Methods for analyzing sequencing reads

Abstract

The disclosure relates to improved sequencing reactions. Specifically, the disclosure provides methods which allow for identification of sequencing reads that originated from the same DNA molecule based at least in part on (i) one or more locations into which a dNTP comprising a modified nucleobase was incorporated (such as during an end-repair step), (ii) one or more locations of one or more inappropriately converted nucleobases and / or one or more locations of one or more inappropriately unconverted nucleobases, and / or (iii) one or more additional sequencing errors (such as those introduced during an amplification step), such as one or more additional sequencing errors affecting one or more CpH positions.

Description

METHODS FOR ANALYZING SEQUENCING READSCROSS-REFERENCE TO RELATED APPLICATIONS

[0001] This application claims the benefit of priority of US Provisional Patent Application No. 63 / 624,720, filed January 24, 2024, which is incorporated by reference herein in its entirety for all purposes.FIELD OF THE INVENTION

[0002] The disclosure relates to methods for grouping DNA sequencing reads using CpH methylation patterns, to identify reads (and read families) derived from the same parent DNA molecule. Such methods are important for accurately detecting the methylation status and variants present in DNA, which, in turn, can be important for inferring information about the cells and subject from which the DNA sample is derived.INTRODUCTION AND SUMMARY

[0003] Duplicate reads are sequence fragments that are derived (e.g., through an amplification process) from the same parent DNA molecule. Identification of duplicate reads (which may involve grouping of duplicate reads into families) can be leveraged to improve the accuracy of sequencing results. For example, certain sequencing and amplification errors can affect each duplicate read independently of others, and thus a family consensus sequence can provide improved sequence accuracy as compared to each individual read alone. Reads derived from the same original molecule can be grouped, for example, by aligning each read to a reference sequence to identify reads bearing the same start and end genomic coordinates. However, certain fragmentation methods (such as enzyme-based fragmentation or amplicon sequencing) may produce non-random fragmentation patterns, such that reads derived from different DNA molecules may appear to share start and / or end coordinates, thereby reducing the accuracy of read family grouping. Additionally, certain processing steps can produce multiple DNA molecules having the same sequence. In these cases, reads derived from distinct molecule may be indistinguishable. Reads derived from the same original molecule can also be grouped, for example, by attaching identifiers (e.g., barcodes) to the reads. However, barcodes may also be sensitive to sequencing and amplification errors. Such errors may be avoided using, e.g., designs enforcing minimum-distance, but such barcodes must be individually synthesized and are thus resource-intensive .

[0004] Given the benefits and challenges posed by sequence read family grouping, there is a need for improved methods which allow for the identification of sequencing reads derived from the same parent DNA molecule. Such methods can enhance the identification of sequencing data that is known to accurately reflect the original DNA fragment.

[0005] Identification of reads derived from the same original DNA molecule (“family grouping”) is useful for consensus sequence error correction and copy number error correction during postsequencing analysis. Thus, the present disclosure provides embodiments including methods that can improve the accuracy of family grouping, based at least in part on (i) one or more locations into which a dNTP comprising a modified nucleobase (such as mCTP) was incorporated (such as during an end-repair step), (ii) one or more locations of one or more inappropriately converted nucleobases and / or one or more locations of one or more inappropriately unconverted nucleobases, and / or (iii) one or more additional sequencing errors (such as those introduced during an amplification step), such as one or more additional sequencing errors affecting one or more CpH positions.

[0006] Some embodiments of the present disclosure further allow sequence data from an original DNA molecule to be distinguished from sequence data from a region of a DNA molecule that has been synthesized during an end repair reaction (“repaired regions”). This method can therefore be used to avoid using sequence data which derives from these repaired regions to determine the properties of the original DNA molecule. For example, if the method was being used for determining the methylation statuses of cytosine in the original DNA molecule, the observed methylation status in the synthesized regions may not accurately reflect the methylation status of the corresponding nucleoside in the original DNA molecule. The method can therefore be used to determine the modification status of nucleosides using data which is known to derive from the original DNA molecule (i.e. not the synthesized regions) and thus accurately represent the methylation status of the nucleosides in the original DNA molecule. Similarly, the identification of such synthesized regions can be used to interpret sequencing data related to variant detection. For example, because the synthesized region is templated from the complementary strand, it will erase any base mismatches that were present in this region in the original DNA molecule. As such, any variants detected within the synthesized region cannot be confidently classified as having double-stranded support (i.e. sequence data from both strands of the original DNA molecule that supports that variant).

[0007] The disclosed methods use at least one type of dNTP which comprises a modified base (e g. a methylated deoxycytidine triphosphate, such as deoxycytidine triphosphate comprising 5- methylcytosine (5mC) and / or 5 -hydroxymethyl -cytosine (5hmC)) in the end repair reaction. In particular embodiments, the dNTP is 5mC. During end repair reactions, the methylated deoxycytidine triphosphate will be incorporated into the synthesized regions regardless of the sequence context. This will result in methylated cytosines in non-CpG positions (i.e., methylated cytosines in a CpH context), which are very rare in nature. These methylated non-CpG cytosines can therefore be used as labels for identifying synthesized regions in the end repaired DNA molecule. Similarly, other types of dNTP which comprise a modified base uncommon or absent in nature can be used. The identification of such modified bases can be performed using modification-sensitive sequencing, and regions comprising these modifications can be interpreted as defining regions which were synthesized in the end repair reaction.

[0008] Subsequent sequence analysis of the DNA sample can then identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) one or more locations into which a dNTP comprising a modified nucleobase (such as mCTP) was incorporated (such as during an end-repair step), (ii) one or more locations of one or more inappropriately converted nucleobases and / or one or more locations of one or more inappropriately unconverted nucleobases, and / or (iii) one or more additional sequencing errors (such as those introduced during an amplification step), such as one or more additional sequencing errors affecting one or more CpH positions. Optionally, subsequent sequence analysis (e.g., to determine a consensus sequence of the original DNA molecule represented by a grouped family of sequence reads) may also be focused on the regions of the original DNA molecule that are known not to be synthesized during the end repair reaction, and thus accurately reflect the properties (e.g. modification status) of the original DNA molecule. This method therefore provides sequencing data with improved accuracy because it allows the subsequent sequence analysis to be focused on regions which do not contain the artifactual information (e.g. methylation statuses) associated with the regions of the DNA which are synthesized during the end repair reaction. The method can also be used to quantify the level of DNA damage in the original DNA molecule through the quantitative analysis of the synthesized region.

[0009] In one aspect, the disclosure provides a method comprising: (a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modifiedbase, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations; (b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing is capable of identifying the base modification in the at least one type of dNTP, and the sequencing data comprises a plurality of sequencing reads; and (c) analyzing the sequence data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on the one or more locations into which the at least one dNTP comprising a modified base was incorporated. In some such embodiments, the modification-sensitive sequencing comprises subjecting the DNA to a procedure that affects a first nucleobase of the DNA differently from a second nucleobase of the DNA, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity.

[0010] In another aspect, the disclosure provides a method comprising: (a) subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; and (b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

[0011] In yet another aspect, the disclosure provides a method comprising: (a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTPcomprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations; (b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the end-repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end-repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; (c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

[0012] In some embodiments, the end repair is performed with a DNA polymerase which does not have 5 ’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase. In some embodiments, the DNA polymerase is T4 DNA polymerase, T7 DNA polymerase or Klenow fragment. In some embodiments, the end repair is performed with a DNA polymerase which has 5’-3’ exonuclease activity and / or is a strand displacing DNA polymerase. In some embodiments, the at least one type of dNTP which comprises a modified base includes a dNTP comprising 4- methylcytosine (4mC), a dNTP comprising 5-methylcytosine (5mC), a dNTP comprising 5- hydroxymethyl-cytosine (5hmC), a dNTP comprising N6-methyladenosine (6mA), a dNTP comprising bromodeoxyuridine (BrdU) and / or a dNTP comprising 8-oxoguanine (8oxoG). In some embodiments, the method further comprises between steps (a) and (b) performing an A- tailing reaction.

[0013] In some embodiments, the end-repair and the A-tailing reaction is performed in a single tube. In some embodiments, the A-tailing is performed using a DNA polymerase that does not possess 5’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase, optionally the DNA polymerase is HemoKlen Taq. In some embodiments, the A-tailing is performed usinga Taq DNA polymerase, Tfl DNA polymerase, Bst DNA Polymerase, Large Fragment or Tth DNA polymerase.

[0014] In some embodiments, the end-repair and the A-tailing reaction are performed as separate reactions, wherein a reaction clean-up step is performed after the end-repair and before the A-tailing reaction. In some embodiments, the A-tailing is performed using a DNA polymerase that does not possess 3’-5’ exonuclease activity, such as Klenow Fragment lacking 3'-5' exonuclease activity. In some embodiments, the A-tailing is performed using a DNA polymerase that possesses 5’-3’ exonuclease activity and / or is a strand displacing DNA polymerase. In some embodiments, the ligation reaction is a blunt-end ligation reaction. In some embodiments, the ligation reaction is a sticky-end ligation reaction.

[0015] In some embodiments, the modification-sensitive sequencing comprises subjecting the DNA to a procedure that affects a first nucleobase of the DNA differently from a second nucleobase of the DNA, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity. In some embodiments, the modification-sensitive sequencing comprises a conversion procedure that changes the base pairing specificity of the base or does not change the base pairing specificity of the base, depending on the modification status of the base. In some embodiments, the modified base is a methylated cytosine and wherein the conversion procedure converts methylated cytosines, for example the conversion procedure is direct methylation sequencing (DM-seq) or is Tet-assisted conversion with a substituted borane reducing agent, optionally wherein the substituted borane reducing agent is 2-picoline borane, borane pyridine, tertbutylamine borane, or ammonia borane. In some embodiments, the modified base is a methylated cytosine and the conversion procedure converts unmethylated cytosines, for example the conversion procedure is bisulfite conversion, oxidative bisulfite (Ox-BS) conversion, Tet- assisted bisulfite (TAB) conversion, APOBEC-coupled epigenetic (ACE) conversion, enzymatic methyl-seq (EM-seq) or single-enzyme 5-methylctyosine sequencing (SEM-seq). In some embodiments, the modification-sensitive sequencing comprises nanopore-based sequencing or single-molecule real time (SMRT) sequencing. In some embodiments, the modification-sensitive sequencing comprises nanopore-based sequencing and the at least one type of dNTP which comprises a modified base includes a dNTP comprising 4mC (4-methyldeoxy cytidine), a dNTP comprising 5mC (5-methyldeoxycytidine), a dNTP comprising 5hmC (5-hydroxymethyldeoxycytidine), a dNTP comprising 6mA (6-methyldeoxyadenosine), a dNTP comprising BrdU (5-bromodeoxyuridine), dUTP, a dNTP comprising FldU (5- fluorodeoxyuridine), a dNTP comprising IdU (5-iododeoxyuridine), and / or a dNTP comprising EdU (5-ethynyldeoxyuridine). In some embodiments, the modification-sensitive sequencing comprises single-molecule real time (SMRT) sequencing and the at least one type of dNTP which comprises a modified base includes a dNTP comprising a 4mC, a dNTP comprising 5mC, a dNTP comprising 5hmC, a dNTP comprising 6mA, and / or a dNTP comprising 8oxoG (8- oxodeoxy guanosine). In some embodiments, the at least one type of dNTP which comprises a modified base includes a dNTP comprising 4mC, a dNTP comprising 5mC, a dNTP comprising 5hmC, a dNTP comprising 6mA, a dNTP comprising BrdU, dUTP, a dNTP comprising FldU, a dNTP comprising IdU, a dNTP comprising EdU, and / or a dNTP comprising 8oxoG.

[0016] In some embodiments, the modified base is 5mC or 5hmC.Analyzing the sequence data obtained in step (c) comprises the identification of regions comprising the modified base (e g., 5mC or 5hmC) in non-CpG sequence contexts and classifying these regions as regions that were synthesized during the end repair (“repaired regions”). A modified base occurs in a non-CpG sequence context when a base other than G is immediately 3’ of the modified base. In some embodiments, the modified base is other than 5mC or 5hmC, and a repaired region is defined as: (i) the sequence between two non-modified bases spanning a modified base, wherein the bases are of the same identity to the modified bases present in the at least one type of dNTP; and / or (ii) the sequence between a non-modified base and the end of a sequence read, wherein there is no additional non-modified bases between the non-modified base and the end of the sequence read, where the non-modified bases are the same identity as the modified base present in the at least one type of dNTP.

[0017] In some embodiments, the modified base is a methylated cytosine, such as 5mC or 5hmC, such as 5mCpG, and a repaired region is defined as: (i) the sequence between two nonmethylated cytosines which span one or more methylated CpH cytosines; and / or (ii) the sequence between a methylated CpH cytosine and the end of a sequence read, wherein the methylated CpH cytosine is the CpH cytosine most distant from the end of the sequence read, or a subsequence thereof comprising one or more methylated CpH cytosines. Here and throughout this disclosure, in the phrase “most distant from the end of the sequence read,” the “end” is the end of the read closest to a methylated CpH cytosine or, more generally, a location into which a dNTP comprising a modified base was incorporated during end repair.

[0018] In some embodiments, the method further comprises analyzing at least some of the sequence data corresponding to regions that are not identified as being synthesized during the end repair to detect the presence or absence of base modifications or mutations present in the DNA sample. In some embodiments, the method further comprises: (i) filtering out sequence data from the one or more repaired regions during the end repair such that, following family grouping of sequence reads, these sequence data are not used for subsequent analysis; or (ii) flagging sequence data from the one or more repaired regions during the end repair as potentially containing artifactual sequence data that may not be representative of the DNA sample. In some embodiments, the method further comprises analyzing at least some of the sequence data corresponding to regions that are not identified as being synthesized during the end repair to detect the presence or absence of base modifications or mutations present in the DNA sample. In some embodiments, the method is for detecting the methylation status of cytosines in the DNA sample, and wherein the analyzing the sequence data comprises filtering out the one or more regions of the end-repaired DNA that are identified as being synthesized during the end repair such that the one or more regions are not used to determine the methylation status of cytosines in the DNA sample. In some embodiments, the method is for detecting the single nucleotide variants (SNVs) in the DNA sample, and wherein the analyzing the sequence data comprises classifying all base calls within the one or more regions as not having double stranded support.

[0019] In some embodiments, the method further comprises quantifying the DNA damage in the DNA sample through the identification of the one or more regions of the end-repaired DNA that were synthesized during the end repair. In some embodiments, the level of DNA damage is used to predict whether or not a portion of the DNA in the DNA sample is derived from cancerous cells. In some embodiments, the DNA sample comprises cell-free DNA (cfDNA) and the method further comprises analyzing the sequence data obtained in step (c) to determine a level of measured artifacts in the cfDNA. In some embodiments, the method further comparing the level of measured artifacts to one or more reference levels. In some embodiments, the method further comprises (i) predicting whether or not a portion of the cfDNA is derived from cancerous cells using the level of measured artifacts and / or the comparison of the level of measured artifacts to one or more reference levels or (ii) determining a likelihood that a portion of the cfDNA is derived from cancerous cells using the level of measured artifacts and / or the comparison of the level of measured artifacts to one or more reference levels. In someembodiments, the DNA sample comprises cell-free DNA or DNA from formalin fixed paraffin embedded samples.

[0020] In some embodiments, a kit is provided comprising a) a first reagent for end repair to generate end-repaired DNA, wherein the first reagent comprises at least one type of dNTP that comprises a modified base (such as mCTP), b) a second reagent for ligating adapters to the end- repaired DNA to generate adapted DNA, wherein the second reagent also seals nicks present in the end-repaired DNA, c) a reagent for modification-sensitive sequencing that is capable of identifying the base modification in the at least one type of dNTP and / or a DNA polymerase for incorporating the first reagent into DNA during end repair, and d) library adaptors having distinct molecular barcodes.

[0021] In some embodiments, the kit further comprises a plurality of oligonucleotide probes and / or primers for sequencing. In some embodiments, the first reagent of the kit comprises at least one type of dNTP that comprises a modified base selected from a dNTP comprising 4- methylcytosine (4mC), a dNTP comprising 5 -methyl cytosine (5mC), a dNTP comprising 5- hydroxymethyl -cytosine (5hmC), a dNTP comprising N6-methyladenosine (6mA), a dNTP comprising bromodeoxyuridine (BrdU), a dNTP comprising 8-oxoguanine (8oxoG), dUTP, a dNTP comprising fluorodeoxyuridine (FldU), a dNTP comprising iododeoxyuridine (IdU), and / or a dNTP comprising ethynyldeoxyuridine (EdU). In some embodiments, the DNA polymerase of the kit does not have 5 ’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase. In some embodiments, the DNA polymerase of the kit is T4 DNA polymerase, T7 DNA polymerase or Klenow fragment. In some embodiments, the DNA polymerase of the kit has 5’-3’ exonuclease activity and / or is a strand displacing DNA polymerase. In some embodiments, the kit further comprises a reagent for performing an A- tailing reaction. In some embodiments, the reagent for performing the A-tailing reaction comprises a DNA polymerase that does not possess 5’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase, optionally the reagent for performing the A-tailing reaction is HemoKlen Taq. In some embodiments, the reagent for performing the A-tailing reaction comprises a Taq DNA polymerase, Tfl DNA Polymerase, Bst DNA Polymerase, Large Fragment or Tth DNA polymerase. In some embodiments, the reagent for performing the A-tailing reaction comprises a DNA polymerase that does not possess 3 ’-5’ exonuclease activity, optionally wherein the reagent for performing the A-tailing reaction is Klenow Fragment lacking 3'-5' exonuclease activity. In some embodiments, the reagent for performing the A-tailingreaction comprises a DNA polymerase that has 5’-3’ exonuclease activity and / or is a strand displacing DNA polymerase.

[0022] In some embodiments, the kit comprises a) the plurality of oligonucleotide probes selectively hybridize to at least 5, 6, 7, 8, 9, 10, 20, 30, 40 or all genes selected from ALK, APC, BRAF, CDKN2A, EGFR, ERBB2, FBXW7, KRAS, MYC, NOTCH1, NRAS, PIK3CA, PTEN, RBI, TP53, MET, AR, ABL1, AKT1, ATM, CDH1, CSFIR, CTNNB1, ERBB4, EZH2, FGFR1, FGFR2, FGFR3, FLT3, GNA11, GNAQ, GNAS, HNF1 A, HRAS, IDH1, IDH2, JAK2, JAK3, KDR, KIT, MLH1, MPL, NPM1, PDGFRA, PROC, PTPN11, RET,SMAD4, SMARCB1, SMO, SRC, STK11, VHL, TERT, CCND1, CDK4, CDKN2B, RAFI, BRCA1, CCND2, CDK6, NF1, TP53, ARID 1 A, BRCA2, CCNE1, ESRI, RIT1, GATA3, MAP2K1, RHEB, ROS1, ARAE, MAP2K2, NFE2L2, RHOA, and NTRK1, b) the library adaptors do not include flow cell sequences or sequences that permit the formation of hairpin loops for sequencing, c) the library adaptors are blunt ended and Y-shaped, and / or d) the library adaptors are less than or equal to 40 nucleic acid bases in length. In some embodiments, the kit further comprises instructions for performing any of the methods described herein.

[0023] The embodiments described herein include, but are not limited to, the following.

[0024] Embodiment l is a method of sequencing DNA comprising:(a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations;(b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing is capable of identifying the base modification in the at least one type of dNTP, and the sequencing data comprises a plurality of sequencing reads; and(c) analyzing the sequence data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on the one or more locations into which the at least one dNTP comprising a modified base was incorporated.

[0025] Embodiment 2 is the method of embodiment 1, wherein the modification-sensitive sequencing comprises subjecting the DNA to a procedure that affects a first nucleobase of the DNA differently from a second nucleobase of the DNA, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodifiednucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity.

[0026] Embodiment 3 is the method of embodiment 2, wherein the modification-sensitive sequencing further comprises amplifying the DNA after the procedure that affects the first nucleobase of the DNA differently from the second nucleobase of the DNA.

[0027] Embodiment 4 is a method of sequencing DNA comprising:(a) subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modificationsensitive sequencing comprises subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; and(b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

[0028] Embodiment 5 is a method of sequencing DNA comprising:(a) subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modificationsensitive sequencing comprises (i) subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules; wherein the sequencing data comprises a plurality of sequencing reads; and(b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

[0029] Embodiment 6 is the method of embodiment 4 or embodiment 5, wherein step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases.

[0030] Embodiment 7 is the method of embodiment 4 or embodiment 5, wherein step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately unconverted bases.

[0031] Embodiment 8 is the method of embodiment 4 or embodiment 5, wherein step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and the one or more locations of the one or more inappropriately unconverted bases.

[0032] Embodiment 9 is a method of sequencing DNA comprising:(a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations;(b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the end-repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end- repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; and(c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

[0033] Embodiment 10 is a method of sequencing DNA comprising:(a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations;(b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises (i) subjecting the end-repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end- repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules; wherein the sequencing data comprises a plurality of sequencing reads; and(c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

[0034] Embodiment 11 is the method of embodiment 9 or embodiment 10, wherein step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately converted bases.

[0035] Embodiment 12 is the method of embodiment 9 or embodiment 10, wherein step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately unconverted bases.

[0036] Embodiment 13 is the method of embodiment 9 or embodiment 10, wherein step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately converted bases and the one or more locations of the one or more inappropriately unconverted bases.

[0037] Embodiment 14 is the method of any one of embodiments 1, 2, or 9-13, wherein the one or more locations into which the at least one dNTP comprising a modified base was incorporated comprises the location into which the at least one dNTP comprising a modified base was incorporated that is most distant from the end of the sequence read.

[0038] Embodiment 15 is the method of any one of the preceding embodiments, wherein sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences within a Hamming distance of 0-10, 0-9, 0-8, 0-7, 0-6, 0-5, 0-4, 0-3, 0-2, or 0-1, relative to each other.

[0039] Embodiment 16 is the method of any one of the preceding embodiments, wherein sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences having a maximum Hamming distance relative to each other of 1 per 5 nucleotides, 1 per 6 nucleotides, 1 per 7 nucleotides, 1 per 8 nucleotides, 1 per 9 nucleotides, 1 per 10 nucleotides, 1 per 11 nucleotides, 1 per 12 nucleotides, 1 per 13 nucleotides, 1 per 14 nucleotides, 1 per 15 nucleotides, 1 per 16 nucleotides, 1 per 17 nucleotides, 1 per 18 nucleotides, 1 per 19 nucleotides, 1 per 20 nucleotides, 1 per 25 nucleotides, 1 per 30 nucleotides, 1 per 35 nucleotides, 1 per 40 nucleotides, 1 per 45 nucleotides, 1 per 50 nucleotides, 1 per 55 nucleotides, 1 per 60 nucleotides, 1 per 65 nucleotides, 1 per 70 nucleotides, 1 per 75 nucleotides, 1 per 80 nucleotides, 1 per 85 nucleotides, 1 per 90 nucleotides, 1 per 95 nucleotides, 1 per 100 nucleotides, or 1 per n nucleotides where n ranges from 20 to 100.

[0040] Embodiment 17 is the method of any one of embodiments 1, 2, or 9-16, wherein the end repair is performed with a DNA polymerase which does not have 5’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase.

[0041] Embodiment 18 is the method of embodiment 17, wherein the DNA polymerase is T4 DNA polymerase, T7 DNA polymerase or Klenow fragment.

[0042] Embodiment 19 is the method of any one of embodiments 1, 2, or 9-16, wherein the end repair is performed with a DNA polymerase which has 5 ’-3’ exonuclease activity and / or is a strand displacing DNA polymerase.

[0043] Embodiment 20 is the method of any one of embodiments 1, 2, or 9-19, wherein the at least one type of dNTP which comprises a modified base modified base includes a dNTP comprising 4-methylcytosine (4mC), a dNTP comprising 5-methylcytosine (5mC), a dNTP comprising 5-hydroxymethyl-cytosine (5hmC), a dNTP comprising N6-methyladenosine (6mA), a dNTP comprising bromodeoxyuridine (BrdU) and / or a dNTP comprising 8-oxoguanine (8oxoG).

[0044] Embodiment 21 is the method of any one of the preceding embodiments, further comprising performing an A-tailing reaction, optionally after a step of subjecting a DNA sample to end repair.

[0045] Embodiment 22 is the method of embodiment 21, wherein the end-repair and the A- tailing reaction are performed in the same reaction mixture, optionally wherein the end-repair and the A-tailing reaction are performed a single tube and / or optionally wherein the end-repair and the A-tailing reaction are performed without an intervening clean-up step.

[0046] Embodiment 23 is the method of embodiment 22, wherein the A-tailing is performed using a DNA polymerase that does not possess 5’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase, optionally wherein the DNA polymerase is HemoKlen Taq.

[0047] Embodiment 24 is the method of embodiment 22, wherein the A-tailing is performed using a thermostable DNA polymerase.

[0048] Embodiment 25 is the method of embodiment 22, wherein the A-tailing is performed using Taq DNA polymerase, Tfl DNA Polymerase, Bst DNA Polymerase, Large Fragment or Tth DNA polymerase.

[0049] Embodiment 26 is the method of embodiment 21, wherein the end-repair and the A- tailing reaction are performed as separate reactions, wherein a reaction clean-up step is performed after the end-repair and before the A-tailing reaction.

[0050] Embodiment 27 is the method of embodiment 26, wherein the reaction clean-up step removes unincorporated dNTPs.

[0051] Embodiment 28 is the method of embodiment 26 or embodiment 27, wherein the A- tailing is performed using a DNA polymerase that does not possess 3’-5’ exonuclease activity, optionally wherein the DNA polymerase is Klenow Fragment lacking 3’-5’ exonuclease activity.

[0052] Embodiment 29 is the method of embodiment 21 or embodiment 26, wherein the A- tailing is performed using a DNA polymerase that possesses 5 ’-3’ exonuclease activity and / or is a strand displacing DNA polymerase.

[0053] Embodiment 30 is the method of any one of embodiments 21-29, wherein the A tailing reaction is performed at a higher temperature than the end repair, optionally wherein the end repair is performed at about 15-35°C and / or the A tailing is performed at a temperature over about 60°C, further optionally wherein the temperature over 60°C is about 60°C-75°C.

[0054] Embodiment 31 is the method of any one of embodiments 1-20, wherein the ligation reaction is a blunt-end ligation reaction.

[0055] Embodiment 32 is the methods of any one of embodiments 21-31, wherein the ligation reaction is a sticky-end ligation reaction.

[0056] Embodiment 33 is the method of any one of the preceding embodiments, wherein the modification-sensitive sequencing comprises a conversion procedure that changes the base pairing specificity of the base or does not change the base pairing specificity of the base, depending on the modification status of the base.

[0057] Embodiment 34 is the method of embodiment 33, wherein the modified base is a methylated cytosine and wherein the conversion procedure converts methylated cytosines, for example wherein the conversion procedure is DM-Seq or is Tet-assisted conversion with a substituted borane reducing agent, optionally wherein the substituted borane reducing agent is 2- picoline borane, borane pyridine, tert-butylamine borane, or ammonia borane.

[0058] Embodiment 35 is the method of embodiment 33, wherein the modified base is a methylated cytosine and wherein the conversion procedure converts unmethylated cytosines, for example wherein the conversion procedure is bisulfite conversion, oxidative bisulfite (Ox-BS) conversion, Tet-assisted bisulfite (TAB) conversion, APOBEC-coupled epigenetic (ACE) conversion, enzymatic methyl-seq (EM-seq), or single-enzyme 5-methylctyosine sequencing (SEM-seq).

[0059] Embodiment 36 is the method of any one of embodiments 1-32, wherein the modification-sensitive sequencing comprises nanopore-based sequencing or single-molecule real time (SMRT) sequencing.

[0060] Embodiment 37 is the method of embodiment 36, wherein the modification-sensitive sequencing comprises nanopore-based sequencing and wherein the at least one type of dNTP which comprises a modified base includes a dNTP comprising 4mC, a dNTP comprising 5mC, a dNTP comprising 5hmC, a dNTP comprising 6mA, a dNTP comprising BrdU, dUTP, a dNTP comprising FldU, a dNTP comprising IdU, and / or a dNTP comprising EdU.

[0061] Embodiment 38 is the method of embodiment 36, wherein the modification-sensitive sequencing comprises single-molecule real time (SMRT) sequencing and wherein the at least one type of dNTP which comprises a modified base includes a dNTP comprising a 4mC, a dNTP comprising 5mC, a dNTP comprising 5hmC, a dNTP comprising 6mA, and / or a dNTP comprising 8oxoG.

[0062] Embodiment 39 is the method of any one of the preceding embodiments, wherein the modified base is 5mC.

[0063] Embodiment 40 is the method of any one of embodiments 1-38, wherein the modified base is 5hmC.

[0064] Embodiment 41 is the method of any one of the preceding embodiments, wherein analyzing the sequence data comprises the identification of regions comprising the modified base in non-CpG sequence contexts and classifying these regions as regions that were synthesized during the end repair.

[0065] Embodiment 42 is the method of any one of the preceding embodiments, wherein the modified base is other than 5mC or 5hmC.

[0066] Embodiment 43 is the method of any one of embodiments 1-38, wherein the modified base is other than 5mC or 5hmC, and a repaired region is defined as:(i) the sequence between two non-modified bases spanning a modified base, wherein the bases are of the same identity to the modified bases present in the at least one type of dNTP; and / or(ii) the sequence between a non-modified base and the end of a sequence read, wherein there is no additional non-modified bases between the non-modified base and the end of the sequence read, where the non-modified bases are the same identity as the modified base present in the at least one type of dNTP.

[0067] Embodiment 44 is the method of any one of embodiments 1-39, wherein the modified base is a methylated cytosine, optionally wherein the methylated cytosine is 5mC or 5hmC.

[0068] Embodiment 45 is the method of embodiment 44, wherein the methylated cytosine is 5mCpH.

[0069] Embodiment 46 is the method of any one of embodiments 1-41 or 44-45, wherein the modified base is a methylated cytosine, optionally wherein the methylated cytosine is 5mC or 5hmC, and a repaired region is defined as:(i) the sequence between two non-methylated cytosines which span one or more methylated CpH cytosines; and / or(ii) the sequence between a methylated CpH cytosine and an end of a sequence read, wherein the methylated CpH cytosine is the CpH cytosine most distant from the end of the sequence read, or a subsequence thereof comprising one or more methylated CpH cytosines.

[0070] Embodiment 47 is the method of any one of the preceding embodiments, further comprising analyzing at least some of the sequence data corresponding to regions that are not identified as being synthesized during the end repair to detect the presence or absence of base modifications or mutations present in the DNA sample.

[0071] Embodiment 48 is the method of any one of the preceding embodiments, wherein the method further comprises detecting the methylation status of cytosines in the DNA molecules, and wherein the analyzing the sequence data further comprises filtering out the one or more repaired regions of the end-repaired DNA such that the one or more repaired regions are not used to determine the methylation status of cytosines in the DNA sample.

[0072] Embodiment 49 is the method of any one of the preceding embodiments, wherein the method is for detecting the single nucleotide variants (SNVs) in the DNA sample, and wherein the analyzing the sequence data further comprises classifying all base calls within the one or more repaired regions as not having double stranded support.

[0073] Embodiment 50 is the method of any one of embodiments 1-2 or 9-49, wherein the method further comprises quantifying the DNA damage in the DNA sample through the identification of the one or more regions of the end-repaired DNA that were synthesized during the end repair.

[0074] Embodiment 51 is the method of embodiment 50, wherein the level of DNA damage is used to predict whether or not a portion of the DNA in the DNA sample is derived from cancerous cells.

[0075] Embodiment 52 is the method of any one of the preceding embodiments, wherein the DNA sample comprises cell-free DNA (cfDNA) and the method further comprises analyzing the sequence data to determine a level of measured artifacts in the cfDNA.

[0076] Embodiment 53 is the method of embodiment 52, further comprising comparing the level of measured artifacts to one or more reference levels.

[0077] Embodiment 54 is the method of embodiment 52 or embodiment 53, further comprising (i) predicting whether or not a portion of the cfDNA is derived from cancerous cells using the level of measured artifacts and / or the comparison of the level of measured artifacts to one or more reference levels or (ii) determining a likelihood that a portion of the cfDNA is derived from cancerous cells using the level of measured artifacts and / or the comparison of the level of measured artifacts to one or more reference levels.

[0078] Embodiment 55 is the method of any one of embodiments 1-51, wherein the DNA sample comprises cell-free DNA (cfDNA) or DNA from formalin fixed paraffin embedded samples.

[0079] Embodiment 56 is the method of the immediately preceding embodiment, wherein the DNA sample comprises cell-free DNA.

[0080] Embodiment 57 is the method of any one of the preceding embodiments, wherein the DNA sample is from a subject and the method further comprises determining the presence or absence of cancer in the subject based at least in part on the sequencing data.

[0081] Embodiment 58 is the method of any one of the preceding embodiments, further comprising at least one DNA amplification step, optionally wherein the DNA amplification step is performed after a step of subjecting a DNA sample to end repair and before a step of subjecting the end-repaired DNA molecules to modification-sensitive sequencing.

[0082] Embodiment 59 is the method of the immediately preceding embodiment, wherein the DNA amplification step comprises PCR.

[0083] Embodiment 60 is the method of any one of the preceding embodiments, wherein adapters are ligated to the end-repaired DNA molecules or the adapters are ligated to the plurality of DNA molecules.

[0084] Embodiment 61 is the method of the immediately preceding embodiment, wherein the ligation reaction also seals nicks present in the end-repaired DNA.

[0085] Embodiment 62 is the method of any one of embodiments 60 or 61, wherein the adapters comprise molecular barcodes.

[0086] Embodiment 63 is the method of embodiment 62, wherein the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on the molecular barcodes.

[0087] Embodiment 64 is the method of any one of the preceding embodiments, wherein the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on the genomic start and / or stop positions of the plurality of sequencing reads.

[0088] Embodiment 65 is the method of any one of the preceding embodiments, further comprising enriching the DNA for a plurality of target regions, optionally prior to a step of subjecting the end-repaired DNA molecules to modification-sensitive sequencing, or optionally prior to a step of subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing.

[0089] Embodiment 66 is the method of embodiment 65, wherein the plurality of target regions comprises epigenetic target regions.

[0090] Embodiment 67 is the method of embodiment 66, wherein the epigenetic target regions comprise hypermethylation variable target regions.

[0091] Embodiment 68 is the method of embodiment 66 or 67, wherein the epigenetic target regions comprise hypomethylation variable target regions.

[0092] Embodiment 69 is the method of any one of embodiments 65-68, wherein the plurality of target regions comprise sequence-variable target regions.

[0093] Embodiment 70 is the method of any one of the preceding embodiments, wherein sequencing reads that originated from the same end-repaired DNA strand are identified.

[0094] Embodiment 71 is the method of any one of the preceding embodiments, wherein sequencing reads that originated from the same end-repaired DNA strand are identified based at least in part on the one or more locations into which the at least one dNTP comprising a modified base was incorporated.

[0095] In some embodiments, the results of the methods disclosed herein are used as an input to generate a report. The report may be in a paper or electronic format. For example the true methylation status of cytosines or variants, as obtained by the methods disclosed herein, or information derived therefrom, can be displayed directly in such a report. Alternatively or additionally, diagnostic information or therapeutic recommendations which are at least in part based on the methods disclosed herein can be included in the report.

[0096] The various steps of the methods disclosed herein may be carried out at the same or different times, in the same or different geographical locations, e.g. countries, and / or by the same or different people.

[0097] Additional advantages will be set forth in part in the description which follows or may be learned by practice. The advantages will be realized and attained by means of the elements and combinations particularly pointed out in the appended claims.BRIEF DESCRIPTION OF THE DRAWINGS

[0098] FIGS. 1-6 are schematics of exemplary end-repair processes useful in the disclosed methods. Solid mushrooms represent methylated CpG sites and open mushrooms represent unmethylated CpG sites. Solid thick lines represent regions of the DNA molecule that were present in the original DNA molecule (i.e. prior to end repair). Dashed lines represent synthesized regions synthesized during end repair, including regions added to the 3 ’end of DNA molecules at 5’ overhangs during end repair, and internal synthesized regions which result from gap filling and nick translation. Solid thin lines represent synthesized regions synthesized during A-tailing. Cross-hatched circles represent the polymerases used in end repair. Open circles represent the polymerases used in A tailing. Triangles represent ligation sites. Stars represent 5mCpH sites.

[0099] FIG. l is a schematic which shows the effect of combined end repair and A-tailing on the methylation status of cytosines in DNA molecules when using unmodified dCTP in the end repair.[000100] FIG. 2 is a schematic which shows the effect of separate end repair and A-tailing reactions on the methylation status of intact, nicked and gapped DNA molecules when using unmodified dCTP in the end repair.[000101] FIG. 3 is a schematic which shows the effect of end repair followed by blunt end ligation on the methylation status of intact, nicked and gapped DNA molecules when using unmodified dCTP in the end repair.[000102] FIG. 4 is a schematic which shows the effect of combined end repair and A-tailing reactions on the methylation status of intact, nicked and gapped DNA molecules when using methylated CTP in the end repair and A tailing reaction.[000103] FIG. 5 is a schematic which shows the effect of separate end repair and A-tailing reactions on the methylation status of intact, nicked and gapped DNA molecules when using methylated CTP in the end repair.[000104] FIG. 6 is a schematic which shows the effect of end repair followed by blunt end ligation on the methylation status of intact, nicked and gapped DNA molecules when using methylated CTP in the end repair.[000105] FIG. 7A is a plot showing the estimated level of end repair in paired strands of a DNA molecule. FIG. 7B is a sequence diagram which shows exemplary aligned forward (bottom two sequences) and reverse strands (top two sequences). Aligned reads are shown, with indicating any non-cytosine base, ‘o’ and ‘M’ indicating unmethylated and methylated cytosines, respectively.[000106] FIG. 8 shows a series of M-bias plots, which show percentage methylation levels at CpG sites (upper row) and non-CpG sites (lower row) throughout sequence reads. The two left hand columns represent experiments performed using a single tube end repair / A-tailing reaction with dCTP comprising unmodified cytosine, whereas the two right hand columns represent experiments performed using a single tube end repair / A-tailing reaction with dCTP comprising 5-methylcytosine (5mCTP).[000107] FIG. 9 shows a series of M-bias plots, which show percentage methylation levels at CpG sites (upper row) and non-CpG sites (lower row) throughout sequence reads. The two left hand columns represent experiments performed using end repair with dCTP comprising unmodified cytosine, followed by blunt end ligation. The three right hand columns represent experiments performed using a single tube end repair / A-tailing reaction with dCTP comprising unmodified cytosine followed by sticky end ligation.[000108] FIG. 10 shows a series of M-bias plots, which show percentage methylation levels at CpG sites (upper row) and non-CpG sites (lower row) throughout sequence reads. The three left hand columns represent experiments performed using end repair with dCTP comprising 5- methylcytosine (5mCTP), followed by blunt end ligation. The three right hand columns represent experiments performed using a single tube end repair / A-tailing reaction with dCTP comprising 5-methylcytosine (5mCTP) followed by sticky end ligation.[000109] FIGS. 11 A-l IB show a comparison of incorporation of mCTP in positive (A) and negative (B) control regions versus incorporation of CTP after end-repair / A-tailing.[000110] FIGS. 12A-12D show comparisons of mCTP end trimming versus CTP end trimming after end-repair / A-tailing.[000111] FIG. 13 is a schematic diagram of an example of a system suitable for use with some embodiments of the disclosure.[000112] FIGS. 14A-14C are workflows showing exemplary methods of grouping sequence reads into families corresponding to one strand of one DNA molecule, according to the disclosed embodiments.[000113] FIG. 15 shows the cumulative distribution of end-repair position (relative to 3’ end) as a function of DNA insert size. This distribution was estimated from average CpH methylation levels in a cfDNA sample subjected to end repair using mCTP.DETAILED DESCRIPTION[000114] Reference will now be made in detail to certain embodiments of the disclosure. While the disclosure will be described in conjunction with such embodiments, it will be understood that they are not intended to limit the disclosure to those embodiments. On the contrary, the disclosure is intended to cover all alternatives, modifications, and equivalents, which may be included within the disclosure as defined by the appended claims.[000115] Before describing the present teachings in detail, it is to be understood that the disclosure is not limited to specific compositions or process steps, as such may vary. It should be noted that, as used in this specification and the appended claims, the singular form “a”, “an” and “the” include plural references unless the context clearly dictates otherwise. Thus, for example, reference to “a nucleic acid” includes a plurality of nucleic acids.[000116] Numeric ranges are inclusive of the numbers defining the range. Measured and measurable values are understood to be approximate, taking into account significant digits and the error associated with the measurement.[000117] Unless specifically noted in the above specification, embodiments in the specification that recite “comprising” various components are also contemplated as “consisting of’ or “consisting essentially of’ the recited components.[000118] The section headings used herein are for organizational purposes and are not to be construed as limiting the disclosed subject matter in any way.[000119] All patents, patent applications, websites, other publications or documents and the like cited herein whether supra or infra, are expressly incorporated by reference in their entirety forall purposes to the same extent as if each individual item were specifically and individually indicated to be so incorporated by reference. If different versions of a publication, website or the like are published at different times, the version most recently published at the effective filing date of the application is meant, unless otherwise indicated.I. Definitions[000120] A “reaction cleanup” refers to the removal of contaminants such as salts, enzymes, unincorporated dNTPs, primers, ethidium bromide, and other impurities that can interfere with downstream analysis. For example, when a reaction cleanup is performed between end repair and an A-tailing reaction, it removes unincorporated dNTPs such that the A-tailing reaction can be performed solely in the presence of dATP (i.e. not dCTP, dGTP and dCTP, as used in the end tailing reaction). Reaction cleanups can be performed using commercially available kits such as MinElute Reaction Cleanup Kit (Qiagen)[000121] “Repaired regions”, also referred to as “synthesized regions” or “regions of the end- repaired DNA that were synthesized during the end repair” refer to regions of the DNA that were not present in the DNA prior to the end repair and A-tailing reactions. They are regions which have been synthesized by the polymerases used in the end repair and / or A tailing reactions, if present. In instances where the A-tailing is performed in the same tube as the end repair reaction, all four types of dNTPs will be present, and thus the polymerases used for A-tailing may generate synthesized regions, e g. through nick translation. In instances where the A-tailing is performed separately to the end repair reaction, and these steps are separated by a reaction cleanup, only dATP will be present in the A-tailing reaction, and thus the polymerases used for A-tailing will not typically generate synthesized regions because the dNTP components are not all present in the A-tailing reaction mix.[000122] As used herein, “base pairing specificity” refers to the standard DNA base (A, C, G, or T) for which a given base most preferentially pairs. Thus, for example, unmodified cytosine and 5-methylcytosine have the same base pairing specificity (i.e., specificity for G) whereas uracil and cytosine have different base pairing specificity because uracil has base pairing specificity for A while cytosine has base pairing specificity for G. The ability of uracil to form a wobble pair with G, for example, is irrelevant because uracil nonetheless most preferentially pairs with A among the four standard DNA bases.[000123] A “type of dNTP” refers to a dNTP comprising a specific base, including A, T, G or C. Accordingly, wherein an end repair reaction is performed with dNTPs, wherein at least one typeof dNTP comprises a modified base, the end repair reaction may be performed using dCTP comprising 5mC, and dATP, dTTP and dGTP all comprising non-modified bases.[000124] “Capable of identifying the base modification in the at least one type of dNTP” refers to the ability of a modification-sensitive sequencing method to detect the presence or absence of the base modification in the at least one type of dNTP comprising a modified base used in the end repair. This detection of the base modification may be direct, such as in nanopore sequencing or single molecule real time sequencing, wherein the sequencing data itself indicates the presence or absence of a base modification. Alternatively, the detection of the base modification may be indirect, for example wherein the method involves a conversion procedure which alters the base pairing specificity dependent on the base modification status. It is these changes in base pairing specificity which can be detected by the sequencing method, e.g. through the comparison of the sequencing data to a reference sequence. Moreover, a modificationsensitive sequencing method is capable of identifying the base modification in the at least one type of dNTP regardless of whether it can distinguish one base modification from all other base modifications. For example, one form of modification-sensitive sequencing is sequencing after bisulfite conversion. This method is capable of distinguishing 5hmC and 5mC from unmethylated cytosine, but cannot distinguish 5hmC from 5mC.[000125] Bases of the “same identity” refer to the same base, regardless of modification status of that base. For example, cytosine is considered to be the “same identity” as 5-methylcytosine (5mC) and / or 5 -hydroxymethyl -cytosine (5hmC), despite them having different modification statuses.[000126] “ Cell-free DNA,” “cfDNA molecules,” or simply “cfDNA” include DNA molecules that naturally occur in a subject in extracellular form (e.g., in blood, serum, plasma, or other bodily fluids such as lymph, cerebrospinal fluid, urine, or sputum). While the cfDNA originally existed in a cell or cells in a large complex biological organism, e.g., a mammal, it has undergone release from the cell(s) into a fluid found in the organism, and may be obtained from a sample of the fluid without the need to perform an in vitro cell lysis step.[000127] As used herein, “cellular nucleic acids” means nucleic acids that are disposed within one or more cells from which the nucleic acids have originated, at least at the point a sample is taken or collected from a subject, even if those nucleic acids are subsequently removed (e.g., via cell lysis) as part of a given analytical process.[000128] DNA is “derived from cancerous cells” if it originated from a tumor cell. Cell free DNA derived from cancerous cells includes ctDNA or circulating tumor DNA. Tumor cells are neoplastic cells that originated from a tumor, regardless of whether they remain in the tumor or become separated from the tumor (as in the cases, e.g., of metastatic cancer cells and circulating tumor cells).[000129] The term “methylation” or “DNA methylation” refers to addition of a methyl group to a nucleotide base in a nucleic acid molecule. In some embodiments, methylation refers to addition of a methyl group to a cytosine at a CpG site (cytosine-phosphate-guanine site (i.e., a cytosine followed by a guanine in a 5’ -> 3’ direction of the nucleic acid sequence)). In some embodiments, DNA methylation refers to addition of a methyl group to adenine, such as in N6- methyladenine (6mA). In some embodiments, DNA methylation is 5-methylation (modification of the carbon in the 5th position of the cytosine ring). In some embodiments, 5-methylation refers to addition of a methyl group to the 5C position of the cytosine to create 5-methylcytosine (5mC). In some embodiments, methylation comprises a derivative of 5mC. Derivatives of 5mC include, but are not limited to, 5-hydroxymethylcytosine (5-hmC), 5-formylcytosine (5-fC), and 5-caryboxylcytosine (5-caC). In some embodiments, DNA methylation is 3C methylation (modification of the carbon in the 3rdposition of the cytosine ring). In some embodiments, 3C methylation comprises addition of a methyl group to the 3C position of the cytosine to generate 3 -methylcytosine (3mC). Methylation can also occur at non-CpG sites, for example, methylation can occur at a CpA, CpT, or CpC site. DNA methylation can change the activity of methylated DNA region. For example, when DNA in a promoter region is methylated, transcription of the gene may be repressed. DNA methylation is critical for normal development and abnormality in methylation may disrupt epigenetic regulation. The disruption, e.g., repression, in epigenetic regulation may cause diseases, such as cancer. Promoter methylation in DNA may be indicative of cancer.[000130] The “modified nucleoside profile of DNA” means the position and identity of the nucleoside and the modification status of the nucleoside, such as methylations, within a DNA sequence. As described above, different modification sensitive sequencing methods can be used to detect such modifications. This includes methods which involve conversion followed by sequencing detect one or more different types of modified or unmodified nucleoside. For example, the TAPS method detects, but does not distinguish between, 5-methylcytosine (5mC) and 5-hydroxymethyl-cytosine (5hmC). Hence, a method for analyzing the modified nucleosideprofile of DNA in a sample typically means identifying particular modifications or groups of modification, such as 5mC and / or 5hmC. Modified nucleosides are identified according to the specific method / conversion procedure being used as described above. This generally involves comparing sequence data obtained from DNA that has been subjected to a conversion procedure to a reference sequence. Typically, the method involves (i) comparing the sequence data with (A) one or more pre-determined reference sequence; or (B) sequence data obtained by sequencing a sub-sample of the DNA that was not subjected to the conversion procedure, for example a subsample that was separated before subjecting a separate subsample to the conversion procedure, for example as described herein; and (ii) identifying point differences between the converted DNA sequences and the reference sequence(s) (A) or non-converted DNA sequences (B) as nucleosides (in the initial sample) having a modification status that permits a change in base pairing specificity on exposure to the conversion procedure.[000131] As used herein, a modification or other feature is present in “a greater proportion” in a first sample or population of nucleic acid than in a second sample or population when the fraction of nucleotides with the modification or other feature is higher in the first sample or population than in the second population. For example, if in a first sample, one tenth of the nucleotides are mC, and in a second sample, one twentieth of the nucleotides are mC, then the first sample comprises the cytosine modification of 5-methylation in a greater proportion than the second sample.[000132] As used herein, “without substantially altering base-pairing specificity” of a given nucleobase means that a majority of molecules comprising that nucleobase that can be sequenced do not have alterations of the base pairing specificity of the second nucleobase relative to its base pairing specificity as it was in the originally isolated sample. In some embodiments, 75%, 90%, 95%, or 99% of molecules comprising that nucleobase that can be sequenced do not have alterations of the base pairing specificity of the second nucleobase relative to its base pairing specificity as it was in the originally isolated sample.[000133] As used herein, “base pairing specificity” refers to the standard DNA base (A, C, G, or T) for which a given base most preferentially pairs. Thus, for example, unmodified cytosine and 5-methylcytosine have the same base pairing specificity (i.e., specificity for G) whereas uracil and cytosine have different base pairing specificity because uracil has base pairing specificity for A while cytosine has base pairing specificity for G. The ability of uracil to form a wobble pairwith G is irrelevant because uracil nonetheless most preferentially pairs with A among the four standard DNA bases.[000134] As used herein, “modified cytosine” refers to a cytosine in which at least one position of the cytosine has been substituted with a chemical moiety, such as a methyl or hydroxymethyl, that is different from the substituent at that position in unmodified cytosine. For the avoidance of doubt, “modified cytosine” does not include unmodified cytosine.[000135] As used herein, a “combination” comprising a plurality of members refers to either of a single composition comprising the members or a set of compositions in proximity, e.g., in separate containers or compartments within a larger container, such as a multiwell plate, tube rack, refrigerator, freezer, incubator, water bath, ice bucket, machine, or other form of storage. [000136] The “capture yield” of a collection of probes for a given target set refers to the amount (e.g., amount relative to another target set or an absolute amount) of nucleic acid corresponding to the target set that the collection of probes captures under typical conditions. Exemplary typical capture conditions are an incubation of the sample nucleic acid and probes at 65°C for 10-18 hours in a small reaction volume (about 20 pL) containing stringent hybridization buffer. The capture yield may be expressed in absolute terms or, for a plurality of collections of probes, relative terms. When capture yields for a plurality of sets of target regions are compared, they are normalized for the footprint size of the target region set (e.g., on a per-kilobase basis). Thus, for example, if the footprint sizes of first and second target regions are 50 kb and 500 kb, respectively (giving a normalization factor of 0.1), then the DNA corresponding to the first target region set is captured with a higher yield than DNA corresponding to the second target region set when the mass per volume concentration of the captured DNA corresponding to the first target region set is more than 0.1 times the mass per volume concentration of the captured DNA corresponding to the second target region set. As a further example, using the same footprint sizes, if the captured DNA corresponding to the first target region set has a mass per volume concentration of 0.2 times the mass per volume concentration of the captured DNA corresponding to the second target region set, then the DNA corresponding to the first target region set was captured with a two-fold greater capture yield than the DNA corresponding to the second target region set.[000137] “Capturing” one or more target nucleic acids refers to preferentially isolating or separating the one or more target nucleic acids from non-target nucleic acids.[000138] A “captured set” of nucleic acids refers to nucleic acids that have undergone capture.[000139] A “target-region set” or “set of target regions” refers to a plurality of genomic loci targeted for capture and / or targeted by a set of probes (e.g., through sequence complementarity). [000140] “Corresponding to a target region set” means that a nucleic acid, such as cfDNA, originated from a locus in the target region set or specifically binds one or more probes for the target-region set.[000141] As used herein, a “differentially methylated region” (DMR) refers to a region of DNA having a detectably different degree of methylation in at least one cell or tissue type relative to the degree of methylation in the same region of DNA from at least one other cell or tissue type; or having a detectably different degree of methylation in at least one cell or tissue type obtained from a subject having a disease or disorder relative to the degree of methylation in the same region of DNA in the same cell or tissue type obtained from a healthy subject. In some embodiments, a DMR has a detectably higher degree of methylation (e.g., a hypermethylated region) in at least one cell or tissue type relative to the degree of methylation in the same region of DNA from at least one other cell or tissue type or from the same cell or tissue type from a healthy subject. In some embodiments, a DMR has a detectably lower degree of methylation (e.g., a hypomethylated region) in at least one cell or tissue type relative to the degree of methylation in the same region of DNA from at least one other cell or tissue type or from the same cell or tissue type from a healthy subject.[000142] “Specifically binds” in the context of an probe or other oligonucleotide and a target sequence means that under appropriate hybridization conditions, the oligonucleotide or probe hybridizes to its target sequence, or replicates thereof, to form a stable probe:target hybrid, while at the same time formation of stable probe:non-target hybrids is minimized. Thus, a probe hybridizes to a target sequence or replicate thereof to a sufficiently greater extent than to a nontarget sequence, to enable capture or detection of the target sequence. Appropriate hybridization conditions are well-known in the art, may be predicted based on sequence composition, or can be determined by using routine testing methods (see, e.g., Sambrook et al., Molecular Cloning, A Laboratory Manual, 2nd ed. (Cold Spring Harbor Laboratory Press, Cold Spring Harbor, NY, 1989) at §§ 1.90-1.91, 7.37-7.57, 9.47-9.51 and 11.47-11.57, particularly §§ 9.50-9.51, 11.12- 11.13, 11.45-11.47 and 11.55-11.57, incorporated by reference herein).[000143] “Sequence-variable target region set” refers to a set of target regions that may exhibit changes in sequence such as nucleotide substitutions (i.e., single nucleotide variations),insertions, deletions, or gene fusions or transpositions in neoplastic cells (e.g., tumor cells and cancer cells).[000144] “Epigenetic target region set” refers to a set of target regions that may show sequenceindependent changes in neoplastic cells (e.g., tumor cells and cancer cells) or that may show sequence-independent changes in cfDNA from subjects having cancer relative to cfDNA from healthy subjects. Examples of sequence-independent changes include, but not limited to, changes in methylation (increases or decreases), nucleosome distribution, CTCF binding, transcription start sites, and regulatory protein binding regions. For present purposes, loci susceptible to neoplasia-, tumor-, or cancer-associated focal amplifications and / or gene fusions may also be included in an epigenetic target region set because detection of a change in copy number by sequencing or a fused sequence that maps to more than one locus in a reference genome tends to be more similar to detection of exemplary epigenetic changes discussed above than detection of nucleotide substitutions, insertions, or deletions, e.g., in that the focal amplifications and / or gene fusions can be detected at a relatively shallow depth of sequencing because their detection does not depend on the accuracy of base calls at one or a few individual positions.[000145] The term “hypermethylation” refers to an increased level or degree of methylation of nucleic acid molecule(s) relative to the other nucleic acid molecules within a population (e.g., sample) of nucleic acid molecules. In some embodiments, hypermethylated DNA can include DNA molecules comprising at least 1 methylated residue, at least 2 methylated residues, at least 3 methylated residues, at least 5 methylated residues, or at least 10 methylated residues.[000146] The term “hypomethylation” refers to a decreased level or degree of methylation of nucleic acid molecule(s) relative to the other nucleic acid molecules within a population (e.g., sample) of nucleic acid molecules. In some embodiments, hypomethylated DNA includes unmethylated DNA molecules. In some embodiments, hypomethylated DNA can include DNA molecules comprising 0 methylated residues, at most 1 methylated residue, at most 2 methylated residues, at most 3 methylated residues, at most 4 methylated residues, or at most 5 methylated residues.[000147] As used herein, “methylation status” can refer to the presence or absence of methyl group on a DNA base (e.g. cytosine) at a particular genomic position in a nucleic acid molecule. It can also refer to the degree of methylation in a nucleic acid sequence (e.g., highly methylated, low methylated, intermediately methylated or unmethylated nucleic acid molecules). Themethylation status can also refer to the number of nucleotides methylated in a particular nucleic acid molecule.[000148] As used herein, “mutation” refers to a variation from a known reference sequence and includes mutations such as, for example, single nucleotide variants (SNVs), and insertions or deletions (indels). A mutation can be a germline or somatic mutation. In some embodiments, a reference sequence for purposes of comparison is a wildtype genomic sequence of the species of the subject providing a test sample, typically the human genome.[000149] As used herein, the terms “neoplasm” and “tumor” are used interchangeably. They refer to abnormal growth of cells in a subject. A neoplasm or tumor can be benign, potentially malignant, or malignant. A malignant tumor is referred to as a cancer or a cancerous tumor. [000150] As used herein, “next-generation sequencing” or “NGS” refers to sequencing technologies having increased throughput as compared to traditional Sanger- and capillary electrophoresis-based approaches, for example, with the ability to generate hundreds of thousands of relatively small sequence reads at a time. Some examples of next-generation sequencing techniques include, but are not limited to, sequencing by synthesis, sequencing by ligation, and sequencing by hybridization. In some embodiments, next-generation sequencing includes the use of instruments capable of sequencing single molecules. Examples of commercially available instruments for performing next-generation sequencing include, but are not limited to, NextSeq, HiSeq, NovaSeq, MiSeq, Ion PGM and Ion GeneStudio S5.[000151] As used herein, “nucleic acid tag” refers to a short nucleic acid (e.g., less than about 500 nucleotides, about 100 nucleotides, about 50 nucleotides, or about 10 nucleotides in length), used to distinguish nucleic acids from different samples (e.g., representing a sample index), distinguish nucleic acids from different partitions (e.g., representing a partition tag) or different nucleic acid molecules in the same sample (e.g., representing a molecular barcode), of different types, or which have undergone different processing. The nucleic acid tag comprises a predetermined, fixed, non-random, random or semi-random oligonucleotide sequence. Such nucleic acid tags may be used to label different nucleic acid molecules or different nucleic acid samples or sub-samples. Nucleic acid tags can be single-stranded, double-stranded, or at least partially double-stranded. Nucleic acid tags optionally have the same length or varied lengths. Nucleic acid tags can also include double-stranded molecules having one or more blunt-ends, include 5’ or 3’ single-stranded regions (e.g., an overhang), and / or include one or more other single- stranded regions at other locations within a given molecule. Nucleic acid tags can beattached to one end or to both ends of the other nucleic acids (e.g., sample nucleic acids to be amplified and / or sequenced). Nucleic acid tags can be decoded to reveal information such as the sample of origin, form, or processing of a given nucleic acid. For example, nucleic acid tags can also be used to enable pooling and / or parallel processing of multiple samples comprising nucleic acids bearing different molecular barcodes and / or sample indexes in which the nucleic acids are subsequently being deconvolved by detecting (e.g., reading) the nucleic acid tags. Nucleic acid tags can also be referred to as identifiers (e.g. molecular identifier, sample identifier).Additionally, or alternatively, nucleic acid tags can be used as molecular identifiers (e.g., to distinguish between different molecules or amplicons of different parent molecules in the same sample or sub-sample). This includes, for example, uniquely tagging different nucleic acid molecules in a given sample, or non-uniquely tagging such molecules. In the case of non-unique tagging applications, a limited number of tags (i.e., molecular barcodes) may be used to tag each nucleic acid molecule such that different molecules can be distinguished based on their endogenous sequence information (for example, start and / or stop positions where they map to a selected reference genome, a sub-sequence of one or both ends of a sequence, and / or length of a sequence) in combination with at least one molecular barcode. Typically, a sufficient number of different molecular barcodes are used such that there is a low probability (e.g., less than about a 10%, less than about a 5%, less than about a 1%, or less than about a 0.1% chance) that any two molecules may have the same endogenous sequence information (e.g., start and / or stop positions, subsequences of one or both ends of a sequence, and / or lengths) and also have the same molecular barcode. Terms such as “library adaptors having distinct molecular barcodes” encompass library adaptors for uniquely or non-uniquely tagging molecules, in that regardless of whether the adaptors are for unique or non-unique tagging, distinct barcodes will be present in the population of adaptors.[000152] As used herein, DNA that is “not immobilized” or that is “free in solution” refers to DNA that is not bound covalently or non-covalently to a solid support, such as a bead. Such DNA may be free in solution during any step (such as all steps) of the disclosed methods. [000153] As used herein, “partitioning” refers to physically separating or fractionating a mixture of nucleic acid molecules in a sample based on a characteristic of the nucleic acid molecules. The partitioning can be physical partitioning of molecules. Partitioning can involve separating the nucleic acid molecules into groups or sets based on the level of epigenetic feature (for e.g., methylation). For example, the nucleic acid molecules can be partitioned based on the level ofmethylation of the nucleic acid molecules. In some embodiments, the methods and systems used for partitioning may be found in PCT Patent Application No. PCT / US2017 / 068329, which is hereby incorporated by reference in its entirety.[000154] As used herein, “partitioned set” or “partition” refers to a set of nucleic acid molecules partitioned into a set or group based on the differential binding affinity of the nucleic acid molecules or proteins associated with the nucleic acid molecules to a binding agent. A partitioned set may also be referred to as a subsample. The binding agent binds preferentially to the nucleic acid molecules comprising nucleotides with epigenetic modification. For example, if the epigenetic modification is methylation, the binding agent can be a methyl binding domain (MBD) protein. In some embodiments, a partitioned set can comprise nucleic acid molecules belonging to a particular level or degree of epigenetic feature (for e.g., methylation). For example, the nucleic acid molecules can be partitioned into three sets - one set for highly methylated nucleic acid molecules (first subsample, hyper partition, hyper partitioned set or hypermethylated partitioned set), a second set for low methylated nucleic acid molecules (second subsample, hypo partition, hypo partitioned set or hypomethylated partitioned set), and a third set for intermediate methylated nucleic acid molecules (third subsample, intermediate partitioned set, intermediately methylated partitioned set, residual partitioned set, or residual partition). In another example, the nucleic acid molecules can be partitioned based on the number of methylated nucleotides - one partitioned set can have nucleic acid molecules with nine methylated nucleotides, and another partitioned set can have unmethylated nucleic acid molecules (zero methylated nucleotides).[000155] As used herein, “polynucleotide”, “nucleic acid”, “nucleic acid molecule”, or “oligonucleotide” refers to a linear polymer of nucleosides (including deoxyribonucleosides, ribonucleosides, or analogs thereof) joined by inter-nucleosidic linkages. Typically, a polynucleotide comprises at least three nucleosides. Oligonucleotides often range in size from a few monomeric units, e.g., 3-4, to hundreds of monomeric units. Whenever a polynucleotide is represented by a sequence of letters, such as “ATGCCTG”, the nucleotides are in 5’ -> 3’ order from left to right, and in the case of DNA, “A” denotes deoxyadenosine, “C” denotes deoxycytidine, “G” denotes deoxyguanosine, and “T” denotes deoxythymidine, unless otherwise noted. The letters A, C, G, and T may be used to refer to the bases themselves, to nucleosides, or to nucleotides comprising the bases.[000156] As used herein, “processing” refers to a set of steps used to generate a library of nucleic acids that is suitable for sequencing. The set of steps can include, but are not limited to, partitioning, end repairing, addition of sequencing adapters, tagging, and / or PCR amplification of nucleic acids.[000157] As used herein, “quantitative measure” refers to an absolute or relative measure. A quantitative measure can be, without limitation, a number, a statistical measurement (e.g., frequency, mean, median, standard deviation, or quantile), or a degree or a relative quantity (e.g., high, medium, and low). A quantitative measure can be a ratio of two quantitative measures. A quantitative measure can be a linear combination of quantitative measures. A quantitative measure may be a normalized measure.[000158] As used herein, “reference sequence” refers to a known sequence used for purposes of comparison with experimentally determined sequences. For example, a known sequence can be an entire genome, a chromosome, or any segment thereof. A reference sequence can align with a single contiguous sequence of a genome or chromosome or chromosome arm or can include noncontiguous segments that align with different regions of a genome or chromosome. Examples of reference sequences include, for example, human genomes, such as, hgl9 and hg38.[000159] As used herein, “sample” means anything capable of being analyzed by the methods and / or systems disclosed herein.[000160] As used herein, “sequencing” refers to any of a number of technologies used to determine the sequence (e.g., the identity and order of monomer units) of a biomolecule, e.g., a nucleic acid such as DNA or RNA. Examples of sequencing methods include, but are not limited to, targeted sequencing, single molecule real-time sequencing, exon or exome sequencing, intron sequencing, electron microscopy-based sequencing, panel sequencing, transistor-mediated sequencing, direct sequencing, random shotgun sequencing, Sanger dideoxy termination sequencing, whole-genome sequencing, sequencing by hybridization, pyrosequencing, duplex sequencing, cycle sequencing, single-base extension sequencing, solidphase sequencing, high-throughput sequencing, massively parallel signature sequencing, emulsion PCR, co-amplification at lower denaturation temperature-PCR (COLD-PCR), multiplex PCR, sequencing by reversible dye terminator, paired-end sequencing, near-term sequencing, exonuclease sequencing, sequencing by ligation, short-read sequencing, singlemolecule sequencing, sequencing-by-synthesis, real-time sequencing, reverse-terminator sequencing, nanopore sequencing, 454 sequencing, Solexa Genome Analyzer sequencing,SOLiD™ sequencing, MS-PET sequencing, and a combination thereof. In some embodiments, sequencing can be performed by a gene analyzer such as, for example, gene analyzers commercially available from Illumina, Inc., Pacific Biosciences, Inc., or Applied Biosystems / Thermo Fisher Scientific, among many others.[000161] As used herein, “sequence information” in the context of a nucleic acid polymer means the order and identity of monomer units (e.g., nucleotides, etc.) in that polymer.[000162] As used herein “sequence-variable target region set” refers to a set of target regions that may exhibit changes in sequence such as nucleotide substitutions, insertions, deletions, or gene fusions or transpositions in neoplastic cells (e.g., tumor cells and cancer cells).[000163] As used herein, the terms “somatic mutation” or “somatic variation” are used interchangeably. They refer to a mutation in the genome that occurs after conception. Somatic mutations can occur in any cell of the body except germ cells and accordingly, are not passed on to progeny.[000164] As used herein, “subject” refers to an animal, such as a mammalian species (e.g., human) or avian (e.g., bird) species, or other organism, such as a plant. More specifically, a subject can be a vertebrate, e.g., a mammal such as a mouse, a primate, a simian or a human. Animals include farm animals (e.g., production cattle, dairy cattle, poultry, horses, pigs, and the like), sport animals, and companion animals (e.g., pets or support animals). A subject can be a healthy individual, an individual that has or is suspected of having a disease or a predisposition to the disease, or an individual in need of therapy or suspected of needing therapy. The terms “individual” or “patient” are intended to be interchangeable with “subject”. For example, a subject can be an individual who has been diagnosed with having a cancer, is going to receive a cancer therapy, and / or has received at least one cancer therapy. The subject can be in remission of a cancer. As another example, the subject can be an individual who is diagnosed of having an autoimmune disease. As another example, the subject can be a female individual who is pregnant or who is planning on getting pregnant, who may have been diagnosed of or suspected of having a disease, e.g., a cancer, an auto-immune disease.[000165] As used herein, “target-region set” or “set of target regions” or “target regions” or “target regions of interest” or “regions of interest” or “genomic regions of interest” refers to a plurality of genomic loci or a plurality of genomic regions targeted for capture and / or targeted by a set of probes (e.g., through sequence complementarity).[000166] As used herein, “tumor fraction” refers to the proportion of cfDNA molecules that originated from tumor cells for a given sample, or sample-region pair.[000167] As used herein, an “asymmetric adapter” is a double stranded adapter in which the two strands are not completely complementary or are otherwise distinguishable such that synthesis of a complementary sequence of one strand of the adapter results in a sequence that is distinguishable from the sequence of the other strand of the adapter. Examples of asymmetric adapters are Y-shaped adapters and bubble adapters.[000168] As used herein, a “Y-shaped adapter” refers to an adapter comprising two DNA strands comprising complementary and non-complementary parts, wherein the non-compl ementary parts form single-stranded arms. The adapter can be attached to a sample or insert DNA molecule, e.g., by ligation, such that the complementary (double-stranded) part of the adapter is proximal to the sample or insert DNA molecule. Prior to attachment, the double stranded portion of the Y- shaped adapter may have a blunt end or an overhang, e g., of one to three nucleotides. The single stranded arms may or may not be of identical length.[000169] As used herein, a “bubble adapter” refers to an adapter comprising two DNA strands comprising a non-complementary part flanked by complementary parts, such that the adapter has a single stranded region located between double-stranded regions. The adapter can be attached to a sample or insert DNA molecule, e.g., by ligation, such that one of the complementary (doublestranded) parts of the adapter is proximal to the sample or insert DNA molecule. Prior to attachment, the double stranded portion of the Y-shaped adapter that would be attached to the insert or sample molecule may have a blunt end or an overhang, e.g., of one to three nucleotides. The single stranded portions of the two strands may or may not be of identical length.[000170] The terms “or a combination thereof’ and “or combinations thereof’ as used herein refers to any and all permutations and combinations of the listed terms preceding the term. For example, “A, B, C, or combinations thereof’ is intended to include at least one of A, B, C, AB, AC, BC, or ABC, and if order is important in a particular context, also BA, CA, CB, ACB, CBA, BCA, BAC, or CAB. Continuing with this example, expressly included are combinations that contain repeats of one or more item or term, such as BB, AAA, AAB, BBC, AAABCCCC, CBBAAA, CAB ABB, and so forth. The skilled artisan will understand that typically there is no limit on the number of items or terms in any combination, unless otherwise apparent from the context.[000171] As used herein, “Hamming distance” refers to the number of positions at which two equal-length sequences (e.g., two equal-length DNA sequence reads) differ, e.g., in terms of base identity, methylation status, or both. In some embodiments, the Hamming distance between two equal-length sequences (e.g., two equal-length DNA sequence reads) is the number of positions at which the two sequences differ in methylation status, such as CpH (where H = A, T, or C) methylation status.[000172] A “X1 / / / / / X2 mutation” in a specified polypeptide as used herein, where Xi and X2 are amino acids and min is a position in an amino acid sequence, refers to a substitution in the polypeptide of amino acid Xi present at position mm of the full-length wild-type polypeptide with amino acid X2. The polypeptide is the human polypeptide unless indicated otherwise. The polypeptide comprising the X imi z mutation may, but does not necessarily, comprise additional differences from the wild-type sequence, including but not limited to truncations and deletions as well as other substitutions. For example, a “T1372S mutation” in TET2 refers to a substitution in a TET2 enzyme of the threonine present at position 1372 of the full-length wildtype human TET2 enzyme with a serine. Position 1372 of wild-type human TET2 aligns to position 258 and 248, respectively, of the truncated TET2 sequences disclosed as SEQ ID NOs: 23 and 24 of US Patent 10,961,525. Similarly, a “V1900X2 mutation” where X2 is A, C, G, I, or P in TET2 refers to a substitution in a TET2 enzyme of the valine present at position 1900 of the full-length wild-type human TET2 enzyme with an alanine, cysteine, glycine, isoleucine, or proline.[000173] “ Or” is used in the inclusive sense, i.e., equivalent to “and / or,” unless the context requires otherwise.II. Exemplary methodsA. Overview[000174] The present disclosure provides methods and systems for analyzing DNA, such as cell- free DNA (cfDNA). Identification of reads derived from the same original molecule (“family grouping”) is useful for consensus sequence error correction and copy number error correction during post-sequencing analysis. The disclosed methods can provide improved identification of sequencing reads that originated from the same DNA molecule (e.g., a single strand of DNA) based at least in part on (i) the one or more locations into which a dNTP comprising a modified nucleobase (such as mCTP) was incorporated (such as during an end-repair step), (ii) one ormore locations of one or more inappropriately converted nucleobases and / or one or more locations of one or more inappropriately unconverted nucleobases, and / or (iii) one or more additional sequencing errors (such as those introduced during an amplification step), such as one or more additional sequencing errors affecting one or more CpH positions. In some embodiments, the one or more additional sequencing errors is a nucleobase incorporated into a DNA molecule in error (such as during an amplification step), or a nucleobase read in error during a sequencing step.[000175] Without wishing to be bound by a particular theory, end repaired regions of DNA from a sample will be the same for all reads derived from the amplicons of a single strand of a DNA molecule, but will differ between the plus and minus strands of the original DNA molecule. Thus, CpH methylation (and any conversion errors) in an original single strand of the DNA molecule will be carried over to all the reads derived from that strand, enabling grouping of reads into families, and distinguishing between original strands (plus and minus) of the original double-stranded DNA molecule. Separate grouping of reads derived from two double-stranded DNA molecules having the same sequence is also enabled. For example, two double-stranded DNA molecules may have the same sequence after an end repair step is performed but have end- repaired regions of different lengths. In this case, reads derived from the plus strand or from the minus strand of each molecule cannot be distinguished based on the molecule’s start / stop coordinates alone. However, end-repaired regions in each molecule exhibit different CpH methylation conversion patterns (at least in part due to the different lengths of the end-repaired regions in each molecule), which can be used to distinguish, for example, plus strand reads derived from the first molecule from plus strand reads derived from the second molecule. Further, patterns of methylation conversion errors (false positives and / or negatives, for example, resulting from conversion errors during any one of the conversion methods disclosed herein) may also be used to distinguish sequence reads derived from the same single stranded DNA molecule. Such patterns of methylation conversion errors can increase the Hamming distance between CpH states of a given DNA molecule, thereby aiding in grouping sequence reads into families. Additional sequencing errors (e.g., errors introduced during an amplification step, such as during PCR) affecting CpH positions in a single-stranded DNA molecule can be addressed during analysis by grouping sequence reads derived from amplicons of the DNA molecule into families with a selected minimum Hamming distance.[000176] Reads that differ with respect to part (iii) above (sequencing errors) will have a nonzero Hamming distance. However, reads that differ with respect to parts (i) and / or (ii) (potentially in addition to type (iii) errors) will generally have a higher Hamming distance. Reads that do not differ with respect to parts (i) and / or (ii) can be grouped into a family using the disclosed methods, despite the presence of the type (iii) errors. In such examples, reads grouped together will share the same one or more loci into which the methylated CpH cytosine was incorporated, and / or the same one or more locations of one or more inappropriately converted cytosines and / or one or more locations of one or more inappropriately unconverted cytosines. Type (iii) sequencing errors (e.g., errors introduced during an amplification step, such as during PCR) affecting CpH positions in a DNA molecule can be addressed during analysis by grouping sequence reads into families with a selected minimum Hamming distance. In some examples, sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences within a Hamming distance of 0-10, 0-9, 0-8, 0-7, 0-6, 0-5, 0-4, 0-3, 0-2, or 0-1, relative to each other. [000177] DNA end repair is a common step in sequencing workflows, e.g., to prepare the DNA adapter ligation and subsequent sequencing. Samples of DNA molecules such as cfDNA typically contain a mixture of blunt ends, 3’ end overhangs and 5’ end overhangs. The end repair step normalizes these ends by removing 3’ overhangs and filling in 5’ overhangs to generate blunt ended DNA, which can then be subjected to blunt-ended adapter ligation or A-tailed before sticky-end ligation. Such end repair steps are commonly used in sequencing workflows, such as those used for mutation analysis and / or those used to determine the methylation status of nucleotides at an individual base resolution.[000178] For example, single-nucleotide resolving assays to detect nucleoside methylation often require a conversion of the modified nucleosides or corresponding unmodified nucleosides to change their base-pairing specificity. The conversion is then detected by sequencing. Examples of such methods include bisulfite and oxidative bisulfite and Tet-assisted bisulfite conversion, EM-seq, TAPS and TAPS conversion, ACE-seq and SEM-seq. See, e.g., Moss et al., Nat Commun. 2018; 9: 5068; Booth et al., Science 2012; 336: 934-937; Yu et al., Cell 2012; 149: 1368-80; Liu et al., Nature Biotechnology 2019; 37:424-429; Schutsky, E.K. et al.; Vaisvila et al. Genome Research 2021 31(7): 1280-1289; and Vaisvila, et al. 2023. Discovery of novel DNA cytosine deaminase activities enables a nondestructive single-enzyme methylationsequencing method for base resolution high-coverage methylome mapping of cell-free and ultralow input DNA. bioRxiv doi: 10.1101 / 2023.06.29.547047 (doi.org / 10.1101 / 2023.06.29.547047). [000179] Bi sulfite-based, EM-seq and SEM-seq methylation assays convert unmethylated cytosine to uracil, which is PCR-amplified and read as thymine in sequencing reactions. In other methods, the epigenetic conversion is opposite, i.e. the modified nucleosides, rather than the unmodified nucleosides, are converted. For example, in the TAPS method, methylated cytosines (5mCs and 5hmCs) are converted to dihydrouridine (DHU), PCR-amplified and read as thymine in sequencing reactions. Single molecule sequencing technologies, such a nanopore-based sequencing and single molecule real time sequencing (SMRT) sequencing can alternatively be used to detect the modification status of nucleosides. These single molecule technologies can directly detect specific modification statuses of nucleosides and thus do not rely on the conversion of the modified nucleosides or corresponding unmodified nucleosides to change their base-pairing specificity.[000180] Some embodiments of the disclosed methods comprise (a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations; (b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing is capable of identifying the base modification in the at least one type of dNTP, and the sequencing data comprises a plurality of sequencing reads; and (c) analyzing the sequence data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on the one or more locations into which the at least one dNTP comprising a modified base was incorporated. In some such embodiments, the modification-sensitive sequencing comprises subjecting the DNA to a procedure that affects a first nucleobase of the DNA differently from a second nucleobase of the DNA, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity. In some embodiments, the modification-sensitive sequencing further comprises amplifying the DNA after the procedure that affects the first nucleobase of the DNA differently from the second nucleobase of the DNA.[000181] Some embodiments of the disclosed methods comprise (a) subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; and (b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases. Some embodiments of the disclosed methods comprise (a) subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modificationsensitive sequencing comprises (i) subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules; wherein the sequencing data comprises a plurality of sequencing reads; and (b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases. In some embodiments, step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases. In a particularembodiment, step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately unconverted bases. In another particular embodiment, step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and the one or more locations of the one or more inappropriately unconverted bases.[000182] Some embodiments of the disclosed methods comprise (a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations; (b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the end- repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end-repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; (c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one type of dNTP comprising a modified base was incorporated, and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases. Some embodiments of the disclosed methods comprise (a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations; (b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtainsequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises (i) subjecting the end-repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end- repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules; wherein the sequencing data comprises a plurality of sequencing reads; and (c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.[000183] In some embodiments, step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one type of dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately converted bases. In a particular embodiment, step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one type of dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately unconverted bases. In another particular embodiment, step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one type of dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately converted bases and the one or more locations of the one or more inappropriately unconverted bases.[000184] In some embodiments, the position at which the end repair process began can be identified by the location into which the at least one dNTP comprising a modified base wasincorporated that is most distant from the end of the sequence read. Thus, in some embodiments, the one or more locations into which the at least one dNTP comprising a modified base was incorporated comprises the location into which the at least one dNTP comprising a modified base was incorporated that is most distant from the end of the sequence read, or a subsequence thereof comprising one or more dNTP comprising a modified base. For example, in a given sequence read, the CpH that is located most distant from the end of the sequence read can be identified as the beginning of an end-repaired region in the sequence read.[000185] In some disclosed embodiments, sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences within a Hamming distance of 0-10, 0-9, 0-8, 0-7, 0-6, 0-5, 0-4, 0-3, 0-2, or 0-1, relative to each other. In some embodiments, sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences having a maximum Hamming distance relative to each other of 1 per 5 nucleotides, 1 per 6 nucleotides, 1 per 7 nucleotides, 1 per 8 nucleotides, 1 per 9 nucleotides, 1 per 10 nucleotides, 1 per 11 nucleotides, 1 per 12 nucleotides, 1 per 13 nucleotides, 1 per 14 nucleotides, 1 per 15 nucleotides, 1 per 16 nucleotides, 1 per 17 nucleotides, 1 per 18 nucleotides, 1 per 19 nucleotides, 1 per 20 nucleotides, 1 per 25 nucleotides, 1 per 30 nucleotides, 1 per 35 nucleotides, 1 per 40 nucleotides, 1 per 45 nucleotides, 1 per 50 nucleotides, 1 per 55 nucleotides, 1 per 60 nucleotides, 1 per 65 nucleotides, 1 per 70 nucleotides, 1 per 75 nucleotides, 1 per 80 nucleotides, 1 per 85 nucleotides, 1 per 90 nucleotides, 1 per 95 nucleotides, 1 per 100 nucleotides, or 1 per n nucleotides where n ranges from 20 to 100.[000186] In other embodiments of the disclosed methods, the modified base is a methylated cytosine, such as 5mC or 5hmC. In some embodiments, the methylated cytosine is 5mCpH (where H = A, T, or C). In other embodiments, the modified base is other than 5mC or 5hmC. In some embodiments wherein the modified base is other than 5mC or 5hmC, a repaired region is defined as (i) the sequence between two non-modified bases spanning a modified base, wherein the bases are of the same identity to the modified bases present in the at least one type of dNTP; and / or (ii) the sequence between a non-modified base and the end of a sequence read, wherein there is no additional non-modified bases between the non-modified base and the end of the sequence read, where the non-modified bases are the same identity as the modified base present in the at least one type of dNTP. In some embodiments wherein the modified base is amethylated cytosine, such as 5mC or 5hmC, a repaired region is defined as (i) the sequence between two non-methylated cytosines which span one or more methylated CpH cytosines; and / or (ii) the sequence between a methylated CpH cytosine and an end of a sequence read, wherein the methylated CpH cytosine is the CpH cytosine most distant from the end of the sequence read, or a subsequence thereof comprising one or more methylated CpH cytosines. [000187] In some of the disclosed embodiments, adapters are ligated to the end-repaired DNA molecules or the adapters are ligated to the plurality of DNA molecules. In some embodiments, the adapters comprise molecular barcodes. In some such embodiments, the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on the molecular barcodes. In some embodiments, the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on the genomic start and / or stop positions of the plurality of sequencing reads. In a particular embodiment, the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on (a) the molecular barcodes and (b) the genomic start and / or stop positions of the plurality of sequencing reads.[000188] During the end repair step, repair and synthesis of regions of the DNA molecule can occur which mean that the modification status of the nucleosides in these regions of the end- repaired DNA may not accurately reflect the modification status of the corresponding modification status in the original DNA fragment. Similarly, the templated nature of end repair can mean that it eradicates any mismatches between complementary strands (e g. as a result of a single-stranded mutation). This can falsely lead to the conclusion that a detected sequence has double-stranded support (i.e. there is sequence data from both strands of the original DNA molecule that supports that sequence). Consequently, using end repair can lead to artifactual information which is not representative of the original DNA fragment, which, in turn, could lead to incorrect inferences in relation to the DNA sample and the subject from which the DNA sample was obtained. Thus, in some embodiments of the disclosed methods, analyzing the sequence data further comprises filtering out the one or more repaired regions of the end-repaired DNA such that the one or more repaired regions are not used to determine the methylation status of cytosines in the DNA sample. In some embodiments, wherein the method is for detecting one or more single nucleotide variants (SNVs) in the DNA sample, analyzing the sequence data further comprises classifying all base calls within the one or more repaired regions as not havingdouble stranded support. In some embodiments, the method further comprises quantifying the DNA damage in the DNA sample through the identification of the one or more regions of the end-repaired DNA that were synthesized during the end repair.[000189] In some embodiments, an “inappropriately converted base” refers to a base (within a DNA molecule) that is not expected to be affected by a conversion procedure (such as described herein) that changes the base-pairing specificity of other nucleotides but nonetheless undergoes conversion, which could lead to an incorrect interpretation of sequencing results. That is, a sequencing step following the conversion procedure that inappropriately converted the base may misidentify the original base. In some embodiments, the inappropriately converted base is an inappropriately converted cytosine, 5mC, or 5hmC. In some embodiments, the inappropriately converted base is an unmethylated cytosine.[000190] In some embodiments, an “inappropriately unconverted base” refers to a base (within a DNA molecule) that is expected to be affected by a conversion procedure (such as described herein) that should change the base-pairing specificity of the nucleoside comprising the base, but the base is nonetheless not converted. A sequencing step following the conversion procedure that failed to convert the base may therefore misidentify the original base. In some embodiments, the inappropriately unconverted base is an inappropriately unconverted cytosine, 5mC, or 5hmC. In some embodiments, the inappropriately unconverted base is an unmethylated cytosine.[000191] The disclosed methods can be combined with analysis of one or more additional biomarkers. In some embodiments, the disclosed methods are combined with one or more methods, such as but not limited to, methods for assessing DNA methylation patterns, DNA mutations (such as somatic mutations), nucleic acid fragmentation patterns, non-coding RNA (such as micro RNAs (miRNAs), ribosomal RNAs, transfer RNAs, small nucleolar RNAs (snow RNAs), and / or small nuclear RNAs (snRNAs)) levels, and / or cell type proportions / levels, cellular locations, and / or structural modifications of one or more proteins (such as in a sample from a subject). In some embodiments, the disclosed methods are combined with one or more analyses of genetic variations including mutations, rare mutations, indels, rearrangements, copy number variations, transversions, translocations, recombinations, inversion, deletions, aneuploidy, partial aneuploidy, polyploidy, chromosomal instability, chromosomal structure alterations, gene fusions, chromosome fusions, gene truncations, gene amplification, gene duplications, chromosomal lesions, DNA lesions, abnormal changes in nucleic acid chemicalmodifications, abnormal changes in epigenetic patterns, and / or abnormal changes in nucleic acid 5-methylcytosine.B. Samples and Subjects[000192] The disclosure relates to methods of identifying sequence reads derived from the same original, single stranded DNA molecule (“family grouping”), and optionally distinguishing artifactual information from real information in workflows involving the sequencing of a DNA sample. In some cases, the DNA sample is obtained or has been obtained from a subject. In some embodiments, the DNA sample may comprise or consist of DNA from a biological sample obtained from a subject. The subject may be a human, a mammal, an animal, a primate, rodent (including mice and rats), or other common laboratory, domestic, companion, service or agricultural animal, for example a rabbit, dog, cat, horse, cow, sheep, goat or pig. Preferably, the DNA sample is from a human. The subject may in some cases have or be suspected of having a cancer, tumor, or neoplasm. In other cases the subject may not have cancer or a detectable cancer symptom. The subject may have been treated with one or more cancer therapy, e.g., any one or more of chemotherapies, antibodies, vaccines or biologies. The subject may be in remission, e g. from a tumor, cancer, or neoplasia (e.g., following treatment such as chemotherapy, surgical resection, radiation, or a combination thereof). The subject may or may not be diagnosed as being susceptible to cancer or any cancer-associated genetic mutations / disorders. In some embodiments, the sample is a DNA sample obtained from a tumor tissue biopsy. The cancer, tumor, or neoplasm may generally be of any type, for example a cancer tumor or neoplasm of the lung, colon, rectum (or colorectum), kidney, breast, prostate, or liver, or other type of cancer as described herein. In some embodiments, the sample is obtained from a subject in remission from a tumor, cancer, or neoplasia (e.g., following chemotherapy, surgical resection, radiation, or a combination thereof). In any of the foregoing embodiments, the pre-cancer, cancer, tumor, or neoplasia or suspected pre-cancer, cancer, tumor, or neoplasia may be of the bladder, head and neck, lung, colon, rectum, kidney, breast, prostate, skin, or liver. In some embodiments, the pre- cancer, cancer, tumor, or neoplasia or suspected pre-cancer, cancer, tumor, or neoplasia is of the lung. In some embodiments, the pre-cancer, cancer, tumor, or neoplasia or suspected pre-cancer, cancer, tumor, or neoplasia is of the colon or rectum. In some embodiments, the pre-cancer, cancer, tumor, or neoplasia or suspected pre-cancer, cancer, tumor, or neoplasia is of the breast. In some embodiments, the pre-cancer, cancer, tumor, or neoplasia or suspected pre-cancer, cancer, tumor, or neoplasia is of the prostate. In any of the foregoing embodiments, the subjectmay be a human subject. In some embodiments, the sample is obtained from a subject having a stage I cancer, stage II cancer, stage III cancer or stage IV cancer.[000193] In some embodiments, the subject may have an infection, a transplant rejection, or other disease or disorder related to changes in the immune system. The subject may not have cancer or a detectable cancer symptom. The subject may have been treated with one or more cancer therapy, e.g., any one or more of chemotherapies, antibodies, vaccines or biologies. The subject may be in remission. The subject may or may not be diagnosed as being susceptible to cancer or any cancer-associated genetic mutations / disorders.[000194] The biological sample can be any biological sample isolated from a subject. Biological samples can include body tissues, such as known or suspected solid tumors (such as carcinomas, adenocarcinomas, or sarcomas), whole blood, platelets, serum, plasma, stool, red blood cells, white blood cells or leucocytes, endothelial cells, tissue biopsies, cerebrospinal fluid synovial fluid, lymphatic fluid, ascites fluid, interstitial or extracellular fluid, the fluid in spaces between cells, including gingival crevicul ar fluid, bone marrow, pleural effusions, cerebrospinal fluid, saliva, mucous, sputum, semen, sweat, urine. In some embodiments, biological samples are body fluids, particularly blood and fractions thereof, or urine. A sample can be in the form originally isolated from a subject or can have been subjected to further processing to remove or add components, such as cells, or enrich for one component relative to another. A sample can be isolated or obtained from a subject and transported to a site of sample analysis. The sample may be preserved and shipped at a desirable temperature, e.g., room temperature, 4°C, -20°C, and / or - 80°C. A sample can be isolated or obtained from a subject at the site of the sample analysis. [000195] In a particular embodiment, the DNA sample comprises cell-free DNA. In another particular embodiment the DNA sample is a DNA sample from a formalin fixed paraffin embedded (FFPE) sample.[000196] In some embodiments, a population of nucleic acids is obtained from a serum, plasma or blood sample from a subject suspected of having neoplasia, a tumor, precancer, or cancer or previously diagnosed with neoplasia, a tumor, precancer, or cancer. The population includes nucleic acids having varying levels of sequence variation, epigenetic variation, and / or postreplication or transcriptional modifications. Post-replication modifications include modifications of cytosine, particularly at the 5-position of the nucleobase, e.g., 5-methylcytosine, 5- hydroxymethylcytosine, 5-formylcytosine and 5-carboxylcytosine.[000197] In some embodiments, the DNA sample is from plasma. The volume of plasma used to obtain the DNA sample can depend on the desired read depth for sequenced regions. Exemplary volumes are 0.4-40 ml, 5-20 ml, 10-20 ml. For example, the volume can be 0.5 m , 1 mL, 5 m 10 mL, 20 mL, 30 mL, or 40 mL. A volume of sampled plasma may be 5 to 20 mL.[000198] A sample can comprise various amounts of DNA that contains genome equivalents. For example, a sample of about 30 ng DNA can contain about 10,000 (104) haploid human genome equivalents and, in the case of cell free DNA (cfDNA), about 200 billion (2xlOu) individual polynucleotide molecules. Similarly, a sample of about 100 ng of DNA can contain about 30,000 haploid human genome equivalents and, in the case of cfDNA, about 600 billion individual molecules.[000199] A sample can comprise nucleic acids from different sources, e.g., nucleic acids from cells and cell-free nucleic acids of the same subject, and nucleic acids from cells and cell-free nucleic acids of different subjects. In some embodiments, the nucleic acid may be DNA. A sample can comprise DNA carrying mutations. For example, a sample can comprise DNA carrying germline mutations and / or somatic mutations. Germline mutations refer to mutations existing in germline DNA of a subject. Somatic mutations refer to mutations originating in somatic cells of a subject, e.g., cancer cells. A sample can comprise DNA carrying cancer- associated mutations (e.g., cancer-associated somatic mutations). A sample can comprise an epigenetic variant, wherein the epigenetic variant associated with the presence of a genetic variant such as a cancer-associated mutation. In some embodiments, the sample comprises an epigenetic variant associated with the presence of a genetic variant, wherein the sample does not comprise the genetic variant.[000200] The DNA sample may be or comprise cell free nucleic acids or cfDNA. The cfDNA may be obtained from a test subject, for example as described above. For example, the sample for analysis may be plasma or serum containing cell-free nucleic acids. “Cell-free DNA” “cfDNA molecules,” or “cfDNA”, for example, include DNA molecules that naturally occur in a subject in extracellular form (e.g., in blood, serum, plasma, or other bodily fluids such as lymph, cerebrospinal fluid, urine, or sputum). While the cfDNA originally existed in a cell or cells in a large complex biological organism, e.g., a mammal, it has undergone release from the cell(s) in vivo into a fluid found in the organism, and may be obtained by obtaining a sample of the fluid without the need to perform an in vitro cell lysis step. In other words, cell-free nucleic acids or cfDNA are nucleic acids or DNA not contained within or otherwise bound to a cell, or thenucleic acids or DNA remaining in a sample after removing intact cells. Cell-free nucleic acids include DNA, RNA, and hybrids thereof, including genomic DNA, mitochondrial DNA, siRNA, miRNA, circulating RNA (cRNA), tRNA, rRNA, small nucleolar RNA (snoRNA), Piwi- interacting RNA (piRNA), long non-coding RNA (long ncRNA), or fragments of any of these. Cell-free nucleic acids can be double-stranded, single-stranded, or a hybrid thereof. A cell-free nucleic acid can be released into bodily fluid through secretion or cell death processes, e.g., cellular necrosis and apoptosis. Some cell-free nucleic acids are released into bodily fluid from cancer cells e.g., circulating tumor DNA, (ctDNA). Others are released from healthy cells. In some embodiments, cfDNA is cell-free fetal DNA (cffDNA). In some embodiments, cell free nucleic acids are produced by tumor cells. In some embodiments, cell free nucleic acids are produced by a mixture of tumor cells and non-tumor cells.[000201] Exemplary amounts of cell-free nucleic acids (e.g. cfDNA) in a sample before amplification range from about 1 fg to about 1 pg, e.g., 1 pg to 200 ng, 1 ng to 100 ng, 10 ng to 1000 ng. For example, the amount can be up to about 600 ng, up to about 500 ng, up to about 400 ng, up to about 300 ng, up to about 200 ng, up to about 100 ng, up to about 50 ng, or up to about 20 ng of cell-free nucleic acid molecules. The amount can be at least 1 fg, at least 10 fg, at least 100 fg, at least 1 pg, at least 10 pg, at least 100 pg, at least 1 ng, at least 10 ng, at least 100 ng, at least 150 ng, or at least 200 ng of cell -free nucleic acid molecules. The amount can be up to 1 femtogram (fg), 10 fg, 100 fg, 1 picogram (pg), 10 pg, 100 pg, 1 ng, 10 ng, 100 ng, 150 ng, or 200 ng of cell-free nucleic acid molecules. The method can comprise obtaining 1 femtogram (fg) to 200 ng cell-free nucleic acid molecules from samples.[000202] Cell-free nucleic acids have an exemplary size distribution of about 100-500 nucleotides, with molecules of 110 to about 230 nucleotides representing about 90% of molecules, with a mode of about 168 nucleotides and a second minor peak in a range between 240 to 440 nucleotides.[000203] Cell-free nucleic acids can be isolated from bodily fluids through a fractionation or partitioning step in which cell-free nucleic acids, as found in solution, are separated from intact cells and other non-soluble components of the bodily fluid. Partitioning may include techniques such as centrifugation or filtration. Alternatively, cells in bodily fluids can be lysed and cell-free and cellular nucleic acids processed together. Generally, after addition of buffers and wash steps, nucleic acids can be precipitated with an alcohol. Further clean up steps may be used such as silica based columns to remove contaminants or salts. Non-specific bulk carrier nucleic acids,DNA or protein for sequencing (e.g., bisulfite sequencing), hybridization, and / or ligation, may be added throughout the reaction to optimize certain aspects of the procedure such as yield.[000204] After such processing, samples can include various forms of nucleic acid including double stranded DNA, single stranded DNA and single stranded RNA. In some embodiments, single stranded DNA and RNA can be converted to double stranded forms so they are included in subsequent processing and analysis steps.[000205] The methods disclosed herein are also particularly suited for the analysis of DNA from formalin-fixed paraffin-embedded (FFPE) tissue samples. While the formalin fixation process adequately preserves the ultrastructure of the tissues, it results in various types of damage to the DNA within the tissues, such as nicks in the DNA. As explained elsewhere herein, these nicks can lead to synthesis of regions of the DNA molecule in the end repair process. The methods disclosed herein allow for these regions to be identified and the sequence data to be interpreted accordingly.C. End repair and A-tailing[000206] End repair refers to methods for repairing DNA by the conversion of non-blunt ended DNA into blunt ended DNA. Sequencing workflows typically use end repair to make ends of DNA molecules compatible with adapters, which are subsequently ligated onto the DNA. Fragmented and / or damaged DNA (e.g. cfDNA or DNA from FFPE samples) often contain nonblunt ends, which contain 3 ’overhangs and / or 5 ’overhangs. A 3 ’overhang refers to the 3’ end of a DNA strand which extends beyond the 5 ’end of the paired strand, resulting in one or more unpaired nucleotides at the 3 ’end of the DNA strand. Conversely, a 5 ’overhang refers to the 5’ end of a DNA strand which extends beyond the 3 ’end of the paired strand, resulting in one or more unpaired nucleotides at the 5 ’end of the DNA strand.[000207] The process of end repair involves the conversion of double-stranded DNA with 3 ’overhangs and / or 5 ’overhangs to double-stranded DNA without overhangs. This can be done using one or more enzymes such as T4 DNA polymerase and / or KI enow fragment. The 3’ to 5’ exonuclease activity of these enzymes removes the 3 ’ends at 3 ’overhangs and the 5’ to 3’ polymerase activity of these enzymes extends the 3’ ends at 5’ overhangs to remove the 5’ overhang, thereby generating a blunt-ended DNA molecule. In order to fill in these 5’ overhangs, end repair is conducted in the presence of dATP, dCTP, dGTP and dTTP. End repair can also include a second step, which involves the addition of a phosphate group to the 5' ends of DNA,by an enzyme such as polynucleotide kinase. This makes the 5’ends of the end-repaired DNA molecules compatible with the subsequent action of DNA polymerases and DNA ligases. [000208] As used herein, the term “A-tailing” refers to the addition of a single deoxyadenosine residue to the end of a blunt-ended double-stranded DNA fragment to form a 3' deoxyadenosine single-base overhang. Such A tailing reactions are conducted with polymerases which have the ability to add a non-templated A to the 3' end of a blunt, double-stranded DNA molecule. Polymerases capable of A-tailing typically do not possess 3’-5’ exonuclease activity. When A- tailing is performed as a separate reaction to end repair, it is typically conducted in the presence of dATP, but the absence of dCTP, dTTP and dGTP. A-tailed fragments are not compatible for self-ligation (i.e., self-circularizatian and concantenation of the DNA), but they are compatible with 3' T-overhangs, which can be used on adapters. Methods comprising end repair, A-tailing and ligation to adapters with 3' T-overhangs can result in higher efficiency ligation, compared to blunt ended ligation, as blunt ligation can lead to self-ligation of the adapters and / or DNA molecules.[000209] In some embodiments, the methods disclosed herein comprise end repair of the DNA molecules followed by blunt end ligation of adapters. In other embodiments, the methods disclosed herein comprise end repair of the DNA molecules followed by A-tailing and sticky-end ligation of T-tailed adapters. When the methods disclosed herein comprise an A-tailing step, it may be performed separately from the end repair with an intervening reaction clean-up step or it may be performed in the same reaction as the end repair (e.g. using NEBNext® Ultra™ II End Repair / dA-Tailing Module (E7546)). In instances wherein the A-tailing reaction is performed in the same reaction as end repair, the sticky-end ligation may be performed with a mixture of T- tailed adapters and C-tailed adapters.[000210] The inventors have investigated the effect of end repair and A-tailing steps on the DNA molecules, and its impact on corresponding sequence data. As shown in Figures 1-10 (discussed in detail below), end repair and A tailing reactions can have varying impacts on the composition of the DNA molecule, dependent on the exact workflow and reaction components used. These reactions can lead to the synthesis of regions at the 3’ends of DNA strands, but also the synthesis of internal regions through nick translation and through gap filling followed by ligation. The impact of such synthesis is shown in Figures 1-10 in the context of its effect on cytosine methylation. Figures 14A-14C and 15 illustrate the use of these end-repaired regions in the identification of reads derived from the same original, single stranded (e.g., + or - strand asshown in FIGS. 14A-14C) DNA molecule (“family grouping”). In FIGS. 14A-14B, two doublestranded DNA molecules have the same sequence after an end repair step is performed, but the end-repaired regions are of different lengths in each molecule. Thus, reads derived from the plus strand or from the minus strand of each molecule cannot be distinguished based on the molecule’s start / stop coordinates alone. However, end-repaired regions in each molecule exhibit different CpH methylation conversion patterns (at least in part due to the different lengths of the end-repaired regions in molecule 1 versus molecule 2), which can be used to distinguish, for example, plus strand reads derived from molecule 1 from plus strand reads derived from molecule 2. FIG. 14B further illustrates that patterns of methylation conversion errors (false positives and / or negatives, for example, resulting from conversion errors during any one of the conversion methods disclosed herein) may also be used to distinguish sequence reads derived from the same single stranded DNA molecule (either the + or - strand as shown in FIG. 14B). Such patterns of methylation conversion errors can increase the hamming distance between CpH states of the given DNA molecule, thereby aiding in grouping sequence reads into families. FIG. 14C illustrates that additional sequencing errors (e.g., errors introduced during an amplification step, such as during PCR) affecting CpH positions in a DNA molecule can be addressed during analysis by grouping sequence reads into families with a selected minimum Hamming distance. Grouping may be performed using any suitable means known in the art, such as, but not limited to, searching for connected subgraphs within a network, k-means clustering, or maximum likelihood estimation. FIG. 15 shows the cumulative distribution of end-repair position (relative to 3’ end) as a function of DNA insert size, as estimated from average CpH methylation levels in a cfDNA sample subjected to end repair using mCTP. The plot demonstrates the existence of end repair length diversity, i.e., that the lengths of end repaired regions are variable and are likely to differ across molecules.[000211] Figure 1 shows a schematic of the impact of combined end repair and A tailing steps on intact double-stranded DNA, nicked double-stranded DNA and gapped double-stranded DNA. In all types of DNA molecule shown, end repair can lead to 3 ’fill in with unmethylated cytosines, which may not reflect the true methylation status of that position in the DNA molecule prior to the generation of the 5’overhang. Inferring the methylation status from this end repaired DNA molecule may lead to incorrect methylation data at this position. In nicked DNA, polymerases which contain 5’ to 3’ exonuclease activity and / or strand displacement activity can lead to the synthesis of internal regions of the DNA molecule through nick translation. If the endrepair reaction is conducted with non-methylated deoxy cytidine triphosphate (dCTP), the synthesized regions will incorporate the non-methylated dCTP, potentially at positions which initially comprised methylated cytosines. Using sequence data from these synthesized regions to infer the methylation status of the original DNA molecule may therefore lead to inaccurate data. In gapped DNA, both the DNA polymerases used in end repair and A tailing can lead to the generation of synthesized regions. The gaps can be filled in with DNA polymerases used in the end repair reaction, regardless of whether they possess 5’ to 3’ exonuclease activity or strand displacement activity. After this gap filling, a nick will still exist between the synthesized region and the region of the original DNA molecule 3’ of the gap. The A-tailing enzymes may then introduce further synthesized regions through nick translation, as described for the nicked DNA. This synthesized region may extend to the 3 ’end of the DNA molecule. mCpH nucleotides incorporated into the repaired regions can then be used in subsequent sequencing analyses to identify the repaired regions and to group reads derived from the same original molecule into families (such as shown in FIGS. 14A-14C). Further, using these synthesized regions to infer the methylation status of the original DNA molecules may lead to incorrect results.[000212] In some embodiments, the end-repair and the A-tailing reactions are performed in a single tube. In such cases, the A tailing reaction can be performed at a higher temperature than the end repair. Optionally, end repair is performed at ambient temperature (e.g. 15-35°C) and A tailing is performed at a temperature over 60°C. The A tailing reaction can be performed using a thermostabile polymerase (e.g. Taq DNA polymerase, Tfl DNA polymerase, Bst DNA Polymerase, Large Fragment or Tth DNA polymerase) and the method further comprises increasing temperature of the sample after the end repair to inactivate the polymerase used in end repair (e.g. T4 DNA polymerase or Klenow fragment). In some embodiments the A-tailing is performed using a DNA polymerase that: (i) does not possess 5 ’-3’ exonuclease activity; and / or (ii) is not a strand displacing DNA polymerase. These properties reduce the ability of the DNA polymerase to extend from nick. This reduces the level of synthesis which may occur during the end repair and A-tailing reactions thus reducing the proportion of sequencing data that may be filtered out as potentially containing artifactual data. Accordingly, in some embodiments, the A- tailing is performed using a DNA polymerase that cannot extend from a nick in the DNA such as HemoKlen Taq. In other embodiments, the A-tailing is performed using Taq DNA polymerase. In other embodiments, the A-tailing is performed using Tfl polymerase, Bst DNA Polymerase, Large Fragment or Tth polymerase.[000213] Figure 2 shows a schematic of the potential impact of separate end repair and A tailing steps on intact double-stranded DNA, nicked double-stranded DNA and gapped double-stranded DNA. In order to reduce the level of synthesized regions, the end repair reaction can be performed using DNA polymerases can be used which lack 5 ’to 3’ exonuclease activity and / or strand displacement activity (e.g. T4 DNA polymerase or Klenow fragment). This approach means that nick translation is reduced such that a larger portion of the sequencing data can be used in the disclosed methods for methylation analysis, because less sequencing data will derive from synthesized regions.[000214] In all types of DNA molecule shown in Figure 2, end repair can lead to 3 ’fill in with unmethylated cytosines, which may not reflect the true methylation status of that position in the DNA molecule prior to the generation of the 5’overhang. Inferring the methylation status from this end repaired DNA molecule may lead to incorrect data at this position. In nicked DNA and gapped DNA, nick translation is reduced in end repair through the use of polymerases which lack 5’to 3’ exonuclease activity and / or strand displacement activity. The separation of the end repair and A tailing reaction by a reaction clean-up means that only dATP (not dCTP, dTTP or dGTP) is present in the A tailing reaction. This means that efficient nick translation cannot occur in the A tailing reaction because the three of the four nucleotide components are not present in the reaction mixture. In gapped DNA, the gaps can be filled in with DNA polymerases used in the end repair reaction, regardless of whether they possess 5’ to 3’ exonuclease activity or strand displacement activity. These filled gaps thereby generate synthesized regions. As before, using these synthesized regions to infer the methylation status of the original DNA molecules may lead to incorrect results. The extent of synthesized regions in such a workflow, however, is greatly reduced relative to workflows wherein the end repair and A-tailing reactions are performed in a single reaction, as shown in Figure 1.[000215] As such, in particular embodiments, the methods disclosed herein the end repair is performed with a polymerase which lacks 5’to 3’ exonuclease activity and / or strand displacement activity. In some cases, the polymerase used in the end repair reaction may be Q5® High-Fidelity DNA Polymerase, Q5U® Hot Start High-Fidelity DNA Polymerase, Phusion® High-Fidelity DNA Polymerase, Hemo Klen / / / < / , phi29 DNA Polymerase, T7 DNA Polymerase, DNA Polymerase I (E. coli), DNA Polymerase I, Large (Klenow) Fragment (“Klenow fragment”) or T4 DNA Polymerase. In some embodiments, the polymerase used in the end repair is T4 DNA Polymerase or Klenow fragment.[000216] In some embodiments, the methods disclosed herein comprise an A tailing reaction after the end repair and before the ligation reaction, wherein the end repair and A tailing reactions are separated by a reaction cleanup. The A tailing reaction is typically performed in the presence of dATP, but in the absence of dCTP, dTTP and dGTP. In some embodiments, the A tailing reaction is performed using Klenow Fragment lacking 3'-5' exonuclease activity.[000217] Figure 3 shows a schematic of the potential impact of end repair and blunt end ligation on intact double-stranded DNA, nicked double-stranded DNA and gapped double-stranded DNA. In order to reduce the level of synthesized regions, the end repair reaction can be performed using DNA polymerases can be used which lack 5 ’to 3’ exonuclease activity and / or strand displacement activity (e.g. T4 DNA polymerase or Klenow fragment). This approach means that nick translation is reduced such that a larger portion of the sequencing data can be used in the disclosed methods for methylation analysis, because less sequencing data will derive from synthesized regions.[000218] In all types of DNA molecule shown in Figure 3, end repair can lead to 3 ’fill in with unmethylated cytosines, which may not reflect the true methylation status of that position in the DNA molecule prior to the generation of the 5 ’overhang. Inferring the methylation status from this end repaired DNA molecule may lead to incorrect data at this position. In nicked DNA and gapped DNA, nick translation is reduced in end repair through the use of polymerases which lack 5’to 3’ exonuclease activity and / or strand displacement activity. In gapped DNA, the gaps can be filled in with DNA polymerases used in the end repair reaction, regardless of whether they possess 5’ to 3’ exonuclease activity or strand displacement activity. These filled gaps thereby generate synthesized regions. As before, using these synthesized regions to infer the methylation status of the original DNA molecules may lead to incorrect results. The extent of synthesized regions in such a workflow, however, is greatly reduced relative to workflows wherein end repair and A-tailing reactions are performed in a single reaction, as shown in Figure 1 .[000219] Figure 4 is a repeat of the schematic shown in Figure 1, but with the use of a dNTP comprising a modified base in the combined end repair and A-tailing reaction, which, in this example is methylated cytosine (5mC). It shows that the methylated cytosines are incorporated in the synthesized regions at both CpG sites and CpH sites (i.e. CpA, CpC and CpT sites). While methylation of cytosines in non-CpG contexts has been described, it is thought to comprise 0.02% of total methyl-cytosine in differentiated somatic cells (Jang et al. Genes (Basel). 2017 Jun; 8(6): 148). The presence of methylated cytosine in non-CpG contexts in the end-repairedDNA can therefore be interpreted as being introduced during the end repair and / or A-tailing reactions. Using a dNTP comprising a modified base can therefore be used to effectively label the synthesized regions of the end repaired DNA.[000220] Figure 5 is a repeat of the schematic shown in Figure 2, but with the use of a dNTP comprising a modified base in the end repair, which, in this example is methylated cytosine (5mC). As with Figure 4, it shows that the methylated cytosines are incorporated in the synthesized regions at both CpG sites and CpH sites (i.e. CpA, CpC and CpT sites). Using a dNTP comprising a modified base can therefore be used to effectively label the synthesized regions of the end repaired DNA.[000221] Figure 6 is a repeat of the schematic shown in Figure 3, but with the use of a dNTP comprising a modified base in the end repair, which, in this example is methylated cytosine (5mC). As with Figure 4, it shows that the methylated cytosines are incorporated in the synthesized regions at both CpG sites and CpH sites (i.e. CpA, CpC and CpT sites). Using a dNTP comprising a modified base can therefore be used to effectively label the synthesized regions of the end repaired DNA.[000222] The dNTP that comprises a modified base may comprise any modified base wherein the presence or the absence of the modification can be detected by a type of modification sensitive sequencing. The modified base may be 4-methylcytosine (4mC), 5-methylcytosine (5mC), 5-hydroxymethyl-cytosine (5hmC), N6-methyladenosine (6mA), bromodeoxyuridine (BrdU), 5-fluorodeoxyuridine (FldU), 5-iododeoxyuridine (IdU), 5-ethynyldeoxyuridine (EdU) and / or 8-oxoguanine (8oxoG).[000223] When a dNTP comprising a modified base is used, it may be used in place of the equivalent unmodified base in the end repair reaction. For instance, if a dCTP comprising 5mC is used in the end repair reaction, there may be no dCTP comprising an unmodified cytosine. This would ensure that dCTPs incorporated into the DNA molecule during the end repair reaction contain 5mC. In some embodiments, multiple types of dNTP comprising a modified base are used in the end repair. For example, dATP comprising 6mA and dCTP comprising 5mC can be used in the end repair reaction in place of dATP comprising unmodified adenine and dCTP comprising unmodified cytosine. The use of multiple types of dNTP comprising a modified base is advantageous because it provides increased resolution in defining the regions of the end- repaired DNA molecule which have been synthesized during the end repair reaction. This is because, in this example, the end of a synthesized region can be defined as the first unmodifiedadenine or unmodified cytosine after a stretch of containing 6mAs and / or 5mCs, rather than relying on the detection of solely an unmodified adenine or solely an unmodified cytosine. [000224] The modification sensitive sequencing method used will depend on the type of modified base used in the end-repair reaction such that the specific modification can be detected. Exemplary conversion-based methods are described above alongside the base modification which they can detect. Moreover, nanopore-based sequencing can be used to detect 4mC, 5mC, 5hmC, 6mA, BrdU, FdU, IdU, and EdU. and single-molecule real time (SMRT) sequencing from Pacific Biosciences can be used to detect 4mC, 5mC, 5hmC, 6mA, and 8oxoG.D. Ligation to Adapters[000225] Once the DNA has been end-repaired it can subjected to blunt-end ligation with blunt - ended adapters, in cases where A-tailing is not performed, or sticky end ligation with T-tailed adapters, when A tailing is performed. DNA molecules can be ligated to adapters at either one end or both ends. DNA molecules can be ligated with at least partially double stranded adapter (e g., a Y shaped or bell-shaped adapter). In embodiments wherein the modification-sensitive sequencing comprises a conversion procedure, the ligation step can take place before or after the conversion step. In some embodiments, the ligation step is performed after the conversion step. In some embodiments, adapters are ligated to end-repaired DNA molecules or the adapters are ligated to the plurality of DNA molecules. In some such embodiments, the ligation reaction also seals nicks present in the end-repaired DNA.[000226] DNA ligase and adapters are added to ligate DNA molecules in the sample with an adapter on one or both ends, i.e. to form adapted DNA. As used herein, “adapter” refers to short nucleic acids (e.g., less than about 500, less than about 100 or less than about 50 nucleotides in length, or be 20-30, 20-40, 30-50, 30-60, 40-60, 40-70, 50-60, 50-70, 20-500, or 30-100 bases from end to end) that are typically at least partially double-stranded and can be ligated to the end of a given sample DNA molecule. In some instances, two adapters can be ligated to a single sample DNA molecule, with one adapter ligated to each end of the sample nucleic acid molecule. [000227] In some embodiments, the ligase used in ligation reactions can act on both single strand DNA nicks and double stranded DNA ends. In some cases, the ligase is T4 DNA ligase or T3 DNA ligase. Adapters can include nucleic acid primer binding sites to permit amplification of a sample DNA molecule flanked by adapters at both ends, and / or a sequencing primer binding site, including primer binding sites for sequencing applications, such as various next generation sequencing (NGS) applications. Adapters can include a sequence for hybridizing to a solidsupport, e.g., a flow cell sequence. Adapters can also include binding sites for capture probes, such as an oligonucleotide attached to a flow cell support or the like. Adapters can also include sample indexes and / or molecular barcodes. These are typically positioned relative to amplification primer and sequencing primer binding sites, such that the sample index and / or molecular barcode is included in amplicons and sequencing reads of a given DNA molecule. Adapters of the same or different sequence can be linked to the respective ends of a sample DNA molecule. In some cases, adapters of the same or different sequence are linked to the respective ends of the DNA molecule except that the sample index and / or molecular barcode differs in its sequence. In some embodiments, the adapter is a Y-shaped adapter in which one end is blunt ended or tailed as described herein, for joining to a nucleic acid molecule, which is also blunt ended or tailed with one or more complementary nucleotides to those in the tail of the adapter. In another exemplary embodiment, an adapter is a bell-shaped adapter that includes a blunt or tailed end for joining to a DNA molecule to be analyzed. Other exemplary adapters include T-tailed, C- tailed or hairpin shaped adapters. For example, a hairpin shaped adaptor can comprise a complementary double stranded portion and a loop portion, where the double stranded portion can be attached (e.g. ligated) to a double-stranded polynucleotide. Hairpin shaped sequencing adaptors can be attached to both ends of a polynucleotide fragment to generate a circular molecule, which can be sequenced multiple times. The adapters used in the methods of the present disclosure comprise one or more known modified nucleosides, such as methylated nucleosides. In instances where two adapters are ligated to a sample nucleic acid (one at each end), either or both of the adapters may comprise one or more known modified nucleosides. Typically, the primer binding site(s), sequencing primer binding site(s), sample index(es) and / or molecular barcode(s), if present, do not comprise the known modified nucleosides that change base pairing specificity as a result of the conversion procedure.[000228] In some embodiments, adapters may be added to the DNA or a subsample thereof. Adapters can be ligated to DNA at any point in the methods herein. In some embodiments, adapters are ligated to the DNA of a sample or subsample thereof prior to annealing primers to the DNA for capture probe generation. In some such embodiments, the adapter-ligated DNA is amplified prior to annealing primers to the DNA for capture probe generation. In some embodiments, adapters are ligated to the DNA of a sample or subsample thereof before the DNA is contacted with the capture probes. In some embodiments, the DNA to which the adapters are ligated is in the same sample or subsample as the DNA used as a template to generate captureprobes. In some embodiments, the DNA to which the adapters are ligated is in a different sample or subsample, e.g., a second sample or a second subsample of a first sample, than the DNA used as a template to generate capture probes. In some embodiments, the adapters ligated to DNA captured by the capture probes.[000229] In some embodiments, the primers used to generate capture probes are not complementary to adapters, and the resulting capture probes therefore do not comprise adapters. Adapter-ligated DNA can therefore be selectively amplified in the presence of capture probes that do not comprise adapters. Similarly, adapter-ligated DNA can be separated from DNA that does not comprise adapters.[000230] In some embodiments, the disclosed methods comprise analyzing DNA in a sample. In such methods, adapters may be added to the DNA. This may be done concurrently with an amplification procedure, e.g., by providing the adapters in a 5’ portion of a primer (where PCR is used, this can be referred to as library prep-PCR or LP-PCR), before, or after an amplification step. In some embodiments, adapters are added by other approaches, such as ligation. In some such methods, first adapters are added to the 3’ ends of the nucleic acids by ligation, which may include ligation to single- stranded DNA. In some embodiments, prior to any partitioning or capturing steps, first adapters are added to the nucleic acids by ligation, which may include ligation to single-stranded DNA (e.g., to the 3’ ends thereof). In some embodiments, the capture probes can be isolated after partitioning and ligation. For example, the hypomethylated partition can be ligated with adapters and a portion of the ligated hypomethylated partition can then be used to generate the capture probes for rearrangements. The adapter can be used as a priming site for second-strand synthesis, e.g., using a universal primer and a DNA polymerase. A second adapter can then be ligated to at least the 3’ end of the second strand of the now double-stranded molecule. In some embodiments, the first adapter comprises an affinity tag, such as biotin, and nucleic acid ligated to the first adapter is bound to a solid support (e.g., bead), which may comprise a binding partner for the affinity tag such as streptavidin. For further discussion of a related procedure, see Gansauge et al., Nature Protocols 8:737-748 (2013). Commercial kits for sequencing library preparation compatible with single- stranded nucleic acids are available, e.g., the Accel-NGS® Methyl-Seq DNA Library Kit from Swift Biosciences. In some embodiments, after adapter ligation, nucleic acids are amplified.[000231] In some embodiments, the single- stranded DNA library preparation is performed in a one-step combined phosphorylation / ligation reaction, e.g., as described in Troll et al., BMCGenomics, 20: 1023 (2019), available at https: / / doi.org / 10.1186 / sl2864-019-6355-0. This method, called Single Reaction Single-stranded LibrarY (“SRSLY,”) can be performed without end-polishing. SRSLY may be useful for converting short and fragmented DNA molecules, e.g., cfDNA fragments, into sequencing libraries while retaining native lengths and ends. The SRSLY method can create sequencing libraries (e.g., Illumina sequencing libraries) from fragmented or degraded template (input) DNA. In particular embodiments, template DNA is first heat denatured and then immediately cold shocked to render the template DNA molecules singlestranded. The DNA can be maintained as single-stranded throughout the ligation reaction by the inclusion of a thermostable single- stranded binding protein (SSB). Next, the template DNA, which at this point can be single-stranded and coated with SSB, is placed in a phosphorylation / ligation dual reaction with directional dsDNA NGS adapters that contain singlestranded overhangs. Both the forward and reverse sequencing adapters can share similar structures but differ in which termini is unblocked in order to facilitate proper ligations. Both sequencing adapters can comprise a dsDNA portion and a single-stranded splint overhang of random nucleotides that occurs on the 3 -prime terminus of the bottom strand of the forward adapter and the 5-prime terminus of the bottom strand of the reverse adapter. In this way, the forward adapter (e.g., (P5) Illumina adapter) can delivered to the 5-prime end of template molecules and the reverse adapter (e.g., (P7) Illumina adapter) is delivered to the 3-prime end of template molecules. Thus, the native polarity of input DNA molecules can be retained.During the dual phosphorylation / ligation reaction, T4 Polynucleotide Kinase (PNK) can be used to prepare template DNA termini for ligation by phosphorylating 5-prime termini and dephosphorylating 3-prime termini. T4 PNK works on both ssDNA and dsDNA molecules and has no activity on the phosphorylation state of proteins. Simultaneously, the random nucleotides of the splint adapter can be annealed to the single-stranded template molecule. This creates a short, localized dsDNA molecule, enabling ligation of template to adapter with a ligase such as T4 DNA ligase, which has high ligation efficiency on dsDNA templates but low efficiency on ssDNA. After the single phosphorylation / ligation reaction is complete, the library DNA can be, e.g., purified and placed directly into standard NGS indexing PCR, compatible with both traditional single or dual index primers.[000232] In some embodiments, the adapters include different tags of sufficient numbers that the number of combinations of tags results in a low probability e.g., 95, 99 or 99.9% of two nucleic acids with the same start and stop points receiving the same combination of tags. Adapters,whether bearing the same or different tags, can include the same or different primer binding sites, but preferably adapters include the same primer binding site.[000233] In some embodiments, following attachment of adapters, the nucleic acids are subject to amplification. The amplification can use, e.g., universal primers that recognize primer binding sites in the adapters.[000234] In some embodiments, following attachment of adapters, the DNA or a subsample or portion of the DNA is partitioned, comprising contacting the DNA with an agent that preferentially binds to nucleic acids bearing an epigenetic modification. The nucleic acids are partitioned into at least two partitioned subsamples differing in the extent to which the nucleic acids bear the modification from binding to the agents. For example, if the agent has affinity for nucleic acids bearing the modification, nucleic acids overrepresented in the modification (compared with median representation in the population) preferentially bind to the agent, whereas nucleic acids underrepresented for the modification do not bind or are more easily eluted from the agent. The nucleic acids can then be amplified from primers binding to the primer binding sites within the adapters. Partitioning may be performed instead before adapter attachment, in which case the adapters may comprise differential tags that include a component that identifies which partition a molecule occurred in.[000235] In some embodiments, the nucleic acids are linked at both ends to Y-shaped adapters including primer binding sites and tags. The molecules are amplified.E. Molecular Tagging[000236] In some embodiments, the DNA molecules of the sample may be tagged with sample indexes and / or molecular barcodes (referred to generally as “tags”).[000237] Tags can be molecules, such as nucleic acids, containing information that indicates a feature of the molecule with which the tag is associated. For example, DNA molecules can bear a sample tag or sample index (which distinguishes molecules in one sample from those in a different sample), a partition tag (which distinguishes molecules in one partition from those in a different partition) and / or a molecular tag / molecular barcode (which distinguishes different molecules from one another (in both unique and non-unique tagging scenarios)).[000238] Tagging strategies can be divided into unique tagging and non-unique tagging strategies. In unique tagging, all or substantially all of the molecules in a sample bear a different tag, so that reads can be assigned to original molecules based on tag information alone. Tags used in such methods are sometimes referred to as “unique tags”. In non-unique tagging,different molecules in the same sample can bear the same tag, so that other information in addition to tag information is used to assign a sequence read to an original molecule. Such information may include start and stop coordinate, coordinate to which the molecule maps, start or stop coordinate alone, etc. Tags used in such methods are sometimes referred to as “nonunique tags”. Accordingly, it is not necessary to uniquely tag every molecule in a sample. It suffices to uniquely tag molecules falling within an identifiable class within a sample. Thus, molecules in different identifiable families can bear the same tag without loss of information about the identity of the tagged molecule.[000239] In certain embodiments, a tag can comprise one or a combination of barcodes. As used herein, the term “barcode” refers to a nucleic acid molecule having a particular nucleotide sequence, or to the nucleotide sequence, itself, depending on context. A barcode can have, for example, between 10 and 100 nucleotides. A collection of barcodes can have degenerate sequences or can have sequences having a certain Hamming distance, as desired for the specific purpose. So, for example, a molecular barcode can be comprised of one barcode or a combination of two barcodes, each attached to different ends of a molecule. Additionally or alternatively, for different partitions and / or samples, different sets of molecular barcodes, molecular tags, or molecular indexes can be used such that the barcodes serve as a molecular tag through their individual sequences and also serve to identify the partition and / or sample to which they correspond based the set of which they are a member.[000240] Tags can be used to label the individual polynucleotide population partitions so as to correlate the tag (or tags) with a specific partition. Alternatively, tags can be used in embodiments of the disclosure that do not employ a partitioning step. In some embodiments, a single tag can be used to label a specific partition. In some embodiments, multiple different tags can be used to label a specific partition. In embodiments employing multiple different tags to label a specific partition, the set of tags used to label one partition can be readily differentiated for the set of tags used to label other partitions. In some embodiments, the tags may have additional functions, for example the tags can be used to index sample sources or used as unique molecular identifiers (which can be used to improve the quality of sequencing data by differentiating sequencing errors from mutations, for example as in Kinde et al., Proc Nat’l Acad Sci USA 108: 9530-9535 (2011), Kou et al., PLoS ONE,\\ : eO 146638 (2016)) or used as nonunique molecule identifiers, for example as described in US Pat. No. 9,598,731. Similarly, in some embodiments, the tags may have additional functions, for example the tags can be used toindex sample sources or used as non-unique molecular identifiers (which can be used to improve the quality of sequencing data by differentiating sequencing errors from mutations).[000241] Tags may be incorporated into or otherwise joined to adapters by chemical synthesis, ligation (e.g., as described above, e.g. by blunt-end ligation or sticky-end ligation), or overlap extension polymerase chain reaction (PCR), among other methods. Such adapters are ultimately joined to the sample DNA molecule. In other embodiments, one or more rounds of amplification cycles (e.g., PCR amplification) may be applied to introduce sample indexes to a nucleic acid molecule using conventional nucleic acid amplification methods. The amplifications may be conducted in one or more reaction mixtures (e.g., a plurality of microwells in an array). Molecular barcodes and / or sample indexes may be introduced simultaneously, or in any sequential order. In some embodiments, molecular barcodes and / or sample indexes are introduced prior to and / or after any conversion procedure. In the case of molecular barcodes and / or sample indexes being introduced through amplification processes, the conversion step will occur before the molecular barcodes and / or sample indexes are introduced. In some embodiments, molecular barcodes and / or sample indexes are introduced prior to and / or after sequence capturing steps, if present, are performed. In some embodiments, only the molecular barcodes are introduced prior to probe capturing and the sample indexes are introduced after sequence capturing steps are performed. In some embodiments, both the molecular barcodes and the sample indexes are introduced prior to performing probe-based capturing steps, if present. In some embodiments, the sample indexes are introduced after sequence capturing steps are performed, if present. In some embodiments, sample indexes are incorporated through overlap extension polymerase chain reaction (PCR).[000242] In some embodiments, the tags may be located at one end or at both ends of the sample DNA molecule. In some embodiments, tags are predetermined or random or semi-random sequence oligonucleotides. In some embodiments, the tag(s) may together be less than about 500, 200, 100, 50, 20, 10, 9, 8, 7, 6, 5, 4, 3, 2, or 1 nucleotides in length. Typically tags are about 5 to 20 or 6 to 15 nucleotides in length. The tags may be linked to sample DNA molecules randomly or non-randomly.[000243] In some embodiments, each sample or partition (discussed below) is uniquely tagged with a sample index or a combination of sample indexes. In some embodiments, each nucleic acid molecule of a sample or sub-sample is uniquely tagged with a molecular barcode or a combination of molecular barcodes. In other embodiments, a plurality of molecular barcodesmay be used such that molecular barcodes are not necessarily unique to one another in the plurality (e.g., non-unique molecular barcodes). In these embodiments, molecular barcodes are generally attached (e.g., by ligation as part of an adapter) to individual molecules such that the combination of the molecular barcode and the sequence it may be attached to creates a unique sequence that may be individually tracked. Detection of non-unique molecular barcodes in combination with endogenous sequence information (e g., the beginning (start) and / or end (stop) genomic location / position corresponding to the sequence of the original DNA molecule in the sample, start and stop genomic positions corresponding to the sequence of the original DNA molecule in the sample, the beginning (start) and / or end (stop) genomic location / position of the sequence read that is mapped to the reference sequence, start and stop genomic positions of the sequence read that is mapped to the reference sequence, sub -sequences of sequence reads at one or both ends, length of sequence reads, and / or length of the original DNA molecule in the sample) typically allows for the assignment of a unique identity to a particular molecule. In some embodiments, beginning region comprises the first 1, first 2, the first 5, the first 10, the first 15, the first 20, the first 25, the first 30 or at least the first 30 base positions at the 5' end of the sequencing read that align to the reference sequence. In some embodiments, the end region comprises the last 1, last 2, the last 5, the last 10, the last 15, the last 20, the last 25, the last 30 or at least the last 30 base positions at the 3' end of the sequencing read that align to the reference sequence. The length, or number of base pairs, of an individual sequence read are also optionally used to assign a unique identity to a given molecule. As described herein, fragments from a single strand of nucleic acid having been assigned a unique identity, may thereby permit subsequent identification of fragments from the parent strand, and / or a complementary strand. [000244] In certain embodiments of non-unique tagging, the number of different tags used can be sufficient that there is a very high likelihood (e.g., at least 99%, at least 99.9%, at least 99.99% or at least 99.999% that all DNA molecules of a particular group bear a different tag. It is to be noted that when barcodes are used as tags, and when barcodes are attached, e.g., randomly, to both ends of a molecule, the combination of barcodes, together, can constitute a tag. This number, in term, is a function of the number of molecules falling into the calls. For example, the class may be all molecules mapping to the same start-stop position on a reference genome. The class may be all molecules mapping across a particular genetic locus, e.g., a particular base or a particular region (e.g., up to 100 bases or a gene or an exon of a gene).[000245] In certain embodiments, the number of different tags used to uniquely identify a number of molecules, z, in a class can be between any of 2*z, 3*z, 4*z, 5*z, 6*z, 7*z, 8*z, 9*z, 10*z, 11 *z, 12*z, 13*z, 14*z, 15*z, 16*z, 17*z, 18*z, 19*z, 20*z or 100*z (e.g., lower limit) and any of 100,000*z, 10,000*z, 1000*z or 100*z (e.g., upper limit). In some embodiments, molecular barcodes are introduced at an expected ratio of a set of identifiers (e.g., a combination of unique or non-unique molecular barcodes) to molecules in a sample. One example format uses from about 2 to about 1,000,000 different molecular barcode sequences, or from about 5 to about 150 different molecular barcode sequences, or from about 20 to about 50 different molecular barcode sequences, ligated to both ends of a target molecule. Alternatively, from about 25 to about 1,000,000 different molecular barcode sequences may be used. For example, 20-50 x 20- 50 molecular barcode sequences (i.e., one of the 20-50 different molecular barcode sequences can be attached to each end of the target molecule) can be used. Such numbers of identifiers are typically sufficient for different molecules having the same start and stop points to have a high probability (e.g., at least 94%, 99.5%, 99.99%, or 99.999%) of receiving different combinations of identifiers. In some embodiments, about 80%, about 90%, about 95%, or about 99% of molecules have the same combinations of molecular barcodes. For example, in a sample of about 5 ng to 30 ng of cell free DNA, one expects around 3000 molecules to map to a particular nucleotide coordinate, and between about 3 and 10 molecules having any start coordinate to share the same stop coordinate. Accordingly, about 50 to about 50,000 different tags (e.g., between about 6 and 220 barcode combinations) can suffice to uniquely tag all such molecules. To uniquely tag all 3000 molecules mapping across a nucleotide coordinate, about 1 million to about 20 million different tags would be required.[000246] In some embodiments, the assignment of unique or non-unique molecular barcodes in reactions is performed using methods and systems described in, for example, U.S. Patent Application Nos. 20010053519, 20030152490, and 20110160078, and U.S. Patent Nos. 6,582,908, 7,537,898, 9,598,731, and 9,902,992, each of which is hereby incorporated by reference in its entirety. Alternatively, in some embodiments, different nucleic acid molecules of a sample may be identified using only endogenous sequence information (e.g., start and / or stop positions, sub-sequences of one or both ends of a sequence, and / or lengths). Tags can be linked to sample nucleic acids randomly or non-randomly.[000247] In some embodiments, the tagged nucleic acids are sequenced after loading into a microwell plate. The microwell plate can have 96, 384, or 1536 microwells. In some cases, theyare introduced at an expected ratio of unique tags to microwells. For example, the unique tags may be loaded so that more than about 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, 100, 500, 1000, 5000, 10000, 50,000, 100,000, 500,000, 1,000,000, 10,000,000, 50,000,000 or 1,000,000,000 unique tags are loaded per genome sample. In some cases, the unique tags may be loaded so that less than about 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, 100, 500, 1000, 5000, 10000, 50,000, 100,000, 500,000, 1,000,000, 10,000,000, 50,000,000 or 1,000,000,000 unique tags are loaded per genome sample. In some cases, the average number of unique tags loaded per sample genome is less than, or greater than, about 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, 100, 500, 1000, 5000, 10000, 50,000, 100,000, 500,000, 1,000,000, 10,000,000, 50,000,000 or 1,000,000,000 unique tags per genome sample.[000248] In some embodiments a format uses 20-50 different tags (e.g., barcodes) ligated to both ends of target nucleic acids. For example, 35 different tags (e.g., barcodes) ligated to both ends of target molecules creating 35 x 35 permutations, which equals 1225 for 35 tags. Such numbers of tags are sufficient so that different molecules having the same start and stop points have a high probability (e.g., at least 94%, 99.5%, 99.99%, 99.999%) of receiving different combinations of tags. Other barcode combinations include any number between 10 and 500, e.g., about 15x15, about 35x35, about 75x75, about 100x100, about 250x250, about 500x500.[000249] In some cases, unique tags may be predetermined or random or semi-random sequence oligonucleotides. In other cases, a plurality of barcodes may be used such that barcodes are not necessarily unique to one another in the plurality. In this example, barcodes may be ligated to individual molecules such that the combination of the barcode and the sequence it may be ligated to creates a unique sequence that may be individually tracked. As described herein, detection of non-unique barcodes in combination with sequence data of beginning (start) and end (stop) portions of sequence reads may allow assignment of a unique identity to a particular molecule. The length or number of base pairs, of an individual sequence read may also be used to assign a unique identity to such a molecule. As described herein, fragments from a single strand of nucleic acid having been assigned a unique identity, may thereby permit subsequent identification of fragments from the parent strand.[000250] In some embodiments, the method includes adding one or more internal control DNAs and forward and reverse primers for amplifying the internal control DNAs. The internal control DNAs may be added before amplification using the primers that anneal upstream and downstream of the rearrangement breakpoints. The forward and reverse primers for amplifyingthe internal control DNAs may be included with, or added at the same time as, the primers that anneal upstream and downstream of the rearrangement breakpoints. The internal control DNAs may comprise or consist of sequences that do not occur in the genome of the subject, or that do not occur in the genome of the species of which the subject is a member (e.g., the human genome). The forward and / or reverse primers for amplifying the internal control DNAs may comprise sequences that are not complementary to any sequence in the genome of the subject, e.g., the human genome. The internal control DNAs may be used to ensure that the amplification process proceeded as designed. As such, the method may comprise detecting (e.g., sequencing) molecules amplified from and / or captured by the one or more internal control DNAs. The method can comprise comparing an amount of internal control DNAs (e.g., number of molecules or reads detected that correspond to an internal control DNA sequence) to a predetermined threshold, and either rejecting sequencing results if the predetermined threshold is not met or accepting sequencing results if the predetermined threshold is met. The predetermined threshold may be established, e g., based on historical data or by testing the method on samples of DNA from test subjects, such as healthy volunteers. For example, amplification and detection of the one or more internal control DNAs provides confirmation that the amplification process proceeded properly, thus reducing the likelihood of a false negative.F. Modification sensitive sequencing[000251] The methods disclosed herein use modification sensitive sequencing to detect the modification status of the at least one type of dNTP comprising a modified base (such as mCTP) used in the end repair reaction. In some embodiments, a DNA sample comprising a plurality of DNA molecules is subjected to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations.Such embodiments may also comprise a step of end-repair prior to the modification-sensitive sequencing.[000252] In some embodiments, in modification-sensitive sequencing procedures which comprise a conversion step, the DNA (such as adapted DNA) may be amplified after the conversion step. Thus, in some embodiments, a modification-sensitive sequencing procedure comprises an amplification step. In other embodiments, a modification-sensitive sequencing procedure comprises library preparation steps. In some embodiments, a modification-sensitive sequencing procedure comprises a library preparation step and an amplification step.[000253] In some embodiments, the modification-sensitive sequencing comprises (i) subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules. In some embodiments, the modification-sensitive sequencing comprises (i) subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) preparing a DNA library comprising the converted DNA molecules. In some embodiments, the modification-sensitive sequencing comprises (i) subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or oneor more inappropriately unconverted bases at one or more locations; (ii) preparing a DNA library comprising the converted DNA molecules, and (iii) amplifying the DNA library comprising the converted DNA molecules.[000254] “Modification sensitive sequencing” refers to any sequencing workflow which is capable of distinguishing at least two modification states of a nucleotide bases. These two states may be: (i) whether a base is modified or not (e g. 5mC and / or 5hmC vs unmethylated cytosine); or (ii) the type of modification which a base exhibits (e.g. 5mC vs 5hmC). Modification sensitive sequencing does not necessarily require that a specific type of modification is identified as present or absent at a specific position, just whether one or more modification types (e.g. 5mC and 5hmC) is present or absent. For instance, in some embodiments, modification sensitive sequencing includes sequencing comprising a bisulfite conversion step which can distinguish 5mC and 5hmC from unmethylated C, but it cannot distinguish between 5mC and 5hmC. In some embodiments, the modification-sensitive sequencing comprises subjecting a DNA sample (such as a DNA sample from a subject) to a procedure that affects a first nucleobase of the DNA differently from a second nucleobase of the DNA, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity.[000255] The type of modification sensitive sequencing used will depend on the type of modified base(s) used in the end repair, such that the type of modification sensitive sequencing will be able to detect at least the presence or absence of at least that modified base. Table 1 summarizes exemplary forms of modification sensitive sequencing with the type of modified bases detectable with these methods. These are described in more detail below.Table 1 - Exemplary modification sensitive sequencing methods[000256] As outlined below, there are various methods of detecting and / or identifying modified nucleosides that rely on a conversion procedure that changes the base-pairing specificity of a nucleoside, based on the modification status of the nucleosides. These changes of base-pairing specificity can then be detected, and thus the modification status of the nucleoside inferred, by sequencing. Together, the conversion procedure and the sequencing itself constitutes one form of modification aware sequencing, as referred to herein.[000257] In some cases, the conversion procedure used in the methods of the disclosure is one that changes the base pairing specificity of a modified nucleoside (e.g. methylated cytosine), but does not change the base pairing specificity of the corresponding unmodified nucleoside (e.g. cytosine) or does not change the base pairing specificity of any un-modified nucleoside (e.g. cytosine, adenosine, guanosine and thymidine (or uracil)). Advantages of methods that do not convert the base-pairing specificity of unmodified nucleosides include reduced loss of sequence complexity, higher sequencing efficiency and reduced alignment losses. Additionally, methods such as TAPS may in some cases be preferred over methods such as bisulfite sequencing and EM-seq because they are less destructive (especially important for low yield samples such as cfDNA or FFPE samples) and do not require denaturation, meaning that non-conversion errors are theoretically more likely to be random. In methods that require denaturation for conversion, failure to denature a DNA molecule will result in non-conversion of all bases in the DNA molecule. As biological changes in methylation are predominantly concerted to a localized regions of interest, these non-random (localized) non-conversion events can appear as false negatives (non-methylated regions). Random non-conversion methods can maximally affect a low percent of bases within a region, and thus the specificity of methylation change detection canbe maximized (reduce false positives) by placing a threshold on percentage of bases within a region that are methylated / non-methylated. Hence, in some cases, a conversion procedure that does not involve denaturation is preferred.[000258] In other cases, the conversion procedure used in the methods of the disclosure is one that changes the base pairing specificity of an unmodified nucleoside (e.g. cytosine), but does not change the base pairing specificity of the corresponding modified nucleoside (e g. methylated cytosine such as 5hmC and / or 5mC). Such methods include, for example, bisulfite sequencing. [000259] The skilled person can select a suitable method according to their needs, including which nucleoside modifications are to be detected and / or identified and which type of modified base is used in the end repair reaction.[000260] In some embodiments, the conversion procedure converts modified nucleosides. In some embodiments, the conversion procedure which converts modified nucleosides comprises Tet-assisted conversion with a substituted borane reducing agent, optionally wherein the substituted borane reducing agent is 2-picoline borane, borane pyridine, tert-butylamine borane, ammonia borane or pyridine borane. In Tet-assisted pic-borane conversion with a substituted borane reducing agent conversion, a TET protein is used to convert 5mC and 5hmC to 5caC, without affecting unmodified C. 5caC, and 5fC if present, are then converted to dihydrouracil (DHU) by treatment with 2-picoline borane (pic-borane) or another substituted borane reducing agent such as borane pyridine, tert-butylamine borane, or ammonia borane, also without affecting unmodified C. See, e.g., Liu et al., Nature Biotechnology 2019; 37:424-429 (e.g., at Supplementary Fig. 1 and Supplementary Note 7). Thus, when this type of conversion is used, the first nucleobase comprises one or more of 5mC, 5fC, 5caC, or 5hmC, and the second nucleobase comprises unmodified cytosine. DHU is read as a T in sequencing. Sequencing of the converted DNA identifies positions that are read as cytosine as being unmodified C positions. Meanwhile, positions that are read as T are identified as being T, 5mC, 5fC, 5caC, or 5hmC. Performing TAP conversion, such as on a DNA sample as described herein, thus facilitates identifying positions containing unmodified C using the sequence reads obtained.[000261] Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein the at least one type of dNTP comprises a 5mC or 5hmC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5mC or 5hmC (via T being called at positions which are C in the reference) at non-CpG positions. This procedure encompasses Tet-assisted pyridine borane sequencing (TAPS), described in further detail in Liuet al. 2019, supra. In this method Tet enzyme is used to progressively oxidize 5mC and 5hmC to 5fC or 5caC, then pyridine borane deaminates 5fC, 5CaC to DHU, amplified as T.[000262] Alternatively, protection of 5hmC (e.g., using GT or 5-hydroxymethylcytosine carbamoyltransferase) can be combined with Tet-assisted conversion with a substituted borane reducing agent, e.g. as described above. In this method (TAPS-P), 5hmC can be protected from conversion, for example through glucosylation using P-glucosyl transferase ( GT), forming (forming 5-glucosylhydroxymethylcytosine) 5ghmC, or through carbamoylation using 5- hydroxymethylcytosine carbamoyltransferase, forming 5cmC. This is described in Yu et al., Cell 2012; 149: 1368-80. Treatment with a TET protein such as mTetl then converts 5mC to 5caC but does not convert C, 5ghmC, or 5cmC. 5caC is then converted to DHU by treatment with pic- borane or another substituted borane reducing agent such as borane pyridine, tert-butylamine borane, or ammonia borane, also without affecting ghmC, 5cmC, or unmodified C. Thus, when Tet-assisted conversion with a substituted borane reducing agent is used, the first nucleobase comprises mC, and the second nucleobase comprises one or more of unmodified cytosine or hmC, such as unmodified cytosine and optionally hmC, fC, and / or caC. Sequencing of the converted DNA identifies positions that are read as cytosine as being either 5hmC or unmodified C positions. Meanwhile, positions that are read as T are identified as being T, 5fC, 5caC, or 5mC. Performing TAPSP conversion on a sample as described herein thus facilitates distinguishing positions containing unmodified C or 5hmC on the one hand from positions containing 5mC using the sequence reads obtained. Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein the at least one type of dNTP comprises a 5mC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5mC (via T being called at positions which are C in the reference) at non-CpG positions. For an exemplary description of this type of conversion, see, e.g., Liu et al., Nature Biotechnology 2019; 37:424-429. 5-hydroxymethylcytosine carbamoyltransferase is described in Yang et al., Bio-protocol, 2023; 12(17): e4496.[000263] In some embodiments, the conversion procedure converts modified nucleosides. In some embodiments, the conversion procedure which converts modified nucleosides comprises chemical-assisted conversion with a substituted borane reducing agent, optionally wherein the substituted borane reducing agent is 2-picoline borane, borane pyridine, tert-butylamine borane, borane pyridine or ammonia borane. In chemical-assisted conversion with a substituted borane reducing agent, an oxidizing agent such as potassium perruthenate (KRuCU) (also suitable for usein ox-BS conversion) is used to specifically oxidize 5hmC to 5fC. Treatment with pic-borane or another substituted borane reducing agent such as borane pyridine, tert-butylamine borane, or ammonia borane converts 5fC and 5caC to DHU but does not affect 5mC or unmodified C. Thus, when this type of conversion is used, the first nucleobase comprises one or more of hmC, fC, and caC, and the second nucleobase comprises one or more of unmodified cytosine or mC, such as unmodified cytosine and optionally mC. Sequencing of the converted DNA identifies positions that are read as cytosine as being either 5mC or unmodified C positions. Meanwhile, positions that are read as T are identified as being T, 5fC, 5caC, or 5hmC. Performing this type of conversion as described herein thus facilitates distinguishing positions containing unmodified C or 5mC on the one hand from positions containing 5hmC using the sequence reads obtained. Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein at least one type of dNTP comprises a 5hmC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5hmC (via T being called at positions which are C in the reference) at non-CpG positions. For an exemplary description of this type of conversion, see, e.g., Liu et al., Nature Biotechnology 2019; 37:424-429.[000264] Exemplary conversion procedures that change the base-pairing specificity of modified cytosines have been described. However, the methods described herein could in principle use any modified nucleoside and suitable conversion procedure (i.e. single-base epigenetic conversion assay) that changes the base-pairing specificity of the modified nucleoside and thereby allows the modified base to be distinguished from the corresponding unmodified nucleoside and / or other types of modification when sequenced. For example, any conversion procedure could be used allowing any one of N6-methyladenine (6mA), N6- hydroxymethyladenine (6hmA), or N6-formyladenine (6fA) to be distinguished from unmodified adenosine.[000265] In some embodiments, the conversion procedure converts unmodified nucleosides. In some embodiments, the conversion procedure which converts unmodified nucleosides comprises bisulfite conversion. Treatment with bisulfite converts unmodified cytosine and certain modified cytosine nucleotides (e.g. 5-formyl cytosine (5fC) or 5-carboxylcytosine (5caC)) to uracil whereas other modified cytosines (e.g., 5mC and 5hmC) are not converted. Thus, where bisulfite conversion is used, the first nucleobase comprises one or more of unmodified cytosine, 5fC, 5caC, or other cytosine forms affected by bisulfite, and the second nucleobase may comprise one or more of 5mC and 5hmC, such as 5mC and optionally 5hmC. Sequencing of bisulfite-treatedDNA identifies positions that are read as cytosine as being 5mC or 5hmC positions. Meanwhile, positions that are read as T are identified as being T or a bisulfite-susceptible form of C, such as unmodified cytosine, 5fC, or 5caC. Thus, performing bisulfite conversion, such as on a DNA sample as described herein facilitates identifying positions containing 5mC or 5hmC. Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein at least one type of dNTP comprises a 5mC and / or a 5hmC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5mC or a 5hmC (via C being called at these positions) at non-CpG positions. For an exemplary description of bisulfite conversion, see, e.g., Moss et al., Nat Commun. 2018; 9: 5068.[000266] In some embodiments, the procedure which converts unmodified nucleosides comprises oxidative bisulfite (Ox-BS) conversion. This procedure first converts 5hmC to 5fC, which is bisulfite susceptible, followed by bisulfite conversion. Thus, when oxidative bisulfite conversion is used, the first nucleobase comprises one or more of unmodified cytosine, 5fC, 5caC, 5hmC, or other cytosine forms affected by bisulfite, and the second nucleobase comprises 5mC. Sequencing of Ox-BS converted DNA identifies positions that are read as cytosine as being 5mC positions. Meanwhile, positions that are read as T are identified as being T or a bisulfite-susceptible form of C, such as unmodified cytosine, 5fC, or 5hmC. Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein at least one type of dNTP comprises a 5mC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5mC (via C being called at these positions) at non-CpG positions. Performing Ox-BS conversion thus facilitates identifying positions containing mC. For an exemplary description of oxidative bisulfite conversion, see, e.g., Booth et al., Science 2012; 336: 934-937.[000267] In some embodiments, the procedure which converts unmodified nucleosides comprises Tet-assisted bisulfite (TAB) conversion. In TAB conversion, 5hmC is protected from conversion and 5mC is oxidized in advance of bisulfite treatment, so that positions originally occupied by 5mC are converted to U while positions originally occupied by 5hmC remain as a protected form of cytosine. For example, as described in Yu et al., Cell 2012; 149: 1368-80, p- glucosyl transferase can be used to protect 5hmC (forming 5-glucosylhydroxymethylcytosine (5ghmC)), then a TET protein such as mTetl can be used to convert 5mC to 5caC, and then bisulfite treatment can be used to convert C and 5caC to U while 5ghmC remains unaffected.[000268] Alternatively, a carbamoyltransferase enzyme, such as 5-hydroxymethylcytosine carbamoyltransferase as described in Yang et al., Bio-protocol, 2023; 12(17): e4496, can be used to protect hmC (by converting hmC to 5-carbamoyloxymethylcytosine (5cmC)), then a TET protein such as mTetl can be used to convert mC to caC, and then bisulfite treatment can be used to convert C and caC to U while 5cmC remains unaffected. Thus, when TAB conversion is used, the first nucleobase comprises one or more of unmodified cytosine, 5fC, 5caC, 5mC, or other cytosine forms affected by bisulfite, and the second nucleobase comprises 5hmC. Sequencing of TAB-converted DNA identifies positions that are read as cytosine as being 5hmC positions. Meanwhile, positions that are read as T are identified as being T, or a bisulfite-susceptible form of C, such as unmodified cytosine, 5mC, 5fC, or 5caC. Performing TAB conversion on a first subsample as described herein thus facilitates identifying positions containing 5hmC. Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein at least one type of dNTP comprises a 5hmC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5hmC (via C being called at these positions) at non-CpG positions.[000269] In some embodiments, the conversion procedure which converts unmodified nucleosides comprises APOBEC-coupled epigenetic (ACE) conversion. In ACE conversion, an AID / APOBEC family DNA deaminase enzyme such as APOBEC3A (A3 A) is used to deaminate unmodified cytosine and 5mC without deaminating 5hmC, 5fC, or 5caC. Thus, when ACE conversion is used, the first nucleobase comprises unmodified C and / or mC (e.g., unmodified C and optionally mC), and the second nucleobase comprises hmC. Sequencing of ACE-converted DNA identifies positions that are read as cytosine as being 5hmC, 5fC, or 5caC positions. Meanwhile, positions that are read as T are identified as being T, unmodified C, or 5mC. Performing ACE conversion as described herein thus facilitates distinguishing positions containing 5hmC from positions containing 5mC or unmodified C using the sequence reads obtained from the first subsample. Hence, in these embodiments, the end repair reaction can be performed with dNTPs, wherein at least one type of dNTP comprises a 5hmC, and regions synthesized during the end repair reaction can be identified as those regions comprising 5hmC (via C being called at these positions) at non-CpG positions. For an exemplary description of ACE conversion, see, e.g., Schutsky et al., Nature Biotechnology 2018; 36: 1083-1090.[000270] In some embodiments, the procedure that affects a first nucleobase in the DNA differently from a second nucleobase in the DNA of the first subsample comprises enzymaticconversion of the first nucleobase, e.g., as in EM-Seq. See, e.g., Vaisvila R, et al. (2019) EM- seq: Detection of DNA methylation at single base resolution from picograms of DNA. bioRxiv, DOI: 10.1101 / 2019.12.20.884692, available at www.biorxiv.org / content / 10.1101 / 2019.12.20.884692vl . For example, TET2 and T4-|BGT or 5-hydroxymethylcytosine carbamoyltransferase (described in Yang et al., Bio-protocol, 2023; 12(17): e4496) can be used to convert 5mC and 5hmC into substrates that cannot be deaminated by a deaminase (e.g., APOBEC3A), and then a deaminase (e.g., APOBEC3A) can be used to deaminate unmodified cytosines converting them to uracils.[000271] In some embodiments, the procedure that affects a first nucleobase in the DNA differently from a second nucleobase in the DNA comprises enzymatic conversion of the first nucleobase using a non-specific, modification-sensitive double-stranded DNA deaminase, e.g., as in SEM-seq. See, e.g., Vaisvila et al. (2023) Discovery of novel DNA cytosine deaminase activities enables a nondestructive single-enzyme methylation sequencing method for base resolution high-coverage methylome mapping of cell-free and ultra-low input DNA. bioRxiv; DOI: 10.1101 / 2023.06.29.547047, available at https: / / www.biorxiv.org / content / 10.1101 / 2023.06.29.547047vl. SEM-Seq employs a nonspecific, modification-sensitive double-stranded DNA deaminase (MsddA) in a nondestructive single-enzyme 5-methylctyosine sequencing (SEM-seq) method that deaminates unmodified cytosines. Accordingly, SEM-seq does not require the TET2 and T4-[3GT or 5- hydroxymethylcytosine carbamoyltransferase protection and denaturing steps that are of use, e.g., in APOEC3A-based protocols. Additionally, MsddA does not deaminate 5-formylated cytosines (5fC) or 5-carboxylated cytosines (5caC). In SEM-seq, unmodified cytosines in the DNA are deaminated to uracil and is read as “T” during sequencing. Modified cytosines (e.g., 5mC) are not converted and are read as “C” during sequencing. Cytosines that are read as thymines are identified as unmodified (e.g., unmethylated) cytosines or as thymines in the DNA. Performing SEM-seq conversion thus facilitates identifying positions containing 5mC using the sequence reads obtained. In some embodiments, the procedure that affects a first nucleobase in the DNA differently from a second nucleobase in the DNA comprises enzymatic conversion of the first nucleobase using MsddA.[000272] For an exemplary description of MsddA and MsddA-like deaminases, see, e.g., Vaisvila et al. Mol Cell. 2024 Mar 7;84(5):854-866.e7, which illustrates in Fig. 2A-C that MsddA-like deaminases have reduced activity on each of 5mC, 5hmC, and 5gmC relative tounmodified cytosine in dsDNA, e.g., a reduction of about 75%, 80%, or more on each of 5mC, 5hmC, and 5gmC relative to unmodified cytosine (e.g., using assay conditions as described in Vaisvila et al., such as analysis of deamination of C in E. coli or lambda dcm-DNA, deamination of 5mC in XP12 phage DNA, deamination of 5hmC in a C-hydroxymethylated adenovirus PCR fragment or fully C-hydroxymethylated T4147 phage DNA, and deamination of 5gmC in alphaglucosyltransferase knockout (AGT-) T4 phage DNA). Deamination can be performed by contacting substrate DNA with deaminase and analyzed using NGS as follows: 50 ng of unmodified E. coli C2566 genomic DNA can be combined with the control DNAs (about 1 ng of Lambda, XP12, and T4147, and 0.1 ng of the 5hmC Adenovirus PCR fragment), sheared to about 300 bp and ligated to pyrrolo-dC adapters with 1 uL of in vitro synthesized deaminase (e.g., synthesized using the PURExpress In Vitro Protein Synthesis kit (NEB, Ipswich, MA) following manufacturer’s recommendations with 100-400 ng of PCR fragment template DNA containing codon-optimized deaminase coding sequence and T7 promoter and terminator).Exemplary deamination reaction conditions are 50 mM Bis-Tris pH 6.0, 0.1% Triton X-100 for 1 hour at 37 degrees C. After the deamination reaction, 1 uL of Thermolabile Proteinase K (NEB, Ipswich, MA) can be added and incubated for 30 min at 37 degrees C and then the Proteinase K can be heat inactivated at 60 degrees C for 10 minutes. The deaminated product can then be used for library amplification using the NEBNext Q5U Master Mix (New England Biolabs, Ipswich, MA, USA) with 5mMof NEBNext Unique Dual Index Primers. The resulting library can be purified using IX NEBNext Sample Purification Beads according to the manufacturer’s instructions and the purified library can be analyzed and quantified by an Agilent Bioanalyzer 2100 DNA Highsensitivity chip. The libraries can be sequenced using the Illumina NextSeq and NovaSeq platforms. Paired-end sequencing of 75 cycles (2 x 75 bp) can be performed for all the sequencing runs. Base calling and demultiplexing can be carried out with the standard Illumina pipeline.[000273] In some embodiments, the conversion procedure converts modified nucleosides. In some embodiments, the conversion procedure which converts modified nucleosides comprises enzymatic conversion, such as DM-seq, for example, as described in Wang et al., Nat Chem Biol. 2023, 19(8): 1004-1012 and WO2023 / 288222A1. In DM-seq, unmodified cytosines in the DNA are enzymatically protected from a subsequent deamination step wherein 5mC in 5mCpG is converted to T. The enzymatically protected unmodified (e.g., unmethylated) cytosines are notconverted and are read as “C” during sequencing. Cytosines that are read as thymines (in a CpG context) are identified as methylated cytosines in the DNA.[000274] Thus, when this type of conversion is used, the first nucleobase comprises unmodified (such as unmethylated) cytosine, and the second nucleobase comprises modified (such as methylated) cytosine. Sequencing of the converted DNA identifies positions that are read as cytosine as being unmodified C positions. Meanwhile, positions that are read as T are identified as being T or 5mC. Performing DM-seq conversion thus facilitates identifying positions containing 5mC using the sequence reads obtained.[000275] Exemplary cytosine deaminases for use herein include APOBEC enzymes, for example, APOBEC3A. Generally, AID / APOBEC family DNA deaminase enzymes such as APOBEC3A (A3 A) are used to deaminate (unprotected) unmodified cytosine and 5mC. For an exemplary description of APOBEC enzymes, see, e.g., Gajula et al., Nucleic Acids Res . 2014, 42(15):9964-75, and Schutsky et al., Nucleic Acids Res. 2017, 45(13):7655-7665. For an exemplary description of APOBEC conversion, see, e.g., Schutsky et al., Nature Biotechnology 2018; 36: 1083-1090.[000276] The enzymatic protection of unmodified cytosines in the DNA comprises addition of a protective group to the unmodified cytosines. Such protective groups can comprise an alkyl group, an alkyne group, a carboxyl group, a carboxyalkyl group, an amino group, a hydroxymethyl group, a glucosyl group, a glucosylhydroxymethyl group, an isopropyl group, or a dye. For example, DNA can be treated with a methyltransferase, such as a CpG-specific methyltransferase, which adds the protective group to unmodified cytosines. The term methyltransferase is used broadly herein to refer to enzymes capable of transferring a methyl or substituted methyl (e.g., carboxymethyl) to a substrate (e.g., a cytosine in a nucleic acid). In some embodiments, the DNA is contacted with a CpG-specific DNA methyltransferase (MTase), such as a CpG-specific carboxymethyltransferase (CxMTase), and a substituted methyl donor, such as a carboxymethyl donor (e.g., carboxymethyl-S-adenosyl-L-methionine). See, e.g., WO2021 / 236778A2. In particular embodiments, the CxMTase can facilitate the addition of a protective carboxymethyl group to an unmethylated cytosine. In some embodiments, the unmethylated cytosine is unmodified cytosine. The carboxymethyl group can prevent deamination of the cytosine during a deamination step (such as a deamination step using an APOBEC enzyme, such as A3 A). Substituted methyl or carboxymethyl donors useful in the disclosed methods include but are not limited to, S-adenosyl-L-methionine (SAM) analogs,optionally wherein the SAM analog is carboxy-S-adenosyl-L-methionine (CxSAM). SAM analogs are described, for example, in WO2022 / 197593A1. The MTase may be, for example, a CpG methyltransferase from Spiroplasma sp. strain MQ1 (M.SssI), DNA-methyltransferase 1 (DNMT1), DNA-methyltransferase 3 alpha (DNMT3A), DNA-methyltransferase 3 beta (DNMT3B), or DNA adenine methyltransferase (Dam). The CxMTase may be a CpG methyltransferase from Mycoplasma penetrans (M.Mpel).[000277] Optionally, the conversion procedure further includes enzymatic protection of 5hmCs, such as by glucosylation of the 5hmCs (e.g., using GT) or by carbamoylation of the 5hmCs (e.g., using 5-hydroxymethylcytosine carbamoyltransferase), in the DNA prior to the deamination of unprotected modified cytosines. In this method, 5hmC can be protected from conversion, for example through glucosylation using 0-glucosyl transferase (PGT), forming (5- glucosylhydroxymethylcytosine) 5ghmC, or through carbamoylation using 5- hydroxymethylcytosine carbamoyltransferase, forming 5cmC. This is described, for example, in Yu et al., Cell 2012; 149: 1368-80, and in Yang et al., Bio-protocol, 2023; 12(17): e4496. Glucosylation or carbamoylation of 5hmC can reduce or eliminate deamination of 5hmC by a deaminase such as APOBEC3A. Treatment with an MTase or CxMTase then adds a protecting group to unmodified (unmethylated) cytosines in the DNA. 5mC (but not protected, unmodified cytosine and not 5ghmC or 5cmC) is then deaminated (converted to T in the case of 5mC) by treatment with a deaminase, for example, an APOBEC enzyme (such as APOBEC3A).Sequencing of the converted DNA identifies positions that are read as cytosine as being either 5hmC or unmodified C positions. Meanwhile, positions that are read as T are identified as being T or 5mC. Performing DM-seq conversion with glucosylation of 5hmC on a sample as described herein thus facilitates distinguishing positions containing unmodified C or 5hmC on the one hand from positions containing 5mC using the sequence reads obtained.[000278] Also provided herein are methods in which alternative base conversion schemes are used. For example, unmethylated cytosines can be left intact while methylated cytosines and hydroxymethylcytosines are converted to a base read as a thymine (e.g., uracil, thymine, or dihydrouracil).[000279] In some embodiments, methylating a cytosine in at least one first complementary strand or second complementary strand comprises contacting the cytosine with a methyltransferase such as DNMT1 or DNMT5. In such embodiments, the step of oxidizing a 5-hydroxymethylated cytosine to 5-formylcytosine (such as by contacting the 5 -hydroxymethyl cytosine in a first strand and a second strand with KRuO4) can be optional.[000280] In some embodiments, converting the modified cytosine in at least one first or second strand to a thymine or a base read as thymine comprises oxidizing a hydroxymethyl cytosine, e.g., the hydroxymethyl cytosine is oxidized to formylcytosine. In some embodiments, oxidizing the hydroxymethyl cytosine to formylcytosine comprises contacting the hydroxymethyl cytosine with a ruthenate, such as potassium ruthenate (KRuC ).[000281] In some embodiments, the modified cytosine is converted to thymine, uracil, or dihydrouracil. In any such embodiments, amplification methods may comprise uracil- and / or dihydrouracil -tolerant amplification methods, such as PCR using a uracil- and / or dihydrouracil- tolerant DNA polymerase.[000282] In some embodiments, the method comprises converting a formylcytosine and / or a methylcytosine to carboxylcytosine as part of converting the modified cytosine in at least one first or second strand to a thymine or a base read as thymine. For example, converting the formylcytosine and / or the methylcytosine to carboxylcytosine can comprise contacting the formylcytosine and / or the methylcytosine with a TET enzyme, such as TET1, TET2, or TET3. In some embodiments, the method comprises reducing the carboxylcytosine as part of converting the modified cytosine in at least one first or second strand to a thymine or a base read as thymine, and / or the carboxylcytosine is reduced to dihydrouracil. In some embodiments, reducing the carboxylcytosine comprises contacting the carboxylcytosine with a borane or borohydride reducing agent.[000283] In some embodiments, the borane or borohydride reducing agent comprises pyridine borane, 2-picoline borane, borane, tert-butylamine borane, ammonia borane, sodium borohydride, sodium cyanoborohydride (NaBHiCN), lithium borohydride (LiBFU), ethylenediamine borane, dimethylamine borane, sodium triacetoxyborohydride, morpholine borane, 4-methylmorpholine borane, trimethylamine borane, dicyclohexylamine borane, or a salt thereof. In other embodiments, the reducing agent comprises lithium aluminum hydride, sodium amalgam, amalgam, sulfur dioxide, dithionate, thiosulfate, iodide, hydrogen peroxide, hydrazine, diisobutylaluminum hydride, oxalic acid, carbon monoxide, cyanide, ascorbic acid, formic acid, dithiothreitol, beta-mercaptoethanol, or any combination thereof.[000284] Various TET enzymes may be used in the disclosed methods as appropriate. In some embodiments, the one or more TET enzymes comprise TETv. TETv is described in US Patent10,260,088 and its sequence is SEQ ID NO: 1 therein. In some embodiments, the one or more TET enzymes comprise TETcd. TETcd is described in US Patent 10,260,088 and its sequence is SEQ ID NO: 3 therein. In some embodiments, the one or more TET enzymes comprise TET1. In some embodiments, the one or more TET enzymes comprise TET2. TET2 may be expressed and used as a fragment comprising TET2 residues 1129-1480 joined to TET2 residues 1844-1936 by a linker as described, e g., in US Patent 10,961,525. In some embodiments, the one or more TET enzymes comprise TET1 and TET2. In some embodiments, the one or more TET enzymes comprise a T1372 TET mutant, such as T1372S. In some embodiments, the one or more TET enzymes comprise a VI 900 TET mutant, such as a VI 900 A, V1900C, V1900G, VI 9001, or V1900P TET mutant. In some embodiments, the one or more TET enzymes comprise a VI 900 TET2 mutant, such as a V1900A, V1900C, V1900G, V1900I, or V1900P TET2 mutant.[000285] It can be beneficial to use a TET enzyme that maximizes formation of 5- carboxylcytosine (5-caC) relative to less oxidized modified cytosines, particularly 5- formylcytosine, because 5-caC is not a substrate for enzymatic deamination, e.g., by APOBEC enzymes such as APOBEC3A. Maximizing formation of 5-caC thus reduces the risk of false calls in which a base is identified as unmethylated because it underwent deamination even though it was methylated (or hydroxymethylated) in the original sample. Accordingly, in some embodiments, the TET enzyme comprises a mutation that increases formation of 5-caC. Exemplary mutations are set forth above. “A mutation that increases formation of 5-caC” means that the TET enzyme having the mutation produces more 5-caC than a TET enzyme that lacks the mutation but is otherwise identical. 5-caC production can be measured as described, e g., in Liu et al., Nat Chem Biol 13: 181-187 (2017) (see Online Methods section, TET reactions in vitro subsection, “driving” conditions). Any variants and / or mutants described in Liu et al. (2017) can be used in the disclosed methods as appropriate.[000286] In some embodiments, the one or more TET enzymes comprise a TET2 enzyme comprising a T1372S mutation, such as TET2-CS-T1372S and TET2-CD-T1372S. A TET2 comprising a T1372S mutation is described in US Patent 10,961,525 and may be expressed and used as a fragment comprising TET2 residues 1129-1480 joined to TET2 residues 1844-1936 by a linker. Position 1372 of TET2 corresponds to position 258 of SEQ ID NO: 21 (wild type TET2 catalytic domain) of US Patent 10,961,525. Thus, the sequence of a T1372S TET2 catalytic domain may be obtained by changing the threonine at position 258 of SEQ ID NO: 21 of US Patent 10,961,525 to serine. TET2 comprising a T1372S mutation is also described in Liu et al.,Nat Chem Biol. 2017 February; 13(2): 181-187. As demonstrated in Liu et al., TET2 comprising a T1372S mutation can more efficiently oxidize 5mC to produce 5-carboxylcytosine (5-caC) than other versions of TET2 such as TET2 lacking a T1372S mutation. In some embodiments, the TET2 enzyme is a human TET2 enzyme comprising a T1372S mutation.[000287] Modification sensitive sequencing also includes sequencing methods which do not rely on a conversion step, wherein the base pairing specificity of a base is changed dependent on its modification status. For instance, single molecule techniques such as nanopore based sequencing and single molecule real time sequencing can be used to directly detect modified bases.[000288] For example, some sequencing reactions involve use of an enzyme to control passage of a nucleic acid through a nanopore, and in such cases reaction data can include both kinetics and other behavior of the enzyme and fluctuations in current through the nanopore. For example, ratchet proteins, helicases, or motor proteins can be used to push or pull a nucleic acid molecule through a hole in a biological or synthetic membrane. The kinetics of these proteins can vary depending on the sequence context of a nucleic acid on which they are acting. For example, they may slow down or pause at a modified base, and this behavior, captured as a part of the reaction data, is indicative of the presence of the modified base even where the modified base is not within the sensing portion of the nanopore. One example of a nanopore sequencing system is that commercialized by Oxford Nanopore Technologies (ONT). (See e.g., (Weirather et al., FlOOOResearch, 6: 100, 2017.) ONT sequencing directly sequences a native single-stranded DNA (ssDNA) molecule by measuring characteristic current changes as the bases are threaded through the nanopore by a molecular motor protein. ONT sequencing uses a hairpin library structure similar to the PacBio circular DNA template: the DNA template and its complement are bound by a hairpin adaptor. Therefore, the DNA template passes through the nanopore, followed by a hairpin and finally the complement. The raw read can be split into two “ID” reads (“template” and “complement”) by removing the adaptor. The consensus sequence of two “ID” reads is a “2D” read with a higher accuracy.[000289] Nanopore sequencing can be used to detect base modifications including 5mC, 5hmC, 6mA, BrdU, FdU, IdU, and EdU (see e.g., Gouil & Keniry Essays in Biochemistry (2019) 63 639-648; Kutyavin, Biochemistry (2008), 47, 51, 13666-1367; Muller et al., Nature Methods (2019), volume 16, pages 429-436; Hennion et al., Genome Biology (2020), volume 21, Article number: 125). Accordingly, in some embodiments, the modification sensitive sequencingcomprises nanopore sequencing. In such embodiments, the end repair may be performed using dNTPs, which comprise 4mC, 5mC, 5hmC, 6mA, BrdU, FdU, IdU, and / or EdU.[000290] Another modification sensitive single molecule sequencing technique is single molecule real time sequencing (SMRT) that has been commercialized by Pacific Biosciences. SMRT sequencing relies on sequencing-by-synthesis, where the sequence of a circular DNA template is determined from the succession of fluorescence pulses, each resulting from the addition of one labelled nucleotide by a polymerase fixed to the bottom of a well. Base modifications do not affect the base-called sequence, but they affect the kinetics of the polymerase. By considering the inter-pulse duration (IPD), base modifications can be inferred from the comparison of a modified template to an in silica model or an unmodified template. Such methods can therefore use the pulse width of a signal from sequencing bases, the interpulse duration (IPD) of bases, and the identity of the bases in order to detect a modification in a base or in a neighboring base. (See e.g., Weirather et al. , Fl OOOResearch, 6: 100, 2017.)[000291] Single molecule real time sequencing can be used to detect base modifications such as 4mC, 5mC, 5hmC, 6mA, and 8oxoG (Gouil & Keniry Essays in Biochemistry (2019) 63 639- 648). Accordingly, in some embodiments, the modification sensitive sequencing comprises single molecule real time sequencing. In such embodiments, the end repair may be performed using dNTPs, which comprise 4mC, 5mC, 5hmC, 6mA, and / or 8oxoG.G. Partitioning[000292] In some instances, a heterogeneous nucleic acid sample is partitioned into two or more partitions (sub-samples). In some embodiments, each partition is differentially tagged. Tagged partitions can then be pooled together for collective sample prep and / or sequencing. The partitioning-tagging-pooling steps can occur more than once, with each round of partitioning occurring based on a different characteristics, and tagged using differential tags that are distinguished from other partitions and partitioning means.[000293] Examples of characteristics that can be used for partitioning include sequence length, methylation level, nucleosome binding, sequence mismatch, immunoprecipitation, and / or proteins that bind to DNA. Resulting partitions can include one or more of the following nucleic acid forms: single-stranded DNA (ssDNA), double-stranded DNA (dsDNA), shorter DNA fragments and longer DNA fragments. In some embodiments, partitioning based on a cytosine modification (e.g., cytosine methylation) or methylation generally is performed and is optionallycombined with at least one additional partitioning step, which may be based on any of the foregoing characteristics or forms of DNA. In some embodiments, a heterogeneous population of nucleic acids is partitioned into nucleic acids with one or more base modifications and without the one or more base modifications. Examples of base modifications are described elsewhere herein. Alternatively or additionally, a heterogeneous population of nucleic acids can be partitioned into nucleic acid molecules associated with nucleosomes and nucleic acid molecules devoid of nucleosomes. Alternatively or additionally, a heterogeneous population of nucleic acids may be partitioned into single- stranded DNA (ssDNA) and double-stranded DNA (dsDNA). Alternatively, or additionally, a heterogeneous population of nucleic acids may be partitioned based on nucleic acid length (e.g., molecules of up to 160 bp and molecules having a length of greater than 160 bp).[000294] In some cases, different procedures are applied to different partitions to determine different characteristics of the initial sample. The DNA of at least one partition is subjected to an end repair and modification sensitive sequencing procedure according to the methods of the disclosure described herein. In some embodiments at least one partition is not subjected to the end repair and modification sensitive sequencing procedure according to the methods of the disclosure described herein. In cases where the modification sensitive sequencing procedure comprises a conversion procedure, corresponding sequences from the converted and nonconverted partitions can be compared to identify single nucleotides that have undergone conversion and therefore identify corresponding modified nucleosides in the initial sample. [000295] In some embodiments, partition tagging comprises tagging molecules in each partition with a partition tag. After re-combining partitions (e.g., to reduce the number of sequencing runs needed and avoid unnecessary cost) and sequencing molecules, the partition tags identify the source partition. In another embodiment, different partitions are tagged with different sets of molecular tags, e.g., comprised of a pair of barcodes. In this way, each molecular barcode indicates the source partition as well as being useful to distinguish molecules within a partition. For example, a first set of 35 barcodes can be used to tag molecules in a first partition, while a second set of 35 barcodes can be used tag molecules in a second partition.[000296] In some embodiments, after partitioning and tagging with partition tags, the molecules may be pooled for sequencing in a single run. In some embodiments, a sample tag is added to the molecules, e.g., in a step subsequent to addition of partition tags and pooling. Sample tags canfacilitate pooling material generated from multiple samples for sequencing in a single sequencing run.[000297] Alternatively, in some embodiments, partition tags may be correlated to the sample as well as the partition. As a simple example, a first tag can indicate a first partition of a first sample; a second tag can indicate a second partition of the first sample; a third tag can indicate a first partition of a second sample; and a fourth tag can indicate a second partition of the second sample.[000298] While tags may be attached to molecules already partitioned based on one or more characteristics, the final tagged molecules in the library may no longer possess that characteristic. For example, while single stranded DNA molecules may be partitioned and tagged, the final tagged molecules in the library are likely to be double stranded. Similarly, while DNA may be subject to partition based on different levels of methylation, in the final library, tagged molecules derived from these molecules are likely to be unmethylated. Accordingly, the tag attached to a molecule in the library typically indicates the characteristic of the “parent molecule” from which the ultimate tagged molecule is derived, not necessarily to characteristic of the tagged molecule, itself.[000299] As an example, barcodes 1, 2, 3, 4, etc. are used to tag and label molecules in the first partition; barcodes A, B, C, D, etc. are used to tag and label molecules in the second partition; and barcodes a, b, c, d, etc. are used to tag and label molecules in the third partition.Differentially tagged partitions can be pooled prior to sequencing. Differentially tagged partitions can be separately sequenced or sequenced together concurrently, e.g., in the same flow cell of an Illumina sequencer.[000300] After sequencing, analysis of reads can be performed on a partition-by-partition level, as well as a whole DNA population level. Tags are used to sort reads from different partitions. Analysis can include in silico analysis to determine genetic and epigenetic variation (one or more of methylation, chromatin structure, etc.) using sequence information, genomic coordinates length, coverage, and / or copy number. In some embodiments, higher coverage can correlate with higher nucleosome occupancy in genomic region while lower coverage can correlate with lower nucleosome occupancy or a nucleosome depleted region (NDR).[000301] Disclosed methods herein comprise analyzing DNA in a sample. In some embodiments described herein, the disclosed methods comprise partitioning DNA. In such methods, different forms of DNA (e.g., hypermethylated and hypom ethylated DNA) can be physically partitionedbased on one or more characteristics of the DNA. This approach can be used to determine, for example, whether certain sequences are hypermethylated or hypomethylated. In some embodiments, a first subsample or aliquot of a sample is subjected to steps for making capture probes as described elsewhere herein and a second subsample or aliquot of a sample is subjected to partitioning. In some embodiments, a sample or subsample or aliquot thereof is subjected to partitioning and differential tagging, followed by a capture step using capture probes for rearranged sequences and optionally additional capture probes, e.g., for sequence-variable and / or epigenetic target regions.[000302] Methylation profiling can involve determining methylation patterns across different regions of the genome. For example, after partitioning molecules based on extent of methylation (e.g., relative number of methylated nucleobases per molecule) and sequencing, the sequences of molecules in the different partitions can be mapped to a reference genome. This can show regions of the genome that, compared with other regions, are more highly methylated or are less highly methylated. In this way, genomic regions, in contrast to individual molecules, may differ in their extent of methylation.[000303] Partitioning nucleic acid molecules in a sample can increase a rare signal, e.g., by enriching rare nucleic acid molecules that are more prevalent in one partition of the sample. For example, a genetic variation present in hypermethylated DNA but less (or not) present in hypomethylated DNA can be more easily detected by partitioning a sample into hypermethylated and hypomethylated nucleic acid molecules. By analyzing multiple partitions of a sample, a multi-dimensional analysis of a single molecule can be performed and hence, greater sensitivity can be achieved. Partitioning may include physically partitioning nucleic acid molecules into partitions or subsamples based on the presence or absence of one or more methylated nucleobases. A sample may be partitioned into partitions or subsamples based on a characteristic that is indicative of differential gene expression or a disease state. A sample may be partitioned based on a characteristic, or combination thereof that provides a difference in signal between a normal and diseased state during analysis of nucleic acids, e.g., cell free DNA (cfDNA), non- cfDNA, tumor DNA, circulating tumor DNA (ctDNA) and cell free nucleic acids (cfNA).[000304] In some embodiments, hypermethylation and / or hypomethylation variable epigenetic target regions are analyzed to determine whether they show differential methylation characteristic of tumor cells or cells of a type that does not normally contribute to the DNA sample being analyzed (such as cfDNA), and / or particular immune cell types.[000305] In some instances, heterogeneous DNA in a sample is partitioned into two or more partitions (e.g., at least 3, 4, 5, 6 or 7 partitions). In some embodiments, each partition is differentially tagged. Tagged partitions can then be pooled together for collective sample prep and / or sequencing. The partitioning-tagging-pooling steps can occur more than once, with each round of partitioning occurring based on a different characteristic (examples provided herein), and tagged using differential tags that are distinguished from other partitions and partitioning means. In other instances, the differentially tagged partitions are separately sequenced.[000306] The agents used to partition populations of nucleic acids within a sample can be affinity agents, such as antibodies with the desired specificity, natural binding partners or variants thereof (Bock et al., Nat Biotech 28: 1106-1114 (2010); Song et al., Nat Biotech 29: 68- 72 (2011)), or artificial peptides selected e.g., by phage display to have specificity to a given target. In some embodiments, the agent used in the partitioning is an agent that recognizes a modified nucleobase. In some embodiments, the modified nucleobase recognized by the agent is a modified cytosine, such as a methylcytosine (e.g., 5-methylcytosine). In some embodiments, the modified nucleobase recognized by the agent is a product of a procedure that affects the first nucleobase in the DNA differently from the second nucleobase in the DNA of the sample. In some embodiments, the modified nucleobase may be a “converted nucleobase,” meaning that its base pairing specificity was changed by a procedure. For example, certain procedures convert unmethylated or unmodified cytosine to dihydrouracil, or more generally, at least one modified or unmodified form of cytosine undergoes deamination, resulting in uracil (considered a modified nucleobase in the context of DNA) or a further modified form of uracil. Examples of partitioning agents include antibodies, such as antibodies that recognize a modified nucleobase, which may be a modified cytosine, such as a methylcytosine (e.g., 5-methylcytosine). In some embodiments, the partitioning agent is an antibody that recognizes a modified cytosine other than 5-methylcytosine, such as 5-carboxylcytosine (5caC). Alternative partitioning agents include methyl binding domain (MBDs) and methyl binding proteins (MBPs) as described herein, including proteins such as MeCP2.[000307] Additional, non-limiting examples of partitioning agents are histone binding proteins which can separate nucleic acids bound to histones from free or unbound nucleic acids. Examples of histone binding proteins that can be used in the methods disclosed herein include RBBP4, RbAp48 and SANT domain peptides.[000308] In some embodiments, partitioning can comprise both binary partitioning and partitioning based on degree / level of modifications. For example, methylated fragments can be partitioned by methylated DNA immunoprecipitation (MeDIP), or all methylated fragments can be partitioned from unmethylated fragments using methyl binding domain proteins (e.g., MethylMinder Methylated DNA Enrichment Kit (ThermoFisher Scientific). Subsequently, additional partitioning may involve eluting fragments having different levels of methylation by adjusting the salt concentration in a solution with the methyl binding domain and bound fragments. As salt concentration increases, fragments having greater methylation levels are eluted.[000309] Analyzing DNA may comprise detecting or quantifying DNA of interest. Analyzing DNA can comprise detecting genetic variants and / or epigenetic features (e.g., DNA methylation and / or DNA fragmentation).[000310] In some embodiments, methylation levels can be determined using partitioning, modification-sensitive conversion such as bisulfite conversion, direct detection during sequencing, methylation-sensitive restriction enzyme digestion, methylation-dependent restriction enzyme digestion, or any other suitable approach. For example, different forms of DNA (e.g., hypermethylated and hypomethylated DNA) can be physically partitioned based on one or more characteristics of the DNA. For example, a methylated DNA binding protein (e.g., an MBD such as MBD2, MBD4, or MeCP2) or an antibody specific for 5-methylcytosine (as in MeDIP) can be used to partition the DNA. This approach can be used to determine, for example, whether certain sequences are hypermethylated or hypomethylated. In some embodiments, DNA fragmentation pattern can be determined based on endpoints and / or centerpoints of DNA molecules, such as cfDNA molecules.[000311] In some instances, the final partitions are enriched in nucleic acids having different extents of modifications (overrepresentative or underrepresentative of modifications). Overrepresentation and underrepresentation can be defined by the number of modifications bom by a nucleic acid relative to the median number of modifications per strand in a population. For example, if the median number of 5-methylcytosine residues in nucleic acid in a sample is 2, a nucleic acid including more than two 5-methylcytosine residues is overrepresented in this modification and a nucleic acid with 1 or zero 5-methylcytosine residues is underrepresented. The effect of the affinity separation is to enrich for nucleic acids overrepresented in a modification in a bound phase and for nucleic acids underrepresented in a modification in anunbound phase (i.e. in solution). The nucleic acids in the bound phase can be eluted before subsequent processing.[000312] When using MeDIP or MethylMiner®Methylated DNA Enrichment Kit (ThermoFisher Scientific) various levels of methylation can be partitioned using sequential elutions. For example, a hypomethylated partition (no methylation) can be separated from a methylated partition by contacting the nucleic acid population with the MBD from the kit, which is attached to magnetic beads. The beads are used to separate out the methylated nucleic acids from the nonmethylated nucleic acids. Subsequently, one or more elution steps are performed sequentially to elute nucleic acids having different levels of methylation. For example, a first set of methylated nucleic acids can be eluted at a salt concentration of 160 mM or higher, e.g., at least 150 mM, at least 200 mM, 300 mM, 400 mM, 500 mM, 600 mM, 700 mM, 800 mM, 900 mM, 1000 mM, or 2000 mM. After such methylated nucleic acids are eluted, magnetic separation is once again used to separate higher level of methylated nucleic acids from those with lower level of methylation. The elution and magnetic separation steps can be repeated to create various partitions such as a hypomethylated partition (enriched in nucleic acids comprising no methylation), a methylated partition (enriched in nucleic acids comprising low levels of methylation), and a hyper methylated partition (enriched in nucleic acids comprising high levels of methylation).[000313] In some methods, nucleic acids bound to an agent used for affinity separation based partitioning are subjected to a wash step. The wash step washes off nucleic acids weakly bound to the affinity agent. Such nucleic acids can be enriched in nucleic acids having the modification to an extent close to the mean or median (i.e., intermediate between nucleic acids remaining bound to the solid phase and nucleic acids not binding to the solid phase on initial contacting of the sample with the agent).[000314] The affinity separation results in at least two, and sometimes three or more partitions of nucleic acids with different extents of a modification. While the partitions are still separate, the nucleic acids of at least one partition, and usually two or three (or more) partitions are linked to nucleic acid tags, usually provided as components of adapters, with the nucleic acids in different partitions receiving different tags that distinguish members of one partition from another. The tags linked to nucleic acid molecules of the same partition can be the same or different from one another. But if different from one another, the tags may have part of their code in common so as to identify the molecules to which they are attached as being of a particular partition.[000315] For further details regarding portioning nucleic acid samples based on characteristics such as methylation, see WO2018 / 119452, which is incorporated herein by reference.[000316] In some embodiments, the nucleic acid molecules can be partitioned into different partitions based on the nucleic acid molecules that are bound to a specific protein or a fragment thereof and those that are not bound to that specific protein or fragment thereof.[000317] Nucleic acid molecules can be partitioned based on DNA-protein binding. Protein- DNA complexes can be partitioned based on a specific property of a protein. Examples of such properties include various epitopes, modifications (e.g., histone methylation or acetylation) or enzymatic activity. Examples of proteins which may bind to DNA and serve as a basis for fractionation may include, but are not limited to, protein A and protein G. Any suitable method can be used to partition the nucleic acid molecules based on protein bound regions. Examples of methods used to partition nucleic acid molecules based on protein bound regions include, but are not limited to, SDS-PAGE, chromatin-immuno-precipitation (ChIP), heparin chromatography, and asymmetrical field flow fractionation (AF4).[000318] In some embodiments, the partitioning comprises contacting the DNA with a methylation sensitive restriction enzyme (MSRE) and / or a methylation dependent restriction enzyme (MDRE). Following the treatment of the DNA with a MSRE or a MDRE, the DNA may be partitioned based on size to generate hypermethylated (longest DNA molecules following MSRE treatment and shortest DNA fragments following MDRE treatment), intermediate (intermediate length DNA molecules following MSRE or MDRE treatment), and hypomethylated (shortest DNA molecules following MSRE treatment and longest DNA fragments following MDRE treatment) subsamples.[000319] In some embodiments, the partitioning is performed by contacting the nucleic acids with a methyl binding domain (“MBD”) of a methyl binding protein (“MBP”). In some such embodiments, the nucleic acids are contacted with an entire MBP. In some embodiments, an MBD binds to 5-methylcytosine (5mC), and an MBP comprises an MBD and is referred to interchangeably herein as a methyl binding protein or a methyl binding domain protein. In some embodiments, MBD is coupled to paramagnetic beads, such as Dynabeads® M-280 Streptavidin via a biotin linker. Partitioning into fractions with different extents of methylation can be performed by eluting fractions by increasing the NaCl concentration.[000320] In some embodiments, bound DNA is eluted by contacting the antibody or MBD with a protease, such as proteinase K. This may be performed instead of or in addition to elution steps using NaCl as discussed above.[000321] Examples of agents that recognize a modified nucleobase contemplated herein include, but are not limited to:[000322] (a) MeCP2 is a protein that preferentially binds to 5 -methyl -cytosine over unmodified cytosine.[000323] (b) RPL26, PRP8 and the DNA mismatch repair protein MHS6 preferentially bind to 5- hydroxymethyl-cytosine over unmodified cytosine.[000324] (c) FOXK1, FOXK2, FOXP1, FOXP4 and FOXI3 preferably bind to 5-formyl- cytosine over unmodified cytosine (lurlaro et al., Genome Biol. 14: R119 (2013)).[000325] (d) Antibodies specific to one or more methylated or modified nucleobases or conversion products thereof, such as 5mC, 5caC, or DHU.[000326] In general, elution is a function of the number of modifications, such as the number of methylated sites per molecule, with molecules having more methylation eluting under increased salt concentrations. To elute the DNA into distinct populations based on the extent of methylation, one can use a series of elution buffers of increasing NaCl concentration. Salt concentration can range from about 100 nm to about 2500 mM NaCl. In one embodiment, the process results in three (3) partitions. Molecules are contacted with a solution at a first salt concentration and comprising a molecule comprising an agent that recognizes a modified nucleobase, which molecule can be attached to a capture moiety, such as streptavidin. At the first salt concentration a population of molecules will bind to the agent and a population will remain unbound. The unbound population can be separated as a “hypomethylated” population. For example, a first partition enriched in hypomethylated form of DNA is that which remains unbound at a low salt concentration, e.g., 100 mM or 160 mM. A second partition enriched in intermediate methylated DNA is eluted using an intermediate salt concentration, e.g., between 100 mM and 2000 mM concentration. This is also separated from the sample. A third partition enriched in hypermethylated form of DNA is eluted using a high salt concentration, e.g., at least about 2000 mM.[000327] In some embodiments, a monoclonal antibody raised against 5-methylcytidine (5mC) is used to purify methylated DNA. DNA is denatured, e.g., at 95°C in order to yield singlestranded DNA fragments. Protein G coupled to standard or magnetic beads as well as washesfollowing incubation with the anti-5mC antibody are used to immunoprecipitate DNA bound to the antibody. Such DNA may then be eluted. Partitions may comprise unprecipitated DNA and one or more partitions eluted from the beads.[000328] In some embodiments, the partitions of DNA are desalted and concentrated in preparation for enzymatic steps of library preparation.[000329] Sequences that comprise aberrantly high copy numbers may tend to be hypermethylated. Accordingly, in some embodiments, the DNA contacted with capture probes specific for members of an epigenetic target region set comprising a plurality of target regions that are both type-specific differentially methylated regions and copy number variants comprises at least a portion of a hypermethylated partition. The DNA from or comprising at least a portion of the hypermethylated partition may or may not be combined with DNA from or comprising at least a portion of one or more other partitions, such as an intermediate partition or a hypomethylated partition.H. Amplification[000330] Adapted DNA can be amplified (e.g. by PCR) prior to, or as part of, the modificationsensitive sequencing. For example, in modification-sensitive sequencing procedures which comprise a conversion step, the adapted DNA may be amplified after the conversion step. In modification-sensitive sequencing procedures which involve single molecule sequencing (such a nanopore-based sequencing or SMRT sequencing), there may be no amplification step. In some embodiments, the DNA amplification step is performed after a step of subjecting a DNA sample to end repair and before a step of subjecting the end-repaired DNA molecules to modificationsensitive sequencing.[000331] Amplification is typically primed by primers binding to primer binding sites in adapters flanking a DNA molecule to be amplified. Amplification methods can involve cycles of denaturation, annealing and extension, resulting from thermocycling or can be isothermal as in transcription-mediated amplification. For example, DNA flanked by adapters added to the DNA as described herein can be amplified by PCR or other amplification methods. Amplification methods of use herein can include any suitable methods, such as known to those of ordinary skill in the art. In some embodiments, amplification is primed by primers binding to primer binding sites in adapters flanking a DNA molecule to be amplified. Amplification methods can involve cycles of denaturation, annealing and extension, resulting from thermocycling, such aspolymerase chain reaction (PCR), or can be isothermal, such as in linear amplification methods, transcription-mediated amplification, recombinase polymerase amplification (RPA), helices dependent amplification (HDA), loop-mediated isothermal amplification (LAMP) (Notomi et al., Nuc. Acids Res., 28, e63, 2000), rolling-circle amplification (RCA) (Blanco et al., J. Biol. Chem., 264, 8935-8940, 1989), or hyperbranched rolling circle amplification (Lizard et al., Nat. Genetics, 19, 225-232, 1998). Other amplification methods include the ligase chain reaction, strand displacement amplification, nucleic acid sequence based amplification, and self-sustained sequence based replication.[000332] In some embodiments, the present methods perform dsDNA ligations with T-tailed and C-tailed adapters. The addition of C-tailed adapters can increase ligation efficiency because the A-tailing reaction can also add G-tails to a small portion of the DNA molecules, when the A tailing is performed in the presence of dGTP, such as when the A-tailing is performed in the same reaction as the end repair. The use of T-tailed and C-tailed adapters can result in amplification of at least 50, 60, 70 or 80% of double stranded nucleic acids. The present methods can increase the amount or number of amplified molecules relative to control methods performed with T-tailed adapters alone by at least 10, 15, or 20%.[000333] In some embodiments, adapted DNA is amplified before sequencing. Amplification may in some cases be before one or more capture steps. In some embodiments, the ligation step occurs after the conversion step. In some embodiments, the ligation occurs before or simultaneously with amplification.I. Enriching, Capturing, and Using Capture Probes[000334] DNA molecules in a sample can be subject to a capture step, in which molecules having target sequences are captured for subsequent analysis. In some embodiments, methods disclosed herein comprise a step of capturing one or more sets of target regions of DNA, such as cfDNA. In some embodiments, the capture step (also referred to herein as an “enriching” or “enrichment” step) is performed prior to a step of subjecting the end-repaired DNA molecules to modification-sensitive sequencing, and / or prior to a step of subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing. Capture may be performed using any suitable approach known in the art. Target capture can involve use of a bait set comprising oligonucleotide baits labeled with a capture moiety, such as biotin or the other examples noted below. The probes can have sequences selected to tile across a panel of regions, such as genes. Such bait sets are combined with a sample under conditions that allowhybridization of the target molecules with the baits. Then, captured molecules are isolated using the capture moiety. For example, a biotin capture moiety by bead-based streptavidin. Such methods are further described in, for example, U.S. patent 9,850,523, issuing December 26, 2017, which is incorporated herein by reference.[000335] Capture moieties include, without limitation, biotin, avidin, streptavidin, a nucleic acid comprising a particular nucleotide sequence, a hapten recognized by an antibody, and magnetically attractable particles. The extraction moiety can be a member of a binding pair, such as biotin / streptavidin or hapten / antibody. In some embodiments, a capture moiety that is attached to an analyte is captured by its binding pair which is attached to an isolatable moiety, such as a magnetically attractable particle or a large particle that can be sedimented through centrifugation. The capture moiety can be any type of molecule that allows affinity separation of nucleic acids bearing the capture moiety from nucleic acids lacking the capture moiety. Exemplary capture moieties are biotin which allows affinity separation by binding to streptavidin linked or linkable to a solid phase or an oligonucleotide, which allows affinity separation through binding to a complementary oligonucleotide linked or linkable to a solid phase.[000336] A panel of regions targeted for enrichment can be selected such that they do not contain regions known to include the base modification used in the end repair reaction. When the end repair is performed with dNTPs comprising 5mC or 5hmC, a panel of regions targeted for enrichment may be selected such that they do not contain CpH dinucleotides which are known to be naturally methylated in the subject (e.g. humans). Such CpH dinucleotides can be identified through the use of publicly available resources (e.g. MethBank3.0: a database ofDNA methylomes across a variety of species Nucleic Acids Res 2018). Such an approach has the advantage that any detected methylated CpH dinucleotides can unambiguously be attributed to regions synthesized in the end repair.[000337] In some embodiments, capturing comprises contacting the DNA to be captured with a set of target-specific probes. The set of target-specific probes may have any of the features described herein for sets of target-specific probes, including but not limited to in the embodiments set forth above and the sections relating to probes below. Capturing may be performed on one or more subsamples prepared during methods disclosed herein. In some embodiments, DNA is captured from at least the first subsample or the second subsample, e.g., at least the first subsample and the second subsample. In some embodiments, the subsamples are differentially tagged (e.g., as described herein) and then pooled before undergoing capture.[000338] The capturing step may be performed using conditions suitable for specific nucleic acid hybridization, which generally depend to some extent on features of the probes such as length, base composition, etc. Those skilled in the art will be familiar with appropriate conditions given general knowledge in the art regarding nucleic acid hybridization. In some embodiments, complexes of target-specific probes and DNA are formed.[000339] In some embodiments, a method described herein comprises capturing cfDNA obtained from a subject for a plurality of sets of target regions. The target regions comprise epigenetic target regions, which may show differences in methylation levels and / or fragmentation patterns depending on whether they originated from a tumor or from healthy cells. The target regions also comprise sequence-variable target regions, which may show differences in sequence depending on whether they originated from a tumor or from healthy cells. The capturing step produces a captured set of cfDNA molecules, and the cfDNA molecules corresponding to the sequence-variable target region set are captured at a greater capture yield in the captured set of cfDNA molecules than cfDNA molecules corresponding to the epigenetic target region set. For additional discussion of capturing steps, capture yields, and related aspects, see W02020 / 160414, which is incorporated herein by reference for all purposes.[000340] In some embodiments, a method described herein comprises contacting cfDNA obtained from a subject with a set of target-specific probes, wherein the set of target-specific probes is configured to capture cfDNA corresponding to the sequence-variable target region set at a greater capture yield than cfDNA corresponding to the epigenetic target region set.[000341] It can be beneficial to capture cfDNA corresponding to the sequence-variable target region set at a greater capture yield than cfDNA corresponding to the epigenetic target region set because a greater depth of sequencing may be necessary to analyze the sequence-variable target regions with sufficient confidence or accuracy than may be necessary to analyze the epigenetic target regions. The volume of data needed to determine fragmentation patterns (e.g., to test fsor perturbation of transcription start sites or CTCF binding sites) or fragment abundance (e.g., in hypermethylated and hypomethylated partitions) is generally less than the volume of data needed to determine the presence or absence of cancer-related sequence mutations. Capturing the target region sets at different yields can facilitate sequencing the target regions to different depths of sequencing in the same sequencing run (e.g., using a pooled mixture and / or in the same sequencing cell).[000342] In various embodiments, the methods further comprise sequencing the captured cfDNA, e.g., to different degrees of sequencing depth for the epigenetic and sequence-variable target region sets, consistent with the discussion herein.[000343] In some embodiments, complexes of target-specific probes and DNA are separated from DNA not bound to target-specific probes. For example, where target-specific probes are bound covalently or noncovalently to a solid support, a washing or aspiration step can be used to separate unbound material. Alternatively, where the complexes have chromatographic properties distinct from unbound material (e.g., where the probes comprise a ligand that binds a chromatographic resin), chromatography can be used.[000344] As discussed in detail elsewhere herein, the set of target-specific probes may comprise a plurality of sets such as probes for a sequence-variable target region set and probes for an epigenetic target region set. In some such embodiments, the capturing step is performed with the probes for the sequence-variable target region set and the probes for the epigenetic target region set in the same vessel at the same time, e.g., the probes for the sequence-variable and epigenetic target region sets are in the same composition. This approach provides a relatively streamlined workflow. In some embodiments, the concentration of the probes for the sequence-variable target region set is greater than the concentration of the probes for the epigenetic target region set. [000345] Alternatively, the capturing step is performed with the sequence-variable target region probe set in a first vessel and with the epigenetic target region probe set in a second vessel, or the contacting step is performed with the sequence-variable target region probe set at a first time and a first vessel and the epigenetic target region probe set at a second time before or after the first time. This approach allows for preparation of separate first and second compositions comprising captured DNA corresponding to the sequence-variable target region set and captured DNA corresponding to the epigenetic target region set. The compositions can be processed separately as desired (e.g., to fractionate based on methylation as described elsewhere herein) and recombined in appropriate proportions to provide material for further processing and analysis such as sequencing.[000346] In some embodiments, a captured set of DNA (e.g., cfDNA) is provided. With respect to the disclosed methods, the captured set of DNA may be provided, e.g., by performing a capturing step prior to a sequencing step as described herein. The captured set may comprise DNA corresponding to a sequence-variable target region set, an epigenetic target region set, or acombination thereof. In some embodiments, a capture step is performed prior to a conversion step or after a conversion step.[000347] In some embodiments, a first target region set is captured (e.g., from a sample or a first subsample), comprising at least epigenetic target regions. The epigenetic target regions captured from the first subsample may comprise hypermethylation variable target regions. In some embodiments, the hypermethylation variable target regions are CpG-containing regions that are unmethylated or have low methylation in cfDNA from healthy subjects (e.g., below-average methylation relative to bulk cfDNA). In some embodiments, the hypermethylation variable target regions are regions that show lower methylation in healthy cfDNA than in at least one other tissue type. Without wishing to be bound by any particular theory, cancer cells may shed more DNA into the bloodstream than healthy cells of the same tissue type. As such, the distribution of tissue of origin of cfDNA may change upon carcinogenesis. Thus, an increase in the level of hypermethylation variable target regions in the first subsample can be an indicator of the presence (or recurrence, depending on the history of the subject) of cancer.[000348] In some embodiments, a second target region set is captured from the second subsample, comprising at least epigenetic target regions. The epigenetic target regions may comprise hypomethylation variable target regions. In some embodiments, the hypomethylation variable target regions are CpG-containing regions that are methylated or have high methylation in cfDNA from healthy subjects (e.g., above-average methylation relative to bulk cfDNA). In some embodiments, the hypomethylation variable target regions are regions that show higher methylation in healthy cfDNA than in at least one other tissue type. Without wishing to be bound by any particular theory, cancer cells may shed more DNA into the bloodstream than healthy cells of the same tissue type. As such, the distribution of tissue of origin of cfDNA may change upon carcinogenesis. Thus, an increase in the level of hypomethylation variable target regions in the second subsample can be an indicator of the presence (or recurrence, depending on the history of the subject) of cancer.[000349] In some embodiments the quantity of captured sequence-variable target region DNA is greater than the quantity of the captured epigenetic target region DNA, when normalized for the difference in the size of the targeted regions (footprint size).[000350] Alternatively, first and second captured sets may be provided, comprising, respectively, DNA corresponding to a sequence-variable target region set and DNAcorresponding to an epigenetic target region set. The first and second captured sets may be combined to provide a combined captured set.[000351] In some embodiments in which a captured set comprising DNA corresponding to the sequence-variable target region set and the epigenetic target region set includes a combined captured set as discussed above, the DNA corresponding to the sequence-variable target region set may be present at a greater concentration than the DNA corresponding to the epigenetic target region set, e.g., a 1.1 to 1.2-fold greater concentration, a 1.2- to 1.4-fold greater concentration, a 1.4- to 1.6-fold greater concentration, a 1.6- to 1.8-fold greater concentration, a 1.8- to 2.0-fold greater concentration, a 2.0- to 2.2-fold greater concentration, a 2.2- to 2.4-fold greater concentration a 2.4- to 2.6-fold greater concentration, a 2.6- to 2.8-fold greater concentration, a 2.8- to 3.0-fold greater concentration, a 3.0- to 3.5-fold greater concentration, a 3.5- to 4.0, a 4.0- to 4.5-fold greater concentration, a 4.5- to 5.0-fold greater concentration, a 5.0- to 5.5-fold greater concentration, a 5.5- to 6.0-fold greater concentration, a 6.0- to 6.5-fold greater concentration, a 6.5- to 7.0-fold greater, a 7.0- to 7.5-fold greater concentration, a 7.5- to 8.0-fold greater concentration, an 8.0- to 8.5-fold greater concentration, an 8.5- to 9.0-fold greater concentration, a 9.0- to 9.5-fold greater concentration, 9.5- to 10.0-fold greater concentration, a 10- to 11 -fold greater concentration, an 11- to 12-fold greater concentration a 12- to 13 -fold greater concentration, a 13- to 14-fold greater concentration, a 14- to 15-fold greater concentration, a 15- to 16-fold greater concentration, a 16- to 17-fold greater concentration, a 17- to 18-fold greater concentration, an 18- to 19-fold greater concentration, a 19- to 20-fold greater concentration, a 20- to 30-fold greater concentration, a 30- to 40-fold greater concentration, a 40- to 50-fold greater concentration, a 50- to 60-fold greater concentration, a 60- to 70-fold greater concentration, a 70- to 80-fold greater concentration, a 80- to 90-fold greater concentration, or a 90- to 100-fold greater concentration. The degree of difference in concentrations accounts for normalization for the footprint sizes of the target regions, as discussed in the definition section.[000352] In some embodiments, the DNA that is captured comprises intronic regions. In some embodiments, the intronic regions comprise one or more introns likely to differentiate DNA from neoplastic (e.g., tumor or cancer) cells and from healthy cells, e.g., non-neoplastic circulating cells. For example, an intron comprising a rearrangement known to be present in some neoplastic cells and absent from healthy cells can be used to differentiate DNA from neoplastic (e.g., tumoror cancer) cells and from healthy cells. In some embodiments, the rearrangement is a translocation.[000353] In some embodiments, captured intronic regions have a footprint of at least 30 bp, e.g., at least 100 bp, at least 200 bp, at least 500 bp, at least 1 kb, at least 2 kb, at least 5 kb, at least 10 kb, at least 20 kb, at least 50 kb, at least 200 kb, at least 300 kb, or at least 400 kb. In some embodiments, the intronic target region set has a footprint in the range of 30 bp-1000 kb, e.g., 30 bp-100 bp, 100 bp-200 bp, 200 bp-500 bp, 500 bp-lkb, 1 kb-2 kb, 2 kb-5 kb, 5 kb-10 kb, 10 kb- 20 kb, 20 kb-50 kb, 50 kb-100 kb, 100-200 kb, 200-300 kb, 300-400 kb, 400-500 kb, 500-600 kb, 600-700 kb, 700-800 kb, 800-900 kb, and 900-1,000 kb.[000354] Exemplary rearrangements, such as intronic translocations that can be detected using the methods described herein include but are not limited to translocations wherein at least one of the two genes involved in the translocation is a receptor tyrosine kinase. Exemplary translocation products are the BCR-ABL fusion, and fusions comprising any of ALK, FGFR2, FGFR3, NTRK1, RET, or ROSE[000355] In some embodiments, the DNA that is captured comprises target regions having a type-specific epigenetic variation. In some embodiments, an epigenetic target region set consists of target regions having a type-specific epigenetic variation. In some embodiments, the typespecific epigenetic variations, e.g., differential methylation or a type-specific fragmentation pattern, are likely to differentiate DNA from one or more related cell or tissue types cells from DNA from other cell or tissue types present in a sample or in a subject.[000356] In some embodiments, nucleic acids captured or enriched using a method described herein comprise captured DNA, such as one or more captured sets of DNA. In some embodiments, the captured DNA comprise target regions that are differentially methylated in different immune cell types. In some embodiments, the immune cell types comprise rare or closely related immune cell types, such as activated and naive lymphocytes or myeloid cells at different stages of differentiation.[000357] In some embodiments, a captured epigenetic target region set captured from a sample or first subsample comprises hypermethylation variable target regions. In some embodiments, the hypermethylation variable target regions are differentially or exclusively hypermethylated in one or more related cell or tissue types. In some embodiments, the hypermethylation variable target regions are differentially or exclusively hypermethylated in one cell type or in one immune cell type, or in one immune cell type within a cluster. In some embodiments, thehypermethylation variable target regions are hypermethylated to an extent that is distinguishably higher or exclusively present in one cell type or one immune cell type or one immune cell type within a cluster. Such hypermethylation variable target regions may be hypermethylated in other cell or tissue types but not to the extent observed in the one or more related cell or tissue types. In some embodiments, the hypermethylation variable target regions show lower methylation in healthy cfDNA than in at least one other tissue type. In some embodiments, the hypermethylation variable target regions show even higher methylation in cfDNA from a diseased cell of the one or more related cell or tissue types. In some embodiments, target regions comprise hypermethylated regions with aberrantly high copy number. In some such embodiments, the target regions are hypermethylated in healthy and diseased colon tissue and have aberrantly high copy number in pre-cancerous or cancerous colon tissue. Examples of such target regions are shown in Table 2 below. A gene is considered to comprise a DMR when the DMR is located within an untranslated region (UTR), intron, or exon of the gene, or within 5000 nucleotides of either the 5’ end of the sense strand of the 5’ UTR or the 3’ end of the sense strand of the 3’ UTR.[000358] Table 2: Hypermethylated target regions with aberrantly high copy number in colon cancer or pre-cancer[000359] Table 3. Exemplary Hypermethylation Target Regions based on Lung Cancer studies[000360] In some embodiments, a captured epigenetic target region set captured from a sample or subsample comprises hypomethylation variable target regions. In some embodiments, the hypomethylation variable target regions are exclusively hypomethylated in one or more related cell or tissue types. In some embodiments, the hypomethylation variable target regions are exclusively hypomethylated in one cell type or in one immune cell type or in one immune cell type within a cluster. In some embodiments, the hypomethylation variable target regions are hypomethylated to an extent that is exclusively present in one cell type or one immune cell type or in one immune cell type within a cluster. Such hypomethylation variable target regions may be hypomethylated in other cell or tissue types but not to the extent observed in the one or more cell or tissue types. In some embodiments, the hypomethylation variable target regions show higher methylation in healthy cfDNA than in at least one other tissue type.[000361] Without wishing to be bound by any particular theory, in an individual with cancer, proliferating or activated immune cells and / or dying cancer cells may shed more DNA into the bloodstream than immune cells in a healthy individual and / or healthy cells of the same tissue type, respectively. As such, the distribution of cell type and / or tissue of origin of cfDNA may change upon carcinogenesis. Thus, the presence and / or levels of cfDNA originating from certain cell or tissue types can be an indicator of disease. Variations in hypermethylation and / or hypomethylation can be an indicator of disease. For example, an increase in the level of hypermethylation variable target regions and / or hypomethylation variable target regions in a subsample following a partitioning step can be an indicator of the presence (or recurrence, depending on the history of the subject) of cancer.[000362] Exemplary hypermethylation variable target regions and hypomethylation variable target regions useful for distinguishing between various cell types, including but not limited to immune cell types, have been identified by analyzing DNA obtained from various cell types via whole genome bisulfite sequencing, as described, e g., in Scott, C.A., Duryea, I D., MacKay, H. et al., “Identification of cell type-specific methylation signals in bulk whole genome bisulfite sequencing data,” Genome Biol 21, 156 (2020) (doi.org / 10.1186 / sl3059-020-02065-5). Wholegenome bisulfite sequencing data is available from the Blueprint consortium, available on the internet at dcc.blueprint-epigenome.eu.[000363] In some embodiments, first and second captured target region sets comprise, respectively, DNA corresponding to a sequence-variable target region set and DNA corresponding to an epigenetic target region set, for example, as described in WO 2020 / 160414.The first and second captured sets may be combined to provide a combined captured set. The sequence-variable target region set and epigenetic target region set may have any of the features described for such sets in WO 2020 / 160414, which is incorporated by reference herein in its entirety. In some embodiments, the epigenetic target region set comprises a hypermethylation variable target region set. In some embodiments, the epigenetic target region set comprises a hypomethylation variable target region set. In some embodiments, the epigenetic target region set comprises CTCF binding regions. In some embodiments, the epigenetic target region set comprises fragmentation variable target regions. In some embodiments, the epigenetic target region set comprises transcriptional start sites. In some embodiments, the epigenetic target region set comprises regions that may show focal amplifications in cancer, e.g., one or more of AR, BRAF, CCND1, CCND2, CCNE1, CDK4, CDK6, EGFR, ERBB2, FGFR1, FGFR2, KIT, KRAS, MET, MYC, PDGFRA, PIK3CA, and RAFI. For example, in some embodiments, the epigenetic target region set comprises at least 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, or 18 of the foregoing targets.[000364] In some embodiments, the sequence-variable target region set comprises a plurality of regions known to undergo somatic mutations in cancer. In some aspects, the sequence-variable target region set targets a plurality of different genes or genomic regions (“panel”) selected such that a determined proportion of subjects having a cancer exhibits a genetic variant or tumor marker in one or more different genes or genomic regions in the panel. The panel may be selected to limit a region for sequencing to a fixed number of base pairs. The panel may be selected to sequence a desired amount of DNA, e.g., by adjusting the affinity and / or amount of the probes as described elsewhere herein. The panel may be further selected to achieve a desired sequence read depth. The panel may be selected to achieve a desired sequence read depth or sequence read coverage for an amount of sequenced base pairs. The panel may be selected to achieve a theoretical sensitivity, a theoretical specificity, and / or a theoretical accuracy for detecting one or more genetic variants in a sample.[000365] Probes for detecting the panel of regions can include those for detecting genomic regions of interest (hotspot regions). Information about chromatin structure can be taken into account in designing probes, and / or probes can be designed to maximize the likelihood that particular sites (e.g., KRAS codons 12 and 13) can be captured, and may be designed to optimize capture based on analysis of cfDNA coverage and fragment size variation impacted bynucleosome binding patterns and GC sequence composition. Regions used herein can also include non-hotspot regions optimized based on nucleosome positions and GC models.[000366] Probes for detecting the panel of regions can include those for detecting genomic regions of interest (hotspot regions). Information about chromatin structure can be taken into account in designing probes, and / or probes can be designed to maximize the likelihood that particular sites (e.g., KRAS codons 12 and 13) can be captured, and may be designed to optimize capture based on analysis of cfDNA coverage and fragment size variation impacted by nucleosome binding patterns and GC sequence composition. Regions used herein can also include non-hotspot regions optimized based on nucleosome positions and GC models.[000367] Examples of listings of genomic locations of interest may be found in Table 3 and Table 4 of WO 2020 / 160414. In some embodiments, a sequence-variable target region set used in the methods of the present disclosure comprises at least a portion of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, or 70 of the genes of Table 3 of WO 2020 / 160414. In some embodiments, a sequence-variable target region set used in the methods of the present disclosure comprises at least a portion of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, at least 70, or 73 of the genes of Table 4 of WO 2020 / 160414. Additionally or alternatively, suitable target region sets are available from the literature. For example, Gale et al., PLoS One 13: e0194630 (2018), which is incorporated herein by reference, describes a panel of 35 cancer-related gene targets that can be used as part or all of a sequence-variable target region set. These 35 targets are AKT1, ALK, BRAF, CCND1, CDK2A, CTNNB1, EGFR, ERBB2, ESRI, FGFR1, FGFR2, FGFR3, FOXL2, GATA3, GNA11, GNAQ, GNAS, HRAS, IDH1, IDH2, KIT, KRAS, MED12, MET, MYC, NFE2L2, NRAS, PDGFRA, PIK3CA, PPP2R1A, PTEN, RET, STK11, TP53, and U2AF1.[000368] In some embodiments, the sequence-variable target region set comprises target regions from at least 10, 20, 30, or 35 cancer-related genes, such as the cancer-related genes listed above and in WO 2020 / 160414.[000369] In some embodiments, a collection of capture probes is used in methods described herein, e.g., comprising capture probes prepared by any method disclosed herein for doing so. In some embodiments, the collection of capture probes further comprises target-binding probes specific for a sequence-variable target region set and / or target-binding probes specific for anepigenetic target region set. In some embodiments, the capture yield of the target-binding probes specific for the sequence-variable target region set is higher (e.g., at least 2-fold higher) than the capture yield of the target-binding probes specific for the epigenetic target region set. In some embodiments, the collection of capture probes is configured to have a capture yield specific for the sequence-variable target region set higher (e.g., at least 2-fold higher) than its capture yield specific for the epigenetic target region set.[000370] In some embodiments, the capture yield of the target-binding probes specific for the sequence-variable target region set is at least 1.25-, 1.5-, 1.75-, 2-, 2.25-, 2.5-, 2.75-, 3-, 3.5-, 4-,4.5-, 5-, 6-, 7-, 8-, 9-, 10-, 11-, 12-, 13-, 14-, or 15-fold higher than the capture yield of the target-binding probes specific for the epigenetic target region set. In some embodiments, the capture yield of the target-binding probes specific for the sequence-variable target region set is 1.25- to 1.5-, 1.5- to 1.75-, 1.75- to 2-, 2- to 2.25-, 2.25- to 2.5-, 2.5- to 2.75-, 2.75- to 3-, 3- to3.5-, 3.5- to 4-, 4- to 4.5-, 4.5- to 5-, 5- to 5.5-, 5.5- to 6-, 6- to 7-, 7- to 8-, 8- to 9-, 9- to 10-, 10- to 11-, 11- to 12-, 13- to 14-, or 14- to 15-fold higher than the capture yield of the target-binding probes specific for the epigenetic target region set.[000371] In some embodiments, the collection of capture probes is configured to have a capture yield specific for the sequence-variable target region set at least 1.25-, 1.5-, 1.75-, 2-, 2.25-, 2.5-, 2.75-, 3-, 3.5-, 4-, 4.5-, 5-, 6-, 7-, 8-, 9-, 10-, 11-, 12-, 13-, 14-, or 15-fold higher than its capture yield for the epigenetic target region set. In some embodiments, the collection of capture probes is configured to have a capture yield specific for the sequence-variable target region set is 1.25- to 1.5-, 1.5- to 1.75-, 1.75- to 2-, 2- to 2.25-, 2.25- to 2.5-, 2.5- to 2.75-, 2.75- to 3-, 3- to 3.5-,3.5- to 4-, 4- to 4.5-, 4.5- to 5-, 5- to 5.5-, 5.5- to 6-, 6- to 7-, 7- to 8-, 8- to 9-, 9- to 10-, 10- to 11-, 11- to 12-, 13- to 14-, or 14- to 15-fold higher than its capture yield specific for the epigenetic target region set.[000372] The collection of probes can be configured to provide higher capture yields for the sequence-variable target region set in various ways, including concentration, different lengths and / or chemistries (e.g., that affect affinity), and combinations thereof. Affinity can be modulated by adjusting probe length and / or including nucleotide modifications as discussed below.[000373] In some embodiments, the capture probes specific for the sequence-variable target region set are present at a higher concentration than the capture probes specific for the epigenetic target region set. In some embodiments, concentration of the target-binding probes specific forthe sequence-variable target region set is at least 1.25-, 1.5-, 1.75-, 2-, 2.25-, 2.5-, 2.75-, 3-, 3.5-, 4-, 4.5-, 5-, 6-, 7-, 8-, 9-, 10-, 11-, 12-, 13-, 14-, or 15-fold higher than the concentration of the target-binding probes specific for the epigenetic target region set. In some embodiments, the concentration of the target-binding probes specific for the sequence-variable target region set is 1.25- to 1.5-, 1.5- to 1.75-, 1.75- to 2-, 2- to 2.25-, 2.25- to 2.5-, 2.5- to 2.75-, 2.75- to 3-, 3- to 3.5-, 3.5- to 4-, 4- to 4.5-, 4.5- to 5-, 5- to 5.5-, 5.5- to 6-, 6- to 7-, 7- to 8-, 8- to 9-, 9- to 10-, 10- to 11-, 11- to 12-, 13- to 14-, or 14- to 15-fold higher than the concentration of the target-binding probes specific for the epigenetic target region set. In such embodiments, concentration may refer to the average mass per volume concentration of individual probes in each set.[000374] In some embodiments, the capture probes specific for the sequence-variable target region set have a higher affinity for their targets than the capture probes specific for the epigenetic target region set. Affinity can be modulated in any way known to those skilled in the art, including by using different probe chemistries. For example, certain nucleotide modifications, such as cytosine 5-methylation (in certain sequence contexts), modifications that provide a heteroatom at the 2’ sugar position, and LNA nucleotides, can increase stability of double-stranded nucleic acids, indicating that oligonucleotides with such modifications have relatively higher affinity for their complementary sequences. See, e.g., Severin et al., Nucleic Acids Res. 39: 8740-8751 (2011); Freier et al., Nucleic Acids Res. 25: 4429-4443 (1997); US Patent No. 9,738,894. Also, longer sequence lengths will generally provide increased affinity. Other nucleotide modifications, such as the substitution of the nucleobase hypoxanthine for guanine, reduce affinity by reducing the amount of hydrogen bonding between the oligonucleotide and its complementary sequence. In some embodiments, the capture probes specific for the sequence-variable target region set have modifications that increase their affinity for their targets. In some embodiments, alternatively or additionally, the capture probes specific for the epigenetic target region set have modifications that decrease their affinity for their targets. In some embodiments, the capture probes specific for the sequence-variable target region set have longer average lengths and / or higher average melting temperatures than the capture probes specific for the epigenetic target region set. These embodiments may be combined with each other and / or with differences in concentration as discussed above to achieve a desired fold difference in capture yield, such as any fold difference or range thereof described above.[000375] In some embodiments, the capture probes comprise a capture moiety. The capture moiety may be any of the capture moieties described herein, e.g., biotin. In some embodiments,the capture probes are linked to a solid support, e.g., covalently or non-covalently such as through the interaction of a binding pair of capture moieties. In some embodiments, the solid support is a bead, such as a magnetic bead.[000376] In some embodiments, the capture probes specific for the sequence-variable target region set and / or the capture probes specific for the epigenetic target region set are a capture probe set as discussed above, e.g., probes comprising capture moieties and sequences selected to tile across a panel of regions, such as genes.[000377] In some embodiments, the capture probes are provided in a single composition. The single composition may be a solution (liquid or frozen). Alternatively, it may be a lyophilizate.[000378] Alternatively, the capture probes may be provided as a plurality of compositions, e.g., comprising a first composition comprising probes specific for the epigenetic target region set and a second composition comprising probes specific for the sequence-variable target region set.These probes may be mixed in appropriate proportions to provide a combined probe composition with any of the foregoing fold differences in concentration and / or capture yield. Alternatively, they may be used in separate capture procedures (e.g., with aliquots of a sample or sequentially with the same sample) to provide first and second compositions comprising captured epigenetic target regions and sequence-variable target regions, respectively.1. Probes specific for epigenetic target regions[000379] The probes for the epigenetic target region set may comprise probes specific for one or more types of target regions likely to differentiate DNA from neoplastic (e.g., tumor or cancer) cells from healthy cells, e.g., non-neoplastic circulating cells. Exemplary types of such regions are discussed in detail herein, e g., in the sections above concerning captured sets. The probes for the epigenetic target region set may also comprise probes for one or more control regions, e.g., as described herein.[000380] In some embodiments, the probes for the epigenetic target region set have a footprint of at least 100 kbp, e.g., at least 200 kbp, at least 300 kbp, or at least 400 kbp. In some embodiments, the epigenetic target region set has a footprint in the range of 100-20 Mbp, e.g., 100-200 kbp, 200-300 kbp, 300-400 kbp, 400-500 kbp, 500-600 kbp, 600-700 kbp, 700-800 kbp, 800-900 kbp, 900-1,000 kbp, 1-1.5 Mbp, 1.5-2 Mbp, 2-3 Mbp, 3-4 Mbp, 4-5 Mbp, 5-6 Mbp, 6-7 Mbp, 7-8 Mbp, 8-9 Mbp, 9-10 Mbp, or 10-20 Mbp. In some embodiments, the epigenetic target region set has a footprint of at least 20 Mbp.a. Hypermethylation variable target regions[000381] In some embodiments, the probes for the epigenetic target region set comprise probes specific for one or more hypermethylation variable target regions. Hypermethylation variable target regions may also be referred to herein as hypermethylated DMRs (differentially methylated regions). The hypermethylation variable target regions may be any of those set forth above. For example, in some embodiments, the probes specific for hypermethylation variable target regions comprise probes specific for a plurality of loci listed in Table 2, e.g., at least 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, or 100% of the loci listed in Table 2. In some embodiments, the probes specific for hypermethylation variable target regions comprise probes specific for a plurality of loci listed in Table 3, e g., at least 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, or 100% of the loci listed in Table 3. In some embodiments, the probes specific for hypermethylation variable target regions comprise probes specific for a plurality of loci listed in Table 2 or Table 3, e.g., at least 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, or 100% of the loci listed in Table 2 or Table 3. In some embodiments, for each locus included as a target region, there may be one or more probes with a hybridization site that binds between the transcription start site and the stop codon (the last stop codon for genes that are alternatively spliced) of the gene. In some embodiments, the one or more probes bind within 300 bp of the listed position, e.g., within 200 or 100 bp. In some embodiments, a probe has a hybridization site overlapping the position listed above. In some embodiments, the probes specific for the hypermethylation target regions include probes specific for one, two, three, four, or five subsets of hypermethylation target regions that collectively show hypermethylation in one, two, three, four, or five of breast, colon, kidney, liver, and lung cancers. b. Hypomethylation variable target regions[000382] In some embodiments, the probes for the epigenetic target region set comprise probes specific for one or more hypomethylation variable target regions. Hypomethylation variable target regions may also be referred to herein as hypomethylated DMRs (differentially methylated regions). The hypomethylation variable target regions may be any of those set forth above. For example, the probes specific for one or more hypomethylation variable target regions may include probes for regions such as repeated elements, e.g., LINE1 elements, Alu elements, centromeric tandem repeats, peri centromeric tandem repeats, and satellite DNA, and intergenicregions that are ordinarily methylated in healthy cells may show reduced methylation in tumor cells.[000383] In some embodiments, probes specific for hypomethylation variable target regions include probes specific for repeated elements and / or intergenic regions. In some embodiments, probes specific for repeated elements include probes specific for one, two, three, four, or five of LINE1 elements, Alu elements, centromeric tandem repeats, peri centromeric tandem repeats, and / or satellite DNA.[000384] Exemplary probes specific for genomic regions that show cancer-associated hypomethylation include probes specific for nucleotides 8403565-8953708 and / or 151104701- 151106035 of human chromosome 1. In some embodiments, the probes specific for hypomethylation variable target regions include probes specific for regions overlapping or comprising nucleotides 8403565-8953708 and / or 151104701-151106035 of human chromosome 1. c. CTCF binding regions[000385] In some embodiments, the probes for the epigenetic target region set include probes specific for CTCF binding regions. In some embodiments, the probes specific for CTCF binding regions comprise probes specific for at least 10, 20, 50, 100, 200, or 500 CTCF binding regions, or 10-20, 20-50, 50-100, 100-200, 200-500, or 500-1000 CTCF binding regions, e g., such as CTCF binding regions described above or in one or more of CTCFBSDB or the Cuddapah et al., Martin et al., or Rhee et al. articles cited above. In some embodiments, the probes for the epigenetic target region set comprise at least 100 bp, at least 200 bp at least 300 bp, at least 400 bp, at least 500 bp, at least 750 bp, or at least 1000 bp upstream and downstream regions of the CTCF binding sites. d. Transcription start sites[000386] In some embodiments, the probes for the epigenetic target region set include probes specific for transcriptional start sites. In some embodiments, the probes specific for transcriptional start sites comprise probes specific for at least 10, 20, 50, 100, 200, or 500 transcriptional start sites, or 10-20, 20-50, 50-100, 100-200, 200-500, or 500-1000 transcriptional start sites, e.g., such as transcriptional start sites listed in DBTSS. In some embodiments, the probes for the epigenetic target region set comprise probes for sequences at least 100 bp, at least200 bp, at least 300 bp, at least 400 bp, at least 500 bp, at least 750 bp, or at least 1000 bp upstream and downstream of the transcriptional start sites. e. Focal amplifications[000387J As noted above, although focal amplifications are somatic mutations, they can be detected by sequencing based on read frequency in a manner analogous to approaches for detecting certain epigenetic changes such as changes in methylation. As such, regions that may show focal amplifications in cancer can be included in the epigenetic target region set, as discussed above. In some embodiments, the probes specific for the epigenetic target region set include probes specific for focal amplifications. In some embodiments, the probes specific for focal amplifications include probes specific for one or more of AR, BRAF, CCND1, CCND2, CCNE1, CDK4, CDK6, EGFR, ERBB2, FGFR1, FGFR2, KIT, KRAS, MET, MYC, PDGFRA, PIK3CA, and RAFI. For example, in some embodiments, the probes specific for focal amplifications include probes specific for one or more of at least 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, or 18 of the foregoing targets. f. Control regions[000388] It can be useful to include control regions to facilitate data validation. In some embodiments, the probes specific for the epigenetic target region set include probes specific for control methylated regions that are expected to be methylated in essentially all samples. In some embodiments, the probes specific for the epigenetic target region set include probes specific for control hypomethylated regions that are expected to be hypomethylated in essentially all samples.2. Probes specific for sequence-variable target regions[000389] The probes for the sequence-variable target region set may comprise probes specific for a plurality of regions known to undergo somatic mutations in cancer. The probes may be specific for any sequence-variable target region set described herein. Exemplary sequencevariable target region sets are discussed in detail herein, e.g., in the sections above concerning captured sets.[000390] In some embodiments, the sequence-variable target region probe set has a footprint of at least 0.5 kb, e.g., at least 1 kb, at least 2 kb, at least 5 kb, at least 10 kb, at least 20 kb, at least 30 kb, or at least 40 kb. In some embodiments, the epigenetic target region probe set has aI l lfootprint in the range of 0.5-100 kb, e.g., 0.5-2 kb, 2-10 kb, 10-20 kb, 20-30 kb, 30-40 kb, 40-50 kb, 50-60 kb, 60-70 kb, 70-80 kb, 80-90 kb, and 90-100 kb. In some embodiments, the sequencevariable target region probe set has a footprint of at least 50 kbp, e.g., at least 100 kbp, at least 200 kbp, at least 300 kbp, or at least 400 kbp. In some embodiments, the sequence-variable target region probe set has a footprint in the range of 100-2000 kbp, e.g., 100-200 kbp, 200-300 kbp, 300-400 kbp, 400-500 kbp, 500-600 kbp, 600-700 kbp, 700-800 kbp, 800-900 kbp, 900-1,000 kbp, 1-1.5 Mbp or 1.5-2 Mbp. In some embodiments, the sequence-variable target region set has a footprint of at least 2 Mbp.[000391] In some embodiments, probes specific for the sequence-variable target region set comprise probes specific for at least a portion of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, or at 70 of the genes of Table 4. In some embodiments, probes specific for the sequencevariable target region set comprise probes specific for the at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, or 70 of the SNVs of Table 4. In some embodiments, probes specific for the sequence-variable target region s...

Claims

What is claimed is:

1. A method of sequencing DNA comprising:(a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations;(b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing is capable of identifying the base modification in the at least one type of dNTP, and the sequencing data comprises a plurality of sequencing reads; and(c) analyzing the sequence data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on the one or more locations into which the at least one dNTP comprising a modified base was incorporated.

2. The method of claim 1, wherein the modification-sensitive sequencing comprises subjecting the DNA to a procedure that affects a first nucleobase of the DNA differently from a second nucleobase of the DNA, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity.

3. The method of claim 2, wherein the modification-sensitive sequencing further comprises amplifying the DNA after the procedure that affects the first nucleobase of the DNA differently from the second nucleobase of the DNA.

4. A method of sequencing DNA comprising:(a) subjecting a DNA sample comprising a plurality of DNA molecules to modificationsensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modifiedor unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; and(b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

5. A method of sequencing DNA comprising:(a) subjecting a DNA sample comprising a plurality of DNA molecules to modificationsensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises (i) subjecting the plurality of DNA molecules to a procedure that affects a first nucleobase of the plurality of DNA molecules differently from a second nucleobase of the plurality of DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing a plurality of converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules; wherein the sequencing data comprises a plurality of sequencing reads; and(b) analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

6. The method of claim 4 or claim 5, wherein step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases.

7. The method of claim 4 or claim 5, wherein step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately unconverted bases.

8. The method of claim 4 or claim 5, wherein step (b) comprises analyzing the sequencing data obtained in step (a) to identify sequencing reads that originated from the same DNA molecule based at least in part on the one or more locations of the one or more inappropriately converted bases and the one or more locations of the one or more inappropriately unconverted bases.

9. A method of sequencing DNA comprising:(a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations;(b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises subjecting the end-repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end-repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations, wherein the sequencing data comprises a plurality of sequencing reads; and(c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated,and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

10. A method of sequencing DNA comprising:(a) subjecting a DNA sample to end repair to generate end-repaired DNA molecules, wherein the end repair is performed with deoxynucleotide triphosphates (dNTPs), wherein at least one type of dNTP comprises a modified base, and the at least one dNTP comprising a modified base is incorporated into repaired regions of the end-repaired DNA molecules at one or more locations;(b) subjecting the end-repaired DNA molecules to modification-sensitive sequencing to obtain sequencing data derived from the DNA sample, wherein the modification-sensitive sequencing comprises (i) subjecting the end-repaired DNA molecules to a procedure that affects a first nucleobase of the end-repaired DNA molecules differently from a second nucleobase of the end-repaired DNA molecules, wherein the first nucleobase is a modified or unmodified nucleobase, the second nucleobase is a modified or unmodified nucleobase different from the first nucleobase, and the first nucleobase and the second nucleobase have the same base pairing specificity, thereby producing converted DNA molecules comprising one or more inappropriately converted bases and / or one or more inappropriately unconverted bases at one or more locations; and (ii) amplifying the converted DNA molecules; wherein the sequencing data comprises a plurality of sequencing reads; and(c) analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and / or (ii) the one or more locations of the one or more inappropriately converted bases and / or the one or more locations of the one or more inappropriately unconverted bases.

11. The method of claim 9 or claim 10, wherein step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately converted bases.

12. The method of claim 9 or claim 10, wherein step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately unconverted bases.

13. The method of claim 9 or claim 10, wherein step (c) comprises analyzing the sequencing data obtained in step (b) to identify sequencing reads that originated from the same end-repaired DNA molecule based at least in part on (i) the one or more locations into which the at least one dNTP comprising a modified base was incorporated, and (ii) the one or more locations of the one or more inappropriately converted bases and the one or more locations of the one or more inappropriately unconverted bases.

14. The method of any one of claims 1, 2, or 9-13, wherein the one or more locations into which the at least one dNTP comprising a modified base was incorporated comprises the location into which the at least one dNTP comprising a modified base was incorporated that is most distant from the end of the sequence read.

15. The method of any one of the preceding claims, wherein sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences within a Hamming distance of 0-10, 0-9, 0-8, 0-7, 0-6, 0-5, 0-4, 0-3, 0-2, or 0-1, relative to each other.

16. The method of any one of the preceding claims, wherein sequencing reads that originated from the same DNA molecule or sequencing reads that originated from the same end-repaired DNA molecule are defined as sequences having a maximum Hamming distance relative to each other of 1 per 5 nucleotides, 1 per 6 nucleotides, 1 per 7 nucleotides, 1 per 8 nucleotides, 1 per 9 nucleotides, 1 per 10 nucleotides, 1 per 11 nucleotides, 1 per 12 nucleotides, 1 per 13 nucleotides, 1 per 14 nucleotides, 1 per 15 nucleotides, 1 per 16 nucleotides, 1 per 17 nucleotides, 1 per 18 nucleotides, 1 per 19 nucleotides, 1 per 20 nucleotides, 1 per 25 nucleotides, 1 per 30 nucleotides, 1 per 35 nucleotides, 1 per 40 nucleotides, 1 per 45 nucleotides, 1 per 50 nucleotides, 1 per 55 nucleotides, 1 per 60 nucleotides, 1 per 65 nucleotides, 1 per 70 nucleotides, 1 per 75 nucleotides, 1 per 80 nucleotides, 1 per 85nucleotides, 1 per 90 nucleotides, 1 per 95 nucleotides, 1 per 100 nucleotides, or 1 per / / nucleotides where n ranges from 20 to 100.

17. The method of any one of claims 1, 2, or 9-16, wherein the end repair is performed with a DNA polymerase which does not have 5 ’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase.

18. The method of claim 17, wherein the DNA polymerase is T4 DNA polymerase, T7 DNA polymerase or Klenow fragment.

19. The method of any one of claims 1, 2, or 9-16, wherein the end repair is performed with a DNA polymerase which has 5 ’-3’ exonuclease activity and / or is a strand displacing DNA polymerase.

20. The method of any one of claims 1, 2, or 9-19, wherein the at least one type of dNTP which comprises a modified base modified base includes a dNTP comprising 4-methylcytosine (4mC), a dNTP comprising 5-methylcytosine (5mC), a dNTP comprising 5-hydroxymethyl- cytosine (5hmC), a dNTP comprising N6-methyladenosine (6mA), a dNTP comprising bromodeoxyuridine (BrdU) and / or a dNTP comprising 8-oxoguanine (8oxoG).

21. The method of any one of the preceding claims, further comprising performing an A- tailing reaction, optionally after a step of subjecting a DNA sample to end repair.

22. The method of claim 21, wherein the end-repair and the A-tailing reaction are performed in the same reaction mixture, optionally wherein the end-repair and the A-tailing reaction are performed a single tube and / or optionally wherein the end-repair and the A-tailing reaction are performed without an intervening clean-up step.

23. The method of claim 22, wherein the A-tailing is performed using a DNA polymerase that does not possess 5’-3’ exonuclease activity and / or is not a strand displacing DNA polymerase, optionally wherein the DNA polymerase is HemoKlen Taq.

24. The method of claim 22, wherein the A-tailing is performed using a thermostable DNA polymerase.

25. The method of claim 22, wherein the A-tailing is performed using Taq DNA polymerase, Tfl DNA Polymerase, Bst DNA Polymerase, Large Fragment or Tth DNA polymerase.

26. The method of claim 21, wherein the end-repair and the A-tailing reaction are performed as separate reactions, wherein a reaction clean-up step is performed after the end-repair and before the A-tailing reaction.

27. The method of claim 26, wherein the reaction clean-up step removes unincorporated dNTPs.

28. The method of claim 26 or claim 27, wherein the A-tailing is performed using a DNA polymerase that does not possess 3 ’-5’ exonuclease activity, optionally wherein the DNA polymerase is Klenow Fragment lacking 3’-5’ exonuclease activity.

29. The method of claim 21 or claim 26, wherein the A-tailing is performed using a DNA polymerase that possesses 5’-3’ exonuclease activity and / or is a strand displacing DNA polymerase.

30. The method of any one of claims 21-29, wherein the A tailing reaction is performed at a higher temperature than the end repair, optionally wherein the end repair is performed at about 15-35°C and / or the A tailing is performed at a temperature over about 60°C, further optionally wherein the temperature over 60°C is about 60°C-75°C.

31. The method of any one of claims 1-20, wherein the ligation reaction is a blunt-end ligation reaction.

32. The methods of any one of claims 21-31, wherein the ligation reaction is a sticky-end ligation reaction.

33. The method of any one of the preceding claims, wherein the modification-sensitive sequencing comprises a conversion procedure that changes the base pairing specificity of the base or does not change the base pairing specificity of the base, depending on the modification status of the base.

34. The method of claim 33, wherein the modified base is a methylated cytosine and wherein the conversion procedure converts methylated cytosines, for example wherein the conversion procedure is DM-Seq or is Tet-assisted conversion with a substituted borane reducing agent, optionally wherein the substituted borane reducing agent is 2-picoline borane, borane pyridine, tert-butylamine borane, or ammonia borane.

35. The method of claim 33, wherein the modified base is a methylated cytosine and wherein the conversion procedure converts unmethylated cytosines, for example wherein the conversion procedure is bisulfite conversion, oxidative bisulfite (Ox-BS) conversion, Tet-assisted bisulfite (TAB) conversion, APOBEC-coupled epigenetic (ACE) conversion, enzymatic methyl-seq (EM- seq), or single-enzyme 5-methylctyosine sequencing (SEM-seq).

36. The method of any one of claims 1-32, wherein the modification-sensitive sequencing comprises nanopore-based sequencing or single-molecule real time (SMRT) sequencing.

37. The method of claim 36, wherein the modification-sensitive sequencing comprises nanopore-based sequencing and wherein the at least one type of dNTP which comprises a modified base includes a dNTP comprising 4mC, a dNTP comprising 5mC, a dNTP comprising 5hmC, a dNTP comprising 6mA, a dNTP comprising BrdU, dUTP, a dNTP comprising FldU, a dNTP comprising IdU, and / or a dNTP comprising EdU.

38. The method of claim 36, wherein the modification-sensitive sequencing comprises single-molecule real time (SMRT) sequencing and wherein the at least one type of dNTP which comprises a modified base includes a dNTP comprising a 4mC, a dNTP comprising 5mC, a dNTP comprising 5hmC, a dNTP comprising 6mA, and / or a dNTP comprising 8oxoG.

39. The method of any one of the preceding claims, wherein the modified base is 5mC.

40. The method of any one of claims 1-38, wherein the modified base is 5hmC.

41. The method of any one of the preceding claims, wherein analyzing the sequence data comprises the identification of regions comprising the modified base in non-CpG sequence contexts and classifying these regions as regions that were synthesized during the end repair.

42. The method of any one of the preceding claims, wherein the modified base is other than 5mC or 5hmC.

43. The method of any one of claims 1-38, wherein the modified base is other than 5mC or 5hmC, and a repaired region is defined as:(i) the sequence between two non-modified bases spanning a modified base, wherein the bases are of the same identity to the modified bases present in the at least one type of dNTP; and / or(ii) the sequence between a non-modified base and the end of a sequence read, wherein there is no additional non-modified bases between the non-modified base and the end of the sequence read, where the non-modified bases are the same identity as the modified base present in the at least one type of dNTP.

44. The method of any one of claims 1-39, wherein the modified base is a methylated cytosine, optionally wherein the methylated cytosine is 5mC or 5hmC.

45. The method of claim 44, wherein the methylated cytosine is 5mCpH.

46. The method of any one of claims 1-41 or 44-45, wherein the modified base is a methylated cytosine, optionally wherein the methylated cytosine is 5mC or 5hmC, and a repaired region is defined as:(i) the sequence between two non-methylated cytosines which span one or more methylated CpH cytosines; and / or(ii) the sequence between a methylated CpH cytosine and an end of a sequence read, wherein the methylated CpH cytosine is the CpH cytosine most distant from the end of the sequence read, or a subsequence thereof comprising one or more methylated CpH cytosines.

47. The method of any one of the preceding claims, further comprising analyzing at least some of the sequence data corresponding to regions that are not identified as being synthesized during the end repair to detect the presence or absence of base modifications or mutations present in the DNA sample.

48. The method of any one of the preceding claims, wherein the method further comprises detecting the methylation status of cytosines in the DNA molecules, and wherein the analyzing the sequence data further comprises filtering out the one or more repaired regions of the end- repaired DNA such that the one or more repaired regions are not used to determine the methylation status of cytosines in the DNA sample.

49. The method of any one of the preceding claims, wherein the method is for detecting the single nucleotide variants (SNVs) in the DNA sample, and wherein the analyzing the sequence data further comprises classifying all base calls within the one or more repaired regions as not having double stranded support.

50. The method of any one of claims 1-2 or 9-49, wherein the method further comprises quantifying the DNA damage in the DNA sample through the identification of the one or more regions of the end-repaired DNA that were synthesized during the end repair.

51. The method of claim 50, wherein the level of DNA damage is used to predict whether or not a portion of the DNA in the DNA sample is derived from cancerous cells.

52. The method of any one of the preceding claims, wherein the DNA sample comprises cell- free DNA (cfDNA) and the method further comprises analyzing the sequence data to determine a level of measured artifacts in the cfDNA.

53. The method of claim 52, further comprising comparing the level of measured artifacts to one or more reference levels.

54. The method of claim 52 or claim 53, further comprising (i) predicting whether or not a portion of the cfDNA is derived from cancerous cells using the level of measured artifacts and / or the comparison of the level of measured artifacts to one or more reference levels or (ii) determining a likelihood that a portion of the cfDNA is derived from cancerous cells using the level of measured artifacts and / or the comparison of the level of measured artifacts to one or more reference levels.

55. The method of any one of claims 1-51, wherein the DNA sample comprises cell-free DNA (cfDNA) or DNA from formalin fixed paraffin embedded samples.

56. The method of the immediately preceding claim, wherein the DNA sample comprises cell-free DNA.

57. The method of any one of the preceding claims, wherein the DNA sample is from a subject and the method further comprises determining the presence or absence of cancer in the subject based at least in part on the sequencing data.

58. The method of any one of the preceding claims, further comprising at least one DNA amplification step, optionally wherein the DNA amplification step is performed after a step of subjecting a DNA sample to end repair and before a step of subjecting the end-repaired DNA molecules to modification-sensitive sequencing.

59. The method of the immediately preceding claim, wherein the DNA amplification step comprises PCR.

60. The method of any one of the preceding claims, wherein adapters are ligated to the end- repaired DNA molecules or the adapters are ligated to the plurality of DNA molecules.

61. The method of the immediately preceding claim, wherein the ligation reaction also seals nicks present in the end-repaired DNA.

62. The method of any one of claims 60 or 61, wherein the adapters comprise molecular barcodes.

63. The method of claim 62, wherein the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on the molecular barcodes.

64. The method of any one of the preceding claims, wherein the step of analyzing the sequencing data to identify sequencing reads that originated from the same DNA molecule is further based at least in part on the genomic start and / or stop positions of the plurality of sequencing reads.

65. The method of any one of the preceding claims, further comprising enriching the DNA for a plurality of target regions, optionally prior to a step of subjecting the end-repaired DNA molecules to modification-sensitive sequencing, or optionally prior to a step of subjecting a DNA sample comprising a plurality of DNA molecules to modification-sensitive sequencing.

66. The method of claim 65, wherein the plurality of target regions comprises epigenetic target regions.

67. The method of claim 66, wherein the epigenetic target regions comprise hypermethylation variable target regions.

68. The method of claim 66 or 67, wherein the epigenetic target regions comprise hypomethylation variable target regions.

69. The method of any one of claims 65-68, wherein the plurality of target regions comprise sequence-variable target regions.

70. The method of any one of the preceding claims, wherein sequencing reads that originated from the same end-repaired DNA strand are identified.

71. The method of any one of the preceding claims, wherein sequencing reads that originated from the same end-repaired DNA strand are identified based at least in part on the one or more locations into which the at least one dNTP comprising a modified base was incorporated.

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