Methods for Compression of Genomic Sequence Data

Abstract

The present invention relates to a reference-based method for compressing genomic sequence data generated by a sequencing machine, wherein a sequence of nucleotides or bases previously aligned to a reference sequence is determined to be completely mapped, incompletely mapped, or not mapped in the reference sequence, and then coded according to the determination. The determining step includes, for each incompletely mapped sequence, comparing the number of mismatches between the reference sequence and the reference sequence with a reference threshold value according to the result of the comparison method for compressing genomic sequence data generated by a sequencing machine, and coding the incompletely mapped sequence by a separate coding process.

Description

[Technical field]

[0001] The present disclosure provides a reference-based compression method that allows for fast compression and decompression while not causing loss of information, and has a high compression ratio. [Background technology]

[0002] Next-generation sequencing machines today generate huge amounts of sequencing data cheaply. Recent systems generate over 6 billion 150-nucleotide sequences in a single run in 36 hours, enough to sequence 20 whole human genomes. This opens up many new perspectives for the diagnosis of genetic diseases and for the development of personalized medicine, aiming to adapt treatments based on people's genomic specificities.

[0003] However, this also brings new challenges, especially the cost of storing huge amounts of data. The most used file format for raw (unaligned) sequence data is the FASTQ format, which holds the sequence data (strands of A, C, T, G nucleotides, also called reads), a quality value (the probability that for each nucleotide the sequencing platform made a sequencing error) and the sequence name. This is usually a simple ASCII text file compressed with the universal text compression scheme LZ (Lempel-Ziv scheme, implemented in the gzip software). However, the use of such compression methods presents several problems: -Low compression ratio due to data redundancy not being fully utilized -Slow compression and decompression This is accompanied by:

[0004] There are also compression methods specific to FASTQ encoding, divided into reference-based and non-reference-based methods. However, none of them are completely satisfactory, since a) reference-based methods have good compression ratios but are slow, and b) non-reference-based methods are faster but have lower compression ratios. An example of such a non-reference-based method is provided by the software SPRING, which is a reference-free compressor for FASTQ files (World Wide Web address: github.com / shubhamchandak94 / SPRING). However, the compression method provided by the software SPRING has a low compression ratio.

[0005] Among the reference-based compression methods, several methods have been proposed that use sequence alignment and aim to be faster with good compression ratios. However, such methods suffer from several problems, in particular the main challenge is that these problems are not completely eliminated. Such known reference-based compression methods are described, for example, in patent document WO 2018 / 068829(A1). In the described method, after being aligned to one or more reference sequences, the sequence of nucleotides is classified by matching degrees of accuracy (thereby creating classes of aligned reads) and then coded as syntax elements of multiple layers, using different source models and entropy coders for each layer in which the data is divided. Thus, classes of data are coded separately and composed of syntax elements of different layers, each layer containing a descriptor that uniquely represents the classified and aligned reads of that layer. The method aims to obtain separate information sources with a reduction in information entropy, thereby allowing increased compression performance and selective access to specific classes of compressed data. However, such compression methods reorder the reads in a different order than that obtained at the end of the read alignment step (i.e., the reads are reordered by their classes). Some information is then lost in the compression process, especially in the initial sequence ordering. Hence, the reproducibility of some analysis results may be affected, since some downstream analysis software may depend on the order of the reads. Besides, by decompressing the data in a different order than the initial order of the reads, it becomes much more difficult to verify that the uncompressed file is identical to the initial file. Moreover, such compression methods are relatively slow, especially when compared to state-of-the-art non-reference-based compression methods. Summary of the Invention [Means for solving the problem]

[0006] The present disclosure solves the problems of existing prior art solutions by providing a system, method, computer program, and hardware circuitry for compression of genomic sequence data. In one aspect, a computer-implemented method for compression of genomic sequence data generated by a sequencing machine, the genomic sequence data including nucleotide or base sequence reads aligned to a reference sequence, thereby creating aligned reads, the aligned reads being stored as a list of reads in an initial file, comprises: - for each aligned read, determining whether the read is completely or incompletely mapped to the reference sequence, or whether the read is not mapped to the reference sequence; - encoding the reads according to said determination, wherein the reads determined to be fully mapped are encoded by a first encoding process and the reads determined to be unmapped are encoded by a second encoding process; - determining comprises, for each incompletely mapped read, comparing the number of mismatches between the read and the reference sequence with a threshold; - in the encoding step, reads determined to be incompletely mapped are encoded by a second encoding process or a third encoding process, incompletely mapped reads are encoded by the second encoding process when the number of mismatches is greater than a threshold, and incompletely mapped reads are encoded by the third encoding process when the number of mismatches is less than a threshold; - in said second encoding process, each nucleotide or base of the read is encoded individually; - the first encoding process and the third encoding process include separate sets of descriptors, each set of descriptors uniquely indicating a lead associated with the corresponding encoding process, and each of the first encoding process and the third encoding process is an information source entropy reduction encoding process.

[0007] The present disclosure overcomes the shortcomings of conventional compression methods by allowing fast compression and decompression while not causing loss of information, and by providing high compression ratios. More specifically, the present disclosure focuses on encoding the most frequent cases in the most compact way, even if this means adopting a degraded encoding mode for the rarest and least frequent cases. This leads to a significant increase in compression performance. Moreover, due to the genomic information representation format used by the present disclosure, the compression performed by the method described herein is faster. Last but not least, the present disclosure keeps the initial order of the reads as such, and does not reorder the reads by their classes. As a result, no information is lost during the process, which allows easier downstream analysis after the decompression step and efficient consistency checks.

[0008] These and other features and advantages of the present disclosure will become more apparent from the accompanying drawings and the following detailed description. Additionally, although thresholds may be referred to herein as being exceeded or not exceeded, it is understood that such thresholds may be employed conceptually to determine whether such thresholds are met, met, or otherwise detected, regardless of whether the numbers or values ​​used to perform those threshold evaluations are described using positive or negative values.

[0009] According to one innovative aspect of the present disclosure, a method for compressing genome sequence data is disclosed.In one aspect, the method can include one or more operations through one or more computer software instructions, and the operations include: obtain a read record by one or more computers; determine by one or more computers whether the read record corresponds to a read that is completely mapped to a reference sequence or incompletely mapped to a reference sequence, based on determining by one or more computers that the read record corresponds to a read that is incompletely mapped to a reference sequence; determine by one or more computers whether the mismatch number of the incompletely mapped read meets a predetermined mismatch threshold number; and encode each mismatch of the incompletely mapped read into a record having a size of 1 byte by one or more computers, based on determining that the mismatch number meets a predetermined mismatch threshold number.

[0010] Other aspects include corresponding systems, apparatus, and computer programs for performing actions of the methods as disclosed herein as defined by instructions encoded on a computer-readable storage device.

[0011] These and other versions may optionally include one or more of the following features. For example, in some implementations, determining, by the one or more computers, whether the number of mismatches of the incompletely mapped reads satisfies a predetermined mismatch threshold number can include determining, by the one or more computers, whether the number of mismatches of the incompletely mapped reads is greater than a predetermined mismatch threshold number.

[0012] In some implementations, each read record can include data indicating the absolute start position of the aligned read with respect to a reference sequence, data indicating the length of the read, data indicating whether the read is completely or incompletely mapped, data indicating the number of mismatches identified within the read, and data indicating the relative position of each of the possible mismatches within the read.

[0013] In some implementations, encoding each mismatch of an incompletely mapped read into a record having a size of one byte includes, for each particular mismatch, encoding, by one or more computers, the first two bits of the byte to contain data indicating an alternative nucleotide or base present in the read instead of a corresponding reference nucleotide or reference base in the reference sequence, and encoding the remaining six bits of the byte to contain data indicating the position of the mismatch in the reference sequence, the position being calculated as an offset from the previous mismatch in the read.

[0014] In some implementations, the method may further include determining, by one or more computers, whether the offset is greater than a maximum codeable value, and inserting, by the one or more computers, at least one false mismatch between the particular mismatch and the preceding mismatch based on determining that the offset is greater than the maximum codeable value.

[0015] In some implementations, the method can further include, based on determining that the number of mismatches does not meet a predetermined mismatch threshold number, encoding, by one or more computers, a list of positions of the reference sequence corresponding to each position of the mismatches relative to the reference sequence using an information entropy reduction encoding process.

[0016] In some implementations, the method may further include encoding, by one or more computers, at least a portion of the read record using information entropy reduction encoding based on determining that the read record corresponds to a read that is fully mapped to the reference sequence.

[0017] In some implementations, the one or more computers may include one or more hardware processors.

[0018] In some implementations, the one or more hardware processors may include one or more field programmable gate arrays (FPGAs).

[0019] In some implementations, the method for compressing genomic sequence data can be performed by one or more hardware processors. In such implementations, the hardware processor can include a hardware processing circuit configured to perform one or more operations. In one aspect, the operation can include: obtaining a read record by the hardware processing circuit; determining by the hardware processing circuit whether the read record corresponds to a read that is completely mapped to a reference sequence or incompletely mapped to a reference sequence; determining by one or more computers whether the number of mismatches of the incompletely mapped read meets a predetermined mismatch threshold number based on the hardware processing circuit determining that the read record corresponds to a read that is incompletely mapped to a reference sequence; and encoding each mismatch of the incompletely mapped read into a record having a size of 1 byte by the hardware processing circuit based on the determination that the number of mismatches meets the predetermined mismatch threshold number.

[0020] In some implementations, each read record may include data indicating the absolute start position of the aligned read with respect to a reference sequence, data indicating the length of the read, data indicating whether the read is completely or incompletely mapped, data indicating the number of mismatches identified within the read, and data indicating the relative positions of the possible mismatches within the read.

[0021] In some implementations, determining by the hardware processing circuitry whether the number of mismatches of the incompletely mapped reads meets a predetermined mismatch threshold number can include determining by the hardware processing circuitry whether the number of mismatches of the incompletely mapped reads is greater than a predetermined mismatch threshold number.

[0022] In some implementations, encoding each mismatch of an incompletely mapped read into a record having a size of one byte can include, for each particular mismatch encoding, encoding by a hardware processing circuit the first two bits of the byte to contain data indicating an alternative nucleotide or base present in the read instead of a corresponding reference nucleotide or reference base in the reference sequence, and encoding the remaining six bits of the byte to contain data indicating the position of the mismatch in the reference sequence, the position being calculated as an offset from the preceding mismatch in the read.

[0023] In some implementations, the hardware processor circuitry is further configured to perform operations including: determining, by one or more hardware processing circuits, whether the offset is greater than a maximum codeable value; and, based on determining that the offset is greater than the maximum codeable value, inserting, by the hardware processing circuitry, at least one false mismatch between the particular mismatch and the preceding mismatch.

[0024] In some implementations, the hardware processor circuitry is further configured to perform an operation including, based on determining that the number of mismatches does not meet a predetermined mismatch threshold number, encoding, by the hardware processing circuitry, a list of positions of the reference sequence corresponding to each position of the mismatches relative to the reference sequence using an information entropy reduction encoding process.

[0025] In some implementations, the hardware processor circuitry is further configured to perform an operation including, based on determining that the read record corresponds to a read that is fully mapped to the reference sequence, encoding at least a portion of the read record using information entropy reduction encoding by the hardware processing circuitry.

[0026] In some implementations, the hardware processing circuitry includes one or more field programmable gate arrays (FPGAs).

[0027] According to another innovative aspect of the present disclosure, a method for compressing genome sequence data is disclosed. In one aspect, the method includes the following operations: accessing, by one or more processors, a storage device that stores a plurality of read records in a manner that preserves the sequence ordering of the read records generated by the mapping and alignment module; for each particular read record of the plurality of read records, obtaining, by one or more processors, the particular read record; determining, by one or more processors, whether the particular read record corresponds to a read that is completely mapped to a reference sequence or a read that is incompletely mapped to a reference sequence; based on determining, by one or more processors, that the particular read record corresponds to a read that is incompletely mapped to a reference sequence, determining, by one or more processors, whether the incompletely mapped read meets a predetermined mismatch threshold number; based on determining that the mismatch number meets the predetermined mismatch threshold number, encoding, by one or more processors, each mismatch of the incompletely mapped read into a compressed record having a predetermined compressed record size; and storing, by one or more processors, the compressed record in the storage device while maintaining the sequence ordering of the read records.

[0028] Other aspects include corresponding systems, apparatus, and computer programs for performing actions of the methods as disclosed herein as defined by instructions encoded on a computer-readable storage device.

[0029] These and other versions may optionally include one or more of the following features: For example, in some implementations, each read record of the plurality of read records may include data indicating an absolute starting position of the aligned read with respect to a reference sequence, data indicating a length of the read, data indicating whether the read is fully or incompletely mapped, data indicating a number of mismatches identified in the read, data indicating whether the read includes at least one undetermined base N, data indicating the number of undetermined bases N in the read, data indicating whether the read is mapped or unmapped, data indicating a position of the read record in an array of read records output by the mapping and alignment module, and data indicating a relative position of the possible mismatch in the read.

[0030] In some implementations, the predetermined compressed record size is 1 byte.

[0031] In some implementations, n-coding each mismatch of an incompletely mapped read into a record having a size of one byte can include, for each particular mismatch encoding, encoding, by one or more computers, the first two bits of the byte to contain data indicating an alternative nucleotide or base present in the read instead of a corresponding reference nucleotide or base in the reference sequence, and encoding, by one or more processors, the remaining six bits of the byte to contain data indicating the position of the mismatch in the reference sequence, the position being calculated as an offset from the preceding mismatch in the read.

[0032] In some implementations, the method may further include determining, by the one or more processors, whether the offset is greater than a maximum codeable value, and inserting, by the one or more processors, at least one false mismatch between the particular mismatch and the preceding mismatch based on determining that the offset is greater than the maximum codeable value.

[0033] In some implementations, the method may further include, based on determining that the number of mismatches does not meet a predetermined mismatch threshold number, encoding, by one or more processors, a list of positions of the reference sequence corresponding to each position of the mismatches relative to the reference sequence using an information entropy reduction encoding process.

[0034] In some implementations, the method may further include encoding, by one or more processors, at least a portion of the read record using information entropy reduction encoding based on determining that the read record corresponds to a read that is fully mapped to the reference sequence.

[0035] In some implementations, determining, by the one or more computers, whether the number of mismatches of the incompletely mapped reads meets a predetermined mismatch threshold number can include determining, by the one or more processors, whether the number of mismatches of the incompletely mapped reads is greater than a reference threshold number.

[0036] According to another innovative aspect of the present disclosure, a hardware processor is disclosed. In one aspect, the hardware processor can include hardware processing circuitry configured to perform one or more operations. In one aspect, the operations configured to be performed by the hardware processing circuit include: accessing, by the hardware processing circuit, a storage device that stores a plurality of read records in a manner that preserves the sequence ordering of the read records generated by the mapping and alignment module; for each particular read record of the plurality of read records, obtaining, by the hardware processing circuit, the particular read record; determining, by the hardware processing circuit, whether the particular read record corresponds to a read that is completely mapped to the reference sequence or to an incompletely mapped read to the reference sequence; based on determining, by the hardware processing circuit, that the particular read record corresponds to a read that is incompletely mapped to the reference sequence, determining, by the hardware processing circuit, whether the incompletely mapped read meets a predetermined mismatch threshold number; based on determining that the number of mismatches meets the predetermined mismatch threshold number, encoding, by the hardware processing circuit, each mismatch of the incompletely mapped read into a compressed record having a predetermined compressed record size; and storing, by the hardware processing circuit, the compressed record in the storage device while maintaining the sequence ordering of the read records.

[0037] These and other versions may optionally include one or more of the following features: For example, in some implementations, each read record of the multiple read records accessible by the hardware processing circuitry may include data indicating the absolute start position of the aligned read with respect to the reference sequence, data indicating the length of the read, data indicating whether the read is fully or incompletely mapped, data indicating the number of mismatches identified in the read, data indicating whether the read includes at least one undetermined base N, data indicating the number of undetermined bases N in the read, data indicating whether the read is mapped or unmapped, data indicating the position of the read record in the array of read records output by the mapping and alignment module, and data indicating the relative position of the possible mismatch in the read.

[0038] In some implementations, the predetermined compressed record size generated by the hardware processing circuitry may be 1 byte.

[0039] In some implementations, encoding each mismatch of an incompletely mapped read into a compressed record having a size of one byte can include, for each particular mismatch encoding, encoding by a hardware processing circuit the first two bits of the byte to contain data indicating an alternative nucleotide or base present in the read instead of a corresponding reference nucleotide or reference base in the reference sequence, and encoding the remaining six bits of the byte to contain data indicating the position of the mismatch in the reference sequence, the position being calculated as an offset from the preceding mismatch in the read.

[0040] In some implementations, the hardware processor may be further configured to include a hardware processing circuit configured to perform operations including determining whether the offset is greater than a maximum encodable value and, based on determining that the offset is greater than the maximum encoded value, inserting, by the hardware processing circuit, at least one false mismatch between the particular mismatch and the preceding mismatch.

[0041] In some implementations, the hardware processor may be further configured to include a hardware processing circuit configured to perform an operation including, based on determining that the number of mismatches does not meet a predetermined mismatch threshold number, encoding, by the hardware processing circuit, a list of positions of the reference sequence corresponding to each position of the mismatches relative to the reference sequence using an information entropy reduction encoding process.

[0042] In some implementations, the hardware processor may be further configured to include a hardware processing circuit configured to perform an operation including encoding, by the hardware processing circuit, at least a portion of the read record using information entropy reduction encoding based on determining that the read record corresponds to a read that is fully mapped to the reference sequence.

[0043] In some implementations, determining whether the number of mismatches of the incompletely mapped reads meets a predetermined mismatch threshold number by the hardware processing circuitry comprises: Determining, by a hardware processing circuit, whether the number of mismatches of the incompletely mapped reads is greater than a predetermined mismatch threshold number.

[0044] According to another innovative aspect of the present disclosure, there is provided a computer-implemented method for compressing genomic sequence data generated by a sequencing machine, the genomic sequence data including nucleotide or base sequence reads aligned to a reference sequence, thereby creating aligned reads, the aligned reads being stored as a list of reads in an initial file. In one aspect, the method may include the actions of determining, for each aligned read, whether the read is completely or incompletely mapped to the reference sequence, or whether the read is not mapped to the reference sequence, and encoding the read according to the determination, wherein the reads determined to be completely mapped are encoded by a first encoding process, and the reads determined to be not mapped are encoded by a second encoding process, the determining step including, for each incompletely mapped read, comparing a number of mismatches between the read and the reference sequence to a threshold, and wherein the encoding step includes determining the reads to be incompletely mapped to a threshold. The incompletely mapped reads are encoded by a second encoding process or a third encoding process, where if the number of mismatches is greater than a threshold, the incompletely mapped reads are encoded by a second encoding process, and if the number of mismatches is less than a threshold, the incompletely mapped reads are encoded by a third encoding process, where in the second encoding process, each nucleotide or base of the read is encoded individually, where the first encoding process and the third encoding process include separate sets of descriptors, where each set of descriptors uniquely represents the read associated with the corresponding encoding process, and where each of the first encoding process and the third encoding process is an information source entropy reduction encoding process.

[0045] Other aspects include corresponding systems, apparatus, and computer programs for performing actions of the methods as disclosed herein as defined by instructions encoded on a computer-readable storage device.

[0046] These and other versions may optionally include one or more of the following features: For example, in some implementations, the determining step may include a further determination as to whether a read is globally or locally mapped with a reference sequence when the read is determined to be incompletely mapped with the reference sequence and has a number of mismatches less than a threshold, the third encoding process includes a first encoding sub-process and a second encoding sub-process, the reads determined to be globally mapped are encoded by the first encoding sub-process and the reads determined to be locally mapped are encoded by the second encoding sub-process, the first encoding sub-process and the second encoding sub-process include separate sets of descriptors, each set of descriptors uniquely representing the reads associated with the corresponding encoding sub-process.

[0047] In some implementations, the descriptor of the first encoding sub-process may include an alignment start position in the reference sequence, a read length, and a list of mismatches due to symbol substitution, and the descriptor of the second encoding sub-process includes a local alignment start position in the reference sequence, a read length, a list of mismatches due to symbol substitution, and the length of the clipped portion of the read that is not part of the alignment.

[0048] In some implementations, in the encoding step, the clipped portions of the reads to be encoded by the second encoding sub-process are concatenated and each nucleotide or base of the clipped portions is encoded individually.

[0049] In some implementations, in the encoding step, each mismatch of an incompletely mapped read is encoded into one byte.

[0050] In some implementations, in the encoding step, each mismatch in an incompletely mapped read is encoded by using the two first bits of a byte to encode an alternative nucleotide or base present in the read instead of the corresponding reference nucleotide or base in the reference sequence, and the six last bits of the byte to encode the position of the mismatch in the reference sequence, which is calculated as an offset from the previous mismatch in the read.

[0051] In some implementations, in the encoding step, if the offset calculated between the given mismatch and the preceding mismatch is greater than the maximum codeable value, at least one false mismatch is inserted between the two mismatches until every offset between each of the mismatches and the at least one false mismatch is lower than the maximum codeable value, and a false mismatch is defined as a mismatch in which a bit of a byte is used to code the mismatch or to code a nucleotide or base that is equal to the corresponding reference nucleotide or reference base in the reference sequence.

[0052] In some implementations, the initial step is to divide the list of reads into blocks of reads, each block beginning with a header containing information needed to decode the block, and the compression method is performed block by block.

[0053] In some implementations, the blocks of reads have the same block size.

[0054] In some implementations, the final step of providing a compressed file includes a list of encoded reads, which are stored in the compressed file in the same order as the reads were stored in the initial file.

[0055] In some implementations, the threshold is equal to 31.

[0056] In some implementations, for each aligned read, determining whether the read contains at least one mismatch, corresponding to a case where the sequencing machine was unable to call any base or nucleotide.

[0057] In some implementations, for each read containing at least one mismatch, corresponding to a case where the sequencing machine was unable to call any base or nucleotide, determining the number of such mismatches and comparing the number to a reference threshold.

[0058] In some implementations, in the encoding step, if the number of such mismatches is greater than the reference threshold, each nucleotide or base of the read to be encoded by the second encoding process is individually coded into 4 bits, and if the number of such mismatches is less than the reference threshold, each nucleotide or base of the read to be encoded by the second encoding process is individually coded into 2 bits, and the encoding step further includes coding a list of positions along the reference sequence, which positions correspond to the positions of such mismatches in the reference sequence. [Brief description of the drawings]

[0059] [Figure 1] FIG. 1 is a flow diagram illustrating an example of a method described herein. [Figure 1A] FIG. 2 is a flow diagram illustrating a more detailed example of the compression method of FIG. [Diagram 2] FIG. 1 illustrates an example of a system for implementing one or more of the compression methods described herein. [Figure 2A] FIG. 2 illustrates another example of a system for implementing the compression methods described herein. [Figure 2B] FIG. 2 illustrates another example of a system for implementing the compression methods described herein. [Diagram 3] FIG. 1 is a schematic diagram showing a first example of reads globally mapped with a reference sequence. [Figure 4] FIG. 1 is a schematic diagram showing a second example of globally mapped reads with a reference sequence, when a false mismatch must be inserted. [Diagram 5] FIG. 2 is a diagram of an example of computing components that can be used to implement a system that performs the compression methods of FIGS. 1 and 1A. [Figure 6] FIG. 1 is a multiple bar graph showing experimental results of the present disclosure. [Figure 7] FIG. 13 is a series of bar graphs showing additional experimental results of the present disclosure. [Figure 8] FIG. 13 is a series of bar graphs showing additional experimental results of the present disclosure. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0060] Genomic sequences referred to by the present disclosure include, for example and without limitation, nucleotide sequences, deoxyribonucleic acid (DNA) sequences, ribonucleic acid (RNA) sequences, and amino acid sequences. Although the present disclosure is described in considerable detail herein with respect to genomic information in the form of nucleotide sequences, it will be understood that the compression methods according to the present invention can be implemented with other genomic sequences, with some variations, as will be appreciated by those skilled in the art.

[0061] Genomic sequencing information is generated by a sequencing machine in the form of a sequence of nucleotides (or more generally, bases) represented by a character string from a defined vocabulary. The smallest vocabulary is represented by five symbols (A, C, G, T, N) representing the four types of nucleotides present in DNA, namely adenine, cytosine, guanine, and thymine. In RNA, thymine is replaced by uracil (U). N indicates that the sequencing machine was not able to call any base, and therefore the identity of that position is not determined. Thus, for the purposes of this disclosure, the symbol "N" refers to an undetermined base, and the number of "N"s in a read refers to the number of undetermined bases in the read.

[0062] Nucleotide sequences generated by a sequencing machine can be called "reads". Sequence reads can be tens to thousands of nucleotides long. Some techniques generate sequence reads in pairs, where the first read of the pair is from one DNA strand and the second read of the pair is from the other DNA strand. Throughout this disclosure, a "reference sequence" is any sequence to which a read composed of a nucleotide or base sequence generated by a sequencing machine can be aligned / mapped. An example of such a reference sequence may actually be a reference genome, i.e., a sequence assembled by a scientist as a representative example of a set of genetic species. However, a reference sequence may also consist of a synthetic sequence created simply to improve the compressibility of the reads in light of further processing of the reads.

[0063] In some cases, the sequencing machine may introduce errors into the sequence reads, in particular the use of the wrong symbols to represent (i.e., represent different nucleic acids) nucleic acids or bases that are actually present in the sequenced sample. This type of substitution error may ultimately be identified as a "mismatch" by the mapping and alignment module. This is because the substitution error in the read may not match the corresponding location in the reference sequence when the read is aligned to the reference sequence. However, the meaning of "mismatch" is not limited to such scenarios. Instead, a "mismatch" may be any base or nucleotide in the read called by the sequencing device that does not match the corresponding location in the reference sequence when the read is aligned to the reference sequence with a threshold level of accuracy. Such mismatches may include candidate variants, variants, or other differences between the aligned read and the location of the reference sequence.

[0064] The present disclosure relates to a reference-based compression method that receives as input nucleotide or base sequence reads, where such reads have already been aligned to a reference sequence by a mapping and alignment module, thereby creating aligned reads. In some implementations, the already aligned reads can include reads that have been aligned using a software mapping and alignment module that performs mapping and alignment of the received reads to a reference sequence. For example, in some implementations, a software mapper can perform hash table-based mapping and alignment of the received reads by executing software instructions using one or more processors, such as one or more central processing units (CPUs), one or more graphical processing units (GPUs), or any combination thereof. In other implementations, the already aligned reads can include reads that have been aligned using a hardware mapping and alignment module that performs mapping and alignment of the received reads to a reference sequence. For example, in some implementations, the hardware mapping and alignment module can perform the hash table-based mapping and alignment by using one or more hardware processors, such as one or more field programmable gate arrays (FPGAs) having hard-wired digital logic circuits configured to perform hash table-based mapping and alignment of received reads.

[0065] The aligned reads are then stored as a list of reads in an initial file. The method of aligning the reads and storing the reads in the initial file once aligned is not important to the invention and is not the object of this disclosure. Each read is then coded as a list of its position on the reference sequence and its difference from the reference sequence. Each read can then be reconstructed from the alignment coding information and the reference sequence by suitable decompression software configured as described herein by the present disclosure.

[0066] In some implementations, the compression module of the present disclosure can be implemented to process and compress aligned reads through the execution of software instructions by one or more CPUs or GPUs, through the execution of wired digital logic circuits of one or more hardware processors, or a combination of both. Reads can be aligned to a reference sequence before compression of the reads without considering certain types of errors introduced into the sequence reads, such as insertion errors or deletion errors. An insertion error consists in the insertion in one sequence read of one or more additional symbols that do not refer to any nucleic acid actually present. A deletion error consists in the deletion from one or more sequence reads consisting of one or more symbols that represent a nucleic acid actually present in the sequenced sample. More precisely, in the case of an insertion or deletion error in a given sequence read, the alignment software will consider the resulting erroneous nucleic acid as a substitution error, also called a "mismatch". This preferential selection of the alignment software configuration allows for a faster subsequent encoding, providing a better compromise between speed and compression ratio.

[0067] For each aligned read, the mapping and alignment module can generate and provide a read record. In some implementations, each read record can be provided directly from the mapping and alignment module as an input to the compression module. In other implementations, each read record generated by the mapping and alignment module can be output and stored in a memory or other storage device. In such implementations, the compression module can later access the stored read record and compress the stored read record.

[0068] Each read record generated, provided, or stored by the mapping and alignment module includes data generated by the mapping and alignment module that describes the read represented by the read record. Such a read record may include at least the following information: absolute start position of the aligned read with respect to a reference sequence, length of the read, type of alignment of the read, such as whether the read is a mapped or unmapped read, number of mismatches identified in the read, an indication as to whether the read is fully or incompletely mapped, relative positions of such possible mismatches within the read, etc.

[0069] Although the examples described herein show that the data in the lead records and the data contained therein are generated by the mapping and alignment module, the present disclosure is not so limited. Instead, other intermediate modules between the mapping and alignment module and the compression module can be used to generate the lead records and the data contained therein.

[0070] In some implementations, the read records provided or stored by the mapping and alignment module can be provided or stored in a manner that preserves the sequential ordering of the read records generated by the mapping and alignment module. In some implementations, for example, each read record can also include data indicating the read record arrangement in the sequential ordering of the read records. Such data indicating the read record arrangement can include, for example, an array_id. In some implementations, this array_id can be, for example, a number starting with "1" for the first read record generated by the mapping and alignment module, which is then incremented for each subsequent read record generated by the mapping and alignment module. The compression module of the present disclosure can then access these read records and compress them in their current sequential order without having to reorder these read records into clusters of read records for compression. Compressing the read records in a manner that preserves the initial ordering of the read records as generated by the mapping and alignment module provides an advantage over conventional methods by allowing lossless compression of the read records, since even the sequential ordering of the read records is preserved. Additionally, preserving the order of the lead records during compression also makes the compression of the lead records easier to verify.

[0071] The compression method of the present disclosure will now be described with reference to Fig. 1. In some implementations, for example, the method can be performed by an apparatus 20 shown in Fig. 2. The apparatus 20 can comprise at least one processor 22 and at least one memory 24 operably coupled to the at least one processor 22 to form a computing device. The memory 24 may store computer program code or software 26 including computer executable instructions that, when executed by the processor 22, cause the processor 22 to perform operations of a compression module, including performing stages related to one or more of the compression methods described herein. However, the present disclosure need not be limited to being implemented by the apparatus 20.

[0072] For example, in some implementations, the compression method of the present disclosure can be implemented by the device 20A shown in FIG. 2A. The device 20A is similar to the device 20 in that the device 20A also comprises a processor 22 and at least one memory 24 operably coupled to the at least one processor 22 to form a computing device. The memory 24 of the device 20A also stores computer program code or software 26 including computer executable instructions that, when executed by the processor 22, cause the processor 22 to perform operations including one or more stages of the compression method described herein. However, in addition, the device 20A also comprises computer program code or software 28 including computer executable instructions that, when executed by the processor 22, cause the processor 22 to perform operations to implement the functionality of a mapping and alignment module. The mapping and alignment module, whose functionality is implemented via the execution of computer software instructions, can generate one or more aligned reads 29 and store the aligned reads 29 in the memory 24. The processor 22 can then execute software instructions 26 of the compression module to access one or more of the aligned reads 29 and compress the one or more aligned reads 29 using one or more stages of the compression method described herein. In some implementations, the apparatus 20A can be a nucleic acid sequencing device.

[0073] As another example, in some implementations, the compression method of the present disclosure can be implemented by the device 20B shown in FIG. 2B. The device 20B differs from the device 20 in that the device 20B includes one or more hardware processors 22B, such as one or more field programmable gate arrays (FPGAs). In this example, the one or more hardware processors can implement the functionality of one or more stages of the compression method described herein and the mapping and alignment module in the hardware circuitry of the one or more hardware processors 22B. For example, the hardware processor 22B can include a hardwired digital logic circuit 26B configured as a compression module for performing one or more stages of the compression method described herein. Similarly, the hardware processor 22B can include a hardwired digital logic circuit 28B configured to perform operations of the mapping and alignment module configured to generate aligned reads 29B and store the aligned reads 29B in the memory 24. A digital hardwired logic circuit 26B configured as a compression module for implementing the functionality of one or more stages of the compression method described herein can access the aligned reads 29B from the memory 24 and compress the aligned reads 29B using the compression method described herein. In some implementations, the device 20B can be a nucleic acid sequencing device. An initial file in which the aligned read records are stored as a list of reads is stored, for example, in the memory of the device 20. In some implementations, the list of reads can include a plurality of aligned read records stored in the memory of the device in a manner that preserves the sequence ordering of the read records as generated by the mapping and alignment module. This sequence ordering of the aligned read records can be the same order as obtained at the end of the mapping and alignment stage.

[0074] In some implementations, the initial list of aligned reads can be divided into blocks of reads. For example, in some implementations, the list of aligned reads can be divided into blocks of 50000 reads. However, this particular value of blocks of 50000 reads should not be construed as limiting the scope of the present disclosure, as implementations of the present disclosure can be accomplished in the same manner using other values.

[0075] In some implementations, the blocks of reads can have the same block size. However, in other implementations, the blocks of reads can have various block sizes. In any case, each block of reads can start with a header that contains the information necessary to decode the block, such as, for example, the size in bytes of the block's contents, and / or an identifier of the block or its contents, and / or the number of reads contained in the block. This allows support for concatenation of compressed files, and streaming capabilities (each block of reads contains all the information necessary to decode the reads of the block). In addition, this also allows multi-threaded processing on the blocks of reads, since the compression method can then run any number of blocks, thereby allowing parallelization and some resulting gain in processing time. If all the reads of a given block have the same length, the read lengths are also stored in the header, otherwise a list of each read length is explicitly stored during the compression method.

[0076] Returning to FIG. 1, the method preferably includes an initial stage 2 in which the device retrieves aligned read records from the memory of the device 20, 20A, or 20B. In some implementations, this initial stage may include the device accessing a memory or other storage device that stores multiple read records in a manner that preserves the sequence ordering of the read records generated by the mapping and alignment module. For example, the device may determine the next read record for compression based on the sequence_id of the preceding read record in the memory and the sequence_id of one or more other read record stores. In some implementations, the sequence_id may be a number that increments for each subsequent read record generated by the mapping and alignment module, and the compression module may maintain a counter that increments at each iteration of the compression process of FIG. 1 and provide an indication as to the next read record to be accessed in stage 2.

[0077] Each read record contains information about the type of alignment of the read. The information about the type of alignment of the read can include any information that describes the level of mapping and alignment of the read to the reference genome. In some implementations, the type of alignment can include a complete alignment, an incomplete alignment, or an "unmapped" read alignment. A "complete alignment" or a "fully mapped read" can include a read in which each nucleotide of the read maps and aligns to a portion of the reference genome. In some implementations, a "complete alignment" or a "fully mapped read" can have 0 mismatches and 0 undetermined bases "N". In other implementations, a "complete alignment" or a "fully mapped" read can have 0 mismatches, but possibly one or more undetermined bases "N". In general, the definition of an "incomplete alignment" or an "incompletely mapped read" depends on the meaning of a "fully mapped read" implemented in a particular implementation of the compression method described herein. For example, if an implementation is used in which a fully mapped read may contain 0 mismatches and 0 undetermined bases N, then an "incomplete alignment" or "incompletely mapped read" refers to any read that matches at least a portion of a reference sequence and includes at least one mismatch or at least one N. However, if an implementation is used in which a fully mapped read may contain 0 mismatches for one or more Ns, then an "incomplete alignment" or "incompletely mapped read" refers to any read in which a portion of the read matches a portion of a reference sequence but has at least one mismatch other than the undisclosed base N (according to this other definition of an incompletely mapped read, an incompletely mapped read may contain one or more Ns, provided that the read also contains one or more other mismatches).Thus, how any particular system or implementation is configured to recognize completely mapped reads will determine the meaning of incompletely mapped reads for that implementation. An "unmapped read" can include a read that has not been mapped or aligned to a reference genome.

[0078] In some implementations, each lead record includes a number of bit flags that describe attributes of the lead. In some implementations, the number of bit flags can be stored using one or more fields at the beginning of the lead record. However, in other implementations, other fields of the lead record can be used to store the number of bit flags. Each bit flag of the number of bit flags can indicate the value of its corresponding lead attribute using one of a number of values. In some implementations, the following bit flags are used to indicate the value of the lead attribute for the lead record: - a first bit flag indicating forward or reverse orientation with respect to the reference sequence; - a second bit flag indicating perfect alignment or not, - a third bit flag indicating whether the read contains at least one N; a fourth bit flag indicating whether the position information is coded in 16 or 32 bits; - a fifth bit flag indicating whether the read is mapped or unmapped; can be used.

[0079] Stages 4-12 below are performed for each read of the plurality of reads. If the reads are grouped into blocks, stages 4-12 are performed for each read of each block of reads.

[0080] The compression method of the present disclosure may include a next stage 4 in which the apparatus 20, 20A, or 20B determines for each aligned read whether the read is fully mapped to the reference sequence, incompletely mapped to the reference sequence, or not mapped to the reference sequence. In some implementations, the apparatus 20, 20A, 20B may determine whether the read is fully mapped, incompletely mapped, or not mapped based on information received from the mapping and alignment module. This information may include, for example, information such as whether the read represented by the acquired read record is mapped or not mapped, whether the read represented by the read record is fully mapped or incompletely mapped, an indication of the total number of mismatches, such as variants or sequencing errors, undetermined bases, or any combination thereof. In some implementations, this information may be included within the acquired read record itself.

[0081] In some implementations, the apparatus 20, 20A, or 20B may first determine whether the aligned reads were mapped or unmapped. If the apparatus 20, 20A, or 20B determines that the aligned reads were unmapped, the apparatus may continue to perform the process of FIG. 1 at stage 6. Alternatively, if the apparatus 20, 20A, or 20B determines that the reads were mapped, the apparatus 20, 20A, or 20B may determine whether the reads were incompletely mapped or fully mapped.

[0082] In some implementations, the apparatus 20, 20A, or 20B can determine whether a read is incompletely mapped or fully mapped by evaluating the number of total mismatches in the read. In some implementations, this total mismatch number can be provided by a mapping and alignment module and obtained from the acquired read record. In such implementations, if the apparatus 20, 20A, or 20B determines that the total mismatch number is equal to 0, the apparatus 20, 20A, or 20B can determine at stage 4 that the acquired aligned read is a fully mapped read and can continue to perform the process of FIG. 1 at stage 6. Alternatively, if the apparatus 20, 20A, or 20B determines at stage 4 that the total mismatch number is greater than 0, the apparatus 20, 20A, or 20B can determine at stage 4 that the read corresponding to the read record is an incompletely mapped read and the apparatus 20, 20A, or 20B can continue to perform the process of FIG. 1 at stage 6.

[0083] However, it should be noted that the preceding implementations are merely examples of how the device 20, 20A, or 20B may determine whether an aligned read record is fully mapped, incompletely mapped, or not mapped. For example, in some implementations, such a determination may be made based on information contained in the acquired read record without comparing the mismatch count to a zero threshold. As an example, the read record may maintain a bit flag in the header or other portion of the read record that indicates whether the read is mapped or not mapped, fully mapped, incompletely mapped, etc. In such implementations, the device 20, 20A, or 20B may make a determination in stage 4 as to whether the aligned read record is mapped, not mapped, fully mapped, or not completely mapped based on the bit flag in the acquired read record without comparing the mismatch count to a zero threshold. Other implementations are also within the scope of the present disclosure. For example, it is conceivable that an implementation could be employed that can access information stored in a data structure other than the acquired read record to read bit flags, or other data, and take that information into account to indicate whether a particular read record is mapped, not mapped, completely mapped, or incompletely mapped.

[0084] In some implementations, the determining step 4 may further include comparing 4a, for each incompletely mapped read, the number of mismatches between the read sequence and the reference sequence to a threshold value. This may include a total mismatch count, with the total mismatch count including the sum of any differences between the aligned read and the reference sequence including variants, sequencing errors, and undetermined base N. In some implementations, the mismatch count may be provided by the mapping and alignment module and obtained from the read record.

[0085] In some implementations, the threshold may be 31. This particular value may be selected to provide the best possible compromise to store the mismatch count in a sufficiently compact manner, as will be better understood later with respect to stage 12. In fact, it has been statistically observed that in the majority of cases, incompletely mapped reads have less than 31 mismatches. The rationale behind the selection is to encode the most frequent cases in the most compact way while still having some very few reduced cases. However, while in some implementations, such as implementations of short reads where the reads are approximately 150 nucleotides or bases in length, it may be advantageous to use a threshold of 31 mismatches, the present disclosure is not limited to only those implementations where the threshold is equal to 31. Instead, in other implementations, it may be desirable to use a threshold higher than 31. For example, while the embodiment (e.g., a threshold of 31 mismatches) may be intended to be useful for compressing read records representing reads generated by short read sequencers, it is contemplated that the genomic data compression method of the present invention may be used in other implementations, such as compressing read records generated by long read sequencers. Thus, in such implementations, where the reads are represented by read records significantly longer than 150 nucleotides or bases in length, the threshold can be set to a value higher than 31 to enable functionality of the compression methods of the present disclosure for long read systems.

[0086] If the read is determined to be incompletely mapped with a mismatch number less than a threshold, decision stage 4 may also include an additional decision as to whether the read is globally or locally mapped with the reference sequence. A "globally mapped read" is an incompletely mapped read in which the entire sequence, including the start and end of the read, is incompletely mapped with the reference sequence. A "locally mapped read" is an incompletely mapped read that contains a segment of nucleotides or bases that are incompletely mapped with the reference sequence. Thus, the segment of nucleotides or bases corresponds to a portion of the initial read.

[0087] In some implementations, the compression method may further include a stage 6 of determining, for each aligned read, whether the read contains at least one undetermined base "N", i.e., whether the read contains at least one mismatch corresponding to an instance where the sequencing machine was unable to call any base or nucleotide. The method then includes a stage 8 of determining, for each read containing at least one "N", the number of such undetermined bases "N", and a stage 10 of comparing the number of undetermined bases "N" to a reference threshold. In some implementations, the reference threshold may be equal to 31. However, in other implementations, other reference thresholds may be set to other values.

[0088] Whatever the outcome of the decision stage 4, the method includes a next stage 12 of encoding the reads according to said decision. More precisely, reads determined to be completely mapped with the reference sequence, whether they contain no undetermined bases "N" or have a number of undetermined bases "N" smaller than the reference threshold, are encoded by a first encoding process. Reads determined to be unmapped or completely mapped with a number of undetermined bases "N" larger than the reference threshold are encoded by a second encoding process in which each nucleotide or base is encoded individually, regardless of whether said nucleotide or base is aligned or unaligned. Reads determined to be incompletely mapped are encoded by a second encoding process or a third encoding process. More precisely, reads determined to be incompletely mapped with a number of mismatches larger than the threshold are encoded by a second encoding process. If a read is determined to be incompletely mapped with a number of mismatches less than the threshold, if the read does not contain N or has a number of N less than the reference threshold, the read is coded by a third coding process, otherwise, i.e., if the read has a number of N greater than the reference threshold, the read is coded by a second coding process.

[0089] Whether a given read is determined to be fully mapped, incompletely mapped or not mapped, if the read contains at least one N but has a number of N less than the reference threshold, the encoding stage 12 includes encoding a list of positions along the reference sequence, which positions correspond to the positions of N in the reference sequence. The list of positions is then stored in a memory of a computing device, which implements a compression method. If the read contains at least one N but has a number of N less than the reference threshold and is to be encoded by the second encoding process, each nucleotide or base of the read is encoded individually with two bits.

[0090] If a read contains at least one N, but has a number of Ns greater than the reference threshold, the read is in any case encoded by a second encoding process, in which each nucleotide or base of the read is encoded individually with 4 bits. In this case, the encoding stage 12 does not involve encoding and storing a list of the positions of Ns in the reference sequence. In fact, each N mismatch is directly encoded by the second encoding process in much the same way as the other nucleotides or bases of the read.

[0091] The first and third encoding processes include a separate set of descriptors, each of which uniquely represents a read associated with the corresponding encoding process, and each of the first and third encoding processes is an information entropy reduction encoding process. More precisely, the third encoding process includes a first encoding sub-process and a second encoding sub-process. The incompletely mapped reads determined to be globally mapped during stage 4 are encoded by the first encoding sub-process. The incompletely mapped reads determined to be locally mapped during stage 4 are encoded by the second encoding sub-process. The first and second encoding sub-processes include a separate set of descriptors, each of which uniquely represents a read associated with the corresponding encoding sub-process.

[0092] The alignment information that is encoded for each read and that allows reconstruction of the entire read sequence during data decompression then depends on the corresponding encoding process or sub-process used for that read.

[0093] For example, in some implementations, the first set of descriptors used for the first encoding process may be: the absolute start position of the fully mapped read with respect to the reference sequence (encoded as 16 or 32 bits); the length of the read (encoded with differential coding relative to the length of the preceding read, with a variable length code ranging from 2 bits to 34 bits); may include.

[0094] As another example, in some implementations, the second set of descriptors used for the first encoding sub-process may include: the absolute start position of the incompletely mapped read with respect to the reference sequence (encoded as 16 or 32 bits); the length of the read (encoded with differential coding relative to the length of the preceding read, with a variable length code ranging from 2 bits to 34 bits); A list of lead mismatches and may include.

[0095] As another example, in some implementations, the third set of descriptors used for the second encoding sub-process may include: the absolute start position of the incompletely mapped portion of the read with respect to the reference sequence, also called the local alignment start position (encoded as 16 or 32 bits); the length of the read (encoded with differential coding relative to the length of the preceding read, with a variable length code ranging from 2 bits to 34 bits); A list of lead mismatches and the length of the clipped parts of the reads that are not part of the alignment (encoded with 8 bits for each clipped part); may include.

[0096] Preferably, the list of mismatches encoded in the first and second sub-processes may include a header. For example, in some implementations, the header may be encoded using bit flags and may be encoded in a single byte. In such implementations, the first five bits of the single byte header may be used to encode the number of mismatches contained in the read. In implementations where the threshold is equal to 31, the number of mismatches may range from 0 to 31. One bit of the single byte header may be used to encode whether the incompletely mapped read is globally or locally mapped. Another bit of the single byte header may be used to encode whether a 2-bit mode is enabled for the second encoding process. The last bit of the single byte header may be used to encode whether a 4-bit mode is enabled for the second encoding process. In some implementations, for each read encoded by the second encoding sub-process during the encoding stage 12, the clipped portion of the read (i.e., the portion that is not part of the local alignment) is concatenated and each nucleotide or base of the clipped portion is encoded separately. In some implementations, each nucleotide or base in such a clipped portion of the read is individually encoded with two bits.

[0097] In some implementations, each mismatch encoded in the list of mismatches of an incompletely mapped read (i.e., encoded by the first encoding sub-process or the second encoding sub-process) may be encoded in one byte. More precisely, each mismatch of an incompletely mapped read to be encoded by the first encoding sub-process or the second encoding sub-process may be encoded as follows: the first two bits of the byte are used to encode an alternative nucleotide or base that is present in the read instead of the corresponding reference nucleotide or base in the reference sequence; The six last bits are used to encode the position of the mismatch in the reference sequence, which is calculated as an offset from the preceding mismatch in the read. This calculated position may be the relative position of the mismatch, except for the first mismatch in the read, where an absolute position is encoded. Therefore, the range of this offset encoded in the six bits may be [0 to 63].

[0098] The encoded or compressed record resulting from the completion of the process of Figure 1 can be stored in the memory or other storage device of the device. In some implementations, this encoded or compressed record can be stored in the memory or other storage device of the device in a manner that preserves the ordering of the aligned read records. This helps ensure that the compression of the aligned read records is lossless, since even the initial ordering of the aligned read records is preserved.

[0099] Obtain aligned read records at stage 102 The compression method of FIG. 1 will be described in more detail with respect to the compression method 100A of FIG. 1A. The execution of the compression method 100A by the device 20, 20A, or 20B can begin at an initial stage 102, which includes obtaining aligned read records (also referred to below as "obtained read records" or "unmapped reads" / "mapped reads" / "completely mapped reads" / "incompletely mapped reads" based on the subsequent classification of the obtained read records during the execution of the method 100A). In some implementations, the aligned read records can be obtained from a plurality of aligned read records stored in such a manner that the initial order of the aligned read records provided by the sequencing device is preserved. Thus, the entire operation of the mapping and alignment module and the compression module can keep the read records in the initial order of the read records as provided by the sequencing device. In some implementations, the aligned read records can be stored to preserve the initial order of the aligned read records by using an array_id that is stored with each aligned read record and incremented with each aligned read record generated by the mapping and alignment module.

[0100] At stage 104, it is determined whether the reads corresponding to the aligned read records are fully mapped, incompletely mapped, or unmapped. The compression method of the present disclosure may include a next stage 104 in which the apparatus 20, 20A, or 20B determines whether the acquired read record is fully mapped to the reference sequence, incompletely mapped to the reference sequence, or not mapped to the reference sequence. In some implementations, the apparatus 20, 20A, 20B may determine whether the read is fully mapped, incompletely mapped, or not mapped based on information received from the mapping and alignment module. This information may include, for example, information such as whether the read represented by the acquired read record is mapped or not mapped, whether the read represented by the read record is fully mapped or incompletely mapped, an indication of the total number of mismatches, such as variants or sequencing errors, undetermined bases, or any combination thereof. In some implementations, this information may be included within the read record itself.

[0101] In some implementations, the apparatus 20, 20A, or 20B may first determine whether the aligned reads were mapped or unmapped at stage 104. If the apparatus 20, 20A, or 20B determines that the aligned reads were unmapped, the apparatus may continue performing process 100A of FIG. 1A at stage 120. Alternatively, if the apparatus 20, 20A, or 20B determines that the reads were mapped, the apparatus 20, 20A, or 20B may further determine during stage 104 whether the reads were incompletely mapped or fully mapped.

[0102] In some implementations, the apparatus 20, 20A, or 20B can determine during stage 104 whether a read was incompletely or completely mapped by evaluating the number of mismatches in the read. In some implementations, this mismatch number can be provided by a mapping and alignment module and obtained from the read record. The mismatch number may be counted in different ways for different implementations. In some implementations, the mismatch number at stage 104 may not include the number of undetermined bases N. In other implementations, the mismatch number determined at stage 104 may include the total mismatch number and the number of undetermined bases N.

[0103] In the example of FIG. 1A, it is assumed that the undetermined base N is not a mismatch. As a result, a fully mapped read may contain zero mismatches and one or more undetermined bases N. Thus, in this implementation, an incompletely mapped read would need to have at least one mismatch and may or may not have any undetermined bases N. However, in other implementations, the process of FIG. 1A can be modified by assuming that the presence of N in a read may be a mismatch. In such implementations, a read may be determined to be a fully mapped read only if it is determined to have zero mismatches and zero undetermined bases N, and a read with zero mismatches and one or more undetermined bases N may be classified as an incompletely mapped read.

[0104] In the first implementation, if the device 20, 20A, or 20B determines in stage 104 that the total number of mismatches is equal to 0 and the total number of undetermined bases N is 0 or 1 or more, the device 20, 20A, or 20B can determine that the aligned read obtained in stage 4 is a fully mapped read and can continue to execute the process 100A of FIG. 1 in stage 116. Alternatively, in the first implementation, if the device 20, 20A, or 20B determines during stage 104 that the total number of mismatches is greater than 0 and the total number of undetermined bases N is 0 or 1 or more, the device 20, 20A, or 20B can determine during stage 104 that the read corresponding to the obtained read record is an incompletely mapped read and the device 20, 20A, or 20B can continue to execute the process 100A of FIG. 1A in stage 106.

[0105] In a second and alternative implementation, if at stage 104 the total number of mismatches is equal to 0 and the total number of undetermined bases N is 0, and in such a scenario the device 20, 20A, or 20B can continue to execute the process 100A of FIG. 1A at stage 116, the device 20, 20A, or 20B will simply determine that the read is a fully mapped read. Alternatively, in this second implementation, if during stage 104 the device 20, 20A, or 20B determines that the total number of mismatches is greater than 0 or the total number of undetermined bases N is greater than 0, the device 20, 20A, or 20B can determine during stage 104 that the read corresponding to the obtained read record is an incompletely mapped read, and the device 20, 20A, or 20B can continue to execute the process 100A of FIG. 1A at stage 106.

[0106] However, it should be noted that the preceding implementations are merely examples of how the device 20, 20A, or 20B may determine at stage 104 whether a read corresponding to an acquired read record is fully mapped, incompletely mapped, or not mapped. For example, in some implementations, such a determination may be made instead based on information contained in the acquired read record, without comparing the number of mismatches to a threshold, without comparing the number of undetermined bases N to a threshold, or both. As an example, the read record may maintain a bit flag in the header or other portion of the read record indicating whether the read is mapped or not mapped, fully mapped, incompletely mapped, etc. In such implementations, the device 20, 20A, or 20B may make a determination as in stage 4 regarding whether the aligned read record is mapped, not mapped, fully mapped, or not completely mapped based on the bit flag of the read record, without comparing the number of mismatches or undetermined bases N to a threshold. Other implementations are also within the scope of the present disclosure. For example, it is contemplated that an implementation could be used that could access information stored in a data structure separate from the lead record and read a bit flag, or other data, to indicate whether a lead corresponding to a particular lead record is mapped, unmapped, completely mapped, or incompletely mapped.

[0107] Stage 104 "Incompletely Mapped Reads" Branch If the device 20, 20A, or 20B determines in stage 104 that the read corresponding to the obtained read record is an incompletely mapped read, the device 20, 20A, or 20B can determine in stage 106 whether the number of differences between the incompletely mapped read and the reference sequence exceeds a first threshold. This can include a total mismatch count, with the total mismatch count including the sum of any differences between the aligned read and the reference sequence including variants, sequencing errors, and undetermined base N. In other implementations, the number of differences in stage 106 can include only the mismatch count without counting the number of undetermined bases N. In some implementations, the mismatch count can be provided by the mapping and alignment module and obtained from the read record.

[0108] In some implementations, the first threshold may be 31. This particular value may be selected to provide the best possible compromise to store the mismatch count in a sufficiently compact manner so that it can be better understood later for subsequent stages. In fact, it has been statistically observed that in the majority of cases, incompletely mapped reads have less than 31 mismatches. The rationale behind the selection is to encode the most frequent cases in the most compact way while leaving some very few degraded cases. However, although there are certain advantages that can be achieved using a first threshold of 31, the present disclosure is not limited to only those implementations in which the first threshold is equal to 31. Instead, in other implementations, it may be desirable to use a threshold higher than 31. For example, although the embodiment (e.g., a threshold of 31 mismatches) may be intended to be useful for compressing read records representing reads generated by short read sequencers, it is contemplated that the genomic data compression method of the present invention may be used in other implementations, such as compressing read records generated by long read sequencers. Thus, in such implementations, where the reads are represented by read records significantly longer than 150 nucleotides or bases in length, the threshold can be set to a value higher than 31 to enable functionality of the compression methods of the present disclosure for long read systems.

[0109] Stage 106 "Yes" branch If the device 20, 20A, or 20B determines at stage 106 that the number of differences between the incompletely mapped reads and the reference sequence exceeds a first threshold, the device may continue to execute the process 100A at stage 114. At stage 114, the device 20, 20A, or 20B may determine whether the number of undetermined bases "N" in the incompletely mapped reads exceeds a second threshold. In some implementations, the second threshold may also be equal to 31. However, similar to the first threshold, the second threshold of the present disclosure is not limited to the value of 31. Instead, any number including a value higher than 31 may be used for the second threshold based on the length of the read issued in the implementation. Moreover, there is no requirement that the first threshold and the second threshold use the same threshold.

[0110] Stage 114 "Yes" branch If the number of undisclosed bases "N" in the incompletely mapped read is determined by the apparatus 20, 20A, or 20B to exceed a second threshold, the apparatus 20, 20A, or 20B may determine that the incompletely mapped read will be encoded using a second encoding module 110 to encode the incompletely mapped read using a second encoding process. This second encoding process is the same as the second encoding process described above with respect to FIG. 1, in which each nucleotide or base is encoded individually, regardless of whether the nucleotide or base is aligned. In some implementations, because the apparatus 20, 20A, or 20B determined at stage 114 that the number of undisclosed bases "N" exceeded the second threshold, the apparatus 20, 20A, or 20B may use the second encoding module to encode the read into 4 bits 110a using the second encoding process. Once the read has been encoded using the second encoding process 110 using the 4-bit encoding 110a, the device 20, 20A, or 20B may store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B may determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. If there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0111] Stage 114 "No" branch If the apparatus 20, 20A, or 20B determines during stage 114 that the number of undisclosed bases "N" in the incompletely mapped read does not exceed the second threshold, the apparatus 20, 20A, or 20B can determine that the incompletely mapped read will be encoded using the second encoding module 110 to encode the incompletely mapped read using a second encoding process. This second encoding process is the same as the second encoding process described above with respect to FIG. 1, in which each nucleotide or base is encoded individually, regardless of whether the nucleotide or base is aligned. In some implementations, because the apparatus 20, 20A, or 20B determined during stage 114 that the number of undisclosed bases "N" did not exceed the second threshold, the apparatus 20, 20A, or 20B can use the second encoding module to encode the read into two bits 110b using the second encoding process. Once the read is encoded using the second encoding process 110 using the 2-bit encoding 110b, the device 20, 20A, or 20B may store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B may determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. If there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0112] Stage 106 "No" Branch If the apparatus 20, 20A, or 20B determines at stage 106 that the number of differences between the incompletely mapped reads and the reference sequence does not exceed the first threshold, the apparatus 20, 20A, or 20B may continue performing the process 100A at stage 108. At stage 108, the apparatus 20, 20A, or 20B may determine whether the incompletely mapped reads contain more than a second threshold number of undetermined bases "N".

[0113] Stage 108 "Yes" branch If the device 20, 20A, or 20B determines at stage 108 that the number of undisclosed bases "N" in the incompletely mapped read exceeds a second threshold, the device 20, 20A, or 20B may determine at stage 108 that the incompletely mapped read will be coded using a second coding module 110 to code the incompletely mapped read using a second coding process. This second coding process is the same as the second coding process described above with respect to FIG. 1, in which each nucleotide or base is coded individually, regardless of whether the nucleotide or base is aligned. In some implementations, because the device 20, 20A, or 20B determines at stage 108 that the number of undisclosed bases "N" exceeds a second threshold, the device 20, 20A, or 20B may use the second coding module to code 110a the read into 4 bits using a second coding process. Once the read has been encoded using the second encoding process 110 using the 4-bit encoding 110a, the device 20, 20A, or 20B may store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B may determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. If there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0114] Stage 108 "No" Branch If during stage 108, the device 20, 20A, or 20B determines that the incompletely mapped read includes a number of undetermined bases "N" that does not meet the second threshold, the device 20, 20A, or 20B can use the third encoding module 112 to encode the incompletely mapped read using a third encoding process. The third encoding process of FIG. 1A is the same as the third encoding process described above with respect to the process of FIG. 1 and uses the same descriptors as the third encoding process described above. Once the read is encoded using the third encoding process of the third encoding module 112, the device 20, 20A, or 20B can store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B can determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. Alternatively, if there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0115] Stage 104 "fully mapped reads" branch Alternatively, if the read corresponding to the acquired read record is determined to be a fully mapped read in stage 104, the device 20, 20A, or 20B may determine in stage 116 whether the fully mapped read includes a number of undetermined bases "N" that exceeds a second threshold. In some implementations, the second threshold may also be equal to 31. However, similar to the first threshold, the present disclosure is not limited to a second threshold of 31. Instead, any number including a value higher than 31 may be used for the second threshold based on the length of the issued read in the implementation. Moreover, there is no requirement that the first threshold and the second threshold use the same threshold.

[0116] Stage 116 "No" Branch If the apparatus 20, 20A, or 20B determines at stage 116 that the fully mapped read does not include more than a second threshold number of undetermined bases "N", the apparatus 20, 20A, or 20B may determine to encode the read using a first encoding module 122 using a first encoding process. If the fully mapped read does not include any undetermined bases "N", the first encoding module 122 performs a first encoding process that is the same as the first encoding process described above with respect to FIG. 1 and uses the same descriptors as the first encoding process described above. Alternatively, if the fully mapped read includes one or more "N", the first encoding module 122 encodes the fully mapped read using the first encoding process described above with respect to FIG. 1 and using the same descriptors for the first encoding process described above. Additionally, in certain implementations where a fully mapped read contains one or more Ns (but less than a second threshold number of Ns), the first encoding module 118 may also store a list of positions on the read for undetermined bases N.

[0117] Once the read is encoded using the first encoding module 118, the device 20, 20A, or 20B may store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B may determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. And, if there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0118] Stage 116 "Yes" branch However, if the device determines at stage 116 that the read contains more than a second threshold number of undetermined bases "N", the device 20, 20A, or 20B can use the second encoding module 110 to encode the read into 4 bits 110a using a second encoding process. The second encoding process of FIG. 1A is the same as the second encoding process described above with respect to FIG. 1, in which each nucleotide or base is encoded individually, regardless of whether the nucleotide or base is aligned or not. Once the read is encoded using the second encoding process 110 using the 4-bit encoding 110a, the device 20, 20A, or 20B can store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B can determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. Alternatively, if there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0119] Stage 104 "Unmapped Reads" branch Alternatively, if the read corresponding to the obtained read record is determined to be an unmapped read in stage 104, the device 20, 20A, or 20B may determine in stage 120 whether the unmapped read includes a number of undetermined bases "N" that exceeds a second threshold. In some implementations, the second threshold may also be equal to 31. However, similar to the first threshold, the present disclosure is not limited to a second threshold of 31. Instead, any number including a value higher than 31 may be used for the second threshold based on the length of the issued read in the implementation. Moreover, there is no requirement that the first threshold and the second threshold use the same threshold.

[0120] Stage 120 "No" branch If the apparatus 20, 20A, or 20B determines at stage 120 that the unmapped read does not include more than a second threshold number of undetermined bases "N", the apparatus 20, 20A, or 20B may determine to encode the read using a second encoding module 110 using a second encoding process. This second encoding process is the same as the second encoding process described above with respect to FIG. 1, in which each nucleotide or base is encoded individually, regardless of whether the nucleotide or base is aligned. In some implementations, because the apparatus 20, 20A, or 20B determined at stage 120 that the number of undetermined bases "N" did not exceed the second threshold, the apparatus 20, 20A, or 20B may use the second encoding module to encode the read into two bits 110b using the second encoding process. Once the read is encoded using the second encoding process 110 using the 2-bit encoding 110b, the device 20, 20A, or 20B may store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B may determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. If there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0121] Stage 120 "Yes" branch However, if the device determines at stage 120 that the unmapped read contains more than a second threshold number of undetermined bases "N", the device 20, 20A, or 20B can use the second encoding module 110 to encode the read into 4 bits 110a using a second encoding process. The second encoding process of FIG. 1A is the same as the second encoding process described above with respect to FIG. 1, in which each nucleotide or base is encoded individually, regardless of whether the nucleotide or base is aligned or not. Once the read is encoded using the second encoding process 110 using the 4-bit encoding 110a, the device 20, 20A, or 20B can store the encoded read in a memory or other storage device at stage 122. The device 20, 20A, or 20B can determine at stage 124 whether there is another sequentially ordered, aligned read to be compressed. Alternatively, if there is another sequentially ordered, aligned read, the device 20, 20A, or 20B may perform the operations of stage 102 to obtain the next sequentially ordered, aligned read record and perform the process 100A again. The device 20, 20A, or 20B may instead continue to repeatedly perform the process 100A until no sequentially ordered, aligned read records are identified at stage 124. Upon such a determination, the process 100A may end at stage 126.

[0122] Figure 3 provides an example of the coding of mismatches in a read by the first coding sub-process. The read is an incompletely mapped read that is globally mapped with a reference sequence. The read contains two mismatches, a first mismatch located at the 12th position in the read, which consists in a substitution of an A nucleotide in the reference sequence with a T nucleotide in the read; a second mismatch located at the 21st position in the read, which consists in a substitution of a C nucleotide in the reference sequence with a G nucleotide in the read; has.

[0123] The list of mismatches in the reads is then <12,T>, the value “12” corresponding to the absolute position of the first mismatch in the read, and <9,G>, the value “9” corresponding to the relative position of the second mismatch in the read, i.e., the offset between the second mismatch and the first mismatch; is encoded as

[0124] <12,T> may, for example, be converted to the value "51" (encoded in one byte), and <9,G> may be converted to the value "38" (encoded in one byte). Such single-byte encodings are Offset position x 4 + nucleotide value (A=0, C=1, G=2, T=3) It is obtained by

[0125] Preferably, for each incompletely mapped read encoded by the first encoding sub-process or the second encoding sub-process, if the offset calculated between a given mismatch and a preceding mismatch of the read is greater than the maximum codeable value, at least one "false" mismatch is inserted between the two mismatches until every offset between each of the two mismatches and at least one "false" mismatch is lower than the maximum codeable value. A "false" mismatch is defined as a mismatch where the bit of the byte used to code the mismatch codes a nucleotide or base equal to the corresponding reference nucleotide or base in the reference sequence. In some implementations, the maximum codeable value is equal to 63, which corresponds to the maximum value codeable by 6 bits. However, the present disclosure is not limited to implementations having a maximum codeable value of 63. For implementations having a maximum codeable value greater than 63, additional bits can be used to code the value. In such implementations, this may require, for example, an adjustment of the length of other bits in the header for the read, an increase in the header size by more than one byte, or a combination of both. Thus, while the algorithmic features of the present disclosure are flexible for particular use cases, implementations that may result from design changes may result in corresponding trade-offs in performance that may be acceptable or even beneficial under certain circumstances of any particular implementation.

[0126] FIG. 4 provides an example of mismatch encoding of a read by the first encoding sub-process in a case where a "false" mismatch needs to be inserted. The read is an incompletely mapped read that has been globally mapped with a reference sequence. The read contains two mismatches, a first mismatch located at position 22 in the read, which consists in a substitution of an A nucleotide in the reference sequence with a T nucleotide in the read; a second mismatch located at position 134 in the read, which consists in the substitution of a C nucleotide in the reference sequence with a G nucleotide in the read; has.

[0127] The position offset between the second mismatch and the first mismatch is 112, which is greater than the maximum codeable value of 63. Therefore, a "false" mismatch needs to be inserted between the two mismatches, so that any offset between each of the mismatches and the "false" mismatch is less than the maximum codeable value. A "false" mismatch using a T nucleotide (corresponding to the "real" T nucleotide in the reference sequence) is inserted, for example, at the 85th position in the read. The calculated position offset between the "false" mismatch and the first mismatch is 63, which corresponds to the maximum codeable value. The calculated position offset between the second mismatch and the "false" mismatch is 49, which is less than 63.

[0128] The list of mismatches in the reads is then <22,T>, i.e., the value “22”, corresponding to the absolute position of the first mismatch in the read; <63,T>, the value “63” corresponding to the relative position of the “false” mismatch in the read, i.e., the offset between the “false” mismatch and the first mismatch; and <49,G>, the value “49” corresponding to the relative position of the second mismatch in the read, i.e., the offset between the second mismatch and the “false” mismatch; is encoded as

[0129] <22,T> may, for example, be converted to the value "91" (encoded in one byte), <63,T> may be converted to the value "255" (encoded in one byte), and <49,G> may be converted to the value "198" (encoded in one byte). Such single-byte encodings are Offset position x 4 + nucleotide value (A=0, C=1, G=2, T=3) It is obtained by

[0130] The method includes a final step 14 of providing a compressed file containing a list of encoded reads. The encoded reads are stored in the compressed file in the same order as the reads were stored in the initial uncompressed file. Each read can then be reconstructed from the alignment encoding information and the reference sequence by appropriate decompression software and / or methods configured according to the invention.

[0131] Although described with respect to an exemplary architecture of computing device 20 (shown in FIG. 2 for illustrative purposes), the inventive techniques disclosed herein may be implemented in hardware, software, firmware, or any combination thereof. When implemented in software, the computer program code may be stored on a computer medium and executed by a hardware processing unit including one or more processors, as with device 20 of FIG. 2. As used herein, the term "processor" should be understood to include one or more processing devices including a signal processor, a microprocessor, a microcontroller, an application-specific integrated circuit (ASIC), a field programmable gate array (FPGA), or other types of processing circuitry, as well as portions or combinations of such circuit elements. Additionally, as used herein, the term "memory" is intended to include electronic memory associated with a processor, such as random access memory (RAM), read-only memory (ROM), or other types of memory, in any combination.

[0132] Thus, software instructions or code for carrying out the methodologies and protocols described herein may be stored in one or more of the associated memory devices, e.g., ROM, fixed or removable memory, and loaded into RAM and executed by the processor when ready for use.

[0133] The techniques of this disclosure may be implemented in a wide variety of devices or apparatuses, including, for example, mobile phones, computers, servers, tablets, and similar devices.

[0134] Although illustrative embodiments of the present invention have been described herein with reference to the accompanying drawings, it is to be understood that the invention is not limited to the precise embodiments shown in the drawings, and that various other changes and modifications can be made by those skilled in the art without departing from the scope or spirit of the present invention.

[0135] FIG. 5 is a diagram of an example of computing components that can be used to implement a system that performs the compression methods of FIGS. 1 and 1A.

[0136] Computing device 500 is intended to represent various forms of digital computers, such as laptops, desktops, workstations, personal digital assistants, servers, blade servers, mainframes, and other suitable computers. Computing device 550 is intended to represent various forms of mobile devices, such as personal digital assistants, cellular telephones, smartphones, and other similar computing devices. In addition, computing device 500 or 550 may include a Universal Serial Bus (USB) flash drive. A USB flash drive may store an operating system and other applications. A USB flash drive may include input / output components, such as a wireless transmitter or a USB connector that may be inserted into a USB port of another computing device. The components shown herein, the connections and relationships of the components, and the functions of the components are meant to be merely examples and are not meant to limit the implementation of the inventions described and / or claimed in this document.

[0137] The computing device 500 includes a processor 502, a memory 504, a storage device 508, a high-speed interface 508 connecting to the memory 504 and a high-speed expansion port 510, and a low-speed interface 512 connecting to a low-speed bus 514 and the storage device 508. Each of the components 502, 504, 508, 508, 510, and 512 are interconnected using various buses and may be mounted on a common motherboard or in any other manner as appropriate. The processor 502 may process instructions for execution within the computing device 500, including instructions stored in the memory 504 or on the storage device 508, to display graphical information for a GUI on an external input / output device, such as a display 516 coupled to the high-speed interface 508. In other implementations, multiple processors and / or multiple buses may be used, along with multiple memories and types of memories, as appropriate. Multiple computing devices 500 may also be connected such that each device provides a portion of the required computations, for example, as a server bank, a group of blade servers, or a multiprocessor system.

[0138] The memory 504 stores information within the computing device 500. In one implementation, the memory 504 is a volatile memory unit or units. In another implementation, the memory 504 is a non-volatile memory unit or units. The memory 504 may also be another form of computer-readable medium, such as a magnetic disk or optical disk.

[0139] The storage device 508 can provide mass storage for the computing device 500. In one implementation, the storage device 508 can be or can contain a computer-readable medium, such as a floppy disk device, a hard disk device, an optical disk device, or a tape device, a flash memory or other similar solid-state memory device, or an array of devices including devices in a storage area network or other configuration. The computer program product can be tangibly embodied in an information carrier. The computer program product can also contain instructions that, when executed, perform one or more methods, such as those described above. The information carrier is a computer-readable or machine-readable medium, such as the memory 504, the storage device 508, or a memory on the processor 502.

[0140] The high-speed controller 508 manages bandwidth-intensive operations for the computing device 500, while the low-speed controller 512 manages low-bandwidth-intensive operations. Such an allocation of functions is only one example. In one implementation, the high-speed controller 508 is coupled to the memory 504, to the display 516, for example via a graphics processor or accelerator, and to a high-speed expansion port 510 that can accept various expansion cards (not shown). In this implementation, the low-speed controller 512 is coupled to the storage device 508 and to the low-speed expansion port 514. The low-speed expansion port, which can include various communication ports, for example, USB, Bluetooth, Ethernet, wireless Ethernet, can be coupled to one or more input / output devices, such as a keyboard, a pointing device, a microphone / speaker pair, a scanner, or a networking device, such as a switch or router, for example, via a network adapter. The computing device 500 can be implemented in several different forms, as shown in the figure. For example, the computing device can be implemented as a standard server 520, or multiple times in a cluster of such servers. The computing device may also be implemented as part of a rack server system 524. Additionally, the computing device may be implemented in a personal computer, such as a laptop computer 522. Alternatively, components from the computing device 500 may be combined with other components in a mobile device (not shown), such as device 550. Each such device may contain one or more of the computing devices 500, 550, and the entire system may be made up of multiple computing devices 500, 550 in communication with each other.

[0141] The computing device 500 can be implemented in a number of different forms, as shown in the figure. For example, the computing device can be implemented as a standard server 520, or multiple times in a cluster of such servers. The computing device can also be implemented as part of a rack server system 524. In addition, the computing device can be implemented in a personal computer, such as a laptop computer 522. Alternatively, components from the computing device 500 can be combined with other components in a mobile device (not shown), such as device 550. Each such device can contain one or more of the computing devices 500, 550, and the entire system can be made up of multiple computing devices 500, 550 in communication with each other.

[0142] Computing device 550 includes, among other components, a processor 552, memory 564, and input / output devices such as a display 554, a communication interface 566, and a transceiver 568. Device 550 may also include a storage device, such as a microdrive or other device, to provide additional storage. Each of components 550, 552, 564, 554, 566, and 568 are interconnected using various buses, and some of the components may be implemented on a common motherboard or in other manners as appropriate.

[0143] The processor 552 can execute instructions in the computing device 550, including instructions stored in the memory 564. The processor can be implemented as a chipset of chips including separate and multiple analog and digital processors. In addition, the processor can be implemented using any of several architectures. For example, the processor 510 can be a Complex Instruction Set Computers (CISC) processor, a Reduced Instruction Set Computer (RISC) processor, or a Minimal Instruction Set Computer (MISC) processor. The processor can provide coordination of other components of the device 550, such as, for example, control of a user interface, applications executed by the device 550, and wireless communication by the device 550.

[0144] The processor 552 can communicate with a user via a control interface 558 and a display interface 556 coupled to a display 554. The display 554 can be, for example, a TFT (Thin-Film-Transistor Liquid Crystal Display) display, an OLED (Organic Light Emitting Diode) display, or other suitable display technology. The display interface 556 can include appropriate circuitry for driving the display 554 to present graphical and other information to a user. The control interface 558 can receive commands from a user and translate the commands for transfer to the processor 552. Additionally, an external interface 562 can be provided for communication with the processor 552 to enable short-range wireless communication between the device 550 and other devices. The external interface 562 can be provided, for example, for wired communication in some implementations or for wireless communication in other implementations, and multiple interfaces can also be used.

[0145] The memory 564 stores information within the computing device 550. The memory 564 may be implemented as one or more of a computer readable medium or media, a volatile memory unit or units, or a non-volatile memory unit or units. An expansion memory 574 may also be provided and connected to the device 550 via an expansion interface 572, which may include, for example, a Single In Line Memory Module (SIMM) card interface. Such expansion memory 574 may provide additional storage space for the device 550 or may store applications or other information for the device 550. In particular, the expansion memory 574 may include instructions that perform or complement the processes described above and may also include secure information. Thus, for example, the expansion memory 574 may be provided as a security module for the device 550 and may be programmed with instructions that enable secure use of the device 550. Additionally, secure applications may be provided via a SIMM card along with additional information, such as placing identifying information on the SIMM card in an unhackable manner.

[0146] The memory may include, for example, flash memory and / or NVRAM memory, as described below. In one implementation, the computer program product is tangibly embodied in an information carrier. The computer program product contains instructions that, when executed, perform one or more methods, such as those described above. The information carrier is, for example, a computer-readable or machine-readable medium, such as memory 564, expansion memory 574, or memory on processor 552, which may be received via transceiver 568 or external interface 562.

[0147] Device 550 can communicate wirelessly via communication interface 566, which can include digital signal processing circuitry if necessary. Communication interface 566 can provide for communication under various modes or protocols, such as GSM voice calls, SMS, EMS, or MMS messaging, CDMA, TDMA, PDC, WCDMA, CDMA2000, or GPRS, among others. Such communication can occur, for example, via radio frequency transceiver 568. In addition, short-range communication can occur, such as using Bluetooth, Wi-Fi, or other such transceivers (not shown). In addition, a Global Positioning System (GPS) receiver module 570 can provide additional navigation-related and location-related wireless data to device 550, which can be used as appropriate by applications operating on device 550.

[0148] Device 550 can also communicate audibly using audio codec 560, which can receive speech information from a user and convert the speech information into usable digital information. Audio codec 560 can also generate audible sounds for the user, such as through a speaker in a handset of device 550. Such sounds can include sounds from a voice telephone call, can include recorded sounds, such as voice messages, music files, and the like, and can also include sounds generated by applications running on device 550.

[0149] The computing device 550 can be implemented in a number of different forms, as shown in the figure. For example, the computing device can be implemented as a mobile phone 580. The computing device can also be implemented as part of a smartphone 582, personal digital assistant, or other similar mobile device.

[0150] Various implementations of the systems and methods described herein can be realized in digital electronic circuitry, integrated circuits, specially designed ASICs (application specific integrated circuits), computer hardware, firmware, software, and / or combinations of such implementations. These various implementations can be special purpose or general purpose, and can include implementations in one or more computer programs executable and / or interpretable on a programmable system including at least one programmable processor coupled to receive data and instructions from, and transmit data and instructions to, a storage system, at least one input device, and at least one output device.

[0151] These computer programs (also known as programs, software, software applications, or code) contain machine instructions for a programmable processor and may be implemented in high-level procedural and / or object-oriented programming languages ​​and / or assembly / machine languages. As used herein, the terms "machine-readable medium" and "computer-readable medium" refer to any computer program product, apparatus, and / or device, such as magnetic disks, optical disks, memories, Programmable Logic Devices (PLDs) used to provide machine instructions and / or data to a programmable processor, including machine-readable media that receive machine instructions as a machine-readable signal. The term "machine-readable signal" refers to any signal used to provide machine instructions and / or data to a programmable processor.

[0152] To provide interaction with a user, the systems and techniques described herein can be implemented on a computer having a display device, such as a CRT (cathode ray tube) or LCD (liquid crystal display) monitor, for displaying information to the user, as well as a keyboard and a pointing device, such as a mouse or trackball, by which the user can provide input to the computer. Other types of devices can also be used to provide interaction with a user, for example, feedback provided to the user can be any form of sensory feedback, such as visual feedback, auditory feedback, or haptic feedback, and input from the user can be received in any form, including acoustic input, speech input, or tactile input.

[0153] The systems and techniques described herein can be implemented in a computing system that includes a back-end component, e.g., as a data server, or in a computing system that includes a middleware component, e.g., an application server, or in a computing system that includes a front-end component, e.g., a client computer having a graphical user interface or web browser through which a user can interact with an implementation of the systems and techniques described herein, or in any combination of such back-end, middleware, or front-end components. The components of the system can be interconnected by any form or medium of digital data communication, e.g., a communications network. Examples of communications networks include a local area network ("LAN"), a wide area network ("WAN"), and the Internet.

[0154] A computing system may include clients and servers. Clients and servers are generally remote from each other and typically interact through a communication network. The relationship of clients and servers arises by virtue of computer programs running on the respective computers and having a client-server relationship to each other.

[0155] Other embodiments Several embodiments have been described. Nevertheless, it will be understood that various modifications can be made without departing from the spirit and scope of the present invention. In addition, the logic flows depicted in the figures do not require the particular order shown, or sequential order, to achieve desired results. In addition, other steps can be provided or steps can be eliminated from the described flows, and other components can be added to or removed from the described systems. Accordingly, other embodiments are within the scope of the following claims.

[0156] Experimental Results Statistical and Numerical Examples of the Compression Method According to the Invention The following comparative example was run on an uncompressed data file of size 35,770 MB containing 48 million reads or sequences of nucleotides. The results of this comparative example are also shown in FIG.

[0157] The results below show the size of the compressed version of an uncompressed file of size 35,770 MB with 48 million reads when compressed using each individual algorithm. These results are shown in Chart 610. Size of file compressed with gzip software: 6,649MB (612) Size of compressed file with non-reference based SPRING software: 1,402MB (614) Size of file compressed using the reference-based compression method disclosed here: 1,179MB (6160

[0158] The results below show the amount of time it took to compare an uncompressed file of size 35,770MB with 48 million reads using each individual algorithm. These results are shown in Chart 620. Compression time with non-reference based SPRING software: 1,722 seconds (622) Compression time using our reference-based compression method: 181 seconds (624)

[0159] The following results show the average size of the bits / nucleotides ratio of the compressed version of an uncompressed file of size 35,770 MB with 48 million reads when compressed using each individual algorithm. These results are shown in Chart 630. Average size of uncompressed data files (ASCII encoded) in bits / nucleotide: 8 bits / nucleotide (630) Average size in bits / nucleotides of a file compressed with a coding suitable for the four possible characters A, T, C, G: 2 bits / nucleotide (634) Average size in bits / nucleotides of files compressed using our reference-based compression method: 0.33 bits / nucleotides (636)

[0160] FIG. 7 shows additional comparative results using different compression algorithms to compress sample reads generated using WXS novaseq and the reference genome SRR8604734.

[0161] Chart 710 shows a comparison of the resulting compressed size (MB) between gzip compression of WXS novaseq reads with reference genome SRR8604734 (712), Spring compression of WXS novaseq reads with reference genome SRR8604734 (716), and the disclosed compression of WXS novaseq with reference genome SRR8604734 (716). The units of measurement are megabytes.

[0162] Chart 720 shows a comparison of compression speeds of compression algorithms for compressing WXS novaseq reads using reference genome SRR8604734 at 720. Spring compression speeds for compressing WXS novaseq reads using reference genome SRR8604734 are shown at (722) compared to the speed of the present disclosure for compressing WXS novaseq reads using reference genome SRR8604734 shown at 724. The units of measurement are seconds.

[0163] Chart 730 shows a comparison of memory usage of compression algorithms during compression of WXS novaseq reads using reference genome SRR8604734. Spring compression utilized 13,428 MB of memory to compress WXS novaseq reads using reference genome SRR8604734 732, while the present disclosure utilized 3,604 MB of memory to compress WXS novaseq reads using reference genome SRR8604734 (734). Measurements are in megabytes.

[0164] FIG. 8 shows additional comparative results using different compression algorithms to compress sample reads generated using different sequencers and different reference genomes with different compression ratios.

[0165] Chart 810 shows the raw size in gigabytes (GB) (812) of the reads file generated using Novaseq. When gzip was used to compress a Novaseq read of size 100 GB, gzip compressed the raw data to 17.7 GB (814). The present disclosure compressed the same raw size 812 file of 100 GB of Novaseq generated reads to a compressed file of 3.4 GB (816). The reference genome used for compression by both gzip and the present disclosure was SRR6882909, as shown in 810, with a compression ratio of 5.2x.

[0166] Chart 820 shows the raw size in gigabytes (GB) (822) of the file of reads generated using Hiseq X Ten. When gzip was used to compress a 100 GB size of Hiseq X Ten reads, gzip compressed the raw data to 24.9 GB (824). The present disclosure compressed the same raw size 822 file of 100 GB of Hiseq X Ten generated reads to a compressed file of 8.1 GB (826). The reference genome used for compression by both gzip and the present disclosure was SRR7725247, as shown in 820, with a compression ratio of 3x.

[0167] Chart 830 shows the raw size in gigabytes (GB) (832) of the file of reads generated using Hiseq 2000. When gzip was used to compress a 100 GB size of Hiseq 2000 reads, gzip compressed the raw data to 27.6 GB (834). The present disclosure compressed the same raw size 832 file of 100 GB of Hiseq 2000 generated reads to a compressed file of 11.3 GB (836). The reference genome used for compression by both gzip and the present disclosure was ERR174324, as shown in 830, resulting in a compression ratio of 2.4x.

[0168] The numerical examples presented above show that the present invention allows for fast compression and decompression while providing high compression ratios.

Claims

1. 1. A method for compressing genomic sequence data, the method comprising: accessing, by one or more processors, a storage device that stores a plurality of read records in a manner that preserves an ordering of the read records as generated by the mapping and alignment module, each of the plurality of read records corresponding to a completely mapped read or an incompletely mapped read; For each particular lead record of the plurality of lead records, obtaining, by the one or more processors, the particular read record generated based on data output by the mapping and alignment module, the particular read record including data indicating whether a read corresponding to the particular read record is completely mapped or incompletely mapped; determining, by the one or more processors, based on the particular read record, whether the particular read record corresponds to a read that is completely mapped to a reference sequence or that is incompletely mapped to the reference sequence; determining, by the one or more processors, whether a number of mismatches of the incompletely mapped reads does not exceed a predetermined mismatch threshold number based on the one or more processors determining that the particular read record corresponds to a read that is incompletely mapped to the reference sequence; encoding, by the one or more processors, each mismatch of the incompletely mapped read into a compressed read having one byte based on determining that the number of mismatches does not exceed the predetermined mismatch threshold number; storing, by the one or more processors, the compressed records in the storage device in a manner that preserves the ordering of the plurality of lead records.

2. Each lead record of the plurality of lead records comprises: Data indicating the absolute start position of the aligned reads with respect to the reference sequence; Data indicating the length of the read; data indicating the number of mismatches identified in the reads; data indicating whether the read includes at least one undetermined base N; Data indicating the number of undetermined bases N in the read; data indicating whether the read is mapped or unmapped; data indicating the position of the lead record in an array of lead records output by the mapping and alignment module; and data indicating the relative positions of possible mismatches in the reads.

3. Encoding each mismatch of the incompletely mapped read into a compressed record having a size of 1 byte includes, for each particular mismatch: encoding, by one or more processors, the first two bits of the byte to contain data indicative of an alternative nucleotide or base present in the read in place of a corresponding reference nucleotide or base in the reference sequence; and encoding, by one or more processors, the remaining 6 bits of the byte to contain data indicating a position of a mismatch in the reference sequence, the position being calculated as an offset from a preceding mismatch in the read.

4. The method comprises: determining, by one or more processors, whether the offset is greater than a maximum codable value; 4. The method of claim 3, further comprising: inserting, by one or more processors, at least one false mismatch between the particular mismatch and the previous mismatch based on determining that the offset is greater than the maximum codeable value.

5. The method comprises: The method of claim 1, further comprising, based on determining that the number of mismatches exceeds the predetermined mismatch threshold number, encoding, by one or more processors, a list of positions of the reference sequence corresponding to each position of the mismatch relative to the reference sequence using an information entropy reduction encoding process.

6. The method comprises: The method of claim 1, further comprising, based on determining that the read record corresponds to a read that is fully mapped to the reference sequence, encoding, by the one or more processors, at least a portion of the read record using information entropy reduction encoding.

7. Determining, by the one or more processors, whether a number of mismatches in the incompletely mapped reads does not exceed a predetermined mismatch threshold number, 2. The method of claim 1, further comprising determining, by the one or more processors, whether the number of mismatches in the incompletely mapped reads is greater than a reference threshold.

8. 1. A system for compressing genomic sequence data, the system comprising: one or more computers; and one or more storage devices that store instructions, which when executed by the one or more computers, cause the one or more computers to: accessing, by the one or more computers, a storage device that stores a plurality of read records in a manner that preserves an ordering of the read records as generated by the mapping and alignment module, each of the plurality of read records corresponding to a completely mapped read or an incompletely mapped read; For each particular lead record of the plurality of lead records, obtaining, by the one or more computers, the specific read record generated based on data output by the mapping and alignment module, the specific read record including data indicating whether a read corresponding to the specific read record is completely mapped or incompletely mapped; determining, by the one or more computers, based on the particular read record, whether the particular read record corresponds to a read that is completely mapped to a reference sequence or that is incompletely mapped to the reference sequence; determining, by the one or more computers, whether a number of mismatches of the incompletely mapped reads does not exceed a predetermined mismatch threshold number based on determining, by the one or more computers, that the particular read record corresponds to a read that is incompletely mapped to the reference sequence; encoding, by the one or more computers, each mismatch of the incompletely mapped read into a compressed read having one byte based on determining that the number of mismatches does not exceed the predetermined mismatch threshold number; storing, by the one or more computers, the compressed records in the storage device in a manner that preserves the ordering of the plurality of read records.

9. Each lead record of the plurality of lead records comprises: Data indicating the absolute start position of the aligned reads with respect to the reference sequence; Data indicating the length of the read; data indicating the number of mismatches identified in the reads; data indicating whether the read includes at least one undetermined base N; Data indicating the number of undetermined bases N in the read; data indicating whether the read is mapped or unmapped; data indicating the position of the lead record in an array of lead records output by the mapping and alignment module; and data indicating relative positions of possible mismatches in the reads.

10. Encoding each mismatch of the incompletely mapped read into a compressed record having a size of 1 byte includes, for each particular mismatch: encoding, by one or more computers, the first two bits of said byte to contain data indicative of an alternative nucleotide or base present in said read in place of a corresponding reference nucleotide or base in said reference sequence; and encoding, by one or more computers, the remaining 6 bits of the byte to contain data indicating the position of a mismatch in the reference sequence, the position being calculated as an offset from a preceding mismatch in the read.

11. The calculation is determining, by the one or more computers, whether the offset is greater than a maximum codable value; 11. The system of claim 10, further comprising: inserting, by the one or more computers, at least one false mismatch between the particular mismatch and the previous mismatch based on determining that the offset is greater than the maximum codeable value.

12. The calculation is The system of claim 10, further comprising, based on determining that the number of mismatches exceeds the predetermined mismatch threshold number, encoding, by one or more computers, a list of positions of the reference sequence corresponding to each position of the mismatch relative to the reference sequence using an information entropy reduction encoding process.

13. The calculation is The system of claim 10, further comprising encoding, by one or more computers, at least a portion of the read record using information entropy reduction encoding based on determining that the read record corresponds to a read that is completely mapped to the reference sequence.

14. 1. A computer readable storage device having stored thereon instructions that, when executed by a data processing apparatus, cause the data processing apparatus to perform an operation for compressing genomic sequence data, the operation comprising: accessing a storage device that stores a plurality of read records in a manner that preserves an ordering of the read records as generated by the mapping and alignment module, each of the plurality of read records corresponding to a completely mapped read or an incompletely mapped read; For each particular lead record of the plurality of lead records, obtaining the specific read record generated based on data output by the mapping and alignment module, the specific read record including data indicating whether a read corresponding to the specific read record is completely mapped or incompletely mapped; determining whether the particular read record corresponds to a read that is completely mapped to a reference sequence or that is incompletely mapped to the reference sequence based on the particular read record; Based on determining that the particular read record corresponds to a read that is incompletely mapped to the reference sequence, determining whether a number of mismatches of the incompletely mapped read does not exceed a predetermined mismatch threshold number; based on determining that the number of mismatches does not exceed the predetermined mismatch threshold number, encoding each mismatch of the incompletely mapped read into a compressed read having one byte; storing the compressed records within the storage device in a manner that preserves the ordering of the plurality of read records.

15. Each lead record of the plurality of lead records comprises: Data indicating the absolute start position of the aligned reads with respect to the reference sequence; Data indicating the length of the read; data indicating the number of mismatches identified in the reads; data indicating whether the read includes at least one undetermined base N; Data indicating the number of undetermined bases N in the read; data indicating whether the read is mapped or unmapped; data indicating the position of the lead record in an array of lead records output by the mapping and alignment module; and data indicating a relative location of a possible mismatch in the read.

16. Encoding each mismatch of the incompletely mapped read into a compressed record having a size of 1 byte includes, for each particular mismatch: encoding the first two bits of said byte to contain data indicative of an alternative nucleotide or base present in said read in place of a corresponding reference nucleotide or base in said reference sequence; and encoding the remaining 6 bits of the byte to contain data indicating a position of a mismatch in the reference sequence, the position being calculated as an offset from a preceding mismatch in the read.

17. The calculation is determining whether the offset is greater than a maximum codable value; 17. The computer-readable storage device of claim 16, further comprising: inserting at least one false mismatch between the particular mismatch and the preceding mismatch based on determining that the offset is greater than the maximum encodable value.

18. The calculation is The computer-readable storage device of claim 16, further comprising: encoding a list of positions of the reference sequence corresponding to each position of the mismatches relative to the reference sequence using an information entropy reduction encoding process based on determining that the number of mismatches exceeds the predetermined mismatch threshold number.

19. The calculation is 17. The computer-readable storage device of claim 16, further comprising encoding at least a portion of the read record using information entropy reduction encoding based on determining that the read record corresponds to a read that is fully mapped to the reference sequence.

20. 1. A hardware processor comprising hardware processing circuitry configured to perform one or more operations, the one or more operations comprising: accessing, by the hardware processing circuitry, a storage device that stores a plurality of read records in a manner that preserves an ordering of the read records as generated by the mapping and alignment module, each of the plurality of read records corresponding to a completely mapped read or an incompletely mapped read; For each particular lead record of the plurality of lead records, obtaining, by the hardware processing circuitry, the specific read record generated based on data output by the mapping and alignment module, the specific read record including data indicating whether a read corresponding to the specific read record is completely mapped or incompletely mapped; determining, by the hardware processing circuitry, based on the particular read record, whether the particular read record corresponds to a read that is completely mapped to a reference sequence or that is incompletely mapped to the reference sequence; determining, by the hardware processing circuitry, whether a number of mismatches in the incompletely mapped reads does not exceed a predetermined mismatch threshold number based on the determination by the hardware processing circuitry that the incompletely mapped reads correspond to the reference sequence; encoding, by the hardware processing circuitry, each mismatch of the incompletely mapped read into a compressed read having one byte based on determining that the number of mismatches does not exceed the predetermined mismatch threshold number; storing, by the hardware processing circuitry, the compressed records within the storage device in a manner that preserves the ordering of the plurality of read records.

21. Each lead record of the plurality of lead records comprises: Data indicating the absolute start position of the aligned reads with respect to the reference sequence; Data indicating the length of the read; data indicating the number of mismatches identified in the reads; data indicating whether the read includes at least one undetermined base N; Data indicating the number of undetermined bases N in the read; data indicating whether the read is mapped or unmapped; data indicating the position of the lead record in an array of lead records output by the mapping and alignment module; and data indicative of a relative location of a possible mismatch in the read.

22. Encoding each mismatch of the incompletely mapped read into a compressed record having a size of 1 byte includes, for each particular mismatch: encoding, by the hardware processing circuitry, the first two bits of the byte to contain data indicative of an alternative nucleotide or base present in the read in place of a corresponding reference nucleotide or base in the reference sequence; and encoding, by the hardware processing circuitry, the remaining 6 bits of the byte to contain data indicating a location of a mismatch in the reference sequence, the location being calculated as an offset from a previous mismatch in the read.

23. The hardware processor includes: determining, by the hardware processing circuitry, whether the offset is greater than a maximum codable value; 23. The hardware processor of claim 22, further comprising: inserting, by the hardware processing circuitry, at least one false mismatch between the particular mismatch and the previous mismatch based on determining that the offset is greater than the maximum codeable value.

24. The hardware processor includes:

23. The hardware processor of claim 22, further comprising, based on determining that the number of mismatches exceeds the predetermined mismatch threshold number, encoding, by the hardware processing circuitry, a list of positions of the reference sequence that correspond to each position of the mismatch relative to the reference sequence using an information entropy reduction encoding process.

25. The hardware processor includes:

23. The hardware processor of claim 22, further comprising: encoding, by the hardware processing circuitry, at least a portion of the read record using information entropy reduction encoding based on determining that the read record corresponds to a read that is fully mapped to the reference sequence.

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