ARYLK CARBON HYDROGEN RECEPTOR MODULATORS AND THEIR USES

Description

[0001] Inflammatory bowel disease (IBD) is an umbrella term used to describe disorders that involve chronic inflammation of the digestive tract, and as such can be considered a metabolic disorder, an immune disorder, and an inflammatory disease. Inflammatory bowel disease is the consequence of a sustained inflammatory response to commensal microorganisms in a genetically susceptible host with excessive production of proinflammatory cytokines, such as TNFα and IL-1β (1, 2). As a consequence, interventions designed to induce and maintain remission of active disease have largely focused on the use of T cell suppressive agents, such as corticosteroids, azathioprine, and 6-mercaptopurine, among others; all of which have been limited by toxicity (3-10). Most recently, biologics targeting specific cytokines, such as TNFα, or the α4β7 receptor have been introduced as disease-modifying drugs (11-17). While higher rates of remission and mucosal healing have been observed, these agents have been limited by an increased risk of infection, malignancy, reduced efficacy due to the development of anti-drug antibodies, and high cost (15, 18, 19). All told, one-third of patients with IBD do not respond appropriately to existing therapies (20, 21). Recent evidence now suggests that the exacerbated inflammatory response observed in IBD is initiated and maintained by loss of gut epithelial integrity manifest by increased barrier permeability, impaired mucin production, and reduced secretion of antimicrobial peptides with an ensuing dysbiosis and accompanying bacterial translocation and invasion (22-30). However, current therapies for IBD are often ineffective despite the use of immunosuppressive agents and recently developed biologic drugs.

[0002] The aryl hydrocarbon receptor (AHR) is a member of the basic-helix-loop-helix (bHLH) / Per-Arnt-Sim (PAS) family of transcription factors, which is bound to several co-chaperones and present in an inactive form in the cytosol (84). Upon ligand binding, AHR dissociates from its chaperones and translocates to the nucleus, where it dimerizes with the aryl hydrocarbon receptor nuclear translocator (ARNT) to induce gene transcription. AHR is an essential regulator of the gut innate immune system and mediates processes responsible for microbial homeostasis, enabling commensal bacteria to outcompete pathogenic bacteria, as well as those events that support gut tissue integrity and promote epithelial repair (59, 79, 81, 84-87). In large measure, AHR accomplishes these outcomes by regulating the expression of IL-22 (58, 59, 80-82). IL-22 is produced in mice and humans by ILC3 cells (36, 37, 47, 77, 82, 88, 89) and γδ T cells (31, 33, 50) but can also be produced in the gut by Th17 cells (90, 91), all in response to AHR activation (58, 59, 80-82). AHR-deficient mice display reduced expression of IL-22, dysbiosis, and an increased risk of bacterial infection and colitis (78, 79, 81, 82) and genome-wide association studies have also identified AHR as a susceptibility locus for IBD (92, 93). These effects can be reproduced by diets deficient in AHR ligands or by constitutive expression of CYP1A1 in intestinal epithelial cells, which increases the metabolism of AHR ligands with increased susceptibility to enteric infection (78, 79, 87). In turn, genetic deletion of CYP1 enzymes delays ligand metabolism with increased protection against intestinal infection (78, 79, 87). Sources of AHR ligands include dietary compounds (94, 95), microbial virulence factors (96), and metabolites derived through microbiota- or host-mediated tryptophan metabolism (58, 69, 97, 98). Indeed, CARD9-deficient mice exhibit impaired metabolism of tryptophan into AHR ligands, decreased production of IL-22, and increased susceptibility to colitis (69). Impaired microbial production of AHR ligands has also been observed in patients with IBD and correlates with an IBD-associated genetic polymorphism within CARD9 (69). In a recent clinical trial, serum levels of tryptophan were inversely correlated with serum levels of IL-22 and the severity of IBD in patients with Crohn's disease and ulcerative colitis (65).

[0003] Endogenous AHR agonists are derived from a variety of dietary metabolites, including tryptophan, flavonoids, stilbenes, carotenoids, and indoles through microbial- or host-mediated metabolism (58, 69, 99-101). Indeed, the beneficial effect of Lactobacillus species as a commensal organism is likely achieved by metabolic production of AHR ligands (69). For example, L. reuteri and L. johnsonii can generate indole-3-aldehyde, which activates AHR, increases IL-22 production in ILC3 cells, and inhibits dextran sulfate sodium (DSS) induced colitis (58, 102). Although the metabolic route for many indole related AHR ligands has not been well defined, 6-formylindolo[3,2-b]carbazole (FICZ), 3,3'-diindolylmethane (DIM), and 2-(1'H-indole-3'-carbonyl)-thiazole-4-carboxylic acid methyl ester (ITE) ameliorate 2,4,6-trinitrobenzene sulfonic acid- (TNBS-), DSS-, and T cell transfer-induced colitis (97, 103-107). These compounds increase IL-22 production with beneficial effects abrogated by treatment with an IL-22 blocking antibody or an AHR antagonist (69, 80, 83, 103, 108). Adsorbed indole can also be metabolized by the gut microbiota to indirubin, a 3,2'-bisindole isomer, which is the active metabolite in indigo naturalis, a group of Old World plants that have been used in traditional Chinese medicine as a treatment for IBD (109). As a ligand for AHR, indirubin increases expression of IL-22 and reduces disease severity in TNBS and DSS models of colitis, which is not observed in AHR-deficient mice (110). In a recent study, administration of indigo naturalis to 20 patients with UC was associated with 61% mucosal healing and a 72% response rate (109). These reports demonstrate the therapeutic potential of endogenous, indole based, AHR agonists. Nonetheless, the effectiveness of these metabolites and related first generation synthetic derivatives have been limited by a number of factors, including low activity, an undesirable pharmacokinetic profile due to rapid metabolism and short compound half-life, as well as poor biodistribution and off target effects (111-116). WO 2018 / 121434 A1 (05 July 2018) describes certain aryl hydrocarbon receptor modulators and their use in inhibiting the growth of cancer cells and inhibiting tumor cell metastasis and invasion. EP0080814 A1 (08 June 1983) describes certain indole compounds as chromogenic compounds. Zhang et al. (Eur. J. Med. Chem., 2011, Vol. 46, No. 12, pp 6089-6097) describes a chemical synthesis of β-carboline alkaloid pityriacitrin and its derivatives. Dolciami et al. (ChemMedChem, 2018, Vol. 13, No. 3, pp 270-279) describes a structure activity relationship of indole compounds, such as ITE, as an AhR agonists. WO 2007 / 002325 A1 (04 January 2005) describes certain compounds which are active on protein kinases and as methods of using such compounds to treat diseases and conditions associated with aberrant activity of protein kinases. WO 2005 / 062795 A2 (14 July 2005) describes certain 7-azaindole compounds and their binding to Ret protein. Guchhait et al. (Tetrahedron Lett., 2012, Vol. 53, No. 30, pp 3919-3922) describes certain 3-indolylarylketones in the synthesis of indenoindolones. WO 2018 / 039310 A1 (01 March 2018) describes certain pyrrolo(2,3-d)pyrimidine compounds and their use in a a method of treating or preventing a disease in which BTK plays a role. Wynne et al. (Synthesis, 2004, Vol. 2004, No. 14, pp 2277-2282) describes certain indole compounds and their reaction in a Friedel-Crafts acylation. McCoull et al, (MedChemComm, 2014, Vol. 5, No. 10, pp 1533-1539) describes certain 7-azaindole compounds and their potency as PAK1 inhibitors. WO 2019 / 099977 A2 (23 May 2019) describes indole compounds and pharmaceutical compositions thereof, and their use in stimulating the immune system of patients in need thereof and in treating cancer.Summary of the Invention

[0004] The present invention is based on the development of compounds that can bind to and act as aryl hydrocarbon receptor agonists. These compounds can non-covalently bind to aryl hydrocarbon receptors and induce aryl hydrocarbon receptor activity. In contrast to all currently reported small molecule aryl hydrocarbon receptor agonists, these compounds are not as rapidly metabolized as endogenous AHR agonists, allowing for an improved pharmacokinetic profile and sustained AHR activation in vivo. Importantly, these compounds do not appear to be toxic, indicating improved specificity over currently available metabolites and first generation synthetic derivatives. In a first aspect, the present invention provides a compound of Formula (II-a ): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein: X 1< is N or CR A< ; R X< is hydrogen, substituted or unsubstituted alkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted acyl, or a nitrogen protecting group; each instance of R A< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR A1< , -N(R A1< ) 2 , -SR A1< , -CN, -C(R A1< ) 3 , -SCN, -C(=NR A1< )R A1< , -C(=NR A1< )OR A1< , -C(=NR A1< )N(R A1< ) 2 , -C(=O)R A1< , -C(=O)OR A1< , -C(=O)N(R A1< ) 2 , -NO 2 , -NR A1< C(=O)R A1< , -NR A1< C(=O)OR A1< , -NR A1< C(=O)N(R A1< ) 2 , -OC(=O)R A1< , -OC(=O)OR A1< , or -OC(=O)N(R A1< ) 2 , or two R A< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R B< is halogen, C 1-6 alkyl substituted with at least one halogen, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR B1< , -N(R B1< ) 2 , -SR B1< , -CN, -C(R B1< ) 3 , -SCN, -C(=NR B1< )R B1< , -C(=NR B1< )OR B1< , -C(=NR B1< )N(R B1< ) 2 , -C(=O)OR B1< , -C(=O)N(R B1< ) 2 , -NO 2 , -NR B1< C(=O)R B1< , -NR B1< C(=O)OR B1< , -NR B1< C(=O)N(R B1< ) 2 , -OC(=O)R B1< , -OC(=O)OR B1< , or-OC(=O)N(R B1< ) 2 ; each instance of R B1< is independently hydrogen, halogen, substituted or unsubstituted C 2-6 alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R C< is hydrogen each instance of R Z< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR Z1< , -N(R Z1< ) 2 , -SR Z1< , -CN, -C(R Z1< ) 3 , -SCN, -C(=NR Z1< )R Z1< , -C(=NR Z1< )OR Z1< , -C(=NR Z1< )N(R Z1< ) 2 , -C(=O)R Z1< , -C(=O)OR Z1< , -C(=O)N(R Z1< ) 2 , -NO 2 , -NR Z1< C(=O)R Z1< , -NR Z1< C(=O)OR Z1< , -NR Z1< C(=O)N(R Z1< ) 2 , -OC(=O)R Z1< , -OC(=O)OR Z1< , or -OC(=O)N(R Z1< ) 2 ; and each instance of R Z1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R Z1< groups bonded to the same nitrogen atom are joined to form a substituted or unsubstituted heterocyclic or substituted or unsubstituted heteroaryl ring; m is 0, 1, 2, or 3; r is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -OR aa< , -N(R cc< ) 2 , -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , C 1-10 alkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of an oxygen protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of a sulfur protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of R aa< is, independently, selected from C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R aa< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R bb< is, independently, selected from hydrogen, -OH, -OR aa< , -N(R cc< ) 2 , -CN, -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O) 2 N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R bb< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R cc< is, independently, selected from hydrogen, C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R dd< is, independently, selected from halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OR ee< , -ON(R ff< ) 2 , -N(R ff< ) 2 , -N(R ff< ) 3 +< X -< , -N(OR ee< )R ff< , -SH, -SR ee< , -SSR ee< , -C(=O)R ee< , -CO 2 H, -CO 2 R ee< , -OC(=O)R ee< , -OCO 2 R ee< , -C(=O)N(R ff< ) 2 , -OC(=O)N(R ff< ) 2 , -NR ff< C(=O)R ee< , -NR ff< CO 2 R ee< , -NR ff< C(=O)N(R ff< ) 2 , -C(=NR ff< )OR ee< , -OC(=NR ff< )R ee< , -OC(=NR ff< )OR ee< , -C(=NR ff< )N(R ff< ) 2 , -OC(=NR ff< )N(R ff< ) 2 , -NR ff< C(=NR ff< )N(R ff< ) 2 ,-NR ff< SO 2 R ee< , -SO 2 N(R ff< ) 2 , -SO 2 R ee< , -SO 2 OR ee< , -OSO 2 R ee< , -S(=O)R ee< , -Si(R ee< ) 3 , -OSi(R ee< ) 3 , -C(=S)N(R ff< ) 2 , -C(=O)SR ee< , -C(=S)SR ee< , -SC(=S)SR ee< , -P(=O) 2 R ee< , -P(=O)(R ee< ) 2 , -OP(=O)(R ee< ) 2 , -OP(=O)(OR ee< ) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups, or two geminal R dd< substituents can be joined to form =O or =S; each instance of R ee< is, independently, selected from C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; each instance of R ff< is, independently, selected from hydrogen, C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, or two R ff< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; and each instance of R gg< is, independently, halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OC 1-6 alkyl, -ON(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 3 +< X -< , -NH(C 1-6 alkyl) 2 , -NH 2 (C 1-6 alkyl) +< X -< , -NH 3 +< X -< , -N(OC 1-6 alkyl)(C 1-6 alkyl), -N(OH)(C 1-6 alkyl), -NH(OH), -SH, -SC 1-6 alkyl, -SS(C 1-6 alkyl), -C(=O)(C 1-6 alkyl), -CO 2 H, -CO 2 (C 1-6 alkyl), -OC(=O)(C 1-6 alkyl), -OCO 2 (C 1-6 alkyl), -C(=O)NH 2 , -C(=O)N(C 1-6 alkyl) 2 , -OC(=O)NH(C 1-6 alkyl), -NHC(=O)( C 1-6 alkyl), -N(C 1-6 alkyl)C(=O)( C 1-6 alkyl), -NHCO 2 (C 1-6 alkyl), -NHC(=O)N(C 1-6 alkyl) 2 , -NHC(=O)NH(C 1-6 alkyl), -NHC(=O)NH 2 , -C(=NH)O(C 1-6 alkyl),-OC(=NH)(C 1-6 alkyl), -OC(=NH)OC 1-6 alkyl, -C(=NH)N(C 1-6 alkyl) 2 , -C(=NH)NH(C 1-6 alkyl), -C(=NH)NH 2 , -OC(=NH)N(C 1-6 alkyl) 2 , -OC(NH)NH(C 1-6 alkyl), -OC(NH)NH 2 , -NHC(NH)N(C 1-6 alkyl) 2 , -NHC(=NH)NH 2 , -NHSO 2 (C 1-6 alkyl), -SO 2 N(C 1-6 alkyl) 2 , -SO 2 NH(C 1-6 alkyl), -SO 2 NH 2 ,-SO 2 C 1-6 alkyl, -SO 2 OC 1-6 alkyl, -OSO 2 C 1-6 alkyl, -SOC 1-6 alkyl, -Si(C 1-6 alkyl) 3 , -OSi(C 1-6 alkyl) 3 -C(=S)N(C 1-6 alkyl) 2 , C(=S)NH(C 1-6 alkyl), C(=S)NH 2 , -C(=O)S(C 1-6 alkyl), -C(=S)SC 1-6 alkyl, -SC(=S)SC 1-6 alkyl, -P(=O) 2 (C 1-6 alkyl), -P(=O)(C 1-6 alkyl) 2 , -OP(=O)(C 1-6 alkyl) 2 , -OP(=O)(OC 1-6 alkyl) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal R gg< substituents can be joined to form =O or =S; wherein X -< is a counterion; with the proviso that the compound is not In a second aspect, the present inventin provides a compound of Formula (III-ai): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein: Z 1< is S; X 1< is CR A< ; R X< is hydrogen; each instance of R A< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroaryl, -OR A1< , -N(R A1< ) 2 , -SR A1< , -CN, -C(R A1< ) 3 , -SCN, -C(=NR A1< )R A1< , -C(=NR A1< )OR A1< , -C(=NR A1< )N(R A1< ) 2 , -C(=O)R A1< , -C(=O)OR A1< , -C(=O)N(R A1< ) 2 , -NO 2 , -NR A1< C(=O)R A1< , -NR A1< C(=O)OR A1< , -NR A1< C(=O)N(R A1< ) 2 , -OC(=O)R A1< , -OC(=O)OR A1< , or -OC(=O)N(R A1< ) 2 ; each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of R B< is independently substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR B1< , -N(R B1< ) 2 , -SR B1< , -CN, -C(R B1< ) 3 , -SCN, - C(=NR B1< )R B1< , -C(=NR B1< )OR B1< , -C(=NR B1< )N(R B1< ) 2 , -C(=O)R B1< , -C(=O)OR B1< , -C(=O)N(R B1< ) 2 , -NO 2 , -NR B1< C(=O)R B1< , -NR B1< C(=O)OR B1< , -NR B1< C(=O)N(R B1< ) 2 , -OC(=O)R B1< , -OC(=O)OR B1< , or-OC(=O)N(R B1< ) 2 ; each instance of R B1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R C< is hydrogen; m is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -OR aa< , -N(R cc< ) 2 , -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , C 1-10 alkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of an oxygen protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of a sulfur protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of R aa< is, independently, selected from C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R aa< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R bb< is, independently, selected from hydrogen, -OH, -OR aa< , -N(R cc< ) 2 , -CN, -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O) 2 N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R bb< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R cc< is, independently, selected from hydrogen, C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R dd< is, independently, selected from halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OR ee< , -ON(R ff< ) 2 , -N(R ff< ) 2 , -N(R ff< ) 3 +< X -< , -N(OR ee< )R ff< , -SH, -SR ee< , -SSR ee< , -C(=O)R ee< , -CO 2 H, -CO 2 R ee< , -OC(=O)R ee< , -OCO 2 R ee< , -C(=O)N(R ff< ) 2 , -OC(=O)N(R ff< ) 2 , -NR ff< C(=O)R ee< , -NR ff< CO 2 R ee< , -NR ff< C(=O)N(R ff< ) 2 , -C(=NR ff< )OR ee< , -OC(=NR ff< )R ee< , -OC(=NR ff< )OR ee< , -C(=NR ff< )N(R ff< ) 2 , -OC(=NR ff< )N(R ff< ) 2 , -NR ff< C(=NR ff< )N(R ff< ) 2 ,-NR ff< SO 2 R ee< , -SO 2 N(R ff< ) 2 , -SO 2 R ee< , -SO 2 OR ee< , -OSO 2 R ee< , -S(=O)R ee< , -Si(R ee< ) 3 , -OSi(R ee< ) 3 , -C(=S)N(R ff< ) 2 , -C(=O)SR ee< , -C(=S)SR ee< , -SC(=S)SR ee< , -P(=O) 2 R ee< , -P(=O)(R ee< ) 2 , -OP(=O)(R ee< ) 2 , -OP(=O)(OR ee< ) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups, or two geminal R dd< substituents can be joined to form =O or =S; each instance of R ee< is, independently, selected from C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; each instance of R ff< is, independently, selected from hydrogen, C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, or two R ff< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; and each instance of R gg< is, independently, halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OC 1-6 alkyl, -ON(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 3 +< X -< , -NH(C 1-6 alkyl) 2 +< X -< , -NH 2 (C 1-6 alkyl) +< X -< , -NH 3 +< X -< , -N(OC 1-6 alkyl)(C 1-6 alkyl), -N(OH)(C 1-6 alkyl), -NH(OH), -SH, -SC 1-6 alkyl, -SS(C 1-6 alkyl), -C(=O)(C 1-6 alkyl), -CO 2 H, -CO 2 (C 1-6 alkyl), -OC(=O)(C 1-6 alkyl), -OCO 2 (C 1-6 alkyl), -C(=O)NH 2 , -C(=O)N(C 1-6 alkyl) 2 , -OC(=O)NH(C 1-6 alkyl), -NHC(=O)( C 1-6 alkyl), -N(C 1-6 alkyl)C(=O)( C 1-6 alkyl), -NHCO 2 (C 1-6 alkyl), -NHC(=O)N(C 1-6 alkyl) 2 , -NHC(=O)NH(C 1-6 alkyl), -NHC(=O)NH 2 , -C(=NH)O(C 1-6 alkyl),-OC(=NH)(C 1-6 alkyl), -OC(=NH)OC 1-6 alkyl, -C(=NH)N(C 1-6 alkyl) 2 , -C(=NH)NH(C 1-6 alkyl), -C(=NH)NH 2 , -OC(=NH)N(C 1-6 alkyl) 2 , -OC(NH)NH(C 1-6 alkyl), -OC(NH)NH 2 , -NHC(NH)N(C 1-6 alkyl) 2 , -NHC(=NH)NH 2 , -NHSO 2 (C 1-6 alkyl), -SO 2 N(C 1-6 alkyl) 2 , -SO 2 NH(C 1-6 alkyl), -SO 2 NH 2 ,-SO 2 C 1-6 alkyl, -SO 2 OC 1-6 alkyl, -OSO 2 C 1-6 alkyl, -SOC 1-6 alkyl, -Si(C 1-6 alkyl) 3 , -OSi(C 1-6 alkyl) 3 -C(=S)N(C 1-6 alkyl) 2 , C(=S)NH(C 1-6 alkyl), C(=S)NH 2 , -C(=O)S(C 1-6 alkyl), -C(=S)SC 1-6 alkyl, -SC(=S)SC 1-6 alkyl, -P(=O) 2 (C 1-6 alkyl), -P(=O)(C 1-6 alkyl) 2 , -OP(=O)(C 1-6 alkyl) 2 , -OP(=O)(OC 1-6 alkyl) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal R gg< substituents can be joined to form =O or =S; wherein X -< is a counterion. In a third aspect, the present invetnion provides a compound selected from: and pharmaceutically acceptable salts, solvates, hydrates, stereoisomers, tautomers, isotopically labeled derivatives, and polymorphs thereof.

[0005] In a fourth aspect, the present invention provides pharmaceutical compositions comprising a compound of the first, second, or third aspect, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, and a pharmaceutically acceptable excipient. The pharmaceutical composition may be useful in treating a disease or condition associated with the activity of an aryl hydrocarbon receptor, such as, for example, an inflammatory disease, an autoimmune disease, a metabolic disorder, or a proliferative disease. In some embodiments, the compound of the first, second, or third aspect, or pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph, or pharmaceutical composition thereof, is formulated for oral administ ration to a subject in need thereof. In a fifth aspect, the present invention provides compounds of the first, second, or third aspect, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, or a pharmaceutical composition of the fourth aspect, for use in a method of treatment, wherein the treatment involves: (i) modulating an aryl hydrocarbon receptor of a cell, optionally wherein the activity of the aryl hydrocarbon receptor of the cell increases in the presence of the compound; (ii) increasing expression of a gene in a cell, optionally wherein the gene is CYP1A1, CYPIA2, CYPIBI, ALDH3A1, NQOI, UGT1A1, Muc1, Muc3, or Bcl21, preferably wherein the gene is CYP1A1; (iii) regulating the expression of an interleukin in a cell, optionally wherein expression of the interleukin is increased; (iv) regulating secretion of an interleukin from a cell, optionally wherein secretion of the interleukin is increased, optionally wherein the interleukin is interleukin 22 (IL-22) or interleukin 10 (IL-10); (v) modulating the function of an immune cell, optionally wherein the immune cell is a T cell, a mast cell, a natural killer cell, a B cell, or an innate lymphoid cell, optionally wherein the T cell is a regulatory T (T reg ) cell or a helper T (T H ) cell, and optionally wherein the helper T (T H ) cell is a T H 17 cell or a T H 22 cell; (vi) modulating the function of a γδT cell; and / or (vii) modulating the function of an epithelial cell, optionally wherein the epithelial cell is an intestinal epithelial cell.

[0006] In a sixth aspect, the present invention provides compounds of the first, second, or third aspect, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, or a pharmaceutical composition of the fourth aspect, for use in a method of treating a disease or condition associated with the activity of an aryl hydrocarbon receptor, optionally wherein the disease or condition is one of the following: (i) an inflammatory disease, optionally wherein the inflammatory disease is colitis, inflammatory bowel disease, Crohn's disease, rheumatoid arthritis, multiple sclerosis, psoriasis, dermatitis, pancreatitis, insulitis, atherosclerosis, or graft versus host disease, optionally wherein the colitis is ulcerative colitis; (ii) an inflammatory disease selected from allergies and allergic reactions, asthma, and chronic obstructive pulmonary disease (COPD); (iii) an autoimmune disease; (iv) a metabolic disorder, optionally wherein the metabolic disorder is metabolic syndrome, type II diabetes, or steatosis; (v) type I diabetes; or (vi) a proliferative disease, optionally wherein the proliferative disease is cancer, optionally wherein the cancer is stomach cancer, breast cancer, skin cancer, ovarian cancer, pancreatic cancer, liver cancer, or a hematopoietic cancer; (vii) a cancer selected from acute myelocytic leukemia (AML) and chronic myelocytic leukemia (CML); or (vii) a cancer selected from kidney cancer, lung cancer, head and neck cancer, brain cancer, and colorectal cancer, optionally wherein the colorectal cancer is colitis-associated cancer. In certain embodiments, the disease or condition being treated is an inflammatory disease, an autoimmune disease, a metabolic disorder, or a proliferative disease.

[0007] The details of one or more embodiments of the invention are set forth in the accompanying Figures, the Detailed Description, and the Examples. Other features, objects, and advantages of the invention will be apparent from the description and from the claims.Brief Description of the Drawings

[0008] Figures 1A-1G show representative experiments performed for aryl hydrocarbon receptor modulators. Figure 1A shows an AHR XRE luciferase assay in human hepG2 cells used to identify potent AHR agonists from a diverse library of novel (1H-indole-3-carbonyl)benzenes, 1H-indole-3-carbonyl)pyridines, (1H-indole-3-carbonyl)pyrimidines. Figure 1B shows representative compounds from the screening library that showed remarkable structural requirements for activity with EC 50 ranging from 3.2 nM for the pyridine compound (#10) to >10,000 nM for e.g. the benzene compound (#202). Figure 1C shows the AHR homology model built from long time scale MD simulation in the presence of compound #10. Key amino acids that form the ligand binding domain are labeled and their side chains are presented as sticks. The molecular surface area of compound #10 is displayed in blue. Figure 1D shows that active compounds (top) adopt low energy conformers that are distinctive from inactive analogs (bottom). Figure 1E shows plasma microsomal stability of AHR agonists quantified by LCMS / MS analysis. Figure 1F shows liver microsomal stability of AHR agonists quantified by LCMS / MS analysis. Figure 1G shows structures and activity data of representative analogs replacing the label ester moiety. The plasma and liver microsomal stability of compound #108, #109, and #113 are shown in Figure 1E and Figure 1F, respectively. Figure 2A-2E shows biological characterization of lead compounds in vitro and after oral administration. Figures 2A and 2B show that nuclear translocation of AhR is induced by ITE and compounds 108 and 109. Mouse Hepa-1c1c7 cells (Figure 2A) or human HepG2 (Figure 2B) were treated with vehicle control (DMSO) or 10µM of ITE, compound 108, or compound 109 for 90 minutes. AhR (green), actin (red) and nucleus (blue) were stained and examined by confocal microscopy. AhR is distributed in cytoplasm of vehicle control treated cells and localized in the nucleus of cells treated with ITE, compound 108, and compound 109. Top row AhR (green), bottom row merge. Figure 2C shows compounds 108 and 109 induced AhR-dependent cyp1a1 expression in mouse Hepa-1c1c7 cells. Cells were treated with vehicle control (DMSO) or 10nM-10µM ITE, compound 108, or compound 109 for 8 hours, qPCR was performed against cyp1a1 with 18S as internal reference. Compound 109 was chosen for further pharmacokinetic / pharmacodynamic studies in the mouse. Vehicle control or 109 (0.1ug -1mg) were administered to mice via oral gavage, 12 h later, organs and blood were harvested for qPCR analysis of cyp1a1 induction with 18S as internal reference gene. Figure 2D shows that compound 109 induced dose-dependent cyp1a1 in liver and colon tissue. Figure 2E shows limited cyp1a1 induction was observed in spleen and induction in circulating WBC was only observed at highest administered dose. mean ± s.e.m., *p < 0.05 versus control, #p < 0.05 versus ITE. Figures 3A-3M show that compound 109 attenuates DSS induced colitis in mice. Mice were supplied with 3% DSS in drinking water for 7 days followed by 13 days of recovery. Compound 109 (1µg) or vehicle control (Ctrl) were administered daily by oral gavage. Survival (Figure 3A), body weight (Figure 3B), and disease activity score (Figure 3C) were recorded, data represent 3 independent trials with n=7 / group / trial. Figure 3D shows colon lengths measured on day 11. Figure 3E shows representative haemotoxylin and eosin (H&E) staining (100X) and Figure 3F shows histological score at day 11. Figure 3G shows colon goblet cells stained by periodic acid-Schiff and alcian blue and quantified at day 11, results are reported as goblet cell number per mm colon length (Figure 3H). Colon IL-22 was significantly upregulated in 109-treated mice at day 7 and 11 as characterized by qPCR (Figure 3I) and flow cytometry staining (Figure 3J and 3K) of explant lamina propria mononuclear cells (LPMC). IL-22+ effecter cell types were determined using intracellular staining of IL-22 in combination with T helper staining (CD3+CD4+) or ILC3 staining (CD3-RORrt+) after 8 hours of ex vivo cytokine stimulation with Golgi inhibitor. Figures 3L and 3M show IL-22 responsive antimicrobial peptide mRNA expression was characterized in the colon epithelial fraction at day 0, 7, and 11. Data represent mean ± s.e.m., *p < 0.05 versus control. Figures 4A-4C show DSS colitis histological scoring. H&E staining was performed to characterize inflammation and crypt loss. For scoring, 3 transverse sections of swiss roll colon were selected and 9 (100X) images recorded (Figure 4A, representative capture from healthy control colon). Images were analyzed and scored by a blind observer as follows. For inflammation scoring (Figure 4B), 0: rare inflammatory cells in the lamina propria; 1: increased numbers of inflammatory cells in the lamina propria; 2: confluence of inflammatory cells extending in to the submucosa; 3: transmural extension of the inflammatory infiltrate. For crypt lost scoring (Figure 4C), 0: none; 1: basal 1 / 3 damaged; 2: basal 2 / 3 damaged; 3: only surface epithelium intact; 4: entire crypt and epithelium lost. Inflammation and crypt loss were separately scored and then multiplied by affected area (1: 0-25%; 2: 25.1-50% affected; 3: 50.1-75% affected; 4: > 75% affected). Data represent mean ± s.e.m., *p < 0.05 versus control. Figures 5A-5I show mRNA expression in DSS induced colitis. Mice were supplied with 3% DSS in drinking water for 7 days followed by 13 days of recovery. 109 (1µg) or vehicle control (Ctrl) were administered daily by oral gavage. Figure 5A shows AhR-responsive gene cyp1a1 was significantly induced in compound 109 treated mice at day 7 and 1,1 while no significant difference between AhR expression (Figure 5B) was noted between groups. Figures 5C-5F show that no compound 109-dependent expression of inflammatory mediators characterized in whole colon was observed at day 7 and 11: TNF-α (Figure 5C), IFN-γ (Figure 5D), IL-10 (Figure 5E), and Foxp3 (Figure 5F). Figures 5G-5I show that moderate differences in expression were observed in markers of epithelial barrier function, characterized in colon epithelial fraction at day 7 and 11: Muc1 (Figure 5G), Muc3 (Figure 5H), Bcl21 (Figure 5I). Data represent mean ± s.e.m., n = 5 / group, *p < 0.05 versus control. Figures 6A-6C show that compound 108 attenuates DSS induced colitis in mice. Mice were supplied with 3% DSS in drinking water for 7 days followed by 13 days of recovery. 108 (1µg) or vehicle control (Ctrl) were administered daily by oral gavage. Survival (Figure 6A), body weight (Figure 6B) and disease activity score (Figure 6C) were recorded, data represent 3 independent trials with n=7 / group / trial. Data represent mean ± s.e.m., *p < 0.05 versus control. Figures 7A-7D show in vitro induction of IL-22 by compound 109. CD4+ T helper cells were purified from mouse spleen, activated by CD3 / CD28 ligation in Th-17 polarization medium and treated with vehicle or 1µM of ITE for 3 days. Figures 7A and 7B show intracellular IL-22 staining performed together with T helper markers (CD3+CD4+). Lamina propria cells were isolated from mouse colons and treated with vehicle or 1µM of ITE and IL-I+IL-23 for 3 days. Figures 7A, 7C, and 7D show Intracellular IL-22 staining performed together with T helper markers (CD3+CD4+) (Figure 7C) or ILC markers (CD3-RORrt+) (Figure 7D). Data represent mean ± s.e.m., n = 5 / group, *p < 0.05 versus control. Definitions Chemical definitions

[0009] Definitions of specific functional groups and chemical terms are described in more detail below. The chemical elements are identified in accordance with the Periodic Table of the Elements, CAS version, Handbook of Chemistry and Physics, 75 th< Ed., inside cover, and specific functional groups are generally defined as described therein. Additionally, general principles of organic chemistry, as well as specific functional moieties and reactivity, are described in Organic Chemistry, Thomas Sorrell, University Science Books, Sausalito, 1999; Smith and March March's Advanced Organic Chemistry, 5th Edition, John Wiley & Sons, Inc., New York, 2001; Larock, Comprehensive Organic Transformations, VCH Publishers, Inc., New York, 1989; and Carruthers, Some Modern Methods of Organic Synthesis, 3rd Edition, Cambridge University Press, Cambridge, 1987.

[0010] Compounds described herein can comprise one or more asymmetric centers, and thus can exist in various stereoisomeric forms, e.g., enantiomers and / or diastereomers. For example, the compounds described herein can be in the form of an individual enantiomer, diastereomer or geometric isomer, or can be in the form of a mixture of stereoisomers, including racemic mixtures and mixtures enriched in one or more stereoisomer. "Racemic" refers to a compound in which the percent by weight of one enantiomer is equal to the percent by weight of the other enantiomer.

[0011] The terms "enantiomerically enriched," "enantiomerically pure," and "non-racemic," as used interchangeably herein, refer to a compound in which the percent by weight of one enantiomer is greater than the amount of that one enantiomer compared to a control mixture of the racemic composition (e.g., greater than 1:1 by weight). For example, an enantiomerically enriched enantiomer, means a compound having greater than 50% by weight of one enantiomer relative to the other enantiomer, e.g., at least 75% by weight, or at least 80% by weight. In some embodiments, the enrichment can be much greater than 80% by weight, providing a "substantially enantiomerically enriched," "substantially enantiomerically pure" or a "substantially non-racemic" compound, which refers to a compound with at least 85% by weight of one enantiomer relative to other enantiomer, e.g., at least 90% by weight, or at least 95% by weight.

[0012] Enantiomers can be isolated from mixtures by methods known to those skilled in the art, including chiral high pressure liquid chromatography (HPLC) and the formation and crystallization of chiral salts; or preferred enantiomers can be prepared by asymmetric syntheses. See, for example, Jacques, et al., Enantiomers, Racemates and Resolutions (Wiley Interscience, New York, 1981); Wilen, S.H., et al., Tetrahedron 33:2725 (1977); Eliel, E.L. Stereochemistry of Carbon Compounds (McGraw-Hill, NY, 1962); and Wilen, S.H. Tables of Resolving Agents and Optical Resolutions p. 268 (E.L. Eliel, Ed., Univ. of Notre Dame Press, Notre Dame, IN 1972).

[0013] When a range of values is listed, it is intended to encompass each value and sub-range within the range. For example "C 1-6 alkyl" is intended to encompass, C 1 , C 2 , C 3 , C 4 , C 5 , C 6 , C 1-6 , C 1-5 , C 1-4 , C 1-3 , C 1-2 , C 2-6 , C 2-5 , C 2-4 , C 2-3 , C 3-6 , C 3-5 , C 3-4 , C 4-6 , C 4-5 , and C 5-6 alkyl.

[0014] As used herein, "alkyl" refers to a radical of a straight-chain or branched saturated hydrocarbon group having from 1 to 10 carbon atoms ("C 1-10 alkyl"). In some embodiments, an alkyl group has 1 to 9 carbon atoms ("C 1-9 alkyl"). In some embodiments, an alkyl group has 1 to 8 carbon atoms ("C 1-8 alkyl"). In some embodiments, an alkyl group has 1 to 7 carbon atoms ("C 1-7 alkyl"). In some embodiments, an alkyl group has 1 to 6 carbon atoms ("C 1-6 alkyl"). In some embodiments, an alkyl group has 1 to 5 carbon atoms ("C 1-5 alkyl"). In some embodiments, an alkyl group has 1 to 4 carbon atoms ("C 1-4 alkyl"). In some embodiments, an alkyl group has 1 to 3 carbon atoms ("C 1-3 alkyl"). In some embodiments, an alkyl group has 1 to 2 carbon atoms ("C 1-2 alkyl"). In some embodiments, an alkyl group has 1 carbon atom ("C 1 alkyl"). In some embodiments, an alkyl group has 2 to 6 carbon atoms ("C 2-6 alkyl"). Examples of C 1-6 alkyl groups include methyl (C 1 ), ethyl (C 2 ), n-propyl (C 3 ), isopropyl (C 3 ), n-butyl (C 4 ), tert-butyl (C 4 ), sec-butyl (C 4 ), iso-butyl (C 4 ), n-pentyl (C 3 ), 3-pentanyl (C 5 ), amyl (C 5 ), neopentyl (C 5 ), 3-methyl-2-butanyl (C 5 ), tertiary amyl (C 5 ), and n-hexyl (C 6 ). Additional examples of alkyl groups include n-heptyl (C 7 ), n-octyl (C 8 ) and the like. Unless otherwise specified, each instance of an alkyl group is independently unsubstituted (an "unsubstituted alkyl") or substituted (a "substituted alkyl") with one or more substituents. In certain embodiments, the alkyl group is an unsubstituted C 1-10 alkyl (e.g., -CH 3 ). In certain embodiments, the alkyl group is a substituted C 1-10 alkyl.

[0015] As used herein, "haloalkyl" is a substituted alkyl group as defined herein wherein one or more of the hydrogen atoms are independently replaced by a halogen, e.g., fluoro, bromo, chloro, or iodo. "Perhaloalkyl" is a subset of haloalkyl, and refers to an alkyl group wherein all of the hydrogen atoms are independently replaced by a halogen, e.g., fluoro, bromo, chloro, or iodo. In some embodiments, the haloalkyl moiety has 1 to 8 carbon atoms ("C 1-8 haloalkyl"). In some embodiments, the haloalkyl moiety has 1 to 6 carbon atoms ("C 1-6 haloalkyl"). In some embodiments, the haloalkyl moiety has 1 to 4 carbon atoms ("C 1-4 haloalkyl"). In some embodiments, the haloalkyl moiety has 1 to 3 carbon atoms ("C 1-3 haloalkyl"). In some embodiments, the haloalkyl moiety has 1 to 2 carbon atoms ("C 1-2 haloalkyl"). In some embodiments, all of the haloalkyl hydrogen atoms are replaced with fluoro to provide a perfluoroalkyl group. In some embodiments, all of the haloalkyl hydrogen atoms are replaced with chloro to provide a "perchloroalkyl" group. Examples of haloalkyl groups include -CF 3 , -CF 2 CF 3 , -CF 2 CF 2 CF 3 , -CCl 3 , -CFCl 2 , -CF 2 Cl, and the like.

[0016] As used herein, "heteroalkyl" refers to an alkyl group as defined herein which further includes at least one heteroatom (e.g., 1, 2, 3, or 4 heteroatoms) selected from oxygen, nitrogen, or sulfur within (i.e., inserted between adjacent carbon atoms of) and / or placed at one or more terminal position(s) of the parent chain. In certain embodiments, a heteroalkyl group refers to a saturated group having from 1 to 10 carbon atoms and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 1-10 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 9 carbon atoms and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 1-9 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 8 carbon atoms and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 1-8 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 7 carbon atoms and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 1-7 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 6 carbon atoms and 1, 2, or 3 heteroatoms within the parent chain ("heteroC 1-6 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 5 carbon atoms and 1 or 2 heteroatoms within the parent chain ("heteroC 1-5 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 4 carbon atoms and 1or 2 heteroatoms within the parent chain ("heteroC 1-4 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 3 carbon atoms and 1 heteroatom within the parent chain ("heteroC 1-3 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 to 2 carbon atoms and 1 heteroatom within the parent chain ("heteroC 1-2 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 1 carbon atom and 1 heteroatom ("heteroC 1 alkyl"). In some embodiments, a heteroalkyl group is a saturated group having 2 to 6 carbon atoms and 1 or 2 heteroatoms within the parent chain ("heteroC 2-6 alkyl"). Unless otherwise specified, each instance of a heteroalkyl group is independently unsubstituted (an "unsubstituted heteroalkyl") or substituted (a "substituted heteroalkyl") with one or more substituents. In certain embodiments, the heteroalkyl group is an unsubstituted heteroC 1-10 alkyl. In certain embodiments, the heteroalkyl group is a substituted heteroC 1-10 alkyl.

[0017] As used herein, "alkenyl" refers to a radical of a straight-chain or branched hydrocarbon group having from 2 to 10 carbon atoms and one or more double bonds (e.g., 1, 2, 3, or 4 double bonds) and no triple bonds. In some embodiments, an alkenyl group has 2 to 9 carbon atoms ("C 2-9 alkenyl"). In some embodiments, an alkenyl group has 2 to 8 carbon atoms ("C 2-8 alkenyl"). In some embodiments, an alkenyl group has 2 to 7 carbon atoms ("C 2-7 alkenyl"). In some embodiments, an alkenyl group has 2 to 6 carbon atoms ("C 2-6 alkenyl"). In some embodiments, an alkenyl group has 2 to 5 carbon atoms ("C 2-5 alkenyl"). In some embodiments, an alkenyl group has 2 to 4 carbon atoms ("C 2-4 alkenyl"). In some embodiments, an alkenyl group has 2 to 3 carbon atoms ("C 2-3 alkenyl"). In some embodiments, an alkenyl group has 2 carbon atoms ("C 2 alkenyl"). The one or more carbon-carbon double bonds can be internal (such as in 2-butenyl) or terminal (such as in 1-butenyl). Examples of C 2-4 alkenyl groups include ethenyl (C 2 ), 1-propenyl (C 3 ), 2-propenyl (C 3 ), 1-butenyl (C 4 ), 2-butenyl (C 4 ), butadienyl (C 4 ), and the like. Examples of C 2-6 alkenyl groups include the aforementioned C 2-4 alkenyl groups as well as pentenyl (C 5 ), pentadienyl (C 5 ), hexenyl (C 6 ), and the like. Additional examples of alkenyl include heptenyl (C 7 ), octenyl (C 8 ), octatrienyl (C 8 ), and the like. Unless otherwise specified, each instance of an alkenyl group is independently unsubstituted (an "unsubstituted alkenyl") or substituted (a "substituted alkenyl") with one or more substituents. In certain embodiments, the alkenyl group is an unsubstituted C 2-10 alkenyl. In certain embodiments, the alkenyl group is a substituted C 2-10 alkenyl.

[0018] As used herein, "heteroalkenyl" refers to an alkenyl group as defined herein which further includes at least one heteroatom (e.g., 1, 2, 3, or 4 heteroatoms) selected from oxygen, nitrogen, or sulfur within (i.e., inserted between adjacent carbon atoms of) and / or placed at one or more terminal position(s) of the parent chain. In certain embodiments, a heteroalkenyl group refers to a group having from 2 to 10 carbon atoms, at least one double bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-10 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 9 carbon atoms at least one double bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-9 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 8 carbon atoms, at least one double bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-8 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 7 carbon atoms, at least one double bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-7 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 6 carbon atoms, at least one double bond, and 1, 2, or 3 heteroatoms within the parent chain ("heteroC 2-6 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 5 carbon atoms, at least one double bond, and 1 or 2 heteroatoms within the parent chain ("heteroC 2-5 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 4 carbon atoms, at least one double bond, and 1or 2 heteroatoms within the parent chain ("heteroC 2-4 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 3 carbon atoms, at least one double bond, and 1 heteroatom within the parent chain ("heteroC 2-3 alkenyl"). In some embodiments, a heteroalkenyl group has 2 to 6 carbon atoms, at least one double bond, and 1 or 2 heteroatoms within the parent chain ("heteroC 2-6 alkenyl"). Unless otherwise specified, each instance of a heteroalkenyl group is independently unsubstituted (an "unsubstituted heteroalkenyl") or substituted (a "substituted heteroalkenyl") with one or more substituents. In certain embodiments, the heteroalkenyl group is an unsubstituted heteroC 2-10 alkenyl. In certain embodiments, the heteroalkenyl group is a substituted heteroC 2-10 alkenyl.

[0019] As used herein, "alkynyl" refers to a radical of a straight-chain or branched hydrocarbon group having from 2 to 10 carbon atoms and one or more triple bonds (e.g., 1, 2, 3, or 4 triple bonds) and optionally one or more double bonds (e.g., 1, 2, 3, or 4 double bonds) ("C 2-10 alkynyl"). An alkynyl group that has one or more triple bonds and one or more double bonds is also referred to as an "ene-yene" group. In some embodiments, an alkynyl group has 2 to 9 carbon atoms ("C 2-9 alkynyl"). In some embodiments, an alkynyl group has 2 to 8 carbon atoms ("C 2-8 alkynyl"). In some embodiments, an alkynyl group has 2 to 7 carbon atoms ("C 2-7 alkynyl"). In some embodiments, an alkynyl group has 2 to 6 carbon atoms ("C 2-6 alkynyl"). In some embodiments, an alkynyl group has 2 to 5 carbon atoms ("C 2-5 alkynyl"). In some embodiments, an alkynyl group has 2 to 4 carbon atoms ("C 2-4 alkynyl"). In some embodiments, an alkynyl group has 2 to 3 carbon atoms ("C 2-3 alkynyl"). In some embodiments, an alkynyl group has 2 carbon atoms ("C 2 alkynyl"). The one or more carbon-carbon triple bonds can be internal (such as in 2-butynyl) or terminal (such as in 1-butynyl). Examples of C 2-4 alkynyl groups include, without limitation, ethynyl (C 2 ), 1-propynyl (C 3 ), 2-propynyl (C 3 ), 1-butynyl (C 4 ), 2-butynyl (C 4 ), and the like. Examples of C 2-6 alkenyl groups include the aforementioned C 2-4 alkynyl groups as well as pentynyl (C 5 ), hexynyl (C 6 ), and the like. Additional examples of alkynyl include heptynyl (C 7 ), octynyl (C 8 ), and the like. Unless otherwise specified, each instance of an alkynyl group is independently unsubstituted (an "unsubstituted alkynyl") or substituted (a "substituted alkynyl") with one or more substituents. In certain embodiments, the alkynyl group is an unsubstituted C 2-10 alkynyl. In certain embodiments, the alkynyl group is a substituted C 2-10 alkynyl.

[0020] As used herein, "heteroalkynyl" refers to an alkynyl group as defined herein which further includes at least one heteroatom (e.g., 1, 2, 3, or 4 heteroatoms) selected from oxygen, nitrogen, or sulfur within (i.e., inserted between adjacent carbon atoms of) and / or placed at one or more terminal position(s) of the parent chain. In certain embodiments, a heteroalkynyl group refers to a group having from 2 to 10 carbon atoms, at least one triple bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-10 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 9 carbon atoms, at least one triple bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-9 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 8 carbon atoms, at least one triple bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-8 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 7 carbon atoms, at least one triple bond, and 1, 2, 3, or 4 heteroatoms within the parent chain ("heteroC 2-7 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 6 carbon atoms, at least one triple bond, and 1, 2, or 3 heteroatoms within the parent chain ("heteroC 2-6 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 5 carbon atoms, at least one triple bond, and 1 or 2 heteroatoms within the parent chain ("heteroC 2-5 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 4 carbon atoms, at least one triple bond, and 1or 2 heteroatoms within the parent chain ("heteroC 2-4 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 3 carbon atoms, at least one triple bond, and 1 heteroatom within the parent chain ("heteroC 2-3 alkynyl"). In some embodiments, a heteroalkynyl group has 2 to 6 carbon atoms, at least one triple bond, and 1 or 2 heteroatoms within the parent chain ("heteroC 2-6 alkynyl"). Unless otherwise specified, each instance of a heteroalkynyl group is independently unsubstituted (an "unsubstituted heteroalkynyl") or substituted (a "substituted heteroalkynyl") with one or more substituents. In certain embodiments, the heteroalkynyl group is an unsubstituted heteroC 2-10 alkynyl. In certain embodiments, the heteroalkynyl group is a substituted heteroC 2-10 alkynyl.

[0021] The term "acyl" refers to a group having the general formula -C(=O)R a< , -C(=O)OR a< , -C(=O)-O-C(=O)R a< , -C(=O)SR a< , -C(=O)N(R a< ) 2 , -C(=S)R a< , -C(=S)N(R a< ) 2 , and - C(=S)S(R a< ), -C(=NR a< )R a< , -C(=NR a< )OR a< , -C(=NR a< )SR a< , and -C(=NR a< )N(R a< ) 2 , wherein R a< is hydrogen; halogen; substituted or unsubstituted hydroxyl; substituted or unsubstituted thiol; substituted or unsubstituted amino; substituted or unsubstituted acyl, cyclic or acyclic, substituted or unsubstituted, branched or unbranched aliphatic; cyclic or acyclic, substituted or unsubstituted, branched or unbranched heteroaliphatic; cyclic or acyclic, substituted or unsubstituted, branched or unbranched alkyl; cyclic or acyclic, substituted or unsubstituted, branched or unbranched alkenyl; substituted or unsubstituted alkynyl; substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, aliphaticoxy, heteroaliphaticoxy, alkyloxy, heteroalkyloxy, aryloxy, heteroaryloxy, aliphaticthioxy, heteroaliphaticthioxy, alkylthioxy, heteroalkylthioxy, arylthioxy, heteroarylthioxy, mono- or di- aliphaticamino, mono- or di- heteroaliphaticamino, mono- or di- alkylamino, mono- or di- heteroalkylamino, mono- or di-arylamino, or mono- or di-heteroarylamino; or two R a< groups taken together form a 5- to 6-membered heterocyclic ring. Exemplary acyl groups include aldehydes (-CHO), carboxylic acids (-CO 2 H), ketones, acyl halides, esters, amides, imines, carbonates, carbamates, and ureas. Acyl substituents include, but are not limited to, any of the substituents described herein, that result in the formation of a stable moiety (e.g., aliphatic, alkyl, alkenyl, alkynyl, heteroaliphatic, heterocyclic, aryl, heteroaryl, acyl, oxo, imino, thiooxo, cyano, isocyano, amino, azido, nitro, hydroxyl, thiol, halo, aliphaticamino, heteroaliphaticamino, alkylamino, heteroalkylamino, arylamino, heteroarylamino, alkylaryl, arylalkyl, aliphaticoxy, heteroaliphaticoxy, alkyloxy, heteroalkyloxy, aryloxy, heteroaryloxy, aliphaticthioxy, heteroaliphaticthioxy, alkylthioxy, heteroalkylthioxy, arylthioxy, heteroarylthioxy, acyloxy, and the like, each of which may or may not be further substituted).

[0022] As used herein, "carbocyclyl" or "carbocyclic" refers to a radical of a non-aromatic cyclic hydrocarbon group having from 3 to 14 ring carbon atoms ("C 3-14 carbocyclyl") and zero heteroatoms in the non-aromatic ring system. In some embodiments, a carbocyclyl group has 3 to 10 ring carbon atoms ("C 3-10 carbocyclyl"). In some embodiments, a carbocyclyl group has 3 to 9 ring carbon atoms ("C 3-9 carbocyclyl"). In some embodiments, a carbocyclyl group has 3 to 8 ring carbon atoms ("C 3-8 carbocyclyl"). In some embodiments, a carbocyclyl group has 3 to 7 ring carbon atoms ("C 3-7 carbocyclyl"). In some embodiments, a carbocyclyl group has 3 to 6 ring carbon atoms ("C 3-6 carbocyclyl"). In some embodiments, a carbocyclyl group has 5 to 10 ring carbon atoms ("C 5-10 carbocyclyl"). Exemplary C 3-6 carbocyclyl groups include, without limitation, cyclopropyl (C 3 ), cyclopropenyl (C 3 ), cyclobutyl (C 4 ), cyclobutenyl (C 4 ), cyclopentyl (C 5 ), cyclopentenyl (C 5 ), cyclohexyl (C 6 ), cyclohexenyl (C 6 ), cyclohexadienyl (C 6 ), and the like. Exemplary C 3-8 carbocyclyl groups include, without limitation, the aforementioned C 3-6 carbocyclyl groups as well as cycloheptyl (C 7 ), cycloheptenyl (C 7 ), cycloheptadienyl (C 7 ), cycloheptatrienyl (C 7 ), cyclooctyl (C 8 ), cyclooctenyl (C 8 ), bicyclo[2.2.1]heptanyl (C 7 ), bicyclo[2.2.2]octanyl (C 8 ), and the like. Exemplary C 3-10 carbocyclyl groups include, without limitation, the aforementioned C 3-8 carbocyclyl groups as well as cyclononyl (C 9 ), cyclononenyl (C 9 ), cyclodecyl (C 10 ), cyclodecenyl (C 10 ), octahydro-1H-indenyl (C 9 ), decahydronaphthalenyl (C 10 ), spiro[4.5]decanyl (C 10 ), and the like. In certain embodiments, the carbocyclyl group is either monocyclic ("monocyclic carbocyclyl") or polycyclic (e.g., containing a fused, bridged or spiro-fused ring system such as a bicyclic system ("bicyclic carbocyclyl") or tricyclic system ("tricyclic carbocyclyl")) and can be saturated or can contain one or more carbon-carbon double or triple bonds. Exemplary fused bicyclic systems include, but are not limited to, decalin (cis or trans decalin). Exemplary fused tricyclic systems include, but are not limited to, fluorenyl. Exemplary spiro-fused bicyclic systems include, but are not limited to, spiropentane. Exemplary bridged bicyclic systems include, but are not limited to, norbornane, norbornene, bicyclo[2.2.2]octane, bicyclo[2.2.2]oct-2-ene, bicyclo[3.2.1]octane, and bicyclo[2.2.1]heptan-2-one. Exemplary bridged tricyclic systems include, but are not limited to adamantane. "Carbocyclyl" includes ring systems wherein the carbocyclyl ring, as defined above, is fused with one or more aryl or heteroaryl groups wherein the point of attachment is on the carbocyclyl ring, and in such instances, the number of carbons continue to designate the number of carbons in the carbocyclic ring system. Unless otherwise specified, each instance of a carbocyclyl group is independently unsubstituted (an "unsubstituted carbocyclyl") or substituted (a "substituted carbocyclyl") with one or more substituents. In certain embodiments, the carbocyclyl group is an unsubstituted C 3-14 carbocyclyl. In certain embodiments, the carbocyclyl group is a substituted C 3-14 carbocyclyl.

[0023] "Carbocyclylalkyl" is a subset of "alkyl" and refers to an alkyl group, as defined herein, substituted by an carbocyclyl group, as defined herein, wherein the point of attachment is on the alkyl moiety.

[0024] As used herein, "heterocyclyl" or "heterocyclic" refers to a radical of a 3- to 14-membered non-aromatic ring system having ring carbon atoms and 1 to 4 ring heteroatoms, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("3-14 membered heterocyclyl"). In heterocyclyl groups that contain one or more nitrogen atoms, the point of attachment can be a carbon or nitrogen atom, as valency permits. A heterocyclyl group can either be monocyclic ("monocyclic heterocyclyl") or polycyclic (e.g., a fused, bridged or spiro ring system such as a bicyclic system ("bicyclic heterocyclyl") or tricyclic system ("tricyclic heterocyclyl")), and can be saturated or can contain one or more carbon-carbon double or triple bonds. Heterocyclyl polycyclic ring systems can include one or more heteroatoms in one or both rings. In certain embodiments, the heterocyclyl group is either monocyclic ("monocyclic heterocyclyl") or polycyclic (e.g., containing a fused, bridged or spiro-fused ring system such as a bicyclic system ("bicyclic heterocyclyl") or tricyclic system ("tricyclic heterocyclyl")) and can be saturated or can contain one or more carbon-carbon double or triple bonds. "Heterocyclyl" also includes ring systems wherein the heterocyclyl ring, as defined above, is fused with one or more carbocyclyl groups wherein the point of attachment is either on the carbocyclyl or heterocyclyl ring, or ring systems wherein the heterocyclyl ring, as defined above, is fused with one or more aryl or heteroaryl groups, wherein the point of attachment is on the heterocyclyl ring, and in such instances, the number of ring members continue to designate the number of ring members in the heterocyclyl ring system. Unless otherwise specified, each instance of heterocyclyl is independently unsubstituted (an "unsubstituted heterocyclyl") or substituted (a "substituted heterocyclyl") with one or more substituents. In certain embodiments, the heterocyclyl group is an unsubstituted 3-14 membered heterocyclyl. In certain embodiments, the heterocyclyl group is a substituted 3-14 membered heterocyclyl.

[0025] In some embodiments, a heterocyclyl group is a 5-10 membered non-aromatic ring system having ring carbon atoms and 1-4 ring heteroatoms, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("5-10 membered heterocyclyl"). In some embodiments, a heterocyclyl group is a 5-8 membered non-aromatic ring system having ring carbon atoms and 1-4 ring heteroatoms, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("5-8 membered heterocyclyl"). In some embodiments, a heterocyclyl group is a 5-6 membered non-aromatic ring system having ring carbon atoms and 1-4 ring heteroatoms, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("5-6 membered heterocyclyl"). In some embodiments, the 5-6 membered heterocyclyl has 1-3 ring heteroatoms selected from nitrogen, oxygen, and sulfur. In some embodiments, the 5-6 membered heterocyclyl has 1-2 ring heteroatoms selected from nitrogen, oxygen, and sulfur. In some embodiments, the 5-6 membered heterocyclyl has 1 ring heteroatom selected from nitrogen, oxygen, and sulfur.

[0026] Exemplary 3-membered heterocyclyl groups containing 1 heteroatom include, without limitation, azirdinyl, oxiranyl, thiorenyl. Exemplary 4-membered heterocyclyl groups containing 1 heteroatom include, without limitation, azetidinyl, oxetanyl and thietanyl. Exemplary 5-membered heterocyclyl groups containing 1 heteroatom include, without limitation, tetrahydrofuranyl, dihydrofuranyl, tetrahydrothiophenyl, dihydrothiophenyl, pyrrolidinyl, dihydropyrrolyl and pyrrolyl-2,5-dione. Exemplary 5-membered heterocyclyl groups containing 2 heteroatoms include, without limitation, dioxolanyl, oxathiolanyl, and dithiolanyl. Exemplary 5-membered heterocyclyl groups containing 3 heteroatoms include, without limitation, triazolinyl, oxadiazolinyl, and thiadiazolinyl. Exemplary 6-membered heterocyclyl groups containing 1 heteroatom include, without limitation, piperidinyl, tetrahydropyranyl, dihydropyridinyl, and thianyl. Exemplary 6-membered heterocyclyl groups containing 2 heteroatoms include, without limitation, piperazinyl, morpholinyl, dithianyl, dioxanyl. Exemplary 6-membered heterocyclyl groups containing 2 heteroatoms include, without limitation, triazinanyl. Exemplary 7-membered heterocyclyl groups containing 1 heteroatom include, without limitation, azepanyl, oxepanyl and thiepanyl. Exemplary 8-membered heterocyclyl groups containing 1 heteroatom include, without limitation, azocanyl, oxecanyl and thiocanyl. Exemplary bicyclic heterocyclyl groups include, without limitation, indolinyl, isoindolinyl, dihydrobenzofuranyl, dihydrobenzothienyl, tetrahydrobenzothienyl, tetrahydrobenzofuranyl, tetrahydroindolyl, tetrahydroquinolinyl, tetrahydroisoquinolinyl, decahydroquinolinyl, decahydroisoquinolinyl, octahydrochromenyl, octahydroisochromenyl, decahydronaphthyridinyl, decahydro-1,8-naphthyridinyl, octahydropyrrolo[3,2-b]pyrrole, indolinyl, phthalimidyl, naphthalimidyl, chromanyl, chromenyl, 1H-benzo[e][1,4]diazepinyl, 1,4,5,7-tetrahydropyrano[3,4-b]pyrrolyl, 5,6-dihydro-4H-furo[3,2-b]pyrrolyl, 6,7-dihydro-5H-furo[3,2-b]pyranyl, 5,7-dihydro-4H-thieno[2,3-c]pyranyl, 2,3-dihydro-1H-pyrrolo[2,3-b]pyridinyl, 2,3-dihydrofuro[2,3-b]pyridinyl, 4,5,6,7-tetrahydro-1H-pyrrolo-[2,3-b]pyridinyl, 4,5,6,7-tetrahydrofuro[3,2-c]pyridinyl, 4,5,6,7-tetrahydrothieno[3,2-b]pyridinyl, 1,2,3,4-tetrahydro-1,6-naphthyridinyl, and the like.

[0027] "Heterocyclylalkyl" is a subset of "alkyl" and refers to an alkyl group, as defined herein, substituted by an heterocyclyl group, as defined herein, wherein the point of attachment is on the alkyl moiety.

[0028] As used herein, "aryl" refers to a radical of a monocyclic or polycyclic (e.g., bicyclic or tricyclic) 4n+2 aromatic ring system (e.g., having 6, 10, or 14 π electrons shared in a cyclic array) having 6-14 ring carbon atoms and zero heteroatoms provided in the aromatic ring system ("C 6-14 aryl"). In some embodiments, an aryl group has 6 ring carbon atoms ("C 6 aryl"; e.g., phenyl). In some embodiments, an aryl group has 10 ring carbon atoms ("C 10 aryl"; e.g., naphthyl such as 1-naphthyl and 2-naphthyl). In some embodiments, an aryl group has 14 ring carbon atoms ("C 14 aryl"; e.g., anthracenyl). "Aryl" also includes ring systems wherein the aryl ring, as defined above, is fused with one or more carbocyclyl or heterocyclyl groups wherein the radical or point of attachment is on the aryl ring, and in such instances, the number of carbon atoms continue to designate the number of carbon atoms in the aryl ring system. Unless otherwise specified, each instance of an aryl group is independently unsubstituted (an "unsubstituted aryl") or substituted (a "substituted aryl") with one or more substituents. In certain embodiments, the aryl group is an unsubstituted C 6-14 aryl. In certain embodiments, the aryl group is a substituted C 6-14 aryl.

[0029] "Aralkyl" is a subset of "alkyl" and refers to an alkyl group, as defined herein, substituted by an aryl group, as defined herein, wherein the point of attachment is on the alkyl moiety.

[0030] As used herein, "heteroaryl" refers to a radical of a 5-14 membered monocyclic or polycyclic (e.g., bicyclic, tricyclic) 4n+2 aromatic ring system (e.g., having 6, 10, or 14 π electrons shared in a cyclic array) having ring carbon atoms and 1-4 ring heteroatoms provided in the aromatic ring system, wherein each heteroatom is independently selected from nitrogen, oxygen and sulfur ("5-14 membered heteroaryl"). In heteroaryl groups that contain one or more nitrogen atoms, the point of attachment can be a carbon or nitrogen atom, as valency permits. Heteroaryl polycyclic ring systems can include one or more heteroatoms in one or both rings. "Heteroaryl" includes ring systems wherein the heteroaryl ring, as defined above, is fused with one or more carbocyclyl or heterocyclyl groups wherein the point of attachment is on the heteroaryl ring, and in such instances, the number of ring members continue to designate the number of ring members in the heteroaryl ring system. "Heteroaryl" also includes ring systems wherein the heteroaryl ring, as defined above, is fused with one or more aryl groups wherein the point of attachment is either on the aryl or heteroaryl ring, and in such instances, the number of ring members designates the number of ring members in the fused polycyclic (aryl / heteroaryl) ring system. Polycyclic heteroaryl groups wherein one ring does not contain a heteroatom (e.g., indolyl, quinolinyl, carbazolyl, and the like) the point of attachment can be on either ring, i.e., either the ring bearing a heteroatom (e.g., 2-indolyl) or the ring that does not contain a heteroatom (e.g., 5-indolyl).

[0031] In some embodiments, a heteroaryl group is a 5-10 membered aromatic ring system having ring carbon atoms and 1-4 ring heteroatoms provided in the aromatic ring system, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("5-10 membered heteroaryl"). In some embodiments, a heteroaryl group is a 5-8 membered aromatic ring system having ring carbon atoms and 1-4 ring heteroatoms provided in the aromatic ring system, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("5-8 membered heteroaryl"). In some embodiments, a heteroaryl group is a 5-6 membered aromatic ring system having ring carbon atoms and 1-4 ring heteroatoms provided in the aromatic ring system, wherein each heteroatom is independently selected from nitrogen, oxygen, and sulfur ("5-6 membered heteroaryl"). In some embodiments, the 5-6 membered heteroaryl has 1-3 ring heteroatoms selected from nitrogen, oxygen, and sulfur. In some embodiments, the 5-6 membered heteroaryl has 1-2 ring heteroatoms selected from nitrogen, oxygen, and sulfur. In some embodiments, the 5-6 membered heteroaryl has 1 ring heteroatom selected from nitrogen, oxygen, and sulfur. Unless otherwise specified, each instance of a heteroaryl group is independently unsubstituted (an "unsubstituted heteroaryl") or substituted (a "substituted heteroaryl") with one or more substituents. In certain embodiments, the heteroaryl group is an unsubstituted 5-14 membered heteroaryl. In certain embodiments, the heteroaryl group is a substituted 5-14 membered heteroaryl.

[0032] Exemplary 5-membered heteroaryl groups containing 1 heteroatom include, without limitation, pyrrolyl, furanyl, and thiophenyl. Exemplary 5-membered heteroaryl groups containing 2 heteroatoms include, without limitation, imidazolyl, pyrazolyl, oxazolyl, isoxazolyl, thiazolyl, and isothiazolyl. Exemplary 5-membered heteroaryl groups containing 3 heteroatoms include, without limitation, triazolyl, oxadiazolyl, and thiadiazolyl. Exemplary 5-membered heteroaryl groups containing 4 heteroatoms include, without limitation, tetrazolyl. Exemplary 6-membered heteroaryl groups containing 1 heteroatom include, without limitation, pyridinyl. Exemplary 6-membered heteroaryl groups containing 2 heteroatoms include, without limitation, pyridazinyl, pyrimidinyl, and pyrazinyl. Exemplary 6-membered heteroaryl groups containing 3 or 4 heteroatoms include, without limitation, triazinyl and tetrazinyl, respectively. Exemplary 7-membered heteroaryl groups containing 1 heteroatom include, without limitation, azepinyl, oxepinyl, and thiepinyl. Exemplary 5,6-bicyclic heteroaryl groups include, without limitation, indolyl, isoindolyl, indazolyl, benzotriazolyl, benzothiophenyl, isobenzothiophenyl, benzofuranyl, benzoisofuranyl, benzimidazolyl, benzoxazolyl, benzisoxazolyl, benzoxadiazolyl, benzthiazolyl, benzisothiazolyl, benzthiadiazolyl, indolizinyl, and purinyl. Exemplary 6,6-bicyclic heteroaryl groups include, without limitation, naphthyridinyl, pteridinyl, quinolinyl, isoquinolinyl, cinnolinyl, quinoxalinyl, phthalazinyl, and quinazolinyl. Exemplary tricyclic heteroaryl groups include, without limitation, phenanthridinyl, dibenzofuranyl, carbazolyl, acridinyl, phenothiazinyl, phenoxazinyl and phenazinyl.

[0033] "Heteroaralkyl" is a subset of "alkyl" and refers to an alkyl group, as defined herein, substituted by a heteroaryl group, as defined herein, wherein the point of attachment is on the alkyl moiety.

[0034] As used herein, the term "partially unsaturated" refers to a ring moiety that includes at least one double or triple bond. The term "partially unsaturated" is intended to encompass rings having multiple sites of unsaturation, but is not intended to include aromatic groups (e.g., aryl or heteroaryl moieties) as herein defined.

[0035] As used herein, the term "saturated" refers to a ring moiety that does not contain a double or triple bond, i.e., the ring contains all single bonds.

[0036] Affixing the suffix "-ene" to a group indicates the group is a divalent moiety, e.g., alkylene is the divalent moiety of alkyl, alkenylene is the divalent moiety of alkenyl, alkynylene is the divalent moiety of alkynyl, heteroalkylene is the divalent moiety of heteroalkyl, heteroalkenylene is the divalent moiety of heteroalkenyl, heteroalkynylene is the divalent moiety of heteroalkynyl, carbocyclylene is the divalent moiety of carbocyclyl, heterocyclylene is the divalent moiety of heterocyclyl, arylene is the divalent moiety of aryl, and heteroarylene is the divalent moiety of heteroaryl.

[0037] As understood from the above, alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, acyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl groups, as defined herein, are, in certain embodiments, optionally substituted. Optionally substituted refers to a group which may be substituted or unsubstituted (e.g., "substituted" or "unsubstituted" alkyl, "substituted" or "unsubstituted" alkenyl, "substituted" or "unsubstituted" alkynyl, "substituted" or "unsubstituted" heteroalkyl, "substituted" or "unsubstituted" heteroalkenyl, "substituted" or "unsubstituted" heteroalkynyl, "substituted" or "unsubstituted" carbocyclyl, "substituted" or "unsubstituted" heterocyclyl, "substituted" or "unsubstituted" aryl or "substituted" or "unsubstituted" heteroaryl group). In general, the term "substituted", whether preceded by the term "optionally" or not, means that at least one hydrogen present on a group (e.g., a carbon or nitrogen atom) is replaced with a permissible substituent, e.g., a substituent which upon substitution results in a stable compound, e.g., a compound which does not spontaneously undergo transformation such as by rearrangement, cyclization, elimination, or other reaction. Unless otherwise indicated, a "substituted" group has a substituent at one or more substitutable positions of the group, and when more than one position in any given structure is substituted, the substituent is either the same or different at each position. The term "substituted" is contemplated to include substitution with all permissible substituents of organic compounds, any of the substituents described herein that results in the formation of a stable compound. The present invention contemplates any and all such combinations in order to arrive at a stable compound. For purposes of this invention, heteroatoms such as nitrogen may have hydrogen substituents and / or any suitable substituent as described herein which satisfy the valencies of the heteroatoms and results in the formation of a stable moiety.

[0038] Exemplary carbon atom substituents include, but are not limited to, halogen, -CN, - NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OR aa< , -ON(R bb< ) 2 , -N(R bb< ) 2 , -N(R bb< ) 3 +< X -< , -N(OR cc< )R bb< , - SH, -SR aa< , -SSR cc< , -C(=O)R aa< , -CO 2 H, -CHO, -C(OR cc< ) 2 , -CO 2 R aa< , -OC(=O)R aa< , - OCO 2 R aa< , -C(=O)N(R bb< ) 2 , -OC(=O)N(R bb< ) 2 , -NR bb< C(=O)R aa< , -NR bb< CO 2 R aa< , - NR bb< C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -OC(=NR bb< )R aa< , -OC(=NR bb< )OR aa< ,-C(=NR bb< )N(R bb< ) 2 , -OC(=NR bb< )N(R bb< ) 2 , -NR bb< C(=NR bb< )N(R bb< ) 2 , -C(=O)NR bb< SO 2 R aa< , - NR bb< SO 2 R aa< , -SO 2 N(R bb< ) 2 , -SO 2 R aa< , -SO 2 OR aa< , -OSO 2 R aa< , -S(=O)R aa< , -OS(=O)R aa< , - Si(R aa< ) 3 , -OSi(R aa< ) 3 -C(=S)N(R bb< ) 2 , -C(=O)SR aa< , -C(=S)SR aa< , -SC(=S)SR aa< , -SC(=O)SR aa< , -OC(=O)SR aa< , -SC(=O)OR aa< , -SC(=O)R aa< , -P(=O) 2 R aa< , -OP(=O) 2 R aa< , -P(=O)(R aa< ) 2 , - OP(=O)(R aa< ) 2 , -OP(=O)(OR cc< ) 2 , -P(=O) 2 N(Rbb) 2 , -OP(=O) 2 N(R bb< ) 2 , -P(=O)(NR bb< ) 2 , - OP(=O)(NR bb< ) 2 , -NR bb< P(=O)(OR cc< ) 2 , -NR bb< P(=O)(NR bb< ) 2 , -P(R cc< ) 2 -P(R cc< ) 3 , -OP(R cc< ) 2 , - OP(R cc< ) 3 , -B(R aa< ) 2 , -B(OR cc< ) 2 , -BR aa< (OR cc< ), C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-14 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; or two geminal hydrogens on a carbon atom are replaced with the group =O, =S, =NN(R bb< ) 2 , =NNR bb< C(=O)R aa< , =NNR bb< C(=O)OR aa< , =NNR bb< S(=O) 2 R aa< , =NR bb< , or =NOR cc< ; each instance of R aa< is, independently, selected from C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R aa< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R bb< is, independently, selected from hydrogen, -OH, -OR aa< , - N(R cc< ) 2 , -CN, -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )OR aa< , - C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , - C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O) 2 N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R bb< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R cc< is, independently, selected from hydrogen, C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R dd< is, independently, selected from halogen, -CN, -NO 2 , -N 3 , - SO 2 H, -SO 3 H, -OH, -OR ee< , -ON(R ff< ) 2 , -N(R ff< ) 2 , -N(R ff< ) 3 +< X -< , -N(OR ee< )R ff< , -SH, -SR ee< , - SSR ee< , -C(=O)R ee< , -CO 2 H, -CO 2 R ee< , -OC(=O)R ee< , -OCO 2 R ee< , -C(=O)N(R ff< ) 2 , - OC(=O)N(R ff< ) 2 , -NR ff< C(=O)R ee< , -NR ff< CO 2 R ee< , -NR ff< C(=O)N(R ff< ) 2 , -C(=NR ff< )OR ee< , - OC(=NR ff< )R ee< , -OC(=NR ff< )OR ee< , -C(=NR ff< )N(R ff< ) 2 , -OC(=NR ff< )N(R ff< ) 2 , - NR ff< C(=NR ff< )N(R ff< ) 2 ,-NR ff< SO 2 R ee< , -SO 2 N(R ff< ) 2 , -SO 2 R ee< , -SO 2 OR ee< , -OSO 2 R ee< , -S(=O)R ee< , -Si(R ee< ) 3 , -OSi(R ee< ) 3 , -C(=S)N(R ff< ) 2 , -C(=O)SR ee< , -C(=S)SR ee< , -SC(=S)SR ee< , -P(=O) 2 R ee< , - P(=O)(R ee< ) 2 , -OP(=O)(R ee< ) 2 , -OP(=O)(OR ee< ) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups, or two geminal R dd< substituents can be joined to form =O or =S; each instance of R ee< is, independently, selected from C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; each instance of R ff< is, independently, selected from hydrogen, C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl and 5-10 membered heteroaryl, or two R ff< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; and each instance of R gg< is, independently, halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, - OH, -OC 1-6 alkyl, -ON(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 3 +< X -< , -NH(C 1-6 alkyl) 2 +< X -< , -NH 2 (C 1-6 alkyl) +< X -< , -NH 3 +< X -< , -N(OC 1-6 alkyl)(C 1-6 alkyl), -N(OH)(C 1-6 alkyl), -NH(OH), -SH, -SC 1-6 alkyl, -SS(C 1-6 alkyl), -C(=O)(C 1-6 alkyl), -CO 2 H, -CO 2 (C 1-6 alkyl), -OC(=O)(C 1-6 alkyl), -OCO 2 (C 1-6 alkyl), -C(=O)NH 2 , -C(=O)N(C 1-6 alkyl) 2 , - OC(=O)NH(C 1-6 alkyl), -NHC(=O)( C 1-6 alkyl), -N(C 1-6 alkyl)C(=O)( C 1-6 alkyl), - NHCO 2 (C 1-6 alkyl), -NHC(=O)N(C 1-6 alkyl) 2 , -NHC(=O)NH(C 1-6 alkyl), -NHC(=O)NH 2 , -C(=NH)O(C 1-6 alkyl),-OC(=NH)(C 1-6 alkyl), -OC(=NH)OC 1-6 alkyl, -C(=NH)N(C 1-6 alkyl) 2 , -C(=NH)NH(C 1-6 alkyl), -C(=NH)NH 2 , -OC(=NH)N(C 1-6 alkyl) 2 , -OC(NH)NH(C 1-6 alkyl), -OC(NH)NH 2 , -NHC(NH)N(C 1-6 alkyl) 2 , -NHC(=NH)NH 2 , -NHSO 2 (C 1-6 alkyl), - SO 2 N(C 1-6 alkyl) 2 , -SO 2 NH(C 1-6 alkyl), -SO 2 NH 2 ,-SO 2 C 1-6 alkyl, -SO 2 OC 1-6 alkyl, - OSO 2 C 1-6 alkyl, -SOC 1-6 alkyl, -Si(C 1-6 alkyl) 3 , -OSi(C 1-6 alkyl) 3 -C(=S)N(C 1-6 alkyl) 2 , C(=S)NH(C 1-6 alkyl), C(=S)NH 2 , -C(=O)S(C 1-6 alkyl), -C(=S)SC 1-6 alkyl, -SC(=S)SC 1-6 alkyl, -P(=O) 2 (C 1-6 alkyl), -P(=O)(C 1-6 alkyl) 2 , -OP(=O)(C 1-6 alkyl) 2 , -OP(=O)(OC 1-6 alkyl) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, 5-10 membered heteroaryl; or two geminal R gg< substituents can be joined to form =O or =S; wherein X -< is a counterion.

[0039] As used herein, the term "halo" or "halogen" refers to fluorine (fluoro, -F), chlorine (chloro, -Cl), bromine (bromo, -Br), or iodine (iodo, -I).

[0040] As used herein, a "counterion" is a negatively charged group associated with a positively charged quarternary amine in order to maintain electronic neutrality. Exemplary counterions include halide ions (e.g., F -< , Cl -< , Br -< , I -< ), NO 3 -< , ClO 4 -< , OH -< , H 2 PO 4 -< , HSO 4 -< , sulfonate ions (e.g., methansulfonate, trifluoromethanesulfonate, p-toluenesulfonate, benzenesulfonate, 10-camphor sulfonate, naphthalene-2-sulfonate, naphthalene-1-sulfonic acid-5-sulfonate, ethan-1-sulfonic acid-2-sulfonate, and the like), and carboxylate ions (e.g., acetate, ethanoate, propanoate, benzoate, glycerate, lactate, tartrate, glycolate, and the like).

[0041] As used herein, the term "hydroxyl" or "hydroxy" refers to the group -OH. The term "substituted hydroxyl" or "substituted hydroxyl," by extension, refers to a hydroxyl group wherein the oxygen atom directly attached to the parent molecule is substituted with a group other than hydrogen, and includes groups selected from -OR aa< , -ON(R bb< ) 2 , -OC(=O)SR aa< , - OC(=O)R aa< , -OCO 2 R aa< , -OC(=O)N(R bb< ) 2 , -OC(=NR bb< )R aa< , -OC(=NR bb< )OR aa< , - OC(=NR bb< )N(R bb< ) 2 , -OS(=O)R aa< , -OSO 2 R aa< , -OSi(R aa< ) 3 , -OP(R cc< ) 2 , -OP(R cc< ) 3 , -OP(=O) 2 R aa< , -OP(=O)(R aa< ) 2 , -OP(=O)(OR cc< ) 2 , -OP(=O) 2 N(R bb< ) 2 , and -OP(=O)(NR bb< ) 2 , wherein R aa< , R bb< , and R cc< are as defined herein.

[0042] As used herein, the term "thiol" or "thio" refers to the group -SH. The term "substituted thiol" or "substituted thio," by extension, refers to a thiol group wherein the sulfur atom directly attached to the parent molecule is substituted with a group other than hydrogen, and includes groups selected from -SR aa< , -S=SR cc< , -SC(=S)SR aa< , -SC(=O)SR aa< , - SC(=O)OR aa< , and -SC(=O)R aa< , wherein R aa< and R cc< are as defined herein.

[0043] As used herein, the term, "amino" refers to the group -NH 2 . The term "substituted amino," by extension, refers to a monosubstituted amino, a disubstituted amino, or a trisubstituted amino, as defined herein. In certain embodiments, the "substituted amino" is a monosubstituted amino or a disubstituted amino group.

[0044] As used herein, the term "monosubstituted amino" refers to an amino group wherein the nitrogen atom directly attached to the parent molecule is substituted with one hydrogen and one group other than hydrogen, and includes groups selected from -NH(R bb< ), - NHC(=O)R aa< , -NHCO 2 R aa< , -NHC(=O)N(R bb< ) 2 , -NHC(=NR bb< )N(R bb< ) 2 , -NHSO 2 R aa< , - NHP(=O)(OR cc< ) 2 , and -NHP(=O)(NR bb< ) 2 , wherein R aa< , R bb< and R cc< are as defined herein, and wherein R bb< of the group -NH(R bb< ) is not hydrogen.

[0045] As used herein, the term "disubstituted amino" refers to an amino group wherein the nitrogen atom directly attached to the parent molecule is substituted with two groups other than hydrogen, and includes groups selected from -N(R bb< ) 2 , -NR bb< C(=O)R aa< , -NR bb< CO 2 R aa< , -NR bb< C(=O)N(R bb< ) 2 , -NR bb< C(=NR bb< )N(R bb< ) 2 , -NR bb< SO 2 R aa< , -NR bb< P(=O)(OR cc< ) 2 , and-NR bb< P(=O)(NR bb< ) 2 , wherein R aa< , R bb< , and R cc< are as defined herein, with the proviso that the nitrogen atom directly attached to the parent molecule is not substituted with hydrogen.

[0046] As used herein, the term "trisubstituted amino" refers to an amino group wherein the nitrogen atom directly attached to the parent molecule is substituted with three groups, and includes groups selected from -N(R bb< ) 3 and -N(R bb< ) 3 +< X -< , wherein R bb< and X -< are as defined herein.

[0047] As used herein, the term "oxo" refers to the group =O, and the term "thiooxo" refers to the group =S.

[0048] Nitrogen atoms can be substituted or unsubstituted as valency permits, and include primary, secondary, tertiary, and quarternary nitrogen atoms. Exemplary nitrogen atom substituents include, but are not limited to, hydrogen, -OH, -OR aa< , -N(R cc< ) 2 , -CN, - C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR bb< )R aa< , -C(=NR cc< )OR aa< , - C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , - C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)2N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups attached to an N atom are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups, and wherein R aa< , R bb< , R cc< and R dd< are as defined above.

[0049] In certain embodiments, the substituent present on the nitrogen atom is an nitrogen protecting group (also referred to herein as an "amino protecting group"). Nitrogen protecting groups include, but are not limited to, -OH, -OR aa< , -N(R cc< ) 2 , -C(=O)R aa< , - C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , - SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , C 1-10 alkyl (e.g., aralkyl, heteroaralkyl), C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl groups, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups, and wherein R aa< , R bb< , R cc< and R dd< are as defined herein. Nitrogen protecting groups are well known in the art and include those described in detail in Protecting Groups in Organic Synthesis, T. W. Greene and P. G. M. Wuts, 3rd edition, John Wiley & Sons, 1999.

[0050] For example, nitrogen protecting groups such as amide groups (e.g., -C(=O)R aa< ) include, but are not limited to, formamide, acetamide, chloroacetamide, trichloroacetamide, trifluoroacetamide, phenylacetamide, 3-phenylpropanamide, picolinamide, 3-pyridylcarboxamide, N-benzoylphenylalanyl derivative, benzamide, p-phenylbenzamide, o-nitophenylacetamide, o-nitrophenoxyacetamide, acetoacetamide, (N'-dithiobenzyloxyacylamino)acetamide, 3-(p-hydroxyphenyl)propanamide, 3-(o-nitrophenyl)propanamide, 2-methyl-2-(o-nitrophenoxy)propanamide, 2-methyl-2-(o-phenylazophenoxy)propanamide, 4-chlorobutanamide, 3-methyl-3-nitrobutanamide, o-nitrocinnamide, N-acetylmethionine derivative, o-nitrobenzamide, and o-(benzoyloxymethyl)benzamide.

[0051] Nitrogen protecting groups such as carbamate groups (e.g., -C(=O)OR aa< ) include, but are not limited to, methyl carbamate, ethyl carbamante, 9-fluorenylmethyl carbamate (Fmoc), 9-(2-sulfo)fluorenylmethyl carbamate, 9-(2,7-dibromo)fluoroenylmethyl carbamate, 2,7-dit-butyl-[9-(10,10-dioxo-10,10,10,10-tetrahydrothioxanthyl)]methyl carbamate (DBD-Tmoc), 4-methoxyphenacyl carbamate (Phenoc), 2,2,2-trichloroethyl carbamate (Troc), 2-trimethylsilylethyl carbamate (Teoc), 2-phenylethyl carbamate (hZ), 1-(1-adamantyl)-1-methylethyl carbamate (Adpoc), 1,1-dimethyl-2-haloethyl carbamate, 1,1-dimethyl-2,2-dibromoethyl carbamate (DB-t-BOC), 1,1-dimethyl-2,2,2-trichloroethyl carbamate (TCBOC), 1-methyl-1-(4-biphenylyl)ethyl carbamate (Bpoc), 1-(3,5-di-t-butylphenyl)-1-methylethyl carbamate (t-Bumeoc), 2-(2'- and 4'-pyridyl)ethyl carbamate (Pyoc), 2-(N,N-dicyclohexylcarboxamido)ethyl carbamate, t-butyl carbamate (BOC), 1-adamantyl carbamate (Adoc), vinyl carbamate (Voc), allyl carbamate (Alloc), 1-isopropylallyl carbamate (Ipaoc), cinnamyl carbamate (Coc), 4-nitrocinnamyl carbamate (Noc), 8-quinolyl carbamate, N-hydroxypiperidinyl carbamate, alkyldithio carbamate, benzyl carbamate (Cbz), p-methoxybenzyl carbamate (Moz), p-nitobenzyl carbamate, p-bromobenzyl carbamate, p-chlorobenzyl carbamate, 2,4-dichlorobenzyl carbamate, 4-methylsulfinylbenzyl carbamate (Msz), 9-anthrylmethyl carbamate, diphenylmethyl carbamate, 2-methylthioethyl carbamate, 2-methylsulfonylethyl carbamate, 2-(p-toluenesulfonyl)ethyl carbamate, [2-(1,3-dithianyl)]methyl carbamate (Dmoc), 4-methylthiophenyl carbamate (Mtpc), 2,4-dimethylthiophenyl carbamate (Bmpc), 2-phosphonioethyl carbamate (Peoc), 2-triphenylphosphonioisopropyl carbamate (Ppoc), 1,1-dimethyl-2-cyanoethyl carbamate, m-chloro-p-acyloxybenzyl carbamate, p-(dihydroxyboryl)benzyl carbamate, 5-benzisoxazolylmethyl carbamate, 2-(trifluoromethyl)-6-chromonylmethyl carbamate (Tcroc), m-nitrophenyl carbamate, 3,5-dimethoxybenzyl carbamate, o-nitrobenzyl carbamate, 3,4-dimethoxy-6-nitrobenzyl carbamate, phenyl(o-nitrophenyl)methyl carbamate, t-amyl carbamate, S-benzyl thiocarbamate, p-cyanobenzyl carbamate, cyclobutyl carbamate, cyclohexyl carbamate, cyclopentyl carbamate, cyclopropylmethyl carbamate, p-decyloxybenzyl carbamate, 2,2-dimethoxyacylvinyl carbamate, o-(N,N-dimethylcarboxamido)benzyl carbamate, 1,1-dimethyl-3-(N,N-dimethylcarboxamido)propyl carbamate, 1,1-dimethylpropynyl carbamate, di(2-pyridyl)methyl carbamate, 2-furanylmethyl carbamate, 2-iodoethyl carbamate, isoborynl carbamate, isobutyl carbamate, isonicotinyl carbamate, p-(p'-methoxyphenylazo)benzyl carbamate, 1-methylcyclobutyl carbamate, 1-methylcyclohexyl carbamate, 1-methyl-1-cyclopropylmethyl carbamate, 1-methyl-1-(3,5-dimethoxyphenyl)ethyl carbamate, 1-methyl-1-(p-phenylazophenyl)ethyl carbamate, 1-methyl-1-phenylethyl carbamate, 1-methyl-1-(4-pyridyl)ethyl carbamate, phenyl carbamate, p-(phenylazo)benzyl carbamate, 2,4,6-tri-t-butylphenyl carbamate, 4-(trimethylammonium)benzyl carbamate, and 2,4,6-trimethylbenzyl carbamate.

[0052] Nitrogen protecting groups such as sulfonamide groups (e.g., -S(=O) 2 R aa< ) include, but are not limited to, p-toluenesulfonamide (Ts), benzenesulfonamide, 2,3,6,-trimethyl-4-methoxybenzenesulfonamide (Mtr), 2,4,6-trimethoxybenzenesulfonamide (Mtb), 2,6-dimethyl-4-methoxybenzenesulfonamide (Pme), 2,3,5,6-tetramethyl-4-methoxybenzenesulfonamide (Mte), 4-methoxybenzenesulfonamide (Mbs), 2,4,6-trimethylbenzenesulfonamide (Mts), 2,6-dimethoxy-4-methylbenzenesulfonamide (iMds), 2,2,5,7,8-pentamethylchroman-6-sulfonamide (Pmc), methanesulfonamide (Ms), β-trimethylsilylethanesulfonamide (SES), 9-anthracenesulfonamide, 4-(4',8'-dimethoxynaphthylmethyl)benzenesulfonamide (DNMBS), benzylsulfonamide, trifluoromethylsulfonamide, and phenacylsulfonamide.

[0053] Other nitrogen protecting groups include, but are not limited to, phenothiazinyl-(10)-acyl derivative, N'-p-toluenesulfonylaminoacyl derivative, N'-phenylaminothioacyl derivative, N-benzoylphenylalanyl derivative, N-acetylmethionine derivative, 4,5-diphenyl-3-oxazolin-2-one, N-phthalimide, N-dithiasuccinimide (Dts), N-2,3-diphenylmaleimide, N-2,5-dimethylpyrrole, N-1,1,4,4-tetramethyldisilylazacyclopentane adduct (STABASE), 5-substituted 1,3-dimethyl-1,3,5-triazacyclohexan-2-one, 5-substituted 1,3-dibenzyl-1,3,5-triazacyclohexan-2-one, 1-substituted 3,5-dinitro-4-pyridone, N-methylamine, N-allylamine, N-[2-(trimethylsilyl)ethoxy]methylamine (SEM), N-3-acetoxypropylamine, N-(1-isopropyl-4-nitro-2-oxo-3-pyroolin-3-yl)amine, quaternary ammonium salts, N-benzylamine, N-di(4-methoxyphenyl)methylamine, N-5-dibenzosuberylamine, N-triphenylmethylamine (Tr), N-[(4-methoxyphenyl)diphenylmethyl]amine (MMTr), N-9-phenylfluorenylamine (PhF), N-2,7-dichloro-9-fluorenylmethyleneamine, N-ferrocenylmethylamino (Fcm), N-2-picolylamino N'-oxide, N-1,1-dimethylthiomethyleneamine, N-benzylideneamine, N-p-methoxybenzylideneamine, N-diphenylmethyleneamine, N-[(2-pyridyl)mesityl]methyleneamine, N-(N',N'-dimethylaminomethylene)amine, N,N'-isopropylidenediamine, N-p-nitrobenzylideneamine, N-salicylideneamine, N-5-chlorosalicylideneamine, N-(5-chloro-2-hydroxyphenyl)phenylmethyleneamine, N-cyclohexylideneamine, N-(5,5-dimethyl-3-oxo-1-cyclohexenyl)amine, N-borane derivative, N-diphenylborinic acid derivative, N-[phenyl(pentaacylchromium- or tungsten)acyl]amine, N-copper chelate, N-zinc chelate, N-nitroamine, N-nitrosoamine, amine N-oxide, diphenylphosphinamide (Dpp), dimethylthiophosphinamide (Mpt), diphenylthiophosphinamide (Ppt), dialkyl phosphoramidates, dibenzyl phosphoramidate, diphenyl phosphoramidate, benzenesulfenamide, o-nitrobenzenesulfenamide (Nps), 2,4-dinitrobenzenesulfenamide, pentachlorobenzenesulfenamide, 2-nitro-4-methoxybenzenesulfenamide, triphenylmethylsulfenamide, and 3-nitropyridinesulfenamide (Npys).

[0054] In certain embodiments, the substituent present on an oxygen atom is an oxygen protecting group (also referred to herein as an "hydroxyl protecting group"). Oxygen protecting groups include, but are not limited to, -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , - CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , - SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , - P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 , wherein R aa< , R bb< , and R cc< are as defined herein. Oxygen protecting groups are well known in the art and include those described in detail in Protecting Groups in Organic Synthesis, T. W. Greene and P. G. M. Wuts, 3rd edition, John Wiley & Sons, 1999.

[0055] Exemplary oxygen protecting groups include, but are not limited to, methyl, methoxylmethyl (MOM), methylthiomethyl (MTM), t-butylthiomethyl, (phenyldimethylsilyl)methoxymethyl (SMOM), benzyloxymethyl (BOM), p-methoxybenzyloxymethyl (PMBM), (4-methoxyphenoxy)methyl (p-AOM), guaiacolmethyl (GUM), t-butoxymethyl, 4-pentenyloxymethyl (POM), siloxymethyl, 2-methoxyethoxymethyl (MEM), 2,2,2-trichloroethoxymethyl, bis(2-chloroethoxy)methyl, 2-(trimethylsilyl)ethoxymethyl (SEMOR), tetrahydropyranyl (THP), 3-bromotetrahydropyranyl, tetrahydrothiopyranyl, 1-methoxycyclohexyl, 4-methoxytetrahydropyranyl (MTHP), 4-methoxytetrahydrothiopyranyl, 4-methoxytetrahydrothiopyranyl S,S-dioxide, 1-[(2-chloro-4-methyl)phenyl]-4-methoxypiperidin-4-yl (CTMP), 1,4-dioxan-2-yl, tetrahydrofuranyl, tetrahydrothiofuranyl, 2,3,3a,4,5,6,7,7a-octahydro-7,8,8-trimethyl-4,7-methanobenzofuran-2-yl, 1-ethoxyethyl, 1-(2-chloroethoxy)ethyl, 1-methyl-1-methoxyethyl, 1-methyl-1-benzyloxyethyl, 1-methyl-1-benzyloxy-2-fluoroethyl, 2,2,2-trichloroethyl, 2-trimethylsilylethyl, 2-(phenylselenyl)ethyl, t-butyl, allyl, p-chlorophenyl, p-methoxyphenyl, 2,4-dinitrophenyl, benzyl (Bn), p-methoxybenzyl, 3,4-dimethoxybenzyl, o-nitrobenzyl, p-nitrobenzyl, p-halobenzyl, 2,6-dichlorobenzyl, p-cyanobenzyl, p-phenylbenzyl, 2-picolyl, 4-picolyl, 3-methyl-2-picolyl N-oxido, diphenylmethyl, p,p '-dinitrobenzhydryl, 5-dibenzosuberyl, triphenylmethyl, α-naphthyldiphenylmethyl, p-methoxyphenyldiphenylmethyl, di(p-methoxyphenyl)phenylmethyl, tri(p-methoxyphenyl)methyl, 4-(4'-bromophenacyloxyphenyl)diphenylmethyl, 4,4',4"-tris(4,5-dichlorophthalimidophenyl)methyl, 4,4',4"-tris(levulinoyloxyphenyl)methyl, 4,4',4"-tris(benzoyloxyphenyl)methyl, 3-(imidazol-1-yl)bis(4',4"-dimethoxyphenyl)methyl, 1,1-bis(4-methoxyphenyl)-1'-pyrenylmethyl, 9-anthryl, 9-(9-phenyl)xanthenyl, 9-(9-phenyl-10-oxo)anthryl, 1,3-benzodithiolan-2-yl, benzisothiazolyl S,S-dioxido, trimethylsilyl (TMS), triethylsilyl (TES), triisopropylsilyl (TIPS), dimethylisopropylsilyl (IPDMS), diethylisopropylsilyl (DEIPS), dimethylthexylsilyl, t-butyldimethylsilyl (TBDMS), t-butyldiphenylsilyl (TBDPS), tribenzylsilyl, tri-p-xylylsilyl, triphenylsilyl, diphenylmethylsilyl (DPMS), t-butylmethoxyphenylsilyl (TBMPS), formate, benzoylformate, acetate, chloroacetate, dichloroacetate, trichloroacetate, trifluoroacetate, methoxyacetate, triphenylmethoxyacetate, phenoxyacetate, p-chlorophenoxyacetate, 3-phenylpropionate, 4-oxopentanoate (levulinate), 4,4-(ethylenedithio)pentanoate (levulinoyldithioacetal), pivaloate, adamantoate, crotonate, 4-methoxycrotonate, benzoate, p-phenylbenzoate, 2,4,6-trimethylbenzoate (mesitoate), alkyl methyl carbonate, 9-fluorenylmethyl carbonate (Fmoc), alkyl ethyl carbonate, alkyl 2,2,2-trichloroethyl carbonate (Troc), 2-(trimethylsilyl)ethyl carbonate (TMSEC), 2-(phenylsulfonyl) ethyl carbonate (Psec), 2-(triphenylphosphonio) ethyl carbonate (Peoc), alkyl isobutyl carbonate, alkyl vinyl carbonate alkyl allyl carbonate, alkyl p-nitrophenyl carbonate, alkyl benzyl carbonate, alkyl p-methoxybenzyl carbonate, alkyl 3,4-dimethoxybenzyl carbonate, alkyl o-nitrobenzyl carbonate, alkyl p-nitrobenzyl carbonate, alkyl S-benzyl thiocarbonate, 4-ethoxy-1-napththyl carbonate, methyl dithiocarbonate, 2-iodobenzoate, 4-azidobutyrate, 4-nitro-4-methylpentanoate, o-(dibromomethyl)benzoate, 2-formylbenzenesulfonate, 2-(methylthiomethoxy)ethyl, 4-(methylthiomethoxy)butyrate, 2-(methylthiomethoxymethyl)benzoate, 2,6-dichloro-4-methylphenoxyacetate, 2,6-dichloro-4-(1,1,3,3-tetramethylbutyl)phenoxyacetate, 2,4-bis(1,1-dimethylpropyl)phenoxyacetate, chlorodiphenylacetate, isobutyrate, monosuccinoate, (E)-2-methyl-2-butenoate, o-(methoxyacyl)benzoate, α-naphthoate, nitrate, alkyl N,N,N',N'-tetramethylphosphorodiamidate, alkyl N-phenylcarbamate, borate, dimethylphosphinothioyl, alkyl 2,4-dinitrophenylsulfenate, sulfate, methanesulfonate (mesylate, Ms), benzylsulfonate, benzenesulfonate (besylate, Bs), and toluenesulfonate (tosylate, Ts).

[0056] In certain embodiments, the substituent present on an sulfur atom is a sulfur protecting group (also referred to as a "thiol protecting group"). Sulfur protecting groups include, but are not limited to, -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , - C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , - P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 , wherein R aa< , R bb< , and R cc< are as defined herein. Sulfur protecting groups are well known in the art and include those described in detail in Protecting Groups in Organic Synthesis, T. W. Greene and P. G. M. Wuts, 3rd edition, John Wiley & Sons, 1999.

[0057] These and other exemplary substituents are described in more detail in the Detailed Description, Examples, and claims. The invention is not intended to be limited in any manner by the above exemplary listing of substituents.

[0058] The term "pharmaceutically acceptable salt" refers to those salts which are, within the scope of sound medical judgment, suitable for use in contact with the tissues of humans and lower animals without undue toxicity, irritation, allergic response, and the like, and are commensurate with a reasonable benefit / risk ratio. Pharmaceutically acceptable salts are well known in the art. For example, Berge et al., describes pharmaceutically acceptable salts in detail in J. Pharmaceutical Sciences (1977) 66:1-19. Pharmaceutically acceptable salts of the compounds of this invention include those derived from suitable inorganic and organic acids and bases. Non-limiting examples of pharmaceutically acceptable, nontoxic acid addition salts are salts of an amino group formed with inorganic acids such as hydrochloric acid, hydrobromic acid, phosphoric acid, sulfuric acid and perchloric acid or with organic acids such as acetic acid, oxalic acid, maleic acid, tartaric acid, citric acid, succinic acid or malonic acid or by using other methods used in the art such as ion exchange. Other pharmaceutically acceptable salts include, for example, adipate, alginate, ascorbate, aspartate, benzenesulfonate, benzoate, bisulfate, borate, butyrate, camphorate, camphorsulfonate, citrate, cyclopentanepropionate, digluconate, dodecylsulfate, ethanesulfonate, formate, fumarate, glucoheptonate, glycerophosphate, gluconate, hemisulfate, heptanoate, hexanoate, hydroiodide, 2-hydroxy-ethanesulfonate, lactobionate, lactate, laurate, lauryl sulfate, malate, maleate, malonate, methanesulfonate, 2-naphthalenesulfonate, nicotinate, nitrate, oleate, oxalate, palmitate, pamoate, pectinate, persulfate, 3-phenylpropionate, phosphate, picrate, pivalate, propionate, stearate, succinate, sulfate, tartrate, thiocyanate, p-toluenesulfonate, undecanoate, valerate salts, and the like. Pharmaceutically acceptable salts derived from appropriate bases include alkali metal, alkaline earth metal, ammonium and N +< (C 1-4 alkyl) 4 salts. Representative alkali or alkaline earth metal salts include sodium, lithium, potassium, calcium, magnesium, and the like. Further pharmaceutically acceptable salts include, when appropriate, nontoxic ammonium, quaternary ammonium, and amine cations formed using counterions such as halide, hydroxide, carboxylate, sulfate, phosphate, nitrate, lower alkyl sulfonate, and aryl sulfonate.

[0059] The term "solvate" refers to forms of the compound, or a salt thereof, that are associated with a solvent, usually by a solvolysis reaction. This physical association may include hydrogen bonding. Conventional solvents include water, methanol, ethanol, acetic acid, DMSO, THF, diethyl ether, and the like. The compounds described herein may be prepared, e.g., in crystalline form, and may be solvated. Suitable solvates include pharmaceutically acceptable solvates and further include both stoichiometric solvates and non-stoichiometric solvates. In certain instances, the solvate will be capable of isolation, for example, when one or more solvent molecules are incorporated in the crystal lattice of a crystalline solid. "Solvate" encompasses both solution-phase and isolatable solvates. Representative solvates include hydrates, ethanolates, and methanolates.

[0060] The term "hydrate" refers to a compound that is associated with water. Typically, the number of the water molecules contained in a hydrate of a compound is in a definite ratio to the number of the compound molecules in the hydrate. Therefore, a hydrate of a compound may be represented, for example, by the general formula R·x H 2 O, wherein R is the compound, and x is a number greater than 0. A given compound may form more than one type of hydrate, including, e.g., monohydrates (x is 1), lower hydrates (x is a number greater than 0 and smaller than 1, e.g., hemihydrates (R·0.5 H 2 O)), and polyhydrates (x is a number greater than 1, e.g., dihydrates (R·2 H 2 O) and hexahydrates (R·6 H 2 O)).

[0061] The term "tautomer" or "tautomeric" refers to two or more interconvertible compounds resulting from at least one formal migration of a hydrogen atom and at least one change in valency (e.g., a single bond to a double bond, a triple bond to a single bond, or vice versa). The exact ratio of the tautomers depends on several factors, including temperature, solvent, and pH. Tautomerizations (i.e., the reaction providing a tautomeric pair) may catalyzed by acid or base. Exemplary tautomerizations include keto-to-enol, amide-to-imide, lactam-to-lactim, enamine-to-imine, and enamine-to-(a different enamine) tautomerizations.

[0062] It is also to be understood that compounds that have the same molecular formula but differ in the nature or sequence of bonding of their atoms or the arrangement of their atoms in space are termed "isomers". Isomers that differ in the arrangement of their atoms in space are termed "stereoisomers".

[0063] Stereoisomers that are not mirror images of one another are termed "diastereomers" and those that are non-superimposable mirror images of each other are termed "enantiomers". When a compound has an asymmetric center, for example, it is bonded to four different groups, a pair of enantiomers is possible. An enantiomer can be characterized by the absolute configuration of its asymmetric center and is described by the R- and S-sequencing rules of Cahn and Prelog, or by the manner in which the molecule rotates the plane of polarized light and designated as dextrorotatory or levorotatory (i.e., as (+) or (-)-isomers respectively). A chiral compound can exist as either individual enantiomer or as a mixture thereof. A mixture containing equal proportions of the enantiomers is called a "racemic mixture".

[0064] The term "polymorph" refers to a crystalline form of a compound (or a salt, hydrate, or solvate thereof). All polymorphs have the same elemental composition. Different crystalline forms usually have different X-ray diffraction patterns, infrared spectra, melting points, density, hardness, crystal shape, optical and electrical properties, stability, and solubility. Recrystallization solvent, rate of crystallization, storage temperature, and other factors may cause one crystal form to dominate. Various polymorphs of a compound can be prepared by crystallization under different conditions.

[0065] The term "prodrugs" refers to compounds that have cleavable groups and become by solvolysis or under physiological conditions the compounds described herein, which are pharmaceutically active in vivo. Such examples include, but are not limited to, choline ester derivatives and the like, N-alkylmorpholine esters and the like. Other derivatives of the compounds described herein have activity in both their acid and acid derivative forms, but in the acid sensitive form often offer advantages of solubility, tissue compatibility, or delayed release in the mammalian organism (see, Bundgard, H., Design of Prodrugs, pp. 7-9, 21-24, Elsevier, Amsterdam 1985). Prodrugs include acid derivatives well known to practitioners of the art, such as, for example, esters prepared by reaction of the parent acid with a suitable alcohol, or amides prepared by reaction of the parent acid compound with a substituted or unsubstituted amine, or acid anhydrides, or mixed anhydrides. Simple aliphatic or aromatic esters, amides, and anhydrides derived from acidic groups pendant on the compounds described herein are particular prodrugs. In some cases it is desirable to prepare double ester type prodrugs such as (acyloxy)alkyl esters or ((alkoxycarbonyl)oxy)alkylesters. C1-C8 alkyl, C2-C8 alkenyl, C2-C8 alkynyl, aryl, C7-C12 substituted aryl, and C7-C12 arylalkyl esters of the compounds described herein may be preferred.

[0066] As used herein, a "leaving group" is an art-understood term referring to a molecular fragment that departs with a pair of electrons in heterolytic bond cleavage, wherein the molecular fragment is an anion or neutral molecule. See, for example, Smith, March Advanced Organic Chemistry 6th ed. (501-502). Exemplary leaving groups include, but are not limited to, halo (e.g., chloro, bromo, iodo) and sulfonyl substituted hydroxyl groups (e.g., tosyl, mesyl, besyl).Other definitions

[0067] A "subject" to which administration is contemplated includes, but is not limited to, humans (i.e., a male or female of any age group, e.g., a pediatric subject (e.g, infant, child, adolescent) or adult subject (e.g., young adult, middle-aged adult or senior adult)) and / or other non-human animals, for example mammals (e.g., primates (e.g., cynomolgus monkeys, rhesus monkeys); commercially relevant mammals such as cattle, pigs, horses, sheep, goats, cats, and / or dogs), birds (e.g., commercially relevant birds such as chickens, ducks, geese, and / or turkeys), reptiles, amphibians, and fish. In certain embodiments, the non-human animal is a mammal. The non-human animal may be a male or female and at any stage of development. A non-human animal may be a transgenic animal. In certain embodiments, the subject is a human.

[0068] A "condition," "disease," and "disorder" are used interchangeably herein.

[0069] As used herein, and unless otherwise specified, the terms "treat," "treating," and "treatment" contemplate an action that occurs while a subject is suffering from the specified disease or condition, which reduces the severity of the disease or condition, or retards or slows the progression of the disease or condition ("therapeutic treatment"), and also contemplates an action that occurs before a subject begins to suffer from the specified disease or condition ("prophylactic treatment"). In some embodiments, a compound described herein, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivate, or polymorph, or pharmaceutical composition thereof, is used to treat an inflammatory disease, an autoimmune disease, a metabolic disorder, or a proliferative disease.

[0070] In general, the "effective amount" of a compound refers to an amount sufficient to elicit the desired biological response. As will be appreciated by those of ordinary skill in this art, the effective amount of a compound of the invention may vary depending on such factors as the desired biological endpoint, the pharmacokinetics of the compound, the disease being treated, the mode of administration, and the age, health, and condition of the subject. An effective amount encompasses therapeutic and prophylactic treatment.

[0071] As used herein, and unless otherwise specified, a "therapeutically effective amount" of a compound is an amount sufficient to provide a therapeutic benefit in the treatment of a disease or condition, or to delay or minimize one or more symptoms associated with the disease or condition. A therapeutically effective amount of a compound means an amount of therapeutic agent, alone or in combination with other therapies, which provides a therapeutic benefit in the treatment of the disease or condition. The term "therapeutically effective amount" can encompass an amount that improves overall therapy, reduces or avoids symptoms or causes of disease or condition, or enhances the therapeutic efficacy of another therapeutic agent. In the context of treatment of conditions associated with reduced aryl hydrocarbon receptor activity, in certain embodiments, a therapeutically effective amount is an amount sufficient to increase aryl hydrocarbon receptor activity.

[0072] As used herein, and unless otherwise specified, a "prophylactically effective amount" of a compound is an amount sufficient to prevent a disease or condition, or one or more symptoms associated with the disease or condition, or prevent its recurrence. A prophylactically effective amount of a compound means an amount of a therapeutic agent, alone or in combination with other agents, which provides a prophylactic benefit in the prevention of the disease or condition. The term "prophylactically effective amount" can encompass an amount that improves overall prophylaxis or enhances the prophylactic efficacy of another prophylactic agent.

[0073] As used herein an "agonist" refers to a compound that can increase or induce the activity of an aryl hydrocarbon receptor relative to vehicle. In some embodiments, the cell is in vivo. In general, an agonist binds to a receptor (e.g., an aryl hydrocarbon receptor) to induce a biological response. Without wishing to be bound by any particular theory, activation of the acyl hydrocarbon receptor (e.g., by binding to an agonist) results in changes in gene expression, leading to modulation of expression of proteins (e.g., cytokines) to influence inflammatory, metabolic, and other biological responses. Modulation of biological responses by aryl hydrocarbon receptors is discussed in, e.g., Bieschlag TV et al. (2008) The aryl hydrocarbon receptor complex and the control of gene expression. Crit Rev Eukaryot Gene Expr 18, 207-250; Nebert DW et al. (2000) Role of the aromatic hydrocarbon receptor and [Ah] gene battery in the oxidative stress response, cell cycle control, and apoptosis. Biochemical Pharmacology 59, 65-85; Quintana FJ et al. (2008) Control of Treg and TH17 cell differentiation by the aryl hydrocarbon receptor. Nature 453, 65-71; and Puga A et al. (2009) The aryl hydrocarbon receptor cross-talks with multiple signal transduction pathways. Biochemical Pharmacology 77, 713-722. In some embodiments, the agonist is a full agonist. A "full agonist" refers to an agonist that binds to a receptor (e.g., an aryl hydrocarbon receptor) and induces the maximum biological response that an agonist can elicit at the receptor. In some embodiments, the agonist is a partial agonist. A "partial agonist" refers to an agonist that binds to a receptor (e.g., an aryl hydrocarbon receptor) but only induces a partial biological response compared to the biological response that a full agonist can induce, even at maximum receptor occupancy.

[0074] As used herein, use of the phrase "at least one instance" refers to 1, 2, 3, 4, or more instances, but also encompasses a range, e.g., for example, from 1 to 4, from 1 to 3, from 1 to 2, from 2 to 4, from 2 to 3, or from 3 to 4 instances, inclusive.

[0075] "Aryl hydrocarbon receptor." An aryl hydrocarbon receptor (AhR, AHR, ahr, or ahR) is a ligand-activated transcription factor involved in the regulation of biological responses induced by planar aromatic (i.e., aryl) hydrocarbons. In humans, the aryl hydrocarbon receptor is encoded by the AHR gene. The aryl hydrocarbon receptor is a member of the family of basic helix-loop-helix transcription factors. AhR is a cytosolic transcription factor that is normally inactive, bound to several co-chaperones. Without wishing to be bound by any particular theory, upon ligand binding, the chaperones dissociate resulting in AhR translocating into the nucleus and dimerizing with ARNT (AhR nuclear translocator), leading to changes in gene transcription (see, e.g., Bieschlag TV et al. (2008) The aryl hydrocarbon receptor complex and the control of gene expression. Crit Rev Eukaryot Gene Expr 18, 207-250). In some embodiments, the gene is CYP1A1. Cypa1a protein expression may be induced in an AHR-dependent manner in the presence of compounds of Formula (I) described herein (Figure 2). In some embodiments, the gene is Muc1, Muc3, or Bcl21 (Figures 5C-5F).

[0076] "Modulate," as used herein, means to decrease (e.g., inhibit, reduce, suppress) or increase (e.g., stimulate, activate, enhance) a level, response, property, activity, pathway, or process. A "modulator" is an agent capable of modulating a level, response, property, activity, pathway, or process. A modulator may be an inhibitor, antagonist, activator, or agonist. In some embodiments modulation may refer to an alteration, e.g., inhibition or increase, of the relevant level, response, property, activity, pathway, or process by at least about 5%, 10%, 15%, 20%, 25%, 30%, 35%, 40%, 45%, 50%, 55%, 60%, 65%, 70%, 75%, 80%, 85%, 90%, 95%, 96%, 97%, 98%, or 99%.Detailed Description of Certain Embodiments of the Invention

[0077] References to methods of treatment in this description are to be interpreted as references to the compounds, pharmaceutical compositions, and medicaments for use in those methods.

[0078] As generally described herein, the present invention is based on the development of compounds that can bind to and modulate the aryl hydrocarbon receptor. These compounds can non-covalently bind to the aryl hydrocarbon receptor.

[0079] In some embodiments, X 1< is CR A< .

[0080] In some embodiments, X 1< is N.

[0081] In some embodiments, a compound described herein is an aryl hydrocarbon receptor agonist. In some embodiments, a compound described herein is a partial aryl hydrocarbon receptor agonist.

[0082] In some embodiments, the compound described herein is a pharmaceutically acceptable salt thereof. In some embodiments, the compound described herein is a solvate thereof. In some embodiments, the compound described herein is a hydrate thereof. In some embodiments, the compound described herein is a stereoisomer thereof. In some embodiments, the compound described herein is a tautomer thereof. In some embodiments, the compound described herein is a isotopically labeled derivative thereof. In some embodiments, the compound described herein is a polymorph thereof.Group R A< and m

[0083] As generally described herein, R A< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR A1< , -N(R A1< ) 2 , -SR A1< , -CN, -C(R A1< ) 3 , -SCN, -C(=NR A1< )R A1< , - C(=NR A1< )OR A1< , -C(=NR A1< )N(R A1< ) 2 , -C(=O)R A1< , -C(=O)OR A1< , -C(=O)N(R A1< ) 2 , -NO 2 , - NR A1< C(=O)R A1< , -NR A1< C(=O)OR A1< , -NR A1< C(=O)N(R A1< ) 2 , -OC(=O)R A1< , -OC(=O)OR A1< , - OC(=O)N(R A1< ) 2 , wherein each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring, and m is 0, 1, 2, or 3.

[0084] In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 0; and R A< is absent. In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 1. In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 2; and each R A< is independently a group as described herein. In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 3; and each R A< is independently a group as described herein.

[0085] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is hydrogen. In certain embodiments of Formula (II-a) or Formula (III-ai ), m is 1; and R A< is hydrogen. In certain embodiments of Formula (II-a) or Formula (III-ai ), m is 2; and both instances of R A< are hydrogen. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 3; and all three instances of R A< are hydrogen.

[0086] In some embodiments of Formula (II-a ) or Formula (III-ai ), each instance of R A< is hydrogen to provide a ring system of formula:

[0087] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1 to provide a ring system of the formula:

[0088] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1 to provide a ring system of the formula:

[0089] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is halogen. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is F. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is Cl. In certain embodiments of m is 1, 2, or 3; and at least one instance of R A< is Br. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is I (iodine). In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1; and R A< is halogen. In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 1; and R A< is Cl (chlorine). In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 1; and R A< is Br (bromine). In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 1; and R A< is I (iodine).

[0090] In some embodiments of Formula (II-a ) or Formula (III-ai ), m is 1; and R A< is halogen ("Hal") to provide a ring system of formula:

[0091] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted alkyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1, 2, or; and at least one instance of R A< is unsubstituted alkyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted C 1-6 alkyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1, 2, or 3; and at least one instance of R A< is substituted C 1-6 alkyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is C 1-6 alkyl substituted with at least one halogen. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -CH 3 . In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted methyl. In certain embodiments of Formula (II-a) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -CF 3 . In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted ethyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted propyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted butyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted pentyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted hexyl.

[0092] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted heteroalkyl, wherein at least one atom in the alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted heteroalkyl, wherein at least one atom in the alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted C 1-6 heteroalkyl, wherein at least one atom in the C 1-6 alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0093] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted alkenyl, e.g., substituted or unsubstituted C 2-6 alkenyl, substituted or unsubstituted C 2-5 alkenyl, substituted or unsubstituted C 2-4 alkenyl, or substituted or unsubstituted C 2-3 alkenyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted alkenyl.

[0094] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted heteroalkenyl, e.g., substituted or unsubstituted C 2-6 heteroalkenyl, substituted or unsubstituted C 2-5 heteroalkenyl, substituted or unsubstituted C 2-4 heteroalkenyl, or substituted or unsubstituted C 2-3 heteroalkenyl, wherein at least one atom in the alkenyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted heteroalkenyl, wherein at least one atom in the alkenyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0095] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted alkynyl, e.g., substituted or unsubstituted C 2-6 alkynyl, substituted or unsubstituted C 2-5 alkynyl, substituted or unsubstituted C 2-4 alkynyl, or substituted or unsubstituted C 2-3 alkynyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted alkynyl.

[0096] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted heteroalkynyl, e.g., substituted or unsubstituted C 2-6 heteroalkynyl, substituted or unsubstituted C 2-5 heteroalkynyl, substituted or unsubstituted C 2-4 heteroalkynyl, or substituted or unsubstituted C 2-3 heteroalkynyl, wherein at least one atom in the alkynyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsubstituted heteroalkynyl, wherein at least one atom in the alkynyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0097] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OR A1< , wherein R A1< is hydrogen (i.e., to provide -OH). In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OR A1< , wherein R A1< is a non-hydrogen group. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OR A1< , wherein R A1< is a substituted or unsubstituted alkyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1, 2, or 3 and at least one instance of R A< is -OR A1< , wherein R A1< is a substituted or unsubstituted C 1-6 alkyl. For example, in certain embodiments of Formula (II-a) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OR A1< , wherein R A1< is -CH 3 (i.e., to provide -OCH 3 ). In some embodiments of Formula (II-a ) or Formula (III-ai), R A< is -OR A1< to provide a ring system of formula:

[0098] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -SR A1< , wherein R A1< is hydrogen (i.e., to provide -SH), or a non-hydrogen group.

[0099] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -N(R A1< ) 2 , wherein at least one R A1< is hydrogen (e.g., to provide - NH 2 or NHR A1< ), each R A1< is a non-hydrogen group, or wherein two R A1< groups are joined to form a substituted or unsubstituted heterocyclic or heteroaryl ring.

[0100] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -CN.

[0101] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -NO 2 .

[0102] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -C(=NR A1< )R A1< , wherein R A1< is hydrogen (i.e., to provide - C(=NH)H), or a non-hydrogen group.

[0103] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -C(=NR A1< )OR A1< , wherein R A1< is hydrogen (i.e., to provide - C(=NH)OH), or a non-hydrogen group.

[0104] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -C(=NR A1< )N(R A1< ) 2 , wherein R A1< is hydrogen (i.e., to provide - C(=NH)NH 2 ), or a non-hydrogen group.

[0105] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -C(=O)R A1< , wherein R A1< is hydrogen (i.e., to provide -C(=O)H), or a non-hydrogen group.

[0106] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -C(=O)OR A1< , wherein R A1< is hydrogen (i.e., to provide - C(=O)OH), or a non-hydrogen group.

[0107] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -C(=O)N(R A1< ) 2 , wherein R A1< is hydrogen (i.e., to provide - C(=O)NH 2 ), or a non-hydrogen group.

[0108] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -NR A1< C(=O)R A1< , wherein R A1< is hydrogen (i.e., to provide - NHC(=O)H), or a non-hydrogen group.

[0109] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -NR A1< C(=O)OR A1< , wherein R A1< is hydrogen (i.e., to provide - NHC(=O)OH), or a non-hydrogen group.

[0110] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -NR A1< C(=O)N(R A1< ) 2 , wherein R A1< is hydrogen (i.e., to provide - NHC(=O)NH 2 ), or a non-hydrogen group.

[0111] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OC(=O)R A1< , wherein R A1< is hydrogen (i.e., to provide - OC(=O)H), or a non-hydrogen group.

[0112] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OC(=O)OR A1< , wherein R A1< is hydrogen (i.e., to provide - OC(=O)OH), or a non-hydrogen group.

[0113] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is -OC(=O)N(R A1< ) 2 , wherein R A1< is hydrogen (i.e., to provide - OC(=O)NH 2 ), or a non-hydrogen group.

[0114] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted carbocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is saturated carbocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsaturated carbocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is monocyclic C 3-7 carbocyclyl.

[0115] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is substituted or unsubstituted heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is saturated heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is unsaturated heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is heterocyclyl, wherein one, two, or three atoms in the heterocyclic ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3; and at least one instance of R A< is 3- to 7-membered, monocyclic heterocyclyl.

[0116] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is substituted or unsubstituted aryl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is C 6-10 aryl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is monocyclic aryl. In certain embodiments of Formula (II-a ) or Formula (III- ai), m is 1, 2, or 3 and at least one instance of R A< is substituted phenyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is unsubstituted phenyl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is bicyclic aryl.

[0117] In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is substituted or unsubstituted heteroaryl. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is heteroaryl, wherein one, two, three, or four atoms in the heteroaryl ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is monocyclic heteroaryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), m is 1, 2, or 3 and at least one instance of R A< is 5- or 6-membered, monocyclic heteroaryl. In certain embodiments of Formula (II-a) or Formula (III-ai ), m is 1, 2, or 3 and at least one instance of R A< is bicyclic heteroaryl, wherein the point of attachment may be on any atom of the bicyclic heteroaryl ring system, as valency permits.

[0118] Furthermore, as generally described herein, in any of the above described embodiments of group R A< comprising a group R A1< , each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring

[0119] In any of the above described embodiments of R A< comprising a group R A1< , at least one instance of R A1< is substituted or unsubstituted alkyl, e.g., substituted or unsubstituted C 1-6 alkyl, e.g., substituted or unsubstituted C 1 alkyl, substituted or unsubstituted C 2 alkyl, substituted or unsubstituted C 3 alkyl, substituted or unsubstituted C 4 alkyl, substituted or unsubstituted C 5 alkyl, or substituted or unsubstituted C 6 alkyl.

[0120] In any of the above described embodiments of R A< comprising a group R A1< , at least one instance of R A1< is substituted or unsubstituted C 2-6 alkenyl, e.g., substituted or unsubstituted C 2 alkenyl, substituted or unsubstituted C 3 alkenyl, substituted or unsubstituted C 4 alkenyl, substituted or unsubstituted C 5 alkenyl, or substituted or unsubstituted C 6 alkenyl.

[0121] In any of the above described embodiments of R A< comprising a group R A1< , at least one instance of R A1< is substituted or unsubstituted C 2-6 alkynyl, e.g., substituted or unsubstituted C 2 alkynyl, substituted or unsubstituted C 3 alkynyl, substituted or unsubstituted C 4 alkynyl, substituted or unsubstituted C 5 alkynyl, or substituted or unsubstituted C 6 alkynyl.

[0122] In certain embodiments of Formula (II-a ) or Formula (III-ai ), e.g., wherein R A< is-N(R A1< ) 2 , -C(=NR A1< )N(R A1< ) 2 ,-C(=O)N(R A1< ) 2 , -NR A< 1C(=O)N(R A1< ) 2 , or -OC(=O)N(R A1< ) 2 , two instances of R A1< , e.g., attached to the same nitrogen (N) atom, are joined to form a substituted or unsubstituted heterocyclic ring. In certain embodiments of Formula (II-a ) or Formula (III-ai ), two instances of R A1< are joined to form a saturated heterocyclic ring. In certain embodiments of Formula (II-a ) or Formula (III-ai ), two instances of R A1< are joined to form an unsaturated heterocyclic ring. In certain embodiments of Formula (II-a) or Formula (III-ai ), two instances of R A1< are joined to form a heterocyclic ring, wherein one, two, or three atoms in the heterocyclic ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), two instances of R A1< are joined to form a 3- to 7-membered, monocyclic heterocyclic ring.

[0123] In certain embodiments of Formula (II-a ) or Formula (III-ai ), e.g., wherein R A< is-N(R A1< ) 2 , -C(=NR A1< )N(R A1< ) 2 ,-C(=O)N(R A1< ) 2 , -NR A< 1C(=O)N(R A1< ) 2 , or -OC(=O)N(R A1< ) 2 , two instances of R A1< , e.g., attached to the same nitrogen (N) atom, are joined to form a substituted or unsubstituted heteroaryl ring. In certain embodiments of Formula (II-a ) or Formula (III-ai ), two instances of R A1< are joined to form a substituted or unsubstituted, 5- to 6-membered, monocyclic heteroaryl ring, wherein one, two, three, or four atoms in the heteroaryl ring system are independently nitrogen, oxygen, or sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai ), two instances of R A1< are joined to form a substituted or unsubstituted, 9- to 10-membered, monocyclic heteroaryl ring, wherein one, two, three, or four atoms in the heteroaryl ring system are independently nitrogen, oxygen, or sulfur.

[0124] In some embodiments, various tricyclic ring systems are contemplated.

[0125] For example, in some embodiments of Formula (II-a ), alternatively, two R A< groups are joined to form a substituted or unsubstituted aryl, a substituted or unsubstituted heteroaryl, a substituted or unsubstituted carbocyclyl, or a substituted or unsubstituted heterocarbocyclyl. In some embodiments, two R A< groups are joined to form a substituted or unsubstituted. 6-membered aryl. For example, in some embodiments, when two R A< groups are joined to form a substituted or unsubstituted, 6-membered aryl ring, provided is a group of formula: wherein: each instance of R A2< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, -OR A3< , -N(R A3< ) 2 , -SR A3< , -CN, -C(R A3< ) 3 , -SCN, - C(=NR A3< )R A3< , -C(=NR A3< )OR A3< , -C(=NR A3< )N(R A3< ) 2 , -C(=O)R A3< , -C(=O)OR A3< ,-C(=O)N(R A3< ) 2 , -NO 2 , -NR A3< C(=O)R A3< , -NR A3< , -NR A3< C(=O)N(R A3< ) 2 ,-OC(=O)R A3< , -OC(=O)OR A3< , -OC(=O)N(R A3< ) 2 ; each instance of R A3< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; and p is 0, 1, 2, 3, or 4.

[0126] In some embodiments, p is 0; and R A2< is absent.

[0127] Alternatively, in some embodiments, two R A< groups are joined to form a substituted or unsubstituted 5- to 6-membered carbocyclic ring. For example, in some embodiments, wherein two R A< groups are joined to form a substituted or unsubstituted carbocyclic ring, provided is a group of formula: wherein: each instance of R A2< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, -OR A3< , -N(R A3< ) 2 , -SR A3< , -CN, -C(R A3< ) 3 , -SCN, - C(=NR A3< )R A3< , -C(=NR A3< )OR A3< , -C(=NR A3< )N(R A3< ) 2 , -C(=O)R A3< , -C(=O)OR A3< ,-C(=O)N(R A3< ) 2 , -NO 2 , -NR A3< C(=O)R A3< , -NR A3< C(=O)OR A3< , -NR A3< C(=O)N(R A3< ) 2 ,-OC(=O)R A3< , -OC(=O)OR A3< , -OC(=O)N(R A3< ) 2 ; each instance of R A3< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; and p is 0, 1, 2, 3, 4, 5, or 6.

[0128] In some embodiments, p is 0; and R A2< is absent. In some embodiments, p is 0, 1, 2, or 3.Group R X<

[0129] As generally described herein, R X< is independently hydrogen, substituted or unsubstituted alkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted acyl, or a nitrogen protecting group. In some embodiments of Formula (II-a )or Formaula (III-ai ), R X< is hydrogen, e.g., to provide a ring system of formula:

[0130] In certain embodiments of Formula (II-a ), R X< is substituted alkyl. In certain embodiments of Formula (II-a ), R X< is unsubstituted alkyl. In certain embodiments of Formula (II-a ), R X< is unsubstituted C 1-6 alkyl. In certain embodiments of Formula (II-a ), R X< is substituted C 1-6 alkyl. In certain embodiments of Formula (II-a ), R X< is -CH 3 . In certain embodiments of Formula (II-a ), R X< is C 1-6 alkyl substituted with at least one halogen. In certain embodiments of Formula (II-a ), R X< is substituted methyl. In certain embodiments of Formula (II-a ), R X< is unsubstituted methyl. In certain embodiments of Formula (II-a ), R X< is - CF 3 . In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted ethyl. In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted propyl. In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted butyl. In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted pentyl. In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted hexyl.

[0131] In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted alkenyl, e.g., substituted or unsubstituted C 2-6 alkenyl, substituted or unsubstituted C 2-5 alkenyl, substituted or unsubstituted C 2-4 alkenyl, or substituted or unsubstituted C 2-3 alkenyl. In certain embodiments of Formula (II-a ), R X< is unsubstituted alkenyl.

[0132] In certain embodiments of Formula (II-a ), R X< is substituted alkynyl, e.g., substituted or unsubstituted C 2-6 alkynyl, substituted or unsubstituted C 2-5 alkynyl, substituted or unsubstituted C 2-4 alkynyl, or substituted or unsubstituted C 2-3 alkynyl. In certain embodiments of Formula (II-a ), R X< is unsubstituted alkynyl.

[0133] In certain embodiments of Formula (II-a ), R X< is substituted or unsubstituted acyl. In certain embodiments of Formula (I), R X< is substituted acyl. In certain embodiments of Formula (II-a ), R X< is unsubstituted acyl.

[0134] In certain embodiments of Formula (II-a ), R X< is a nitrogen protecting group. In certain embodiments of Formula (II-a ), R X< is Bn, Boc, Cbz, Fmoc, trifluoroacetyl, triphenylmethyl, acetyl, or Ts.Group R C<

[0135] R C< is hydrogen, e.g., to provide a ring system of formula: or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof.

[0136] Provided herein are compounds of Formula (II-a ): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein: X 1< is N or CR A< ; R X< is hydrogen, substituted or unsubstituted alkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted acyl, or a nitrogen protecting group; each instance of R A< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR A1< , -N(R A1< ) 2 , -SR A1< , -CN, -C(R A1< ) 3 , -SCN, -C(=NR A1< )R A1< , - C(=NR A1< )OR A1< , -C(=NR A1< )N(R A1< ) 2 , -C(=O)R A1< , -C(=O)OR A1< , -C(=O)N(R A1< ) 2 , -NO 2 , - NR A1< C(=O)R A1< , -NR A1< C(=O)OR A1< , -NR A1< C(=O)N(R A1< ) 2 , -OC(=O)R A1< , -OC(=O)OR A1< , - OC(=O)N(R A1< ) 2 , or two R A< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R C< is hydrogen; each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R B< is halogen, C 1-6 alkyl substituted with at least one halogen, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR B1< , -N(R B1< ) 2 , -SR B1< , -CN, -C(R B1< )3, -SCN, -C(=NR B1< )R B1< , -C(=NR B1< )OR B1< , -C(=NR B1< )N(R B1< ) 2 , -C(=O)OR B1< , -C(=O)N(R B1< ) 2 , -NO 2 , -NR B1< C(=O)R B1< , -NR B1< C(=O)OR B1< , -NR B1< C(=O)N(R B1< ) 2 , -OC(=O)R B1< , -OC(=O)OR B1< , or -OC(=O)N(R B1< ) 2 ; each instance of R B1< is independently hydrogen, halogen, substituted or unsubstituted C 2-6 alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of R Z< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR Z1< , -N(R Z1< ) 2 , -SR Z1< , -CN, -C(R Z1< ) 3 , -SCN, -C(=NR Z1< )R Z1< , -C(=NR Z1< )OR Z1< , -C(=NR Z1< )N(R Z1< ) 2 , -C(=O)R Z1< , -C(=O)OR Z1< , -C(=O)N(R Z1< ) 2 , -NO 2 , -NR Z1< C(=O)R Z1< , - NR Z1< C(=O)OR Z1< , -NR Z1< C(=O)N(R Z1< ) 2 , -OC(=O)R Z1< , -OC(=O)OR Z1< ,or -OC(=O)N(R Z1< ) 2 ; and each instance of R Z1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R Z1< groups bonded to the same nitrogen atom are joined to form a substituted or unsubstituted heterocyclic or substituted or unsubstituted heteroaryl ring; m is 0, 1, 2, or 3; r is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -OR aa< , -N(R cc< ) 2 , -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , C 1-10 alkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of an oxygen protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2, -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of a sulfur protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of R aa< is, independently, selected from C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R aa< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R bb< is, independently, selected from hydrogen, -OH, -OR aa< , -N(R cc< ) 2 , -CN, -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O) 2 N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R bb< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R cc< is, independently, selected from hydrogen, C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R dd< is, independently, selected from halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OR ee< , -ON(R ff< ) 2 , -N(R ff< ) 2 , -N(R ff< ) 3 +< X -< , -N(OR ee< )R ff< , -SH, -SR ee< , -SSR ee< , -C(=O)R ee< , -CO 2 H, -CO 2 R ee< , -OC(=O)R ee< , -OCO 2 R ee< , -C(=O)N(R ff< ) 2 , -OC(=O)N(R ff< ) 2 , -NR ff< C(=O)R ee< , -NR ff< CO 2 R ee< , -NR ff< C(=O)N(R ff< ) 2 , -C(=NR ff< )OR ee< , -OC(=NR ff< )R ee< , -OC(=NR ff< )OR ee< , -C(=NR ff< )N(R ff< ) 2 , -OC(=NR ff< )N(R ff< ) 2 , -NR ff< C(=NR ff< )N(R ff< ) 2 ,-NR ff< SO 2 R ee< , -SO 2 N(R ff< ) 2 , -SO 2 R ee< , -SO 2 OR ee< , -OSO 2 R ee< , -S(=O)R ee< , -Si(R ee< ) 3 , -OSi(R ee< ) 3 , -C(=S)N(R ff< ) 2 , -C(=O)SR ee< , -C(=S)SR ee< , -SC(=S)SR ee< , -P(=O) 2 R ee< , -P(=O)(R ee< ) 2 , -OP(=O)(R ee< ) 2 , -OP(=O)(OR ee< ) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups, or two geminal R dd< substituents can be joined to form =O or =S; each instance of R ee< is, independently, selected from C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; each instance of R ff< is, independently, selected from hydrogen, C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, or two R ff< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; and each instance of R gg< is, independently, halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OC 1-6 alkyl, -ON(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 3 +< X -< , -NH(C 1-6 alkyl) 2 +< X -< , -NH 2 (C 1-6 alkyl) +< X -< , -NH 3 +< X -< , -N(OC 1-6 alkyl)(C 1-6 alkyl), -N(OH)(C 1-6 alkyl), -NH(OH), -SH, -SC 1-6 alkyl, -SS(C 1-6 alkyl), -C(=O)(C 1-6 alkyl), -CO 2 H, -CO 2 (C 1-6 alkyl), -OC(=O)(C 1-6 alkyl), -OCO 2 (C 1-6 alkyl), -C(=O)NH 2 , -C(=O)N(C 1-6 alkyl) 2 , -OC(=O)NH(C 1-6 alkyl), -NHC(=O)( C 1-6 alkyl), -N(C 1-6 alkyl)C(=O)( C 1-6 alkyl), -NHCO 2 (C 1-6 alkyl), -NHC(=O)N(C 1-6 alkyl) 2 , -NHC(=O)NH(C 1-6 alkyl), -NHC(=O)NH 2 , -C(=NH)O(C 1-6 alkyl),-OC(=NH)(C 1-6 alkyl), -OC(=NH)OC 1-6 alkyl, -C(=NH)N(C 1-6 alkyl) 2 , -C(=NH)NH(C 1-6 alkyl), -C(=NH)NH 2 , -OC(=NH)N(C 1-6 alkyl) 2 , -OC(NH)NH(C 1-6 alkyl), -OC(NH)NH 2 , -NHC(NH)N(C 1-6 alkyl) 2 , -NHC(=NH)NH 2 , -NHSO 2 (C 1-6 alkyl), -SO 2 N(C 1-6 alkyl) 2 , -SO 2 NH(C 1-6 alkyl), -SO 2 NH 2 ,-SO 2 C 1-6 alkyl, -SO 2 OC 1-6 alkyl, -OSO 2 C 1-6 alkyl, -SOC 1-6 alkyl, -Si(C 1-6 alkyl) 3 , -OSi(C 1-6 alkyl) 3 -C(=S)N(C 1-6 alkyl) 2 , C(=S)NH(C 1-6 alkyl), C(=S)NH 2 , -C(=O)S(C 1-6 alkyl), -C(=S)SC 1-6 alkyl, -SC(=S)SC 1-6 alkyl, -P(=O) 2 (C 1-6 alkyl), -P(=O)(C 1-6 alkyl) 2 , -OP(=O)(C 1-6 alkyl) 2 , -OP(=O)(OC 1-6 alkyl) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal R gg< substituents can be joined to form =O or =S; wherein X -< is a counterion; with the proviso that the compound is not

[0137] In some embodiments of Formula (II-a ), the group of formula is selected from the group consisting of wherein R B< and each instance of R Z< are independently a group as described herein.

[0138] In some embodiments of Formula (II-a), to provide a compound of Formula (II-ai ): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein: X 1< is N or CR A< ; R X< is hydrogen, substituted or unsubstituted alkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted acyl, or a nitrogen protecting group; each instance of R A< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR A1< , -N(R A1< ) 2 , -SR A1< , -CN, -C(R A1< ) 3 , -SCN, -C(=NR A1< )R A1< , - C(=NR A1< )OR A1< , -C(=NR A1< )N(R A1< ) 2 , -C(=O)R A1< , -C(=O)OR A1< , -C(=O)N(R A1< ) 2 , -NO 2 , - NR A1< C(=O)R A1< , -NR A1< C(=O)OR A1< , -NR A1< C(=O)N(R A1< ) 2 , -OC(=O)R A1< , -OC(=O)OR A1< , - OC(=O)N(R A1< ) 2 , or two R A< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R C< is hydrogen; each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R B< is halogen, C 1-6 alkyl substituted with at least one halogen, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR B1< , -N(R B1< ) 2 , -SR B1< , -CN, -C(R B1< ) 3 , -SCN, -C(=NR B1< )R B1< , -C(=NR B1< )OR B1< , -C(=NR B1< )N(R B1< ) 2 , -C(=O)OR B1< , -C(=O)N(R B1< ) 2 , -NO 2 , -NR B1< C(=O)R B1< , -NR B1< C(=O)OR B1< , -NR B1< C(=O)N(R B1< ) 2 , -OC(=O)R B1< , -OC(=O)OR B1< , or -OC(=O)N(R B1< ) 2 ; each instance of R B1< is independently hydrogen, halogen, substituted or unsubstituted C 2-6 alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of R Z< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR Z1< , -N(R Z1< ) 2 , -SR Z1< , -CN, -C(R Z1< ) 3 , -SCN, -C(=NR Z1< )R Z1< , -C(=NR Z1< )OR Z1< , -C(=NR Z1< )N(R Z1< ) 2 , -C(=O)R Z1< , -C(=O)OR Z1< , -C(=O)N(R Z1< ) 2 , -NO 2 , -NR Z1< C(=O)R Z1< , - NR Z1< C(=O)OR Z1< , -NR Z1< C(=O)N(R Z1< ) 2 , -OC(=O)R Z1< , -OC(=O)OR Z1< , or -OC(=O)N(R Z1< ) 2 ; and each instance of R Z1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R Z1< groups bonded to the same nitrogen atom are joined to form a substituted or unsubstituted heterocyclic, or substituted or unsubstituted heteroaryl ring; m is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -OR aa< , -N(R cc< ) 2 , -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , C 1-10 alkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of an oxygen protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2, -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of a sulfur protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of R aa< is, independently, selected from C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R aa< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R bb< is, independently, selected from hydrogen, -OH, -OR aa< , -N(R cc< ) 2 , -CN, -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O) 2 N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R bb< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R cc< is, independently, selected from hydrogen, C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R dd< is, independently, selected from halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OR ee< , -ON(R ff< ) 2 , -N(R ff< ) 2 , -N(R ff< ) 3 +< X -< , -N(OR ee< )R ff< , -SH, -SR ee< , -SSR ee< , -C(=O)R ee< , -CO 2 H, -CO 2 R ee< , -OC(=O)R ee< , -OCO 2 R ee< , -C(=O)N(R ff< ) 2 , -OC(=O)N(R ff< ) 2 , -NR ff< C(=O)R ee< , -NR ff< CO 2 R ee< , -NR ff< C(=O)N(R ff< ) 2 , -C(=NR ff< )OR ee< , -OC(=NR ff< )R ee< , -OC(=NR ff< )OR ee< , -C(=NR ff< )N(R ff< ) 2 , -OC(=NR ff< )N(R ff< ) 2 , -NR ff< C(=NR ff< )N(R ff< ) 2 ,-NR ff< SO 2 R ee< , -SO 2 N(R ff< ) 2 , -SO 2 R ee< , -SO 2 OR ee< , -OSO 2 R ee< , -S(=O)R ee< , -Si(R ee< ) 3 , -OSi(R ee< ) 3 , -C(=S)N(R ff< ) 2 , -C(=O)SR ee< , -C(=S)SR ee< , -SC(=S)SR ee< , -P(=O) 2 R ee< , -P(=O)(R ee< ) 2 , -OP(=O)(R ee< ) 2 , -OP(=O)(OR ee< ) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups, or two geminal R dd< substituents can be joined to form =O or =S; each instance of R ee< is, independently, selected from C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; each instance of R ff< is, independently, selected from hydrogen, C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, or two R ff< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; and each instance of R gg< is, independently, halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OC 1-6 alkyl, -ON(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 3 +< X -< , -NH(C 1-6 alkyl) 2 +< X -< , -NH 2 (C 1-6 alkyl) +< X -< , -NH 3 +< X -< , -N(OC 1-6 alkyl)(C 1-6 alkyl), -N(OH)(C 1-6 alkyl), -NH(OH), -SH, -SC 1-6 alkyl, -SS(C 1-6 alkyl), -C(=O)(C 1-6 alkyl), -CO 2 H, -CO 2 (C 1-6 alkyl), -OC(=O)(C 1-6 alkyl), -OCO 2 (C 1-6 alkyl), -C(=O)NH 2 , -C(=O)N(C 1-6 alkyl) 2 , -OC(=O)NH(C 1-6 alkyl), -NHC(=O)( C 1-6 alkyl), -N(C 1-6 alkyl)C(=O)( C 1-6 alkyl), -NHCO 2 (C 1-6 alkyl), -NHC(=O)N(C 1-6 alkyl) 2 , -NHC(=O)NH(C 1-6 alkyl), -NHC(=O)NH 2 , -C(=NH)O(C 1-6 alkyl),-OC(=NH)(C 1-6 alkyl), -OC(=NH)OC 1-6 alkyl, -C(=NH)N(C 1-6 alkyl) 2 , -C(=NH)NH(C 1-6 alkyl), -C(=NH)NH 2 , -OC(=NH)N(C 1-6 alkyl) 2 , -OC(NH)NH(C 1-6 alkyl), -OC(NH)NH 2 , -NHC(NH)N(C 1-6 alkyl) 2 , -NHC(=NH)NH 2 , -NHSO 2 (C 1-6 alkyl), -SO 2 N(C 1-6 alkyl) 2 , -SO 2 NH(C 1-6 alkyl), -SO 2 NH 2 ,-SO 2 C 1-6 alkyl, -SO 2 OC 1-6 alkyl, -OSO 2 C 1-6 alkyl, -SOC 1-6 alkyl, -Si(C 1-6 alkyl) 3 , -OSi(C 1-6 alkyl) 3 -C(=S)N(C 1-6 alkyl) 2 , C(=S)NH(C 1-6 alkyl), C(=S)NH 2 , -C(=O)S(C 1-6 alkyl), -C(=S)SC 1-6 alkyl, -SC(=S)SC 1-6 alkyl, -P(=O) 2 (C 1-6 alkyl), -P(=O)(C 1-6 alkyl) 2 , -OP(=O)(C 1-6 alkyl) 2 , -OP(=O)(OC 1-6 alkyl) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal R gg< substituents can be joined to form =O or =S; wherein X -< is a counterion; with the proviso that the compound is not

[0139] In some embodiments of Formula (II-a ), wherein r is 0; and R Z< is absent, provided is a compound of Formula (II-aii ): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof.

[0140] In some embodiments of Formula (II-a ), wherein r is 0; and R Z< is absent, provided is a compound of Formula (II-aiii ): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof.

[0141] Provided herein are compounds of Formula (III-ai): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein Z 1< is S; X 1< is CR A< ; R X< is hydrogen; each instance of R A< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroaryl, -OR A1< , -N(R A1< ) 2 , -SR A1< , -CN, -C(R A1< ) 3 , -SCN, -C(=NR A1< )R A1< , -C(=NR A1< )OR A1< , -C(=NR A1< )N(R A1< ) 2 , -C(=O)R A1< , -C(=O)OR A1< , -C(=O)N(R A1< ) 2 , -NO 2 , -NR A1< C(=O)R A1< , -NR A1< C(=O)OR A1< , -NR A1< C(=O)N(R A1< ) 2 , -OC(=O)R A1< , -OC(=O)OR A1< , or -OC(=O)N(R A1< ) 2 ; each instance of R A1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R A1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of R B< is independently substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR B1< , -N(R B1< ) 2 , -SR B1< , -CN, -C(R B1< ) 3 , -SCN, - C(=NR B1< )R B1< , -C(=NR B1< )OR B1< , -C(=NR B1< )N(R B1< ) 2 , -C(=O)R B1< , -C(=O)OR B1< , -C(=O)N(R B1< ) 2 , -NO 2 , -NR B1< C(=O)R B1< , -NR B1< C(=O)OR B1< , -NR B1< C(=O)N(R B1< ) 2 , -OC(=O)R B1< , -OC(=O)OR B1< , or -OC(=O)N(R B1< ) 2 ; each instance of R B1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R B1< groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; R C< is hydrogen; m is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -OR aa< , -N(R cc< ) 2 , -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , C 1-10 alkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of an oxygen protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2, -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of a sulfur protecting group is independently selected from -R aa< , -N(R bb< ) 2 , -C(=O)SR aa< , -C(=O)R aa< , -CO 2 R aa< , -C(=O)N(R bb< ) 2 , -C(=NR bb< )R aa< , -C(=NR bb< )OR aa< , -C(=NR bb< )N(R bb< ) 2 , -S(=O)R aa< , -SO 2 R aa< , -Si(R aa< ) 3 , -P(R cc< ) 2 , -P(R cc< ) 3 , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O)(OR cc< ) 2 , -P(=O) 2 N(R bb< ) 2 , and -P(=O)(NR bb< ) 2 ; each instance of R aa< is, independently, selected from C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R aa< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R bb< is, independently, selected from hydrogen, -OH, -OR aa< , -N(R cc< ) 2 , -CN, -C(=O)R aa< , -C(=O)N(R cc< ) 2 , -CO 2 R aa< , -SO 2 R aa< , -C(=NR cc< )OR aa< , -C(=NR cc< )N(R cc< ) 2 , -SO 2 N(R cc< ) 2 , -SO 2 R cc< , -SO 2 OR cc< , -SOR aa< , -C(=S)N(R cc< ) 2 , -C(=O)SR cc< , -C(=S)SR cc< , -P(=O) 2 R aa< , -P(=O)(R aa< ) 2 , -P(=O) 2 N(R cc< ) 2 , -P(=O)(NR cc< ) 2 , C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R bb< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R cc< is, independently, selected from hydrogen, C 1-10 alkyl, C 1-10 perhaloalkyl, C 2-10 alkenyl, C 2-10 alkynyl, C 1-10 heteroalkyl, C 2-10 heteroalkenyl, C 2-10 heteroalkynyl, C 3-10 carbocyclyl, 3-14 membered heterocyclyl, C 6-14 aryl, and 5-14 membered heteroaryl, or two R cc< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R dd< groups; each instance of R dd< is, independently, selected from halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OR ee< , -ON(R ff< ) 2 , -N(R ff< ) 2 , -N(R ff< ) 3 +< X -< , -N(OR ee< )R ff< , -SH, -SR ee< , -SSR ee< , -C(=O)R ee< , -CO 2 H, -CO 2 R ee< , -OC(=O)R ee< , -OCO 2 R ee< , -C(=O)N(R ff< ) 2 , -OC(=O)N(R ff< ) 2 , -NR ff< C(=O)R ee< , -NR ff< CO 2 R ee< , -NR ff< C(=O)N(R ff< ) 2 , -C(=NR ff< )OR ee< , -OC(=NR ff< )R ee< , -OC(=NR ff< )OR ee< , -C(=NR ff< )N(R ff< ) 2 , -OC(=NR ff< )N(R ff< ) 2 , -NR ff< C(=NR ff< )N(R ff< ) 2 ,-NR ff< SO 2 R ee< , -SO 2 N(R ff< ) 2 , -SO 2 R ee< , -SO 2 OR ee< , -OSO 2 R ee< , -S(=O)R ee< , -Si(R ee< ) 3 , -OSi(R ee< ) 3 , -C(=S)N(R ff< ) 2 , -C(=O)SR ee< , -C(=S)SR ee< , -SC(=S)SR ee< , -P(=O) 2 R ee< , -P(=O)(R ee< ) 2 , -OP(=O)(R ee< ) 2 , -OP(=O)(OR ee< ) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups, or two geminal R dd< substituents can be joined to form =O or =S; each instance of R ee< is, independently, selected from C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; each instance of R ff< is, independently, selected from hydrogen, C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, 3-10 membered heterocyclyl, C 6-10 aryl, and 5-10 membered heteroaryl, or two R ff< groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 R gg< groups; and each instance of R gg< is, independently, halogen, -CN, -NO 2 , -N 3 , -SO 2 H, -SO 3 H, -OH, -OC 1-6 alkyl, -ON(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 2 , -N(C 1-6 alkyl) 3 +< X -< , -NH(C 1-6 alkyl) 2 +< X -< , -NH 2 (C 1-6 alkyl) +< X -< , -NH 3 +< X -< , -N(OC 1-6 alkyl)(C 1-6 alkyl), -N(OH)(C 1-6 alkyl), -NH(OH), -SH, -SC 1-6 alkyl, -SS(C 1-6 alkyl), -C(=O)(C 1-6 alkyl), -CO 2 H, -CO 2 (C 1-6 alkyl), -OC(=O)(C 1-6 alkyl), -OCO 2 (C 1-6 alkyl), -C(=O)NH 2 , -C(=O)N(C 1-6 alkyl) 2 , -OC(=O)NH(C 1-6 alkyl), -NHC(=O)( C 1-6 alkyl), -N(C 1-6 alkyl)C(=O)( C 1-6 alkyl), -NHCO 2 (C 1-6 alkyl), -NHC(=O)N(C 1-6 alkyl) 2 , -NHC(=O)NH(C 1-6 alkyl), -NHC(=O)NH 2 , -C(=NH)O(C 1-6 alkyl),-OC(=NH)(C 1-6 alkyl), -OC(=NH)OC 1-6 alkyl, -C(=NH)N(C 1-6 alkyl) 2 , -C(=NH)NH(C 1-6 alkyl), -C(=NH)NH 2 , -OC(=NH)N(C 1-6 alkyl) 2 , -OC(NH)NH(C 1-6 alkyl), -OC(NH)NH 2 , -NHC(NH)N(C 1-6 alkyl) 2 , -NHC(=NH)NH 2 , -NHSO 2 (C 1-6 alkyl), -SO 2 N(C 1-6 alkyl) 2 , -SO 2 NH(C 1-6 alkyl), -SO 2 NH 2 ,-SO 2 C 1-6 alkyl, -SO 2 OC 1-6 alkyl, -OSO 2 C 1-6 alkyl, -SOC 1-6 alkyl, -Si(C 1-6 alkyl) 3 , -OSi(C 1-6 alkyl) 3 -C(=S)N(C 1-6 alkyl) 2 , C(=S)NH(C 1-6 alkyl), C(=S)NH 2 , -C(=O)S(C 1-6 alkyl), -C(=S)SC 1-6 alkyl, -SC(=S)SC 1-6 alkyl, -P(=O) 2 (C 1-6 alkyl), -P(=O)(C 1-6 alkyl) 2 , -OP(=O)(C 1-6 alkyl) 2 , -OP(=O)(OC 1-6 alkyl) 2 , C 1-6 alkyl, C 1-6 perhaloalkyl, C 2-6 alkenyl, C 2-6 alkynyl, C 1-6 heteroalkyl, C 2-6 heteroalkenyl, C 2-6 heteroalkynyl, C 3-10 carbocyclyl, C 6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal R gg< substituents can be joined to form =O or =S; wherein X -< is a counterion. Group R B< and n

[0142] In certain embodiments of Formula (II-a ), R B< is halogen. In some embodiments of Formula (II-a ), R B< is Cl (chlorine). In some embodiments of Formula (II-a ), R B< is Br (bromine). In some embodiments of Formula (II-a ), R B< is I (iodine).

[0143] In certain embodiments of Formula (II-a ), R B< is C 1-6 alkyl substituted with at least one halogen. In certain embodiments of Formula (II-a ), R B< is -CH 2 F. In certain embodiments of Formula (II-a ), R B< is -CHF 2 . In certain embodiments of Formula (II-a ), R B< is -CF 3 .

[0144] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted heteroalkyl, wherein at least one atom in the alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) and Formula (III-ai ), R B< is unsubstituted heteroalkyl, wherein at least one atom in the alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsubstituted C 1-6 heteroalkyl, wherein at least one atom in the C 1-6 alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0145] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted or unsubstituted alkenyl, e.g., substituted or unsubstituted C 2-6 alkenyl, substituted or unsubstituted C 2-5 alkenyl, substituted or unsubstituted C 2-4 alkenyl, or substituted or unsubstituted C 2-3 alkenyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsubstituted alkenyl.

[0146] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted or unsubstituted heteroalkenyl, e.g., substituted or unsubstituted C 2-6 heteroalkenyl, substituted or unsubstituted C 2-5 heteroalkenyl, substituted or unsubstituted C 2-4 heteroalkenyl, or substituted or unsubstituted C 2-3 heteroalkenyl, wherein at least one atom in the alkenyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsubstituted heteroalkenyl, wherein at least one atom in the alkenyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0147] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted alkynyl, e.g., substituted or unsubstituted C 2-6 alkynyl, substituted or unsubstituted C 2-5 alkynyl, substituted or unsubstituted C 2-4 alkynyl, or substituted or unsubstituted C 2-3 alkynyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), is unsubstituted alkynyl.

[0148] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted heteroalkynyl, e.g., substituted or unsubstituted C 2-6 heteroalkynyl, substituted or unsubstituted C 2-5 heteroalkynyl, substituted or unsubstituted C 2-4 heteroalkynyl, or substituted or unsubstituted C 2-3 heteroalkynyl, wherein at least one atom in the alkynyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsubstituted heteroalkynyl, wherein at least one atom in the alkynyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0149] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -OR B1< , wherein R B1< is hydrogen (i.e., to provide -OH). In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -OR B1< , wherein R B1< is a non-hydrogen group. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -OR B1< , wherein R B1< is a substituted or unsubstituted alkyl. In certain embodiments of Formula (III-ai), R B< is -OR B1< , wherein R B1< is a substituted or unsubstituted C 1-6 alkyl. For example, in certain embodiments of Formula (III-ai), R B< is -OR B1< , wherein R B1< is -CH 3 (i.e., to provide - OCH 3 ).

[0150] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -SR B1< , wherein R B1< is hydrogen (i.e., to provide -SH), or a non-hydrogen group.

[0151] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -N(R B1< ) 2 , wherein at least one R B1< is hydrogen (e.g., to provide -NH 2 or NHR B1< ), each R B1< is a non-hydrogen group, or wherein two R B1< groups are joined to form a substituted or unsubstituted heterocyclic or heteroaryl ring.

[0152] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -CN.

[0153] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -NO 2 .

[0154] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -C(=NR B1< )R B1< , wherein R B1< is hydrogen (i.e., to provide -C(=NH)H), or a non-hydrogen group.

[0155] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is - C(=NR B1< )OR B1< , wherein R B1< is hydrogen (i.e., to provide -C(=NH)OH), or a non-hydrogen group.

[0156] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is - C(=NR B1< )N(R B1< ) 2 , wherein R B1< is hydrogen (i.e., to provide -C(=NH)NH 2 ), or a non-hydrogen group.

[0157] In certain embodiments of Formula (III-ai), R B< is -C(=O)R B1< , wherein R B1< is hydrogen (i.e., to provide -C(=O)H), or a non-hydrogen group.

[0158] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -C(=O)OR B1< , wherein R B1< is hydrogen (i.e., to provide -C(=O)OH), or a non-hydrogen group.

[0159] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -C(=O)N(R B1< ) 2 , wherein R B1< is hydrogen (i.e., to provide -C(=O)NH 2 ), or a non-hydrogen group.

[0160] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is - NR B1< C(=O)R B1< , wherein R B1< is hydrogen (i.e., to provide -NHC(=O)H), or a non-hydrogen group.

[0161] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is - NR B1< C(=O)OR B1< , wherein R B1< is hydrogen (i.e., to provide -NHC(=O)OH), or a non-hydrogen group.

[0162] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is - NR B1< C(=O)N(R B1< ) 2 , wherein R B1< is hydrogen (i.e., to provide -NHC(=O)NH 2 ), or a non-hydrogen group.

[0163] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -OC(=O)R B1< , wherein R B1< is hydrogen (i.e., to provide -OC(=O)H), or a non-hydrogen group.

[0164] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is -OC(=O)OR B1< , wherein R B1< is hydrogen (i.e., to provide -OC(=O)OH), or a non-hydrogen group.

[0165] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is - OC(=O)N(R B1< ) 2 , wherein R B1< is hydrogen (i.e., to provide -OC(=O)NH 2 ), or a non-hydrogen group.

[0166] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted or unsubstituted carbocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is saturated carbocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsaturated carbocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is monocyclic C 3-7 carbocyclyl.

[0167] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted or unsubstituted heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is saturated heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsaturated heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is heterocyclyl, wherein one, two, or three atoms in the heterocyclic ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is 3- to 8-membered heterocyclyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is 5- to 6-membered heterocyclyl.

[0168] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted or unsubstituted aryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is C 6-10 aryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is monocyclic aryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted phenyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is unsubstituted phenyl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is bicyclic aryl.

[0169] In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is substituted or unsubstituted heteroaryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is heteroaryl, wherein one, two, three, or four atoms in the heteroaryl ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is monocyclic heteroaryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is 5- or 6-membered, monocyclic heteroaryl. In certain embodiments of Formula (II-a ) or Formula (III-ai), R B< is bicyclic heteroaryl, wherein the point of attachment may be on any atom of the bicyclic heteroaryl ring system, as valency permits.

[0170] In any of the above described embodiments of Formula (III-ai) where R B< comprises a group R B1< , at least one instance of R B1< is substituted or unsubstituted alkyl, e.g., substituted or unsubstituted C 1-6 alkyl, e.g., substituted or unsubstituted C 1 alkyl, substituted or unsubstituted C 2 alkyl, substituted or unsubstituted C 3 alkyl, substituted or unsubstituted C 4 alkyl, substituted or unsubstituted C 5 alkyl, or substituted or unsubstituted C 6 alkyl. In some embodiments of Formula (III-ai), R B1< is C 1 alkyl (e.g., methyl). In some embodiments of Formula (II-a ) or Formula (III-ai), R B1< is C 2 alkyl (e.g., ethyl). In some embodiments of Formula (II-a ) or Formula (III-ai), R B1< is C 3 alkyl (e.g., isopropyl, propyl).

[0171] In any of the above described embodiments of R B< comprising a group R B1< , at least one instance of R B1< is substituted or unsubstituted C 2-6 alkenyl, e.g., substituted or unsubstituted C 2 alkenyl, substituted or unsubstituted C 3 alkenyl, substituted or unsubstituted C 4 alkenyl, substituted or unsubstituted C 5 alkenyl, or substituted or unsubstituted C 6 alkenyl.

[0172] In any of the above described embodiments of R B< comprising a group R B1< , at least one instance of R B1< is substituted or unsubstituted C 2-6 alkynyl, e.g., substituted or unsubstituted C 2 alkynyl, substituted or unsubstituted C 3 alkynyl, substituted or unsubstituted C 4 alkynyl, substituted or unsubstituted C 5 alkynyl, or substituted or unsubstituted C 6 alkynyl.

[0173] In certain embodiments of Formula (I ), e.g., wherein R B< is-N(R B1< ) 2 , - C(=NR B1< )N(R B1< ) 2 ,-C(=O)N(R B1< ) 2 , -NR B1< C(=O)N(R B1< ) 2 , or -OC(=O)N(R B1< ) 2 , two instances of R B1< , e.g., attached to the same nitrogen (N) atom, are joined to form a substituted or unsubstituted heterocyclic ring. In certain embodiments of Formula (II-a ) or Formula (III- ai), two instances of R B1< are joined to form a saturated heterocyclic ring. In certain embodiments of Formula (II-a ) or Formula (III-ai), two instances of R B1< are joined to form an unsaturated heterocyclic ring. In certain embodiments of Formula (II-a ) or Formula (III- ai), two instances of R B1< are joined to form a heterocyclic ring, wherein one, two, or three atoms in the heterocyclic ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ) or Formula (III-ai), two instances of R B1< are joined to form a 3- to 7-membered, monocyclic heterocyclic ring.

[0174] In certain embodiments of Formula (II-a ) or Formula (III-ai), e.g., wherein R B< is-N(R B1< ) 2 , -C(=NR B1< )N(R B1< ) 2 ,-C(=O)N(R B1< ) 2 , -NR B1< C(=O)N(R B1< ) 2 , or -OC(=O)N(R B1< ) 2 , two instances of R B1< , e.g., attached to the same nitrogen (N) atom, are joined to form a substituted or unsubstituted heteroaryl ring. In certain embodiments of Formula (II-a ) or Formula (III-ai), two instances of R B1< are joined to form a substituted or unsubstituted, 5- to 6-membered, monocyclic heteroaryl ring, wherein one, two, three, or four atoms in the heteroaryl ring system are independently nitrogen, oxygen, or sulfur. In certain embodiments of Formula (II-a) or Formula (III-ai), two instances of R B1< are joined to form a substituted or unsubstituted, 9- to 10-membered, monocyclic heteroaryl ring, wherein one, two, three, or four atoms in the heteroaryl ring system are independently nitrogen, oxygen, or sulfur.Group R Z< and r

[0175] As generally described herein, R Z< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -OR Z1< , -N(R Z1< ) 2 , -SR Z1< , -CN, -C(R Z1< ) 3 , -SCN, -C(=NR Z1< )R Z1< , - C(=NR Z1< )OR Z1< , -C(=NR Z1< )N(R Z1< ) 2 , -C(=O)R Z1< , -C(=O)OR Z1< , -C(=O)N(R Z1< ) 2 , -NO 2 , - NR Z1< C(=O)R Z1< , -NR Z1< C(=O)OR Z1< , -NR Z1< C(=O)N(R Z1< ) 2 , -OC(=O)R Z1< , -OC(=O)OR Z1< , or - OC(=O)N(R Z1< ) 2 , and wherein each instance of R Z1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R Z1< groups are bonded to the same nitrogen atom joined to form a substituted or unsubstituted heterocyclicor substituted or unsubstituted heteroaryl ring, and r is 0, 1, 2, or 3.

[0176] In some embodiments of Formula (II-a ), r is 0; and R Z< is absent.

[0177] In some embodiments of Formula (II-a ), r is 1, and R Z< is attached ortho to the point of attachment of -C(=O)-. In some embodiments of Formula (II-a ), r is 1; and R Z< is attached meta to the point of attachment of -C(=O)-. In some embodiments of Formula (II-a ), r is 1, and R Z< is attached para to the point of attachment of -C(=O)-.

[0178] In some embodiments of Formula (II-a ), r is 2. In some embodiments of Formula (II-a ), r is 2 and each R Z< is independently a group as described herein, wherein one R Z< group is attached ortho and one R Z< group is attached meta to the point of attachment of -C(=O)-. In some embodiments of Formula (II-a ), r is 2 and each R Z< is independently a group as described herein, wherein one R Z< group is attached ortho and one R Z< group is attached para to the point of attachment of -C(=O)-. In some embodiments of Formula (II-a ), r is 2 and each R Z< is independently a group as described herein, wherein one R Z< group is attached para and one R Z< group is attached meta to the point of attachment of -C(=O)-.

[0179] In some embodiments of Formula (II-a ), r is 3 and each R Z< is independently a group as described herein. In certain embodiments of Formula (II-a ), is 1, 2, or 3 and at least one instance of R Z< is hydrogen. In certain embodiments of Formula (II-a ), r is 1 and R Z< is hydrogen. In certain embodiments of Formula (II-a ), r is 2 and both instances of R Z< are hydrogen. In certain embodiments of Formula (II-a ), r is 3; and all three instances of R Z< are hydrogen.

[0180] In certain embodiments of Formula (II-a ), r is 1, 2, or 3; and at least one instance of R Z< is halogen. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is F. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is Cl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is Br. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is I (iodine). In certain embodiments of Formula (II-a ), r is 1 and R Z< is halogen. In some embodiments of Formula (II-a ), r is 1 and R Z< is Cl (chlorine). In some embodiments of Formula (II-a ), r is 1 and R Z< is Br (bromine). In some embodiments of Formula (II-a ), r is 1 and R Z< is I (iodine).

[0181] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted alkyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted alkyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted C 1-6 alkyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted C 1-6 alkyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -CH 3 . In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is C 1-6 alkyl substituted with at least one halogen. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted methyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -CH 2 F. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -CHF 2 . In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -CF 3 . In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted ethyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted propyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted butyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted pentyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted hexyl.

[0182] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted heteroalkyl, wherein at least one atom in the alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted heteroalkyl, wherein at least one atom in the alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted C 1-6 heteroalkyl, wherein at least one atom in the C 1-6 alkyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0183] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted alkenyl, e.g., substituted or unsubstituted C 2-6 alkenyl, substituted or unsubstituted C 2-5 alkenyl, substituted or unsubstituted C 2-4 alkenyl, or substituted or unsubstituted C 2-3 alkenyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted alkenyl.

[0184] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted heteroalkenyl, e.g., substituted or unsubstituted C 2-6 heteroalkenyl, substituted or unsubstituted C 2-5 heteroalkenyl, substituted or unsubstituted C 2-4 heteroalkenyl, or substituted or unsubstituted C 2-3 heteroalkenyl, wherein at least one atom in the alkenyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted heteroalkenyl, wherein at least one atom in the alkenyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0185] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted alkynyl, e.g., substituted or unsubstituted C 2-6 alkynyl, substituted or unsubstituted C 2-5 alkynyl, substituted or unsubstituted C 2-4 alkynyl, or substituted or unsubstituted C 2-3 alkynyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted alkynyl.

[0186] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted heteroalkynyl, e.g., substituted or unsubstituted C 2-6 heteroalkynyl, substituted or unsubstituted C 2-5 heteroalkynyl, substituted or unsubstituted C 2-4 heteroalkynyl, or substituted or unsubstituted C 2-3 heteroalkynyl, wherein at least one atom in the alkynyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted heteroalkynyl, wherein at least one atom in the alkynyl chain is selected from the group consisting of nitrogen, oxygen, and sulfur.

[0187] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OR Z1< , wherein R Z1< is hydrogen (i.e., to provide -OH). In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OR Z1< , wherein R Z1< is a non-hydrogen group. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OR Z1< , wherein R Z1< is a substituted or unsubstituted alkyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OR Z1< , wherein R Z1< is a substituted or unsubstituted C 1-6 alkyl. For example, in certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OR Z1< , wherein R Z1< is -CH 3 (i.e., to provide -OCH 3 ).

[0188] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -SR Z1< , wherein R Z1< is hydrogen (i.e., to provide -SH), or a non-hydrogen group.

[0189] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -N(R Z1< ) 2 , wherein at least one R Z1< is hydrogen (e.g., to provide -NH 2 or NHR Z1< ), each R Z1< is a non-hydrogen group, or wherein two R B1< groups are joined to form a substituted or unsubstituted heterocyclic or heteroaryl ring.

[0190] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -CN.

[0191] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -NO 2 .

[0192] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -C(=NR Z1< )R Z1< , wherein R Z1< is hydrogen (i.e., to provide -C(=NH)H), or a non-hydrogen group.

[0193] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -C(=NR Z1< )OR Z1< , wherein R Z1< is hydrogen (i.e., to provide -C(=NH)OH), or a non-hydrogen group.

[0194] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -C(=NR Z1< )N(R Z1< ) 2 , wherein R Z1< is hydrogen (i.e., to provide -C(=NH)NH 2 ), or a non-hydrogen group.

[0195] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -C(=O)R Z1< , wherein R Z1< is hydrogen (i.e., to provide -C(=O)H), or a non-hydrogen group.

[0196] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -C(=O)OR Z1< , wherein R Z1< is hydrogen (i.e., to provide -C(=O)OH), or a non-hydrogen group.

[0197] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -C(=O)N(R Z1< ) 2 , wherein R Z1< is hydrogen (i.e., to provide -C(=O)NH 2 ), or a non-hydrogen group.

[0198] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -NR Z1< C(=O)R Z1< , wherein R Z1< is hydrogen (i.e., to provide -NHC(=O)H), or a non-hydrogen group.

[0199] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -NR Z1< C(=O)OR Z1< , wherein R Z1< is hydrogen (i.e., to provide -NHC(=O)OH), or a non-hydrogen group.

[0200] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -NR Z1< C(=O)N(R Z1< ) 2 , wherein R Z1< is hydrogen (i.e., to provide -NHC(=O)NH 2 ), or a non-hydrogen group.

[0201] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OC(=O)R Z1< , wherein R Z1< is hydrogen (i.e., to provide -OC(=O)H), or a non-hydrogen group.

[0202] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OC(=O)OR Z1< , wherein R Z1< is hydrogen (i.e., to provide -OC(=O)OH), or a non-hydrogen group.

[0203] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is -OC(=O)N(R Z1< ) 2 , wherein R Z1< is hydrogen (i.e., to provide -OC(=O)NH 2 ), or a non-hydrogen group.

[0204] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 at least one instance of R Z< is substituted or unsubstituted carbocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is saturated carbocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsaturated carbocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is monocyclic C 3-7 carbocyclyl.

[0205] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted heterocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is saturated heterocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsaturated heterocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is heterocyclyl, wherein one, two, or three atoms in the heterocyclic ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is 3- to 8-membered heterocyclyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is 5- to 6-membered heterocyclyl.

[0206] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted aryl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is C 6-10 aryl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 is at least one instance of R Z< is monocyclic aryl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted phenyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is unsubstituted phenyl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is bicyclic aryl.

[0207] In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is substituted or unsubstituted heteroaryl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is heteroaryl, wherein one, two, three, or four atoms in the heteroaryl ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is monocyclic heteroaryl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is 5- or 6-membered, monocyclic heteroaryl. In certain embodiments of Formula (II-a ), r is 1, 2, or 3 and at least one instance of R Z< is bicyclic heteroaryl, wherein the point of attachment may be on any atom of the bicyclic heteroaryl ring system, as valency permits.

[0208] Furthermore, as generally described herein, in any of the above described embodiments of group R Z< comprising a group R Z1< , each instance of R Z1< is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two R Z1< groups bonded to the same nitrogen atoms are joined to form a substituted or unsubstituted heterocyclic, or substituted or unsubstituted heteroaryl ring.

[0209] In any of the above described embodiments of R Z< comprising a group R Z1< , at least one instance of R Z1< is substituted or unsubstituted alkyl, e.g., substituted or unsubstituted C 1-6 alkyl, e.g., substituted or unsubstituted C 1 alkyl, substituted or unsubstituted C 2 alkyl, substituted or unsubstituted C 3 alkyl, substituted or unsubstituted C 4 alkyl, substituted or unsubstituted C 5 alkyl, or substituted or unsubstituted C 6 alkyl. In some embodiments, R Z1< is C 1 alkyl (e.g., methyl). In some embodiments, R Z1< is C 2 alkyl (e.g., ethyl). In some embodiments, R Z1< is C 3 alkyl (e.g., isopropyl, propyl).

[0210] In any of the above described embodiments of R Z< comprising a group R Z1< , at least one instance of R B1< is substituted or unsubstituted C 2-6 alkenyl, e.g., substituted or unsubstituted C 2 alkenyl, substituted or unsubstituted C 3 alkenyl, substituted or unsubstituted C 4 alkenyl, substituted or unsubstituted C 5 alkenyl, or substituted or unsubstituted C 6 alkenyl.

[0211] In any of the above described embodiments of R Z< comprising a group R Z1< , at least one instance of R Z1< is substituted or unsubstituted C 2-6 alkynyl, e.g., substituted or unsubstituted C 2 alkynyl, substituted or unsubstituted C 3 alkynyl, substituted or unsubstituted C 4 alkynyl, substituted or unsubstituted C 5 alkynyl, or substituted or unsubstituted C 6 alkynyl.

[0212] In certain embodiments of Formula (II-a ), e.g., wherein R Z< is-N(R Z1< ) 2 , - C(=NR Z1< )N(R Z1< ) 2 ,-C(=O)N(R Z1< ) 2 , -NR Z1< C(=O)N(R Z1< ) 2 , or -OC(=O)N(R Z1< ) 2 , two instances of R Z1< , e.g., attached to the same nitrogen (N) atom, are joined to form a substituted or unsubstituted heterocyclic ring. In certain embodiments of Formula (II-a ), two instances of R Z1< are joined to form a saturated heterocyclic ring. In certain embodiments of Formula (II-a), two instances of R Z1< are joined to form an unsaturated heterocyclic ring. In certain embodiments of Formula (II-a ), two instances of R Z1< are joined to form a heterocyclic ring, wherein one, two, or three atoms in the heterocyclic ring system are independently selected from the group consisting of nitrogen, oxygen, and sulfur. In certain embodiments of Formula (II-a ), two instances of R Z1< are joined to form a 3- to 7-membered, monocyclic heterocyclic ring.

[0213] In certain embodiments of Formula (II-a ), e.g., wherein R Z< is-N(R Z1< ) 2 , - C(=NR Z1< )N(R Z1< ) 2 ,-C(=O)N(R Z1< ) 2 , -NR Z1< C(=O)N(R Z1< ) 2 , or -OC(=O)N(R Z1< ) 2 , two instances of R Z1< , e.g., attached to the same nitrogen (N) atom, are joined to form a substituted or unsubstituted heteroaryl ring. In certain embodiments of Formula (II-a ), two instances of R Z1< are joined to form a substituted or unsubstituted, 5- to 6-membered, monocyclic heteroaryl ring, wherein one, two, three, or four atoms in the heteroaryl ring system are independently nitrogen, oxygen, or sulfur. In certain embodiments of Formula (II-a ), two instances of R Z1< are joined to form a substituted or unsubstituted, 9- to 10-membered, monocyclic heteroaryl ring, wherein one, two, three, or four atoms in the heteroaryl ring system are independently nitrogen, oxygen, or sulfur.

[0214] In some embodiments, the compound of Formaul (II-a ) or Formula (III-ai ) is a compound of the formula: or or a pharmaceutically acceptable salt, hydrate, solvate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof.Aryl Hydrocarbon Receptor Modulators

[0215] In certain embodiments, a compound provided herein modulates an aryl hydrocarbon receptor. In some embodiments, the compound is an aryl hydrocarbon receptor agonist. In some embodiments, the compound is a partial aryl hydrocarbon agonist. The compounds provided herein may bind to and increase the activity of the aryl hydrocarbon receptor. Without wishing to be bound by any particular theory, activation of the acyl hydrocarbon receptor (e.g., by binding to an agonist) results in changes in gene expression, leading to modulation of expression of proteins (e.g., cytokines) to influence inflammatory, metabolic, and other biological responses. Modulation of biological responses by aryl hydrocarbon receptors is discussed in, e.g., Bieschlag TV et al. (2008) The aryl hydrocarbon receptor complex and the control of gene expression. Crit Rev Eukaryot Gene Expr 18, 207-250; Nebert DW et al. (2000) Role of the aromatic hydrocarbon receptor and [Ah] gene battery in the oxidative stress response, cell cycle control, and apoptosis. Biochemical Pharmacology 59, 65-85; Quintana FJ et al. (2008) Control of Treg and TH17 cell differentiation by the aryl hydrocarbon receptor. Nature 453, 65-71; and Puga A et al. (2009) The aryl hydrocarbon receptor cross-talks with multiple signal transduction pathways. Biochemical Pharmacology 77, 713-722.

[0216] An aryl hydrocarbon receptor (AhR, AHR, ahr, or ahR) is a ligand-activated transcription factor involved in the regulation of biological responses induced by planar aromatic (i.e., aryl) hydrocarbons. AhR is a cytosolic transcription factor that is normally inactive, bound to several co-chaperones. Without wishing to be bound by any particular theory, upon ligand binding, the chaperones dissociate resulting in AhR translocating into the nucleus and dimerizing with ARNT (AhR nuclear translocator), leading to changes in gene transcription. In some embodiments, the gene is CYP1A1. Cypala protein expression may be induced in an AHR-dependent manner in the presence of compounds of the present invention described herein (Figure 2). In some embodiments, the gene is CYP1A1, CYP1A2, CYP1B1, ALDH3Al, NQOl, or UGT1A1. In some embodiments, the gene is Muc1, Muc3, or Bcl21 (Figures 5C-5F). In some embodiments, the transcription of these genes is increased in the presence of AHR agonists (i.e., compounds of the present invention ).

[0217] To identify starting points for developing compounds that modulate the aryl hydrocarbon receptor, the inventors synthesized a focused library of 3-aryl- and 3-heteroaryl-indoles and analyzed their ability to activate AHR in a XRE luciferase assay (Figure 1A). From the activity screen, methyl 6-(1H-indole-3-carbonyl)pyridine-2-carboxylate (compound #10) was identified as a novel synthetic AHR agonist with identical potency (EC 50 : 3.2 nM) as 2-(1H-indol-3-ylcarbonyl)-4-thiazolecarboxylic acid methyl ester (ITE), an endogenous agonist of the AHR (Figure 1B). Synthetic derivatization of the 3-aryl- and 3-heteroaryl-indoles (e.g., compounds of the present invention) is shown in the Examples section.

[0218] Non-limiting examples of compounds of the present invention, and pharmaceutically acceptable salts, hydrates, solvates, stereoisomers, tautomers, isotopically labeled derivatives, and polymorphs thereof are provided below in Table 1. Pharmaceutical Compositions

[0219] In certain embodiments, the present invention provides a pharmaceutical composition comprising a compound described herein, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof and, optionally, a pharmaceutically acceptable excipient. In certain embodiments, the compound is present in an effective amount, e.g., a therapeutically effective amount or a prophylactically effective amount. In some embodiments, the compound is administered orally to a subject in need thereof. In some embodiments, the compound is administered topically to a subject in need thereof. In some embodiments, the compound is administered via inhalation (e.g., pulmonary) to a subject in need thereof. In some embodiments, the compound is formulated for nasal or ophthalmologic administration to subject in need thereof.

[0220] Pharmaceutically acceptable excipients include any and all solvents, diluents, or other liquid vehicles, dispersion or suspension aids, surface active agents, isotonic agents, thickening or emulsifying agents, preservatives, solid binders, lubricants and the like, as suited to the particular dosage form desired. General considerations in the formulation and / or manufacture of pharmaceutical compositions agents can be found, for example, in Remington's Pharmaceutical Sciences, Sixteenth Edition, E. W. Martin (Mack Publishing Co., Easton, Pa., 1980), and Remington: The Science and Practice of Pharmacy, 21st Edition (Lippincott Williams & Wilkins, 2005).

[0221] Pharmaceutical compositions described herein can be prepared by any method known in the art of pharmacology. In general, such preparatory methods include the steps of bringing the compound described herein, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, (the "active ingredient") into association with the excipient and / or one or more other accessory ingredients, and then, if necessary and / or desirable, shaping and / or packaging the product into a desired single- or multi-dose unit.

[0222] Pharmaceutical compositions can be prepared, packaged, and / or sold in bulk, as a single unit dose, and / or as a plurality of single unit doses. As used herein, a "unit dose" is discrete amount of the pharmaceutical composition comprising a predetermined amount of the active ingredient. The amount of the active ingredient is generally equal to the dosage of the active ingredient which would be administered to a subject and / or a convenient fraction of such a dosage such as, for example, one-half or one-third of such a dosage.

[0223] Relative amounts of the active ingredient, the pharmaceutically acceptable carrier, and / or any additional ingredients in a pharmaceutical composition of the invention will vary, depending upon the identity, size, and / or condition of the subject treated and further depending upon the route by which the composition is to be administered. By way of example, the composition may comprise between 0.1% and 100% (w / w) active ingredient.

[0224] Pharmaceutically acceptable excipients used in the manufacture of provided pharmaceutical compositions include inert diluents, dispersing and / or granulating agents, surface active agents and / or emulsifiers, disintegrating agents, binding agents, preservatives, buffering agents, lubricating agents, and / or oils. Excipients such as cocoa butter and suppository waxes, coloring agents, coating agents, sweetening, flavoring, and perfuming agents may also be present in the composition.

[0225] Exemplary diluents include calcium carbonate, sodium carbonate, calcium phosphate, dicalcium phosphate, calcium sulfate, calcium hydrogen phosphate, sodium phosphate lactose, sucrose, cellulose, microcrystalline cellulose, kaolin, mannitol, sorbitol, inositol, sodium chloride, dry starch, cornstarch, powdered sugar, etc., and combinations thereof.

[0226] Exemplary granulating and / or dispersing agents include potato starch, corn starch, tapioca starch, sodium starch glycolate, clays, alginic acid, guar gum, citrus pulp, agar, bentonite, cellulose and wood products, natural sponge, cation-exchange resins, calcium carbonate, silicates, sodium carbonate, cross-linked poly(vinyl-pyrrolidone) (crospovidone), sodium carboxymethyl starch (sodium starch glycolate), carboxymethyl cellulose, cross-linked sodium carboxymethyl cellulose (croscarmellose), methylcellulose, pregelatinized starch (starch 1500), microcrystalline starch, water insoluble starch, calcium carboxymethyl cellulose, magnesium aluminum silicate (Veegum), sodium lauryl sulfate, quaternary ammonium compounds, etc., and combinations thereof.

[0227] Exemplary surface active agents and / or emulsifiers include natural emulsifiers (e.g. acacia, agar, alginic acid, sodium alginate, tragacanth, chondrux, cholesterol, xanthan, pectin, gelatin, egg yolk, casein, wool fat, cholesterol, wax, and lecithin), colloidal clays (e.g. bentonite [aluminum silicate] and Veegum [magnesium aluminum silicate]), long chain amino acid derivatives, high molecular weight alcohols (e.g. stearyl alcohol, cetyl alcohol, oleyl alcohol, triacetin monostearate, ethylene glycol distearate, glyceryl monostearate, and propylene glycol monostearate, polyvinyl alcohol), carbomers (e.g. carboxy polymethylene, polyacrylic acid, acrylic acid polymer, and carboxyvinyl polymer), carrageenan, cellulosic derivatives (e.g. carboxymethylcellulose sodium, powdered cellulose, hydroxymethyl cellulose, hydroxypropyl cellulose, hydroxypropyl methylcellulose, methylcellulose), sorbitan fatty acid esters (e.g. polyoxyethylene sorbitan monolaurate [Tween 20], polyoxyethylene sorbitan [Tween 60], polyoxyethylene sorbitan monooleate [Tween 80], sorbitan monopalmitate [Span 40], sorbitan monostearate [Span 60], sorbitan tristearate [Span 65], glyceryl monooleate, sorbitan monooleate [Span 80]), polyoxyethylene esters (e.g. polyoxyethylene monostearate [Myrj 45], polyoxyethylene hydrogenated castor oil, polyethoxylated castor oil, polyoxymethylene stearate, and Solutol), sucrose fatty acid esters, polyethylene glycol fatty acid esters (e.g., Cremophor), polyoxyethylene ethers, (e.g. polyoxyethylene lauryl ether [Brij 30]), poly(vinyl-pyrrolidone), diethylene glycol monolaurate, triethanolamine oleate, sodium oleate, potassium oleate, ethyl oleate, oleic acid, ethyl laurate, sodium lauryl sulfate, Pluronic F 68, Poloxamer 188, cetrimonium bromide, cetylpyridinium chloride, benzalkonium chloride, docusate sodium, etc. and / or combinations thereof.

[0228] Exemplary binding agents include starch (e.g. cornstarch and starch paste), gelatin, sugars (e.g. sucrose, glucose, dextrose, dextrin, molasses, lactose, lactitol, mannitol, etc.), natural and synthetic gums (e.g. acacia, sodium alginate, extract of Irish moss, panwar gum, ghatti gum, mucilage of isapol husks, carboxymethylcellulose, methylcellulose, ethylcellulose, hydroxyethylcellulose, hydroxypropyl cellulose, hydroxypropyl methylcellulose, microcrystalline cellulose, cellulose acetate, poly(vinyl-pyrrolidone), magnesium aluminum silicate (Veegum), and larch arabogalactan), alginates, polyethylene oxide, polyethylene glycol, inorganic calcium salts, silicic acid, polymethacrylates, waxes, water, alcohol, etc., and / or combinations thereof.

[0229] Exemplary preservatives include antioxidants, chelating agents, antimicrobial preservatives, antifungal preservatives, alcohol preservatives, acidic preservatives, and other preservatives.

[0230] Exemplary antioxidants include alpha tocopherol, ascorbic acid, acorbyl palmitate, butylated hydroxyanisole, butylated hydroxytoluene, monothioglycerol, potassium metabisulfite, propionic acid, propyl gallate, sodium ascorbate, sodium bisulfite, sodium metabisulfite, and sodium sulfite.

[0231] Exemplary chelating agents include ethylenediaminetetraacetic acid (EDTA) and salts and hydrates thereof (e.g., sodium edetate, disodium edetate, trisodium edetate, calcium disodium edetate, dipotassium edetate, and the like), citric acid and salts and hydrates thereof (e.g., citric acid monohydrate), fumaric acid and salts and hydrates thereof, malic acid and salts and hydrates thereof, phosphoric acid and salts and hydrates thereof, and tartaric acid and salts and hydrates thereof. Exemplary antimicrobial preservatives include benzalkonium chloride, benzethonium chloride, benzyl alcohol, bronopol, cetrimide, cetylpyridinium chloride, chlorhexidine, chlorobutanol, chlorocresol, chloroxylenol, cresol, ethyl alcohol, glycerin, hexetidine, imidurea, phenol, phenoxyethanol, phenylethyl alcohol, phenylmercuric nitrate, propylene glycol, and thimerosal.

[0232] Exemplary antifungal preservatives include butyl paraben, methyl paraben, ethyl paraben, propyl paraben, benzoic acid, hydroxybenzoic acid, potassium benzoate, potassium sorbate, sodium benzoate, sodium propionate, and sorbic acid.

[0233] Exemplary alcohol preservatives include ethanol, polyethylene glycol, phenol, phenolic compounds, bisphenol, chlorobutanol, hydroxybenzoate, and phenylethyl alcohol.

[0234] Exemplary acidic preservatives include vitamin A, vitamin C, vitamin E, beta-carotene, citric acid, acetic acid, dehydroacetic acid, ascorbic acid, sorbic acid, and phytic acid.

[0235] Other preservatives include tocopherol, tocopherol acetate, deteroxime mesylate, cetrimide, butylated hydroxyanisol (BHA), butylated hydroxytoluened (BHT), ethylenediamine, sodium lauryl sulfate (SLS), sodium lauryl ether sulfate (SLES), sodium bisulfite, sodium metabisulfite, potassium sulfite, potassium metabisulfite, Glydant Plus, Phenonip, methylparaben, Germall 115, Germaben II, Neolone, Kathon, and Euxyl. In certain embodiments, the preservative is an anti-oxidant. In other embodiments, the preservative is a chelating agent.

[0236] Exemplary buffering agents include citrate buffer solutions, acetate buffer solutions, phosphate buffer solutions, ammonium chloride, calcium carbonate, calcium chloride, calcium citrate, calcium glubionate, calcium gluceptate, calcium gluconate, D-gluconic acid, calcium glycerophosphate, calcium lactate, propanoic acid, calcium levulinate, pentanoic acid, dibasic calcium phosphate, phosphoric acid, tribasic calcium phosphate, calcium hydroxide phosphate, potassium acetate, potassium chloride, potassium gluconate, potassium mixtures, dibasic potassium phosphate, monobasic potassium phosphate, potassium phosphate mixtures, sodium acetate, sodium bicarbonate, sodium chloride, sodium citrate, sodium lactate, dibasic sodium phosphate, monobasic sodium phosphate, sodium phosphate mixtures, tromethamine, magnesium hydroxide, aluminum hydroxide, alginic acid, pyrogen-free water, isotonic saline, Ringer's solution, ethyl alcohol, etc., and combinations thereof.

[0237] Exemplary lubricating agents include magnesium stearate, calcium stearate, stearic acid, silica, talc, malt, glyceryl behanate, hydrogenated vegetable oils, polyethylene glycol, sodium benzoate, sodium acetate, sodium chloride, leucine, magnesium lauryl sulfate, sodium lauryl sulfate, etc., and combinations thereof.

[0238] Exemplary natural oils include almond, apricot kernel, avocado, babassu, bergamot, black current seed, borage, cade, camomile, canola, caraway, carnauba, castor, cinnamon, cocoa butter, coconut, cod liver, coffee, corn, cotton seed, emu, eucalyptus, evening primrose, fish, flaxseed, geraniol, gourd, grape seed, hazel nut, hyssop, isopropyl myristate, jojoba, kukui nut, lavandin, lavender, lemon, litsea cubeba, macademia nut, mallow, mango seed, meadowfoam seed, mink, nutmeg, olive, orange, orange roughy, palm, palm kernel, peach kernel, peanut, poppy seed, pumpkin seed, rapeseed, rice bran, rosemary, safflower, sandalwood, sasquana, savoury, sea buckthorn, sesame, shea butter, silicone, soybean, sunflower, tea tree, thistle, tsubaki, vetiver, walnut, and wheat germ oils. Exemplary synthetic oils include, but are not limited to, butyl stearate, caprylic triglyceride, capric triglyceride, cyclomethicone, diethyl sebacate, dimethicone 360, isopropyl myristate, mineral oil, octyldodecanol, oleyl alcohol, silicone oil, and combinations thereof.

[0239] Liquid dosage forms for oral and parenteral administration include pharmaceutically acceptable emulsions, microemulsions, solutions, suspensions, syrups and elixirs. In addition to the active ingredients, the liquid dosage forms may comprise inert diluents commonly used in the art such as, for example, water or other solvents, solubilizing agents and emulsifiers such as ethyl alcohol, isopropyl alcohol, ethyl carbonate, ethyl acetate, benzyl alcohol, benzyl benzoate, propylene glycol, 1,3-butylene glycol, dimethylformamide, oils (e.g., cottonseed, groundnut, corn, germ, olive, castor, and sesame oils), glycerol, tetrahydrofurfuryl alcohol, polyethylene glycols and fatty acid esters of sorbitan, and mixtures thereof. Besides inert diluents, the oral compositions can include adjuvants such as wetting agents, emulsifying and suspending agents, sweetening, flavoring, and perfuming agents. In certain embodiments for parenteral administration, the conjugates of the invention are mixed with solubilizing agents such as Cremophor, alcohols, oils, modified oils, glycols, polysorbates, cyclodextrins, polymers, and combinations thereof.

[0240] Injectable preparations, for example, sterile injectable aqueous or oleaginous suspensions can be formulated according to the known art using suitable dispersing or wetting agents and suspending agents. The sterile injectable preparation can be a sterile injectable solution, suspension or emulsion in a nontoxic parenterally acceptable diluent or solvent, for example, as a solution in 1,3-butanediol. Among the acceptable vehicles and solvents that can be employed are water, Ringer's solution, U.S.P. and isotonic sodium chloride solution. In addition, sterile, fixed oils are conventionally employed as a solvent or suspending medium. For this purpose any bland fixed oil can be employed including synthetic mono- or diglycerides. In addition, fatty acids such as oleic acid are used in the preparation of injectables.

[0241] The injectable formulations can be sterilized, for example, by filtration through a bacterial-retaining filter, or by incorporating sterilizing agents in the form of sterile solid compositions which can be dissolved or dispersed in sterile water or other sterile injectable medium prior to use.

[0242] Dosage forms for topical and / or transdermal administration of a compound described herein may include ointments, pastes, creams, lotions, gels, powders, solutions, sprays, inhalants, and / or patches. Generally, the active ingredient is admixed under sterile conditions with a pharmaceutically acceptable carrier or excipient and / or any needed preservatives and / or buffers as can be required. Additionally, the present disclosure contemplates the use of transdermal patches, which often have the added advantage of providing controlled delivery of an active ingredient to the body. Such dosage forms can be prepared, for example, by dissolving and / or dispensing the active ingredient in the proper medium. Alternatively or additionally, the rate can be controlled by either providing a rate controlling membrane and / or by dispersing the active ingredient in a polymer matrix and / or gel.

[0243] Suitable devices for use in delivering intradermal pharmaceutical compositions described herein include short needle devices. Intradermal compositions can be administered by devices which limit the effective penetration length of a needle into the skin. Alternatively or additionally, conventional syringes can be used in the classical mantoux method of intradermal administration. Jet injection devices which deliver liquid formulations to the dermis via a liquid jet injector and / or via a needle which pierces the stratum corneum and produces a jet which reaches the dermis are suitable. Ballistic powder / particle delivery devices which use compressed gas to accelerate the compound in powder form through the outer layers of the skin to the dermis are suitable.

[0244] Formulations suitable for topical administration include, but are not limited to, liquid and / or semi-liquid preparations such as liniments, lotions, oil-in-water and / or water-in-oil emulsions such as creams, ointments, and / or pastes, and / or solutions and / or suspensions. Topically administrable formulations may, for example, comprise from about 1% to about 10% (w / w) active ingredient, although the concentration of the active ingredient can be as high as the solubility limit of the active ingredient in the solvent. Formulations for topical administration may further comprise one or more of the additional ingredients described herein.

[0245] A pharmaceutical composition described herein can be prepared, packaged, and / or sold in a formulation suitable for pulmonary administration via the buccal cavity. Such a formulation may comprise dry particles which comprise the active ingredient and which have a diameter in the range from about 0.5 to about 7 nanometers, or from about 1 to about 6 nanometers. Such compositions are conveniently in the form of dry powders for administration using a device comprising a dry powder reservoir to which a stream of propellant can be directed to disperse the powder and / or using a self-propelling solvent / powder dispensing container such as a device comprising the active ingredient dissolved and / or suspended in a low-boiling propellant in a sealed container. Such powders comprise particles wherein at least 98% of the particles by weight have a diameter greater than 0.5 nanometers and at least 95% of the particles by number have a diameter less than 7 nanometers. Alternatively, at least 95% of the particles by weight have a diameter greater than 1 nanometer and at least 90% of the particles by number have a diameter less than 6 nanometers. Dry powder compositions may include a solid fine powder diluent such as sugar and are conveniently provided in a unit dose form.

[0246] Low boiling propellants generally include liquid propellants having a boiling point of below 65 °F at atmospheric pressure. Generally the propellant may constitute 50 to 99.9% (w / w) of the composition, and the active ingredient may constitute 0.1 to 20% (w / w) of the composition. The propellant may further comprise additional ingredients such as a liquid non-ionic and / or solid anionic surfactant and / or a solid diluent (which may have a particle size of the same order as particles comprising the active ingredient).

[0247] Pharmaceutical compositions described herein formulated for pulmonary delivery may provide the active ingredient in the form of droplets of a solution and / or suspension. Such formulations can be prepared, packaged, and / or sold as aqueous and / or dilute alcoholic solutions and / or suspensions, optionally sterile, comprising the active ingredient, and may conveniently be administered using any nebulization and / or atomization device. Such formulations may further comprise one or more additional ingredients including, but not limited to, a flavoring agent such as saccharin sodium, a volatile oil, a buffering agent, a surface active agent, and / or a preservative such as methylhydroxybenzoate. The droplets provided by this route of administration may have an average diameter in the range from about 0.1 to about 200 nanometers.

[0248] Formulations described herein as being useful for pulmonary delivery are useful for intranasal delivery of a pharmaceutical composition described herein. Another formulation suitable for intranasal administration is a coarse powder comprising the active ingredient and having an average particle from about 0.2 to 500 micrometers. Such a formulation is administered by rapid inhalation through the nasal passage from a container of the powder held close to the nares.

[0249] Formulations for nasal administration may, for example, comprise from about as little as 0.1% (w / w) to as much as 100% (w / w) of the active ingredient, and may comprise one or more of the additional ingredients described herein. A pharmaceutical composition described herein can be prepared, packaged, and / or sold in a formulation for buccal administration. Such formulations may, for example, be in the form of tablets and / or lozenges made using conventional methods, and may contain, for example, 0.1 to 20% (w / w) active ingredient, the balance comprising an orally dissolvable and / or degradable composition and, optionally, one or more of the additional ingredients described herein. Alternately, formulations for buccal administration may comprise a powder and / or an aerosolized and / or atomized solution and / or suspension comprising the active ingredient. Such powdered, aerosolized, and / or aerosolized formulations, when dispersed, may have an average particle and / or droplet size in the range from about 0.1 to about 200 nanometers, and may further comprise one or more of the additional ingredients described herein.

[0250] A pharmaceutical composition described herein can be prepared, packaged, and / or sold in a formulation for ophthalmic administration. Such formulations may, for example, be in the form of eye drops including, for example, a 0.1-1.0% (w / w) solution and / or suspension of the active ingredient in an aqueous or oily liquid carrier or excipient. Such drops may further comprise buffering agents, salts, and / or one or more other of the additional ingredients described herein. Other opthalmically-administrable formulations which are useful include those which comprise the active ingredient in microcrystalline form and / or in a liposomal preparation. Ear drops and / or eye drops are also contemplated as being within the scope of this disclosure.

[0251] In order to prolong the effect of a drug, it is often desirable to slow the absorption of the drug from subcutaneous or intramuscular injection. This can be accomplished by the use of a liquid suspension of crystalline or amorphous material with poor water solubility. The rate of absorption of the drug then depends upon its rate of dissolution which, in turn, may depend upon crystal size and crystalline form. Alternatively, delayed absorption of a parenterally administered drug form is accomplished by dissolving or suspending the drug in an oil vehicle.

[0252] Compositions for rectal or vaginal administration are typically suppositories which can be prepared by mixing the conjugates of this invention with suitable non-irritating excipients or carriers such as cocoa butter, polyethylene glycol or a suppository wax which are solid at ambient temperature but liquid at body temperature and therefore melt in the rectum or vaginal cavity and release the active ingredient.

[0253] Solid dosage forms for oral administration include capsules, tablets, pills, powders, and granules. In such solid dosage forms, the active ingredient is mixed with at least one inert, pharmaceutically acceptable excipient or carrier such as sodium citrate or dicalcium phosphate and / or a) fillers or extenders such as starches, lactose, sucrose, glucose, mannitol, and silicic acid, b) binders such as, for example, carboxymethylcellulose, alginates, gelatin, polyvinylpyrrolidinone, sucrose, and acacia, c) humectants such as glycerol, d) disintegrating agents such as agar, calcium carbonate, potato or tapioca starch, alginic acid, certain silicates, and sodium carbonate, e) solution retarding agents such as paraffin, f) absorption accelerators such as quaternary ammonium compounds, g) wetting agents such as, for example, cetyl alcohol and glycerol monostearate, h) absorbents such as kaolin and bentonite clay, and i) lubricants such as talc, calcium stearate, magnesium stearate, solid polyethylene glycols, sodium lauryl sulfate, and mixtures thereof. In the case of capsules, tablets and pills, the dosage form may comprise buffering agents.

[0254] Solid compositions of a similar type can be employed as fillers in soft and hard-filled gelatin capsules using such excipients as lactose or milk sugar as well as high molecular weight polyethylene glycols and the like. The solid dosage forms of tablets, dragees, capsules, pills, and granules can be prepared with coatings and shells such as enteric coatings and other coatings well known in the pharmaceutical formulating art. They may optionally comprise opacifying agents and can be of a composition that they release the active ingredient(s) only, or preferentially, in a certain part of the intestinal tract, optionally, in a delayed manner. Examples of embedding compositions which can be used include polymeric substances and waxes. Solid compositions of a similar type can be employed as fillers in soft and hard-filled gelatin capsules using such excipients as lactose or milk sugar as well as high molecular weight polethylene glycols and the like.

[0255] The active ingredients can be in micro-encapsulated form with one or more excipients as noted above. The solid dosage forms of tablets, dragees, capsules, pills, and granules can be prepared with coatings and shells such as enteric coatings, release controlling coatings and other coatings well known in the pharmaceutical formulating art. In such solid dosage forms the active ingredient can be admixed with at least one inert diluent such as sucrose, lactose or starch. Such dosage forms may comprise, as is normal practice, additional substances other than inert diluents, e.g., tableting lubricants and other tableting aids such a magnesium stearate and microcrystalline cellulose. In the case of capsules, tablets and pills, the dosage forms may comprise buffering agents. They may optionally comprise opacifying agents and can be of a composition that they release the active ingredient(s) only, or preferentially, in a certain part of the intestinal tract, optionally, in a delayed manner. Examples of embedding compositions which can be used include polymeric substances and waxes.

[0256] Although the descriptions of pharmaceutical compositions provided herein are principally directed to pharmaceutical compositions which are suitable for administration to humans, it will be understood by the skilled artisan that such compositions are generally suitable for administration to animals of all sorts. Modification of pharmaceutical compositions suitable for administration to humans in order to render the compositions suitable for administration to various animals is well understood, and the ordinarily skilled veterinary pharmacologist can design and / or perform such modification with ordinary experimentation. General considerations in the formulation and / or manufacture of pharmaceutical compositions can be found, for example, in Remington: The Science and Practice of Pharmacy 21st ed., Lippincott Williams & Wilkins, 2005.

[0257] The exact amount of a compound required to achieve an effective amount will vary from subject to subject, depending, for example, on species, age, and general condition of a subject, severity of the side effects or disorder, identity of the particular compound(s), mode of administration, and the like. The desired dosage can be delivered three times a day, two times a day, once a day, every other day, every third day, every week, every two weeks, every three weeks, or every four weeks. In certain embodiments, the desired dosage can be delivered using multiple administrations (e.g., two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, or more administrations).

[0258] In certain embodiments, an effective amount of a compound for administration one or more times a day to a 70 kg adult human may comprise about 0.0001 mg to about 3000 mg, about 0.0001 mg to about 2000 mg, about 0.0001 mg to about 1000 mg, about 0.001 mg to about 1000 mg, about 0.01 mg to about 1000 mg, about 0.1 mg to about 1000 mg, about 1 mg to about 1000 mg, about 1 mg to about 100 mg, about 10 mg to about 1000 mg, or about 100 mg to about 1000 mg, of a compound per unit dosage form.

[0259] In certain embodiments, the compounds of the invention may be administered orally or parenterally at dosage levels sufficient to deliver from about 0.001 mg / kg to about 100 mg / kg, from about 0.01 mg / kg to about 50 mg / kg, preferably from about 0.1 mg / kg to about 40 mg / kg, preferably from about 0.5 mg / kg to about 30 mg / kg, from about 0.01 mg / kg to about 10 mg / kg, from about 0.1 mg / kg to about 10 mg / kg, and more preferably from about 1 mg / kg to about 25 mg / kg, of subject body weight per day, one or more times a day, to obtain the desired therapeutic effect.

[0260] It will be appreciated that dose ranges as described herein provide guidance for the administration of provided pharmaceutical compositions to an adult. The amount to be administered to, for example, a child or an adolescent can be determined by a medical practitioner or person skilled in the art and can be lower or the same as that administered to an adult.

[0261] It will be also appreciated that a compound or composition, as described herein, can be administered in combination with one or more additional therapeutically active agents. The compounds or compositions can be administered in combination with additional therapeutically active agents that improve their bioavailability, reduce and / or modify their metabolism, inhibit their excretion, and / or modify their distribution within the body. It will also be appreciated that the therapy employed may achieve a desired effect for the same disorder, and / or it may achieve different effects.

[0262] The compound or composition can be administered concurrently with, prior to, or subsequent to, one or more additional therapeutically active agents. In general, each agent will be administered at a dose and / or on a time schedule determined for that agent. In will further be appreciated that the additional therapeutically active agent utilized in this combination can be administered together in a single composition or administered separately in different compositions. The particular combination to employ in a regimen will take into account compatibility of the inventive compound with the additional therapeutically active agent and / or the desired therapeutic effect to be achieved. In general, it is expected that additional therapeutically active agents utilized in combination be utilized at levels that do not exceed the levels at which they are utilized individually. In some embodiments, the levels utilized in combination will be lower than those utilized individually.

[0263] Exemplary additional therapeutically active agents include, but are not limited to, antibiotics, anti-viral agents, anesthetics, anti-coagulants, inhibitors of an enzyme, steroidal agents, steroidal or non-steroidal anti-inflammatory agents, antihistamine, immunosuppressant agents, antigens, vaccines, antibodies, decongestant, sedatives, opioids, pain-relieving agents, analgesics, anti-pyretics, hormones, and prostaglandins, etc. Therapeutically active agents include small organic molecules such as drug compounds (e.g., compounds approved by the US Food and Drug Administration as provided in the Code of Federal Regulations (CFR)), peptides, proteins, carbohydrates, monosaccharides, oligosaccharides, polysaccharides, nucleoproteins, mucoproteins, lipoproteins, synthetic polypeptides or proteins, small molecules linked to proteins, glycoproteins, steroids, nucleic acids, DNAs, RNAs, nucleotides, nucleosides, oligonucleotides, antisense oligonucleotides, lipids, hormones, vitamins and cells.

[0264] Still further encompassed by the invention are pharmaceutical packs and / or kits. Pharmaceutical packs and / or kits provided may comprise a provided composition and a container (e.g., a vial, ampoule, bottle, syringe, and / or dispenser package, or other suitable container). In some embodiments, provided kits may optionally further include a second container comprising a suitable aqueous carrier for dilution or suspension of the provided composition for preparation of administration to a subject. In some embodiments, contents of provided formulation container and solvent container combine to form at least one unit dosage form.

[0265] Optionally, a single container may comprise one or more compartments for containing a provided composition, and / or appropriate aqueous carrier for suspension or dilution. In some embodiments, a single container can be appropriate for modification such that the container may receive a physical modification so as to allow combination of compartments and / or components of individual compartments. For example, a foil or plastic bag may comprise two or more compartments separated by a perforated seal which can be broken so as to allow combination of contents of two individual compartments once the signal to break the seal is generated. A pharmaceutical pack or kit may thus comprise such multi-compartment containers including a provided composition and appropriate solvent and / or appropriate aqueous carrier for suspension.

[0266] Optionally, instructions for use are additionally provided in such kits of the invention. Such instructions may provide, generally, for example, instructions for dosage and administration. In other embodiments, instructions may further provide additional detail relating to specialized instructions for particular containers and / or systems for administration. Still further, instructions may provide specialized instructions for use in conjunction and / or in combination with additional therapy.Methods

[0267] References to methods of treatment in this description are to be interpreted as references to the compounds, pharmaceutical compositions, and medicaments for use in those methods.

[0268] The present invention also provides methods of using the compounds described herein to modulate the function of an aryl hydrocarbon receptor.

[0269] For example, also described herein is a method of modulating an aryl hydrocarbon receptor, the method comprising contacting a cell with a compound of Formula (I), or pharmaceutical composition thereof. In some embodiments, the activity of the aryl hydrocarbon receptor increases in the presence of the compound.

[0270] Also described herein a method of increasing expression of a gene in a cell. The expression of genes that are operably linked to aryl hydrocarbon response elements (e.g., XRE) can be induced once the aryl hydrocarbon receptor is activated (e.g., by a compound of Formula (I )). In some embodiments, the method comprising contacting the cell with a compound of a compound of Formula (I), or pharmaceutical composition thereof. In some embodiments, the expression of the gene is activated in the present of an activated aryl hydrocarbon receptor. In some embodiments, the gene is CYP1A1, CYPIA2, CYP1B1, ALDH3A1, NQOl, or UGT1A1. In some embodiments, the gene is CYP1A1. In some embodiments, the gene is Muc1, Muc3, or Bcl21.

[0271] Also described herein is a method of regulating the expression of an cytokine in a cell, the method comprising contacting the cell with a compound of Formula (I), or pharmaceutical composition thereof. In some embodiments, the expression of the cytokine is increased. In some embodiments, the expression of the cytokine is decreased. In some embodiments, the cell is in vitro. In some embodiments, the cell is in vivo. In some embodiments, the cytokine is a chemokine, interferon, interleukin, lymphokine, or tumor necrosis factor. In some embodiments, the cytokine is an interleukin.

[0272] Also described herein is a method of regulating the expression of an interleukin in a cell, the method comprising contacting the cell with a compound described herein, or pharmaceutical composition thereof. In some embodiments, the expression of the interleukin is increased. In some embodiments, the expression of the interleukin is decreased. In some embodiments, the cell is in vitro. In some embodiments, the cell is in vivo. In some embodiments, the interleukin is interleukin 22 (IL-22), interleukin 6 (IL-6), interleukin 10 (IL-10), or interleukin 17 (IL-17). In some embodiments, the interleukin is interleukin 22 (IL-22). In some embodiments, the interleukin is interleukin 6 (IL-6). In some embodiments, the interleukin is interleukin 10 (IL-10). In some embodiments, the interleukin is interleukin 17 (IL-17). In some embodiments, the expression of interleukin 22 (IL-22) is increased. In some embodiments, the expression of interleukin 22 (IL-22) is decreased. In some embodiments, the expression of interleukin 6 (IL-6) is increased. In some embodiments, the expression of interleukin 6 (IL-6) is decreased. In some embodiments, the expression of interleukin 10 (IL-10) is increased. In some embodiments, the expression of interleukin 10 (IL-10) is decreased. In some embodiments, the expression of interleukin 17 (IL-17) is increased. In some embodiments, the expression of interleukin 17 (IL-17) is decreased.

[0273] Also described herein is a method of regulating secretion of an interleukin from a cell, the method comprising contacting the cell with a compound described herein or pharmaceutical composition thereof. In some embodiments, secretion of the interleukin is increased. In some embodiments, secretion of the interleukin is decreased. In some embodiments, the cell is in vitro. In some embodiments, the cell is in vivo. In some embodiments, the interleukin is interleukin 22 (IL-22), interleukin 6 (IL-6), interleukin 10 (IL-10), or interleukin 17 (IL-17). In some embodiments, the interleukin is interleukin 22 (IL-22). In some embodiments, the interleukin is interleukin 6 (IL-6). In some embodiments, the interleukin is interleukin 10 (IL-10). In some embodiments, the interleukin is interleukin 17 (IL-17). In some embodiments, secretion of interleukin 22 (IL-22) is increased. In some embodiments, secretion of interleukin 22 (IL-22) is decreased. In some embodiments, secretion of interleukin 6 (IL-6) is increased. In some embodiments, secretion of interleukin 6 (IL-6) is decreased. In some embodiments, secretion of interleukin 10 (IL-10) is increased. In some embodiments, secretion of interleukin 10 (IL-10) is decreased. In some embodiments, secretion of interleukin 17 (IL-17) is increased. In some embodiments, secretion of interleukin 17 (IL-17) is decreased.

[0274] Also described herein is a method of modulating the function of an immune cell, the method comprising contacting the immune cell with a compound described herein, or pharmaceutical composition thereof. In some embodiments, the activity of the immune cell is increased upon contacting the cell with the compound. In some embodiments, the activity of the immune cell is decreased upon contacting the cell with the compound. In some embodiments, the immune cell is a T cell, a mast cell, a natural killer cell, a B cell, or an innate lymphoid cell. In some embodiments, the T cell is a regulatory T (T reg ) cell. In some embodiments, the T cell is a helper T (T H ) cell. In some embodiments, the helper T (T H ) cell is a T H 17 cell. In some embodiments, the helper T (T H ) cell is a T H 22 cell.

[0275] Also described herein is a method of treating a disease or condition associated with the activity of an aryl hydrocarbon receptor, the method comprising administering a compound described herein, or pharmaceutical composition thereof, to a subject in need thereof in an amount sufficient to modulate the aryl hydrocarbon receptor. Such methods include therapeutic as well as prophylactic (preventative) methods. In some embodiments, the disease or condition is associated with reduced activity of an aryl hydrocarbon receptor. In some embodiments, the disease or condition is associated with reduced activity of an aryl hydrocarbon receptor compared to the activity of the aryl hydrocarbon receptor in a normal (i.e., non-disease) cell.

[0276] Also described herein are compounds, or pharmaceutical compositions thereof, for use for modulating the activity of an aryl hydrocarbon receptor in a cell. The compounds, or pharmaceutical compositions thereof, may be used to treat diseases or conditions associated with the reduced activity of an aryl hydrocarbon receptor in a cell. Thus, provided herein are compounds, or pharmaceutical compositions thereof, for use in treating a proliferative disease, inflammatory disease, autoimmune disease, or metabolic disorder in a subject in need thereof.

[0277] In some embodiments, the compound is an aryl hydrocarbon receptor agonist. In some embodiments, the compound is a partial aryl hydrocarbon receptor agonist. In some embodiments, the compound modulates the aryl hydrocarbon receptor by increasing the activity of the aryl hydrocarbon receptor. In some embodiments, increased activity of the aryl hydrocarbon receptor leads to an increase in gene expression in the cell. In some embodiments, the cell is in vitro. In some embodiments, the cell is in vivo.

[0278] Exemplary diseases associated with the activity of an aryl hydrocarbon receptor include, but are not limited to, proliferative diseases, inflammatory diseases, autoimmune diseases, and metabolic disorders.

[0279] In certain embodiments, the disease or condition associated with activity of an aryl hydrocarbon receptor is a proliferative disorder. Exemplary proliferative diseases include, but are not limited to, tumors, begnin neoplasms, pre-malignant neoplasms (carcinoma in situ), and malignanat neoplasms (cancers). In some embodiments, the proliferative disease is cancer

[0280] Exemplary cancers include, but are not limited to, acoustic neuroma, adenocarcinoma, adrenal gland cancer, anal cancer, angiosarcoma (e.g., lymphangiosarcoma, lymphangioendotheliosarcoma, hemangiosarcoma), appendix cancer, benign monoclonal gammopathy, biliary cancer (e.g., cholangiocarcinoma), bladder cancer, breast cancer (e.g., adenocarcinoma of the breast, papillary carcinoma of the breast, mammary cancer, medullary carcinoma of the breast), brain cancer (e.g., meningioma; glioma, e.g., astrocytoma, oligodendroglioma; medulloblastoma), bronchus cancer, carcinoid tumor, cervical cancer (e.g., cervical adenocarcinoma), choriocarcinoma, chordoma, craniopharyngioma, colorectal cancer (e.g., colon cancer, rectal cancer, colorectal adenocarcinoma), epithelial carcinoma, ependymoma, endotheliosarcoma (e.g., Kaposi's sarcoma, multiple idiopathic hemorrhagic sarcoma), endometrial cancer (e.g., uterine cancer, uterine sarcoma), esophageal cancer (e.g., adenocarcinoma of the esophagus, Barrett's adenocarinoma), Ewing's sarcoma, eye cancer (e.g., intraocular melanoma, retinoblastoma), familiar hypereosinophilia, gall bladder cancer, gastric cancer (e.g., stomach adenocarcinoma), gastrointestinal stromal tumor (GIST), head and neck cancer (e.g., head and neck squamous cell carcinoma, oral cancer (e.g., oral squamous cell carcinoma (OSCC), throat cancer (e.g., laryngeal cancer, pharyngeal cancer, nasopharyngeal cancer, oropharyngeal cancer)), hematopoietic cancers (e.g., leukemia such as acute lymphocytic leukemia (ALL) (e.g., B-cell ALL, T-cell ALL), acute myelocytic leukemia (AML) (e.g., B-cell AML, T-cell AML), chronic myelocytic leukemia (CML) (e.g., B-cell CML, T-cell CML), and chronic lymphocytic leukemia (CLL) (e.g., B-cell CLL, T-cell CLL); lymphoma such as Hodgkin lymphoma (HL) (e.g., B-cell HL, T-cell HL) and non-Hodgkin lymphoma (NHL) (e.g., B-cell NHL such as diffuse large cell lymphoma (DLCL) (e.g., diffuse large B-cell lymphoma (DLBCL)), follicular lymphoma, chronic lymphocytic leukemia / small lymphocytic lymphoma (CLL / SLL), mantle cell lymphoma (MCL), marginal zone B-cell lymphomas (e.g., mucosa-associated lymphoid tissue (MALT) lymphomas, nodal marginal zone B-cell lymphoma, splenic marginal zone B-cell lymphoma), primary mediastinal B-cell lymphoma, Burkitt lymphoma, lymphoplasmacytic lymphoma (i.e., "Waldenström's macroglobulinemia"), hairy cell leukemia (HCL), immunoblastic large cell lymphoma, precursor B-lymphoblastic lymphoma and primary central nervous system (CNS) lymphoma; and T-cell NHL such as precursor T-lymphoblastic lymphomalleukemia, peripheral T-cell lymphoma (PTCL) (e.g., cutaneous T-cell lymphoma (CTCL) (e.g., mycosis fungiodes, Sezary syndrome), angioimmunoblastic T-cell lymphoma, extranodal natural killer T-cell lymphoma, enteropathy type T-cell lymphoma, subcutaneous panniculitis-like T-cell lymphoma, anaplastic large cell lymphoma); a mixture of one or more leukemia / lymphoma as described above; and multiple myeloma (MM)), heavy chain disease (e.g., alpha chain disease, gamma chain disease, mu chain disease), hemangioblastoma, inflammatory myofibroblastic tumors, immunocytic amyloidosis, kidney cancer (e.g., nephroblastoma a.k.a. Wilms' tumor, renal cell carcinoma), liver cancer (e.g., hepatocellular cancer (HCC), malignant hepatoma), lung cancer (e.g., bronchogenic carcinoma, small cell lung cancer (SCLC), non-small cell lung cancer (NSCLC), adenocarcinoma of the lung), leiomyosarcoma (LMS), mastocytosis (e.g., systemic mastocytosis), myelodysplastic syndrome (MDS), mesothelioma, myeloproliferative disorder (MPD) (e.g., polycythemia Vera (PV), essential thrombocytosis (ET), agnogenic myeloid metaplasia (AMM) a.k.a. myelofibrosis (MF), chronic idiopathic myelofibrosis, chronic myelocytic leukemia (CML), chronic neutrophilic leukemia (CNL), hypereosinophilic syndrome (HES)), neuroblastoma, neurofibroma (e.g., neurofibromatosis (NF) type 1 or type 2, schwannomatosis), neuroendocrine cancer (e.g., gastroenteropancreatic neuroendoctrine tumor (GEP-NET), carcinoid tumor), osteosarcoma, ovarian cancer (e.g., cystadenocarcinoma, ovarian embryonal carcinoma, ovarian adenocarcinoma), papillary adenocarcinoma, pancreatic cancer (e.g., pancreatic andenocarcinoma, intraductal papillary mucinous neoplasm (IPMN), Islet cell tumors), penile cancer (e.g., Paget's disease of the penis and scrotum), pinealoma, primitive neuroectodermal tumor (PNT), prostate cancer (e.g., prostate adenocarcinoma), rectal cancer, rhabdomyosarcoma, salivary gland cancer, skin cancer (e.g., squamous cell carcinoma (SCC), keratoacanthoma (KA), melanoma, basal cell carcinoma (BCC)), small bowel cancer (e.g., appendix cancer), soft tissue sarcoma (e.g., malignant fibrous histiocytoma (MFH), liposarcoma, malignant peripheral nerve sheath tumor (MPNST), chondrosarcoma, fibrosarcoma, myxosarcoma), sebaceous gland carcinoma, sweat gland carcinoma, synovioma, testicular cancer (e.g., seminoma, testicular embryonal carcinoma), thyroid cancer (e.g., papillary carcinoma of the thyroid, papillary thyroid carcinoma (PTC), medullary thyroid cancer), urethral cancer, vaginal cancer and vulvar cancer (e.g., Paget's disease of the vulva).

[0281] In some embodiments, the cancer is stomach cancer. In some embodiments, the cancer is breast cancer. In some embodiments, the cancer is skin cancer. In some embodiments, the cancer is ovarian cancer. In some embodiments, the cancer is pancreatic cancer. In some embodiments, the cancer is liver cancer. In some embodiments, the cancer is hematopoietic cancer. In some embodiments, the hematopoietic cancer is leukemia.

[0282] In certain embodiments, the disease or condition associated with activity of an aryl hydrocarbon receptor is an inflammatory disorder. The term "inflammatory disorder" refers to those diseases or conditions that are characterized by signs of pain (dolor, from the generation of noxious substances and the stimulation of nerves), heat (calor, from vasodilatation), redness (rubor, from vasodilatation and increased blood flow), swelling (tumor, from excessive inflow or restricted outflow of fluid), and / or loss of function (functio laesa, which can be partial or complete, temporary or permanent. Inflammation takes on many forms and includes, but is not limited to, acute, adhesive, atrophic, catarrhal, chronic, cirrhotic, diffuse, disseminated, exudative, fibrinous, fibrosing, focal, granulomatous, hyperplastic, hypertrophic, interstitial, metastatic, necrotic, obliterative, parenchymatous, plastic, productive, proliferous, pseudomembranous, purulent, sclerosing, seroplastic, serous, simple, specific, subacute, suppurative, toxic, traumatic, and / or ulcerative inflammation.

[0283] Exemplary inflammatory disorders include, but are not limited to, inflammation associated with acne, anemia (e.g., aplastic anemia, haemolytic autoimmune anaemia), asthma, arteritis (e.g., polyarteritis, temporal arteritis, periarteritis nodosa, Takayasu's arteritis), arthritis (e.g., crystalline arthritis, osteoarthritis, psoriatic arthritis, gouty arthritis, reactive arthritis, rheumatoid arthritis and Reiter's arthritis), ankylosing spondylitis, amylosis, amyotrophic lateral sclerosis, autoimmune diseases, allergies or allergic reactions, atherosclerosis, bronchitis, bursitis, chronic prostatitis, colitis (e.g., ulcerative colitis), conjunctivitis, Chagas disease, chronic obstructive pulmonary disease (COPD), cermatomyositis, diverticulitis, diabetes (e.g., type I diabetes mellitus, type 2 diabetes mellitus), a skin condition (e.g., psoriasis, eczema, burns, dermatitis, pruritus (itch)), endometriosis, Guillain-Barre syndrome, infection, ischaemic heart disease, Kawasaki disease, glomerulonephritis, gingivitis, hypersensitivity, headaches (e.g., migraine headaches, tension headaches), ileus (e.g., postoperative ileus and ileus during sepsis), idiopathic thrombocytopenic purpura, insulitis, interstitial cystitis (painful bladder syndrome), gastrointestinal disorder (e.g., selected from peptic ulcers, regional enteritis, diverticulitis, gastrointestinal bleeding, eosinophilic gastrointestinal disorders (e.g., eosinophilic esophagitis, eosinophilic gastritis, eosinophilic gastroenteritis, eosinophilic colitis), gastritis, diarrhea, gastroesophageal reflux disease (GORD, or its synonym GERD), graft versus host disease, inflammatory bowel disease (IBD) (e.g., Crohn's disease, ulcerative colitis, collagenous colitis, lymphocytic colitis, ischaemic colitis, diversion colitis, Behcet's syndrome, indeterminate colitis) and inflammatory bowel syndrome (IBS)), lupus, multiple sclerosis, morphea, myeasthenia gravis, myocardial ischemia, nephrotic syndrome, pemphigus vulgaris, pernicious aneaemia, peptic ulcers, polymyositis, primary biliary cirrhosis, neuroinflammation associated with brain disorders (e.g., Parkinson's disease, Huntington's disease, and Alzheimer's disease), pancreatitis, prostatitis, chronic inflammation associated with cranial radiation injury, pelvic inflammatory disease, reperfusion injury, regional enteritis, rheumatic fever, systemic lupus erythematosus, schleroderma, scierodoma, sarcoidosis, spondyloarthopathies, Sjogren's syndrome, thyroiditis, transplantation rejection, tendonitis, trauma or injury (e.g., frostbite, chemical irritants, toxins, scarring, burns, physical injury), vasculitis, vitiligo and Wegener's granulomatosis.

[0284] In certain embodiments, the inflammatory disorder is colitis. In certain embodiments, the inflammatory disorder is inflammatory bowel disease. In certain embodiments, the inflammatory disorder is Crohn's disease. In certain embodiments, the inflammatory disorder is rheumatoid arthritis. In certain embodiments, the inflammatory disorder is multiple sclerosis. In certain embodiments, the inflammatory disorder is psoriasis. In certain embodiments, the inflammatory disorder is dermatitis. In certain embodiments, the inflammatory disorder is pancreatitis. In certain embodiments, the inflammatory disorder is insulitis. In certain embodiments, the inflammatory disorder is atherosclerosis.

[0285] In certain embodiments, the disease or condition associated with activity of an aryl hydrocarbon receptor is an autoimmune disorder. Exemplary autoimmune disorders include, but are not limited to, arthritis (including rheumatoid arthritis, spondyloarthopathies, gouty arthritis, degenerative joint diseases such as osteoarthritis, systemic lupus erythematosus, Sjogren's syndrome, ankylosing spondylitis, undifferentiated spondylitis, Behcet's disease, haemolytic autoimmune anaemias, multiple sclerosis, amyotrophic lateral sclerosis, amylosis, acute painful shoulder, psoriatic, and juvenile arthritis), asthma, atherosclerosis, osteoporosis, bronchitis, tendonitis, bursitis, skin condition (e.g., psoriasis, eczema, burns, dermatitis, pruritus (itch)), enuresis, eosinophilic disease, gastrointestinal disorder (e.g., selected from peptic ulcers, regional enteritis, diverticulitis, gastrointestinal bleeding, eosinophilic gastrointestinal disorders (e.g., eosinophilic esophagitis, eosinophilic gastritis, eosinophilic gastroenteritis, eosinophilic colitis), gastritis, diarrhea, gastroesophageal reflux disease (GORD, or its synonym GERD), inflammatory bowel disease (IBD) (e.g., Crohn's disease, ulcerative colitis, collagenous colitis, lymphocytic colitis, ischaemic colitis, diversion colitis, Behcet's syndrome, indeterminate colitis) and inflammatory bowel syndrome (IBS)), and disorders ameliorated by a gastroprokinetic agent (e.g., ileus, postoperative ileus and ileus during sepsis; gastroesophageal reflux disease (GORD, or its synonym GERD); eosinophilic esophagitis, gastroparesis such as diabetic gastroparesis; food intolerances and food allergies and other functional bowel disorders, such as non-ulcerative dyspepsia (NUD) and non-cardiac chest pain (NCCP, including costo-chondritis)).

[0286] In certain embodiments, the disease or condition associated with activity of an aryl hydrocarbon receptor is a metabolic disorder. The term "metabolic disorder" refers to any disorder that involves an alteration in the normal metabolism of carbohydrates, lipids, proteins, nucleic acids, or a combination thereof. A metabolic disorder is associated with either a deficiency or excess in a metabolic pathway resulting in an imbalance in metabolism of nucleic acids, proteins, lipids, and / or carbohydrates. Factors affecting metabolism include, and are not limited to, the endocrine (hormonal) control system (e.g., the insulin pathway, the enteroendocrine hormones including GLP-1, PYY or the like), the neural control system (e.g., GLP-1 in the brain), or the like. Examples of metabolic disorders include, but are not limited to, diabetes (e.g., Type I diabetes, Type II diabetes, gestational diabetes), hyperglycemia, hyperinsulinemia, insulin resistance, steatosis (e.g., fatty liver disease), and obesity.

[0287] In some embodiments, the metabolic disorder is type I diabetes. In some embodiments, the metabolic disorder is steatosis.

[0288] In some embodiments, the metabolic disorder is metabolic syndrome. "Metabolic syndrome" refers to a cluster of conditions that can occur together to increase the risk of heart disease, stroke, and / or diabetes in a patient. Exemplary conditions that can be present in a subject with metabolic syndrome include, but are not limited to, increased blood pressure, high blood sugar, excess body fat around the waist (e.g., obesity), abnormal cholesterol levels, and abnormal triglyceride levels. Metabolic syndrome can be linked to obesity, inactivity, and / or insulin resistance.

[0289] Compounds of Formula (I) may be formulated in dosage unit form for ease of administration and uniformity of dosage. It will be understood, however, that the total daily usage of the compositions comprising a compound of Formula (I) will be decided by the attending physician within the scope of sound medical judgment. The specific therapeutically effective dose level for any particular subject or organism will depend upon a variety of factors including the disease or condition being treated and the severity of the disorder; the activity of the specific active ingredient employed; the specific composition employed; the age, body weight, general health, sex and diet of the subject; the time of administration, route of administration, and rate of excretion of the specific active ingredient employed; the duration of the treatment; drugs used in combination or coincidental with the specific active ingredient employed; and like factors well known in the medical arts.

[0290] The compounds and compositions provided herein can be administered by any route, including enteral (e.g., oral), parenteral, intravenous, intramuscular, intra-arterial, intramedullary, intrathecal, subcutaneous, intraventricular, transdermal, intradermal, rectal, intravaginal, intraperitoneal, topical (as by powders, ointments, creams, and / or drops), mucosal, nasal, buccal, sublingual; by intratracheal instillation, bronchial instillation, and / or inhalation; and / or as an oral spray, nasal spray, and / or aerosol. Specifically contemplated routes are oral administration. In general the most appropriate route of administration will depend upon a variety of factors including the nature of the agent (e.g., its stability in the environment of the gastrointestinal tract), the condition of the subject (e.g., whether the subject is able to tolerate oral administration).

[0291] The exact amount of a compound required to achieve an effective amount will vary from subject to subject, depending, for example, on species, age, and general condition of a subject, severity of the side effects or disorder, identity of the particular compound(s), mode of administration, and the like. The desired dosage can be delivered three times a day, two times a day, once a day, every other day, every third day, every week, every two weeks, every three weeks, or every four weeks. In certain embodiments, the desired dosage can be delivered using multiple administrations (e.g., two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, or more administrations).

[0292] In certain embodiments, an effective amount of a compound for administration one or more times a day to a 70 kg adult human may comprise about 0.0001 mg to about 3000 mg, about 0.0001 mg to about 2000 mg, about 0.0001 mg to about 1000 mg, about 0.001 mg to about 1000 mg, about 0.01 mg to about 1000 mg, about 0.1 mg to about 1000 mg, about 1 mg to about 1000 mg, about 1 mg to about 100 mg, about 10 mg to about 1000 mg, or about 100 mg to about 1000 mg, of a compound per unit dosage form.

[0293] In certain embodiments, the compounds may be administered orally or parenterally at dosage levels sufficient to deliver from about 0.001 mg / kg to about 100 mg / kg, from about 0.01 mg / kg to about 50 mg / kg, preferably from about 0.1 mg / kg to about 40 mg / kg, preferably from about 0.5 mg / kg to about 30 mg / kg, from about 0.01 mg / kg to about 10 mg / kg, from about 0.1 mg / kg to about 10 mg / kg, and more preferably from about 1 mg / kg to about 25 mg / kg, of subject body weight per day, one or more times a day, to obtain the desired therapeutic effect.

[0294] It will be appreciated that dose ranges as described herein provide guidance for the administration of provided pharmaceutical compositions to an adult. The amount to be administered to, for example, a child or an adolescent can be determined by a medical practitioner or person skilled in the art and can be lower or the same as that administered to an adult.

[0295] It will be also appreciated that a compound or composition, as described herein, can be administered in combination with one or more additional therapeutically active agents. The compounds or compositions can be administered in combination with additional therapeutically active agents that improve their bioavailability, reduce and / or modify their metabolism, inhibit their excretion, and / or modify their distribution within the body. It will also be appreciated that the therapy employed may achieve a desired effect for the same disorder (for example, a compound can be administered in combination with an anti-inflammatory agent, anti-cancer agent, etc.), and / or it may achieve different effects (e.g., control of adverse side-effects, e.g., emesis controlled by an anti-emetic).

[0296] The compound or composition can be administered concurrently with, prior to, or subsequent to, one or more additional therapeutically active agents. In general, each agent will be administered at a dose and / or on a time schedule determined for that agent. In will further be appreciated that the additional therapeutically active agent utilized in this combination can be administered together in a single composition or administered separately in different compositions. The particular combination to employ in a regimen will take into account compatibility of the inventive compound with the additional therapeutically active agent and / or the desired therapeutic effect to be achieved. In general, it is expected that additional therapeutically active agents utilized in combination be utilized at levels that do not exceed the levels at which they are utilized individually. In some embodiments, the levels utilized in combination will be lower than those utilized individually. Additional therapeutically active agents include, but are not limited to, small organic molecules such as drug compounds (e.g., compounds approved by the Food and Drugs Administration as provided in the Code of Federal Regulations (CFR)), peptides, proteins, carbohydrates, monosaccharides, oligosaccharides, polysaccharides, nucleoproteins, mucoproteins, lipoproteins, synthetic polypeptides or proteins, small molecules linked to proteins, glycoproteins, steroids, nucleic acids, DNAs, RNAs, nucleotides, nucleosides, oligonucleotides, antisense oligonucleotides, lipids, hormones, vitamins and cells. In certain embodiments, the additional therapeutically agent is a cancer agent (e.g., a biotherapeutic or chemotherapeutic cancer agent). In other embodiments, the additional therapeutically active agent is an anti-inflammatory agent.Examples

[0297] In order that the invention described herein may be more fully understood, the following examples are set forth. It should be understood that these examples are for illustrative purposes only and are not to be construed as limiting this invention in any manner.Example 1 - Aryl Hydrocarbon Receptor ModulatorsTherapy for IBD is often ineffective despite the use of immunosuppressive agents and new biologic drugs

[0298] Inflammatory...

Claims

1. A compound of Formula (II-a): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein: X1 is N or CRA; RX is hydrogen, substituted or unsubstituted alkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted acyl, or a nitrogen protecting group; each instance of RA is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -ORA1, -N(RA1)2, -SRA1, -CN, -C(RA1)3, -SCN, -C(=NRA1)RA1 -C(=NRA1)ORA1, -C(=NRA1)N(RA1)2, -C(=O)RA1, -C(=O)ORA1, -C(=O)N(RA1)2, -NO2, -NRA1C(=O)RA1, -NRA1C(=O)ORA1, -NRA1C(=O)N(RA1)2, -OC(=O)RA1, -OC(=O)ORA1, or -OC(=O)N(RA1)2, or two RA groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of RA1 is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two RA1 groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; RB is halogen, C1-6 alkyl substituted with at least one halogen, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -ORB1, -N(RB1)2, -SRB1, -CN, -C(RB1)3, -SCN, -C(=NRB1)RB1, -C(=NRB1)ORB1, -C(=NRB1)N(RB1)2, -C(=O)ORB1, -C(=O)N(RB1)2, -NO2, -NRB1C(=O)RB1, -NRB1C(=O)ORB1, -NRB1C(=O)N(RB1)2, -OC(=O)RB1, -OC(=O)ORB1, or -OC(=O)N(RB1)2; each instance of RB1 is independently hydrogen, halogen, substituted or unsubstituted C2-6 alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl, or two RB1 groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; RC is hydrogen each instance of RZ is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -ORZ1, -N(RZ1)2, -SRZ1, -CN, -C(RZ1)3, -SCN, -C(=NRZ1)RZ1, -C(=NRZ1)ORZ1, -C(=NRZ1)N(RZ1)2, -C(=O)RZ1, -C(=O)ORZ1, -C(=O)N(RZ1)2, -NO2, -NRZ1C(=O)RZ1, -NRZ1C(=O)ORZ1, -NRZ1C(=O)N(RZ1)2, -OC(=O)RZ1, -OC(=O)ORZ1, or -OC(=O)N(RZ1)2; and each instance of RZ1 is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two RZ1 groups bonded to the same nitrogen atom are joined to form a substituted or unsubstituted heterocyclic or substituted or unsubstituted heteroaryl ring; m is 0, 1, 2, or 3; r is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -ORaa, -N(Rcc)2, -C(=O)Raa, -C(=O)N(Rcc)2, -CO2Raa, -SO2Raa, -C(=NRcc)Raa, -C(=NRcc)ORaa, -C(=NRcc)N(Rcc)2, -SO2N(Rcc)2, -SO2Rcc, -SO2ORcc, -SORaa, -C(=S)N(Rcc)2, -C(=O)SRcc, -C(=S)SRcc, C1-10 alkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10 heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of an oxygen protecting group is independently selected from -Raa, -N(Rbb)2, -C(=O)SRaa, -C(=O)Raa, -CO2Raa, -C(=O)N(Rbb)2, -C(=NRbb)Raa, -C(=NRbb)ORaa, -C(=NRbb)N(Rbb)2, -S(=O)Raa, -SO2Raa, -Si(Raa)3, -P(Rcc)2, -P(Rcc)3, -P(=O)2Raa, -P(=O)(Raa)2, -P(=O)(ORcc)2, -P(=O)2N(Rbb)2, and -P(=O)(NRbb)2; each instance of a sulfur protecting group is independently selected from -Raa, -N(Rbb)2, -C(=O)SRaa, -C(=O)Raa, -CO2Raa, -C(=O)N(Rbb)2, -C(=NRbb)Raa, -C(=NRbb)ORaa, -C(=NRbb)N(Rbb)2, -S(=O)Raa, -SO2Raa, -Si(Raa)3, -P(Rcc)2, -P(Rcc)3, -P(=O)2Raa, -P(=O)(Raa)2, -P(=O)(ORcc)2, -P(=O)2N(Rbb)2, and -P(=O)(NRbb)2; each instance of Raa is, independently, selected from C1-10 alkyl, C1-10 perhaloalkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, or two Raa groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of Rbb is, independently, selected from hydrogen, -OH, -ORaa, -N(Rcc)2, -CN, -C(=O)Raa, -C(=O)N(Rcc)2, -CO2Raa, -SO2Raa, -C(=NRcc)ORaa, -C(=NRcc)N(Rcc)2, -SO2N(Rcc)2, -SO2Rcc, -SO2ORcc, -SORaa, -C(=S)N(Rcc)2, -C(=O)SRcc, -C(=S)SRcc, -P(=O)2Raa, -P(=O)(Raa)2, -P(=O)2N(Rcc)2, -P(=O)(NRcc)2, C1-10 alkyl, C1-10 perhaloalkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, or two Rbb groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of Rcc is, independently, selected from hydrogen, C1-10 alkyl, C1-10 perhaloalkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, or two Rcc groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of Rdd is, independently, selected from halogen, -CN, -NO2, -N3, -SO2H, -SO3H, -OH, -ORee, -ON(Rff)2, -N(Rff)2, -N(Rff)3+X-, -N(ORee)Rff, -SH, -SRee, -SSRee, -C(=O)Ree, -CO2H, -CO2Ree, -OC(=O)Ree, -OCO2Ree, -C(=O)N(Rff)2, -OC(=O)N(Rff)2, -NRffC(=O)Ree, -NRffCO2Ree, -NRffC(=O)N(Rff)2, -C(=NRff)ORee, -OC(=NRff)Ree, -OC(=NRff)ORee, -C(=NRff)N(Rff)2, -OC(=NRff)N(Rff)2, -NRffC(=NRff)N(Rff)2,-NRffSO2Ree, -SO2N(Rff)2, -SO2Ree, -SO2ORee, -OSO2Ree, -S(=O)Ree, -Si(Ree)3, -OSi(Ree)3, -C(=S)N(Rff)2, -C(=O)SRee, -C(=S)SRee, -SC(=S)SRee, -P(=O)2Ree, -P(=O)(Ree)2, -OP(=O)(Ree)2, -OP(=O)(ORee)2, C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6 heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, 3-10 membered heterocyclyl, C6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rgg groups, or two geminal Rdd substituents can be joined to form =O or =S; each instance of Ree is, independently, selected from C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6 heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, C6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rgg groups; each instance of Rff is, independently, selected from hydrogen, C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6 heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, 3-10 membered heterocyclyl, C6-10 aryl, and 5-10 membered heteroaryl, or two Rff groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rgg groups; and each instance of Rgg is, independently, halogen, -CN, -NO2, -N3, -SO2H, -SO3H, -OH, -OC1-6 alkyl, -ON(C1-6 alkyl)2, -N(C1-6 alkyl)2, -N(C1-6 alkyl)3+X-, -NH(C1-6 alkyl)2+X-, -NH2(C1-6 alkyl)+X-, -NH3+x- , -N(OC1-6 alkyl)(C1-6 alkyl), -N(OH)(C1-6 alkyl), -NH(OH), -SH, -SC1-6 alkyl, -SS(C1-6 alkyl), -C(=O)(C1-6 alkyl), -CO2H, -CO2(C1-6 alkyl), -OC(=O)(C1-6 alkyl), -OCO2(C1-6 alkyl), -C(=O)NH2, -C(=O)N(C1-6 alkyl)2, -OC(=O)NH(C1-6 alkyl), -NHC(=O)( C1-6 alkyl), -N(C1-6 alkyl)C(=O)( C1-6 alkyl), -NHCO2(C1-6 alkyl), -NHC(=O)N(C1-6 alkyl)2, -NHC(=O)NH(C1-6 alkyl), -NHC(=O)NH2, -C(=NH)O(C1-6 alkyl),-OC(=NH)(C1-6 alkyl), -OC(=NH)OC1-6 alkyl, -C(=NH)N(C1-6 alkyl)2, -C(=NH)NH(C1-6 alkyl), -C(=NH)NH2, -OC(=NH)N(C1-6 alkyl)2, -OC(NH)NH(C1-6 alkyl), -OC(NH)NH2, -NHC(NH)N(C1-6 alkyl)2, -NHC(=NH)NH2, -NHSO2(C1-6 alkyl), -SO2N(C1-6 alkyl)2, -SO2NH(C1-6 alkyl), -SO2NH2,-SO2C1-6 alkyl, -SO2OC1-6 alkyl, -OSO2C1-6 alkyl, -SOC1-6 alkyl, -Si(C1-6 alkyl)3, -OSi(C1-6 alkyl)3 -C(=S)N(C1-6 alkyl)2, C(=S)NH(C1-6 alkyl), C(=S)NH2, -C(=O)S(C1-6 alkyl), -C(=S)SC1-6 alkyl, -SC(=S)SC1-6 alkyl, -P(=O)2(C1-6 alkyl), -P(=O)(C1-6 alkyl)2, -OP(=O)(C1-6 alkyl)2, -OP(=O)(OC1-6 alkyl)2, C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, C6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal Rgg substituents can be joined to form =O or =S; wherein X- is a counterion; with the proviso that the compound is not 2. The compound of claim 1 of Formula (II-aii): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof.

3. A compound of Formula (III-ai): or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, wherein: Z1 is S; X1 is CRA; RX is hydrogen; each instance of RA is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroaryl, -ORA1, -N(RA1)2, -SRA1, -CN, -C(RA1)3, -SCN, -C(=NRA1)RA1, -C(=NRA1)ORA1, -C(=NRA1)N(RA1)2, -C(=O)RA1, -C(=O)ORA1, -C(=O)N(RA1)2, -NO2, -NRA1C(=O)RA1, -NRA1C(=O)ORA1, -NRA1C(=O)N(RA1)2, -OC(=O)RA1, -OC(=O)ORA1, or -OC(=O)N(RA1)2; each instance of RA1 is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two RA1 groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; each instance of RB is independently substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, -ORB1, -N(RB1)2, -SRB1, -CN, -C(RB1)3, -SCN, - C(=NRB1)RB1, -C(=NRB1)ORB1, -C(=NRB1)N(RB1)2, -C(=O)RB1, -C(=O)ORB1, -C(=O)N(RB1)2, -NO2, -NRB1C(=O)RB1, -NRB1C(=O)ORB1, -NRB1C(=O)N(RB1)2, -OC(=O)RB1, -OC(=O)ORB1, or -OC(=O)N(RB1)2; each instance of RB1 is independently hydrogen, halogen, substituted or unsubstituted alkyl, substituted or unsubstituted heteroalkyl, substituted or unsubstituted alkenyl, substituted or unsubstituted heteroalkenyl, substituted or unsubstituted alkynyl, substituted or unsubstituted heteroalkynyl, substituted or unsubstituted acyl, substituted or unsubstituted carbocyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted aryl, substituted or unsubstituted heteroaryl, a nitrogen protecting group when attached to a nitrogen atom, an oxygen protecting group when attached to an oxygen atom, or a sulfur protecting group when attached to a sulfur atom, or two RB1 groups are joined to form a substituted or unsubstituted carbocyclic, substituted or unsubstituted heterocyclic, substituted or unsubstituted aryl, or substituted or unsubstituted heteroaryl ring; RC is hydrogen; m is 0, 1, 2, or 3; each instance of a nitrogen protecting group is independently selected from -OH, -ORaa, -N(Rcc)2, -C(=O)Raa, -C(=O)N(Rcc)2, -CO2Raa, -SO2Raa, -C(=NRcc)Raa, -C(=NRcc)ORaa, -C(=NRcc)N(Rcc)2, -SO2N(Rcc)2, -SO2Rcc, -SO2ORcc, -SORaa, -C(=S)N(Rcc)2, -C(=O)SRcc, -C(=S)SRcc, C1-10 alkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10 heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aralkyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of an oxygen protecting group is independently selected from -Raa, -N(Rbb)2, -C(=O)SRaa, -C(=O)Raa, -CO2Raa, -C(=O)N(Rbb)2, -C(=NRbb)Raa, -C(=NRbb)ORaa, -C(=NRbb)N(Rbb)2, -S(=O)Raa, -SO2Raa, -Si(Raa)3, -P(Rcc)2, -P(Rcc)3, -P(=O)2Raa, -P(=O)(Raa)2, -P(=O)(ORcc)2, -P(=O)2N(Rbb)2, and -P(=O)(NRbb)2; each instance of a sulfur protecting group is independently selected from -Raa, -N(Rbb)2, -C(=O)SRaa, -C(=O)Raa, -CO2Raa, -C(=O)N(Rbb)2, -C(=NRbb)Raa, -C(=NRbb)ORaa, -C(=NRbb)N(Rbb)2, -S(=O)Raa, -SO2Raa, -Si(Raa)3, -P(Rcc)2, -P(Rcc)3, -P(=O)2Raa, -P(=O)(Raa)2, -P(=O)(ORcc)2, -P(=O)2N(Rbb)2, and -P(=O)(NRbb)2; each instance of Raa is, independently, selected from C1-10 alkyl, C1-10 perhaloalkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, or two Raa groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of Rbb is, independently, selected from hydrogen, -OH, -ORaa, -N(Rcc)2, -CN, -C(=O)Raa, -C(=O)N(Rcc)2, -CO2Raa, -SO2Raa, -C(=NRcc)ORaa, -C(=NRcc)N(Rcc)2, -SO2N(Rcc)2, -SO2Rcc, -SO2ORcc, -SORaa, -C(=S)N(Rcc)2, -C(=O)SRcc, -C(=S)SRcc, -P(=O)2Raa, -P(=O)(Raa)2, -P(=O)2N(Rcc)2, -P(=O)(NRcc)2, C1-10 alkyl, C1-10 perhaloalkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, or two Rbb groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of Rcc is, independently, selected from hydrogen, C1-10 alkyl, C1-10 perhaloalkyl, C2-10 alkenyl, C2-10 alkynyl, C1-10 heteroalkyl, C2-10 heteroalkenyl, C2-10heteroalkynyl, C3-10 carbocyclyl, 3-14 membered heterocyclyl, C6-14 aryl, and 5-14 membered heteroaryl, or two Rcc groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rdd groups; each instance of Rdd is, independently, selected from halogen, -CN, -NO2, -N3, -SO2H, -SO3H, -OH, -ORee, -ON(Rff)2, -N(Rff)2, -N(Rff)3+X-, -N(ORee)Rff, -SH, -SRee, -SSRee, -C(=O)Ree, -CO2H, -CO2Ree, -OC(=O)Ree, -OCO2Ree, -C(=O)N(Rff)2, -OC(=O)N(Rff)2, -NRffC(=O)Ree, -NRffCO2Ree, -NRffC(=O)N(Rff)2, -C(=NRff)ORee, -OC(=NRff)Ree, -OC(=NRff)ORee, -C(=NRff)N(Rff)2, -OC(=NRff)N(Rff)2, -NRffC(=NRff)N(Rff)2,-NRffSO2Ree, -SO2N(Rff)2, -SO2Ree, -SO2ORee, -OSO2Ree, -S(=O)Ree, -Si(Ree)3, -OSi(Ree)3, -C(=S)N(Rff)2, -C(=O)SRee, -C(=S)SRee, -SC(=S)SRee, -P(=O)2Ree, -P(=O)(Ree)2, -OP(=O)(Ree)2, -OP(=O)(ORee)2, C16 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6 heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, 3-10 membered heterocyclyl, C6-10 aryl, and 5-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rgg groups, or two geminal Rdd substituents can be joined to form =O or =S; each instance of Ree is, independently, selected from C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6 heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, C6-10 aryl, 3-10 membered heterocyclyl, and 3-10 membered heteroaryl, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rgg groups; each instance of Rff is, independently, selected from hydrogen, C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6 heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, 3-10 membered heterocyclyl, C6-10 aryl, and 5-10 membered heteroaryl, or two Rff groups are joined to form a 3-14 membered heterocyclyl or 5-14 membered heteroaryl ring, wherein each alkyl, alkenyl, alkynyl, heteroalkyl, heteroalkenyl, heteroalkynyl, carbocyclyl, heterocyclyl, aryl, and heteroaryl is independently substituted with 0, 1, 2, 3, 4, or 5 Rgg groups; and each instance of Rgg is, independently, halogen, -CN, -NO2, -N3, -SO2H, -SO3H, -OH, -OC1-6 alkyl, -ON(C1-6 alkyl)2, -N(C1-6 alkyl)2, -N(C1-6 alkyl)3+X- , -NH(C1-6 alkyl)2+X-, -NH2(C1-6 alkyl)+X- , -NH3+x- , -N(OC1-6 alkyl)(C1-6 alkyl), -N(OH)(C1-6 alkyl), -NH(OH), -SH, -SC1-6 alkyl, -SS(C1-6 alkyl), -C(=O)(C1-6 alkyl), -CO2H, -CO2(C1-6 alkyl), -OC(=O)(C1-6 alkyl), -OCO2(C1-6 alkyl), -C(=O)NH2, -C(=O)N(C1-6 alkyl)2, -OC(=O)NH(C1-6 alkyl), -NHC(=O)( C1-6 alkyl), -N(C1-6 alkyl)C(=O)( C1-6 alkyl), -NHCO2(C1-6 alkyl), -NHC(=O)N(C1-6 alkyl)2, -NHC(=O)NH(C1-6 alkyl), -NHC(=O)NH2, -C(=NH)O(C1-6 alkyl),-OC(=NH)(C1-6 alkyl), -OC(=NH)OC1-6 alkyl, -C(=NH)N(C1-6 alkyl)2, -C(=NH)NH(C1-6 alkyl), -C(=NH)NH2, -OC(=NH)N(C1-6 alkyl)2, -OC(NH)NH(C1-6 alkyl), -OC(NH)NH2, -NHC(NH)N(C1-6 alkyl)2, -NHC(=NH)NH2, -NHSO2(C1-6 alkyl), -SO2N(C1-6 alkyl)2, -SO2NH(C1-6 alkyl), -SO2NH2,-SO2C1-6 alkyl, -SO2OC1-6 alkyl, -OSO2C1-6 alkyl, -SOC1-6 alkyl, -Si(C1-6 alkyl)3, -OSi(C1-6 alkyl)3 -C(=S)N(C1-6 alkyl)2, C(=S)NH(C1-6 alkyl), C(=S)NH2, -C(=O)S(C1-6 alkyl), -C(=S)SC1-6 alkyl, -SC(=S)SC1-6 alkyl, -P(=O)2(C1-6 alkyl), -P(=O)(C1-6 alkyl)2, -OP(=O)(C1-6 alkyl)2, -OP(=O)(OC1-6 alkyl)2, C1-6 alkyl, C1-6 perhaloalkyl, C2-6 alkenyl, C2-6 alkynyl, C1-6heteroalkyl, C2-6 heteroalkenyl, C2-6heteroalkynyl, C3-10 carbocyclyl, C6-10 aryl, 3-10 membered heterocyclyl, or 5-10 membered heteroaryl; or two geminal Rgg substituents can be joined to form =O or =S; wherein X- is a counterion.

4. The compound of claim 1, wherein X1 is CRA.

5. The compound of claim 3 or 4, wherein RA is H.

6. The compound of any one of claims 1, 4 and 5, wherein RX is hydrogen.

7. The compound of any one of claims 1-6, wherein m is 0 or 1.

8. The compound of any one of claims 1 and 4-7, wherein r is 0.

9. The compound of any one of claims 1 and 4-7, wherein r is 1.

10. The compound of any one of claims 1-9, wherein RB is selected from one of the following: (i) substituted or unsubstituted phenyl; (ii) a substituted or unsubstituted 5- to 6-membered heteroaryl ring; (iii) a substituted or unsubstituted 3- to 8-membered carbocyclic ring; (iv) a substituted or unsubstituted 3- to 8-membered heterocyclic ring, optionally a 6-membered heterocyclic ring, optionally morpholino; (v) -ORB1; (vi) -C(=O)ORB1; (vii) -OC(=O)RB1; (viii) -CN; (ix) C1-6 alkyl substituted with at least one halogen, optionally -CF3; (x) -N(RB1)2; and (xi) -C(=O)N(RB1)2.

11. The compound of any one of claims 1-10, wherein RB is -CN or -CF3.

12. The compound of claim 1, wherein the compound is selected from: and pharmaceutically acceptable salts, solvates, hydrates, stereoisomers, tautomers, isotopically labeled derivatives, and polymorphs thereof.

13. The compound of claim 3, wherein the compound is: or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorphs thereof.

14. A compound selected from: and pharmaceutically acceptable salts, solvates, hydrates, stereoisomers, tautomers, isotopically labeled derivatives, and polymorphs thereof.

15. The compound of claim 12, wherein the compound is selected from: and pharmaceutically acceptable salts thereof.

16. A pharmaceutical composition comprising a compound of any one of claims 1-15, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, and a pharmaceutically acceptable excipient.

17. A compound of any one of claims 1-15, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, or a pharmaceutical composition of claim 16, for use in a method of treatment, wherein the treatment involves: (i) modulating an aryl hydrocarbon receptor of a cell, optionally wherein the activity of the aryl hydrocarbon receptor of the cell increases in the presence of the compound; (ii) increasing expression of a gene in a cell, optionally wherein the gene is CYP1A1, CYPIA2, CYP1B1, ALDH3A1, NQO1, UGT1A1, Mucl, Muc3, or Bcl21, preferably wherein the gene is CYP1A1; (iii) regulating the expression of an interleukin in a cell, optionally wherein expression of the interleukin is increased; (iv) regulating secretion of an interleukin from a cell, optionally wherein secretion of the interleukin is increased, optionally wherein the interleukin is interleukin 22 (IL-22) or interleukin 10 (IL-10); (v) modulating the function of an immune cell, optionally wherein the immune cell is a T cell, a mast cell, a natural killer cell, a B cell, or an innate lymphoid cell, optionally wherein the T cell is a regulatory T (Treg) cell or a helper T (TH) cell, and optionally wherein the helper T (TH) cell is a TH17 cell or a TH22 cell; (vi) modulating the function of a γδT cell; and / or (vii) modulating the function of an epithelial cell, optionally wherein the epithelial cell is an intestinal epithelial cell.

18. A compound of any one of claims 1-15, or a pharmaceutically acceptable salt, solvate, hydrate, stereoisomer, tautomer, isotopically labeled derivative, or polymorph thereof, or a pharmaceutical composition of claim 16, for use in a method of treating a disease or condition associated with activity of an aryl hydrocarbon receptor, optionally wherein the disease or condition is one of the following: (i) an inflammatory disease, optionally wherein the inflammatory disease is colitis, inflammatory bowel disease, Crohn's disease, rheumatoid arthritis, multiple sclerosis, psoriasis, dermatitis, pancreatitis, insulitis, atherosclerosis, or graft versus host disease, optionally wherein the colitis is ulcerative colitis; (ii) an inflammatory disease selected from allergies and allergic reactions, asthma, and chronic obstructive pulmonary disease (COPD); (iii) an autoimmune disease; (iv) a metabolic disorder, optionally wherein the metabolic disorder is metabolic syndrome, type II diabetes, or steatosis; (v) type I diabetes; or (vi) a proliferative disease, optionally wherein the proliferative disease is cancer, optionally wherein the cancer is stomach cancer, breast cancer, skin cancer, ovarian cancer, pancreatic cancer, liver cancer, or a hematopoietic cancer; (vii) a cancer selected from acute myelocytic leukemia (AML) and chronic myelocytic leukemia (CML); or (vii) a cancer selected from kidney cancer, lung cancer, head and neck cancer, brain cancer, and colorectal cancer, optionally wherein the colorectal cancer is colitis-associated cancer.