Patent Publication Number: US-9850523-B1

Title: Methods for multi-resolution analysis of cell-free nucleic acids

Description:
CROSS-REFERENCE 
     This application claims priority to U.S. Provisional Application No. 62/402,940, filed Sep. 30, 2016, which is hereby incorporated by reference in its entirety. 
    
    
     SEQUENCE LISTING 
     The instant application contains a Sequence Listing which has been submitted electronically in ASCII format and is hereby incorporated by reference in its entirety. Said ASCII copy, created on Apr. 28, 2017, is named 42534-733_201_SL.txt and is 2,899 bytes in size. 
     BACKGROUND 
     Analysis of cell-free nucleic acids (e.g., deoxyribonucleic acid or ribonucleic acid) for tumor-derived genetic variants is a critical step in a typical analysis pipeline for cancer detection, assessment, and monitoring applications. Most current methods of cancer diagnostic assays of cell-free nucleic acids focus on the detection of tumor-related somatic variants, including single-nucleotide variants (SNVs), copy-number variations (CNVs), fusions, and insertions/deletions (indels), which are all mainstream targets for liquid biopsy. A typical analysis approach may comprise enriching a nucleic acid sample for targeted regions of a genome, followed by sequencing of enriched nucleic acids and analysis of sequence read data for genetic variants of interest. These nucleic acids may be enriched using a bait mixture selected for a particular assay according to assay constraints, including limited sequencing load and utility associated with each genomic region of interest. 
     SUMMARY 
     In an aspect, the present disclosure provides a bait set panel comprising one or more bait sets that selectively enrich for one or more nucleosome-associated regions of a genome, said nucleosome-associated regions comprising genomic regions having one or more genomic base positions with differential nucleosomal occupancy, wherein the differential nucleosomal occupancy is characteristic of a cell or tissue type of origin or disease state. 
     In some embodiments, each of the one or more nucleosome-associated regions of a bait set panel comprise at least one of: (i) significant structural variation, comprising a variation in nucleosomal positioning, said structural variation selected from the group consisting of: an insertion, a deletion, a translocation, a gene rearrangement, methylation status, a micro-satellite, a copy number variation, a copy number-related structural variation, or any other variation which indicates differentiation; and (ii) instability, comprising one or more significant fluctuations or peaks in a genome partitioning map indicating one or more locations of nucleosomal map disruptions in a genome. 
     In some embodiments, the one or more bait sets of a bait set panel are configured to capture nucleosome-associated regions of the genome based on a function of a plurality of reference nucleosomal occupancy profiles (i) associated with one or more disease states and one or more non-disease states; (ii) associated with a known somatic mutation, such as SNV, CNV, indel, or re-arrangement; and/or (iii) associated with differential expression patterns. In an embodiment, the one or more bait sets of a bait set panel selectively enrich for one or more nucleosome-associated regions in a cell-free deoxyribonucleic acid (cfDNA) sample. 
     In another aspect, the present disclosure provides a method for enriching a nucleic acid sample for nucleosome-associated regions of a genome comprising (a) bringing a nucleic acid sample in contact with a bait set panel, said bait set panel comprising one or more bait sets that selectively enrich for one or more nucleosome-associated regions of a genome; and (b) enriching the nucleic acid sample for one or more nucleosome-associated regions of a genome. 
     In some embodiments, the one or more bait sets in a bait set panel are configured to capture nucleosome-associated regions of the genome based on a function of a plurality of reference nucleosomal occupancy profiles associated with one or more disease states and one or more non-disease states. In an embodiment, the one or bait sets in a bait set panel selectively enrich for the one or more nucleosome-associated regions in a cfDNA sample. In an embodiment, the method for enriching a nucleic acid sample for nucleosome-associated regions of a genome further comprises sequencing the enriched nucleic acids to produce sequence reads of the nucleosome-associated regions of a genome. 
     In another aspect, the present disclosure provides a method for generating a bait set comprising (a) identifying one or more regions of a genome, said regions associated with a nucleosome profile, and (b) selecting a bait set to selectively capture said regions. In an embodiment, a bait set in a bait set panel selectively enriches for one or more nucleosome-associated regions in a cell-free deoxyribonucleic acid sample. 
     In another aspect, the present disclosure provides a bait panel comprising a first bait set that selectively hybridizes to a first set of genomic regions of a nucleic acid sample comprising a predetermined amount of DNA, which is provided at a first concentration ratio that is less than a saturation point of the first bait set; and a second bait set that selectively hybridizes to a second set of genomic regions of the nucleic acid sample, which is provided at a second concentration ratio that is associated with a saturation point of the second bait set. In an embodiment, the first set of genomic regions comprises one or more backbone genomic regions and the second set of genomic regions comprises one or more hotspot genomic regions. 
     In another aspect, the present disclosure provides a method for enriching for multiple genomic regions comprising bringing a predetermined amount of a nucleic acid sample in contact with a bait panel comprising (i) a first bait set that selectively hybridizes to a first set of genomic regions of the nucleic acid sample, provided at a first concentration ratio that is less than a saturation point of the first bait set, and (ii) a second bait set that selectively hybridizes to a second set of genomic regions of the nucleic acid sample, provided at a second concentration ratio that is associated with a saturation point of the second bait set; and enriching the nucleic acid sample for the first set of genomic regions and the second set of genomic regions. 
     In some embodiments, the method further comprises sequencing the enriched nucleic acids to produce sequence reads of the first set of genomic regions and the second set of genomic regions. 
     In some embodiments, the saturation point of a bait set is determined by (a) for each of the baits in the bait set, generating a titration curve comprising (i) measuring the capture efficiency of the bait as a function of the concentration of the bait, and (ii) identifying an inflection point within the titration curve, thereby identifying a saturation point associated with the bait; and (b) selecting a saturation point that is larger than substantially all of the saturation points associated with baits in the bait set, thereby determining the saturation point of the bait set. 
     In some embodiments, the capture efficiency of a bait is determined by (a) providing a plurality of nucleic acid samples obtained from a plurality of subjects in a cohort; (b) hybridizing the bait with each of the nucleic acid samples, at each of a plurality of concentrations of the bait; (c) enriching with the bait, a plurality of genomic regions of the nucleic acid samples, at each of the plurality of concentrations of the bait; and (d) measuring number of unique nucleic acid molecules or nucleic acid molecules with representation of both strands of an original double-stranded nucleic acid molecule representing the capture efficiency at each of the plurality of concentrations of the bait. 
     In some embodiments, an inflection point is a first concentration of the bait such that observed capture efficiency does not increase significantly at concentrations of the bait greater than the first concentration. An inflection point may be a first concentration of the bait such that an observed increase between (1) the capture efficiency at a bait concentration of twice the first concentration compared to (2) the capture efficiency at the first bait concentration, is less than about 1%, less than about 2%, less than about 3%, less than about 4%, less than about 5%, less than about 6%, less than about 7%, less than about 8%, less than about 9%, less than about 10%, less than about 12%, less than about 14%, less than about 16%, less than about 18%, or less than about 20%. 
     In some embodiments, the nucleic acid sample comprises a cell-free nucleic acid sample. In an embodiment, a method for enriching for multiple genomic regions further comprises sequencing the enriched nucleic acid sample to produce a plurality of sequence reads. In an embodiment, a method for enriching for multiple genomic regions further comprises producing an output comprising a nucleic acid sequence representative of the nucleic acid sample. 
     In another aspect, the present disclosure provides a bait panel comprising a first set that selectively captures backbone regions of a genome, said backbone regions associated with a ranking function of sequencing load and utility, wherein the ranking function of each backbone region has a value less than a predetermined threshold value; and a second bait set that selectively captures hotspot regions of a genome, said hotspot regions associated with a ranking function of sequencing load and utility, wherein the ranking function of each hotspot region has a value greater than or equal to the predetermined threshold value. 
     In some embodiments, the hotspot regions comprise one or more nucleosome informative regions, said nucleosome informative regions comprising a region of maximum nucleosome differentiation. In an embodiment, the bait panel further comprises a second bait set that selectively captures disease informative regions. In an embodiment, the baits in the first bait set are at a first relative concentration to the bait panel, and the baits in the second bait set are at a second relative concentration to the bait panel. 
     In another aspect, the present disclosure provides a method for generating a bait set comprising identifying one or more backbone genomic regions of interest, wherein the identifying the one or more backbone genomic regions comprises maximizing a ranking function of sequencing load and utility associated with each of the backbone genomic regions; identifying one or more hot-spot genomic regions of interest; creating a first bait set that selectively captures the backbone genomic regions of interest; and creating a second bait set that selectively captures the hot-spot genomic regions of interest, wherein the second bait set has a higher capture efficiency than the first bait set. 
     In some embodiments, the one or more hot-spots are selected using one or more of the following: (i) maximizing a ranking function of sequencing load and utility associated with each of the hot-spot genomic regions, (ii) nucleosome profiling across the one or more genomic regions of interest, (iii) predetermined cancer driver mutations or prevalence across a relevant patient cohort, and (iv) empirically identified cancer driver mutations. 
     In some embodiments, identifying one or more hotspots of interest comprises using a programmed computer processor to rank a set of hot-spot genomic regions based on a ranking function of sequencing load and utility associated with each of the hot-spot genomic regions. In some embodiments, identifying the one or more backbone genomic regions of interest comprises ranking a set of backbone genomic regions based on a ranking function of sequencing load and utility associated with each of the backbone genomic regions of interest. In some embodiments, identifying the one or more hot-spot genomic regions of interest comprises utilizing a set of empirically determined minor allele frequency (MAF) values or clonality of a variant measured by its MAF in relationship to the highest presumed driver or clonal mutation in a sample. 
     In some embodiments, sequencing load of a genomic region is calculated by multiplying together one or more of (i) size of the genomic region in base pairs, (ii) relative fraction of reads spent on sequencing fragments mapping to the genomic region, (iii) relative coverage as a result of sequence bias of the genomic region, (iv) relative coverage as a result of amplification bias of the genomic region, and (v) relative coverage as a result of capture bias of the genomic region. 
     In some embodiments, utility of a genomic region is calculated by multiplying together one or more of (i) frequency of one or more actionable mutations in the genomic region, (ii) frequency of one or more mutations associated with above-average minor allele frequencies (MAFs) in the genomic region, (iii) fraction of patients in a cohort harboring a somatic mutation within the genomic region, (iv) sum of MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, and (v) ratio of (1) MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, to (2) maximum MAF for a given patient in the cohort. 
     In some embodiments, actionable mutations comprise one or more of (i) druggable mutations, (ii) mutations for therapeutic monitoring, (iii) disease specific mutations, (iv) tissue specific mutations, (v) cell type specific mutations, (vi) resistance mutations, and (vii) diagnostic mutations. In an embodiment, mutations associated with higher minor allele frequencies comprise one or more driver mutations or are known from external data or annotation sources. 
     In another aspect, the present disclosure provides a bait panel comprising a plurality of bait sets, each bait set (i) comprising one or more baits that selectively capture one or more genomic regions with utility in the same quantile across the plurality of baits, and (ii) having a different relative concentration from each of the other bait sets with utility in a different quantile across the plurality of baits. 
     In another aspect, the present disclosure provides a method of selecting a set of panel blocks comprising (a) for each panel block, (i) calculating a utility of the panel block, (ii) calculating a sequencing load of the panel block, and (iii) calculating a ranking function of the panel block; and (b) performing an optimization process to select a set of panel blocks that maximizes the total ranking function values of the selected panel blocks. 
     In some embodiments, a ranking function of a panel block is calculated as the utility of a panel block divided by the sequencing load of a panel block. In some embodiments, the combinatorial optimization process comprises a greedy algorithm. 
     In another aspect, the present disclosure provides a method comprising (a) providing a plurality of bait mixtures, wherein each bait mixture comprises a first bait set that selectively hybridizes to a first set of genomic regions and a second bait set that selectively hybridizes to a second genomic region, and wherein the bait mixtures comprise the first bait set at different concentrations and the second bait set at the same concentrations; (b) contacting each bait mixture with a nucleic acid sample to capture nucleic acid from the sample with the bait sets, wherein the nucleic acid samples have a nucleic acid concentration around the saturation point of the second bait set; (c) sequencing the nucleic acids captured with each bait mixture to produce sets of sequence reads; (d) determining the relative number of sequence reads for the first set of genomic regions and the second set of genomic regions for each bait mixture; and (e) identifying at least one bait mixture that provides read depths for the second set of genomic regions and, optionally, first set of genomic regions, at predetermined amounts. 
     In another aspect, the present disclosure provides a method for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject, which plurality of sequence reads are generated by nucleic acid sequencing, comprising (a) for each of the plurality of sequence reads associated with the cell-free DNA molecules, providing: a predetermined expectation of an indel being detected in one or more sequence reads of the plurality of sequence reads; a predetermined expectation that a detected indel is a true indel present in a given cell-free DNA molecule of the cell-free DNA molecules, given that an indel has been detected in the one or more of the sequence reads; and a predetermined expectation that a detected indel is introduced by non-biological error, given that an indel has been detected in the one or more of the sequence reads; (b) providing quantitative measures of one or more model parameters characteristic of sequence reads generated by nucleic acid sequencing; (c) detecting one or more candidate indels in the plurality of sequence reads associated with the cell-free DNA molecules; and (d) for each candidate indel, performing a hypothesis test using one or more of the model parameters to classify said candidate indel as a true indel or an introduced indel, thereby improving accuracy of detecting an indel. 
     In another aspect, the present disclosure provides a kit comprising (a) a sample comprising a predetermined amount of DNA; and (b) a bait set panel comprising (i) a first bait set that selectively hybridizes to a first set of genomic regions of a nucleic acid sample comprising a predetermined amount of DNA, provided at a first concentration ratio that is less than a saturation point of the first bait set and (ii) a second bait set that selectively hybridizes to a second set of genomic regions of the nucleic acid sample, provided at a second concentration ratio that is associated with a saturation point of the second bait set. 
     In some embodiments, the method for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject further comprises enriching one or more loci from the cell-free DNA in the bodily sample before step (a), thereby producing enriched polynucleotides. 
     In some embodiments, the method further comprises amplifying the enriched polynucleotides to produce families of amplicons, wherein each family comprises amplicons originating from a single strand of the cell-free DNA molecules. In some embodiments, the non-biological error comprises error in sequencing at a plurality of genomic base locations. In some embodiments, the non-biological error comprises error in amplification at a plurality of genomic base locations. 
     In some embodiments, model parameters comprise one or more of (e.g., one or more of, two or more of, three or more of, or four of) (i) for each of one or more variant alleles, a frequency of the variant allele (α) and a frequency of non-reference alleles other than the variant allele (α′); (ii) a frequency of an indel error in the entire forward strand of a family of strands (β 1 ), wherein a family comprises a collection of amplicons originating from a single strand of the cell-free DNA molecules; (iii) a frequency of an indel error in the entire reverse strand of a family of strands (β 2 ); and (iv) a frequency of an indel error in a sequence read (γ). 
     In some embodiments, the step of performing a hypothesis test comprises performing a multi-parameter maximization algorithm. In some embodiments, the multi-parameter maximization algorithm comprises a Nelder-Mead algorithm. In an embodiment, the classifying of a candidate indel as a true indel or an introduced indel comprises (a) maximizing a multi-parameter likelihood function, (b) classifying a candidate indel as a true indel if the maximum likelihood function value is greater than a predetermined threshold value, and (c) classifying a candidate indel as an introduced indel if the maximum likelihood function value is less than or equal to a predetermined threshold value. 
     In another aspect, the present disclosure provides a non-transitory computer-readable medium comprising machine executable code that, upon execution by one or more computer processors, implements a method for generating a bait set comprises identifying one or more backbone genomic regions of interest, wherein the identifying the one or more backbone genomic regions comprises maximizing a ranking function of sequencing load and utility associated with each of the backbone genomic regions; identifying one or more hot-spot genomic regions of interest; creating a first bait set that selectively captures the backbone genomic regions of interest; and creating a second bait set that selectively captures the hot-spot genomic regions of interest, wherein the second bait set has a higher capture efficiency than the first bait set. 
     In another aspect, the present disclosure provides a non-transitory computer-readable medium comprising machine executable code that, upon execution by one or more computer processors, implements a method of selecting a set of panel blocks comprises (a) for each panel block, (i) calculating a utility of the panel block, (ii) calculating a sequencing load of the panel block, and (iii) calculating a ranking function of the panel block; and (b) performing an optimization process to select a set of panel blocks that maximizes the total ranking function values of the selected panel block. 
     In another aspect, the present disclosure provides a non-transitory computer-readable medium comprising machine executable code that, upon execution by one or more computer processors, implements a method for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject, which plurality of sequence reads are generated by nucleic acid sequencing, comprises (a) for each of the plurality of sequence reads associated with the cell-free DNA molecules, providing: a predetermined expectation of an indel being detected in one or more sequence reads of the plurality of sequence reads; a predetermined expectation that a detected indel is a true indel present in a given cell-free DNA molecule of the cell-free DNA molecules, given that an indel has been detected in the one or more of the sequence reads; and a predetermined expectation that a detected indel is introduced by non-biological error, given that an indel has been detected in the one or more of the sequence reads; (b) providing quantitative measures of one or more model parameters characteristic of sequence reads generated by nucleic acid sequencing; (c) detecting one or more candidate indels in the plurality of sequence reads associated with the cell-free DNA molecules; and (d) for each candidate indel, performing a hypothesis test using one or more of the model parameters to classify said candidate indel as a true indel or an introduced indel, thereby improving accuracy of detecting an indel. 
     In another aspect, the present disclosure provides a method for enriching for multiple genomic regions, comprising: (a) bringing a predetermined amount of nucleic acid from a sample in contact with a bait mixture comprising (i) a first bait set that selectively hybridizes to a first set of genomic regions of the nucleic acid sample, which first bait set is provided at a first concentration that is less than a saturation point of the first bait set, and (ii) a second bait set that selectively hybridizes to a second set of genomic regions of the nucleic acid sample, which second bait set is provided at a second concentration that is associated with a saturation point of the second bait set; and (b) enriching the nucleic acid sample for the first set of genomic regions and the second set of genomic regions. 
     In some embodiments, the second bait set has a saturation point that is larger than substantially all of the saturation points associated with baits in the second bait set when a bait of the second bait set is subjected to a titration curve generated by (i) measuring the capture efficiency of a bait of the second bait set as a function of the concentration of the bait, and (ii) identifying an inflection point within the titration curve, thereby identifying a saturation point associated with the bait. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 20% at a concentration of the bait twice that of the first concentration. 
     In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 10% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 5% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 2% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 1% at a concentration of the bait twice that of the first concentration. 
     In some embodiments, the first bait set or the second bait set selectively enrich for one or more nucleosome-associated regions of a genome, said nucleosome-associated regions comprising genomic regions having one or more genomic base positions with differential nucleosomal occupancy, wherein the differential nucleosomal occupancy is characteristic of a cell or tissue type of origin or disease state. In some embodiments, the nucleic acid sample comprises a cell-free nucleic acid sample. In some embodiments, the method further comprises: (c) sequencing the enriched nucleic acid sample to produce a plurality of sequence reads. In some embodiments, the method further comprises: (d) producing an output comprising a nucleic acid sequence representative of the nucleic acid sample. 
     In another aspect, the present disclosure provides a method for generating a bait set comprising: (a) identifying one or more predetermined backbone genomic regions, wherein the identifying the one or more backbone genomic regions comprises maximizing a ranking function of sequencing load and utility associated with each of the backbone genomic regions; (b) identifying one or more predetermined hot-spot genomic regions, wherein the one or more hot-spots are selected using one or more of the following: (i) maximizing a ranking function of sequencing load and utility associated with each of the hot-spot genomic regions, (ii) nucleosome profiling across the one or more predetermined genomic regions, (iii) predetermined cancer driver mutations or prevalence across a relevant patient cohort, and (iv) empirically identified cancer driver mutations; (c) creating a first bait set that selectively captures the predetermined backbone genomic regions; and (d) creating a second bait set that selectively captures the predetermined hotspot genomic regions, wherein the second bait set has a higher capture efficiency than the first bait set. In some embodiments, a predetermined region (e.g., a predetermined backbone region or a predetermined hotspot region) is a region of interest (e.g., a backbone region of interest or a hotspot region of interest, respectively). 
     In some embodiments, the identifying the one or more predetermined hotspots comprises using a programmed computer processor to rank a set of hotspot genomic regions based on a ranking function of sequencing load and utility associated with each of the hotspot genomic regions. In some embodiments, the identifying the one or more predetermined backbone genomic regions comprises: (i) ranking a set of backbone genomic regions based on a ranking function of sequencing load and utility associated with each of the predetermined backbone genomic regions; (ii) utilizing a set of empirically determined minor allele frequency (MAF) values or clonality of a variant measured by its MAF in relationship to the highest presumed driver or clonal mutation in a sample; or (iii) a combination of (i) and (ii). 
     In some embodiments, the sequencing load of a genomic region is calculated by multiplying together one or more of: (i) size of the genomic region in base pairs, (ii) relative fraction of reads spent on sequencing fragments mapping to the genomic region, (iii) relative coverage as a result of sequence bias of the genomic region, (iv) relative coverage as a result of amplification bias of the genomic region, and (v) relative coverage as a result of capture bias of the genomic region. In some embodiments, the utility of a genomic region is calculated by multiplying together one or more of: (i) frequency of one or more actionable mutations in the genomic region, (ii) frequency of one or more mutations associated with above-average minor allele frequencies (MAFs) in the genomic region, (iii) fraction of patients in a cohort harboring a somatic mutation within the genomic region, (iv) sum of MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, and (v) ratio of (1) MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, to (2) maximum MAF for a given patient in the cohort. 
     In some embodiments, the actionable mutations comprise one or more of: (i) druggable mutations, (ii) mutations for therapeutic monitoring, (iii) disease specific mutations, (iv) tissue specific mutations, (v) cell type specific mutations, (vi) resistance mutations, and (vii) diagnostic mutations. In some embodiments, the mutations associated with higher minor allele frequencies comprise one or more driver mutations or are known from external data or annotation sources. 
     In another aspect, the present disclosure provides a method comprising: (a) providing a plurality of bait mixtures, wherein each bait mixture comprises a first bait set that selectively hybridizes to a first set of genomic regions and a second bait set that selectively hybridizes to a second set of genomic regions, and wherein the bait mixtures comprise the first bait set at different concentrations and the second bait set at the same concentrations; (b) contacting each bait mixture with a nucleic acid sample to capture nucleic acid from the sample with the bait sets, wherein the second bait set in each mixture is provided at a concentration that is at or above a saturation point of the second bait set, wherein nucleic acid from the sample is captured by the bait sets; (c) sequencing a portion of the nucleic acids captured with each bait mixture to produce sets of sequence reads within an allocated number of sequence reads; (d) determining the read depth of sequence reads for the first bait set and the second bait set for each bait mixture; and (e) identifying at least one bait mixture that provides read depths for the second set of genomic regions; wherein the read depths for the second set of genomic regions provides a sensitivity of detecting of at least 0.0001%. 
     In some embodiments, the second bait set has a saturation point when subjected to titration, which titration comprises: generating a titration curve comprising: (i) measuring the capture efficiency of the second bait set as a function of the concentration of the baits; and (ii) identifying an inflection point within the titration curve, thereby identifying a saturation point associated with the second bait set. 
     In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 20% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 10% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 5% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 2% at a concentration of the bait twice that of the first concentration. In some embodiments, the saturation point is selected such that an observed capture efficiency increases by less than 1% at a concentration of the bait twice that of the first concentration. 
     In some embodiments, the first bait set or the second bait set selectively enrich for one or more nucleosome-associated regions of a genome, said nucleosome-associated regions comprising genomic regions having one or more genomic base positions with differential nucleosomal occupancy, wherein the differential nucleosomal occupancy is characteristic of a cell or tissue type of origin or disease state. In some embodiments, the first set of genomic regions or the second genomic regions comprises one or more actionable mutations, wherein the one or more actionable mutations comprise one or more of: (i) druggable mutations, (ii) mutations for therapeutic monitoring, (iii) disease specific mutations, (iv) tissue specific mutations, (v) cell type specific mutations, (vi) resistance mutations, and (vii) diagnostic mutations. 
     In some embodiments, the first and second genomic regions comprise at least a portion of each of at least 5 genes selected from Table 1. In some embodiments, the first and second genomic regions have a size between about 25 kilobases to 1,000 kilobases and a read depth of between 1,000 counts/base and 50,000 counts/base. 
     Additional aspects and advantages of the present disclosure will become readily apparent to those skilled in this art from the following detailed description, wherein only illustrative embodiments of the present disclosure are shown and described. As will be realized, the present disclosure is capable of other and different embodiments, and its several details are capable of modifications in various obvious respects, all without departing from the disclosure. Accordingly, the drawings and description are to be regarded as illustrative in nature, and not as restrictive. 
     INCORPORATION BY REFERENCE 
     All publications, patents, and patent applications mentioned in this specification are herein incorporated by reference to the same extent as if each individual publication, patent, or patent application was specifically and individually indicated to be incorporated by reference. To the extent publications and patents or patent applications incorporated by reference contradict the disclosure contained in the specification, the specification is intended to supersede and/or take precedence over any such contradictory material. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The novel features of the disclosure are set forth with particularity in the appended claims. A better understanding of the features and advantages of the present disclosure will be obtained by reference to the following detailed description that sets forth illustrative embodiments, in which the principles of the disclosure are utilized, and the accompanying drawings (also “Figure” and “FIG.” herein), of which: 
         FIG. 1  illustrates how a plurality of reads may be generated for each locus enriched from a cell-free nucleic acid sample. 
         FIG. 2  illustrates the various parameters that may be used in a hypothesis test and how each parameter may be related to a particular probability, e.g., of a family of reads matching a reference, of a strand&#39;s reads matching a reference, and of a read matching a reference.  FIG. 2  discloses SEQ ID NOS 1-5, respectively, in order of appearance. 
         FIG. 3  illustrates an example of small families of reads (which may appear to provide evidence for a real variant) and large families of reads (which may indicate a likely random error stemming from PCR or sequencing.  FIG. 3  discloses SEQ ID NOS 6-11, respectively, in order of appearance. 
         FIG. 4  illustrates an example of an insertion being supported by a large family. 
         FIG. 5  illustrates an example of a computer system that may be programmed or otherwise configured to implement methods of the present disclosure. 
         FIG. 6  illustrates an exemplary saturation curve showing unique molecule count on the y-axis as a function of input bait amount on the x-axis. 
     
    
    
     DETAILED DESCRIPTION 
     While various embodiments of the invention have been shown and described herein, it will be obvious to those skilled in the art that such embodiments are provided by way of example only. Numerous variations, changes, and substitutions may occur to those skilled in the art without departing from the invention. It should be understood that various alternatives to the embodiments of the invention described herein may be employed. 
     The term “genetic variant,” as used herein, generally refers to an alteration, variant or polymorphism in a nucleic acid sample or genome of a subject. Such alteration, variant or polymorphism can be with respect to a reference genome, which may be a reference genome of the subject or other individual. Single nucleotide polymorphisms (SNPs) are a form of polymorphisms. In some examples, one or more polymorphisms comprise one or more single nucleotide variations (SNVs), insertions, deletions, repeats, small insertions, small deletions, small repeats, structural variant junctions, variable length tandem repeats, and/or flanking sequences. Copy number variants (CNVs), transversions and other rearrangements are also forms of genetic variation. A genomic alternation may be a base change, insertion, deletion, repeat, copy number variation, or transversion. 
     The term “polynucleotide,” as used herein, generally refers to a molecule comprising one or more nucleic acid subunits. A polynucleotide can include one or more subunits selected from adenosine (A), cytosine (C), guanine (G), thymine (T) and uracil (U), or variants thereof. A nucleotide can include A, C, G, T or U, or variants thereof. A nucleotide can include any subunit that can be incorporated into a growing nucleic acid strand. Such subunit can be an A, C, G, T, or U, or any other subunit that is specific to one or more complementary A, C, G, T or U, or complementary to a purine (i.e., A or G, or variant thereof) or a pyrimidine (i.e., C, T or U, or variant thereof). A subunit can enable individual nucleic acid bases or groups of bases (e.g., AA, TA, AT, GC, CG, CT, TC, GT, TG, AC, CA, or uracil-counterparts thereof) to be resolved. In some examples, a polynucleotide is deoxyribonucleic acid (DNA) or ribonucleic acid (RNA), or derivatives thereof. A polynucleotide can be single-stranded or double stranded. 
     A polynucleotide can comprise any type of nucleic acids, such as DNA and/or RNA. For example, if a polynucleotide is DNA, it can be genomic DNA, complementary DNA (cDNA), or any other deoxyribonucleic acid. A polynucleotide can also be cell-free DNA (cfDNA). For example, the polynucleotide can be circulating DNA. The circulating DNA can comprise circulating tumor DNA (ctDNA). A polynucleotide can be double-stranded or single-stranded. Alternatively, a polynucleotide can comprise a combination of a double-stranded portion and a single-stranded portion. 
     Polynucleotides do not have to be cell-free. In some cases, the polynucleotides can be isolated from a sample. A sample can be any biological sample isolated from a subject. For example, a sample can comprise, without limitation, bodily fluid, whole blood, platelets, serum, plasma, stool, red blood cells, white blood cells or leucocytes, endothelial cells, tissue biopsies, synovial fluid, lymphatic fluid, ascites fluid, interstitial or extracellular fluid, the fluid in spaces between cells, including gingival crevicular fluid, bone marrow, cerebrospinal fluid, saliva, mucous, sputum, semen, sweat, urine, or any other bodily fluids. A bodily fluid can include saliva, blood, or serum. For example, a polynucleotide can be cell-free DNA isolated from a bodily fluid, e.g., blood or serum. A sample can also be a tumor sample, which can be obtained from a subject by various approaches, including, but not limited to, venipuncture, excretion, ejaculation, massage, biopsy, needle aspirate, lavage, scraping, surgical incision, or intervention or other approaches. 
     The polynucleotides can comprise sequences associated with cancer, such as acute lymphoblastic leukemia (ALL), acute myeloid leukemia (AML), adrenocortical carcinoma, Kaposi Sarcoma, anal cancer, basal cell carcinoma, bile duct cancer, bladder cancer, bone cancer, osteosarcoma, malignant fibrous histiocytoma, brain stem glioma, brain cancer, craniopharyngioma, ependymoblastoma, ependymoma, medulloblastoma, medulloeptithelioma, pineal parenchymal tumor, breast cancer, bronchial tumor, Burkitt lymphoma, Non-Hodgkin lymphoma, carcinoid tumor, cervical cancer, chordoma, chronic lymphocytic leukemia (CLL), chronic myelogenous leukemia (CML), colon cancer, colorectal cancer, cutaneous T-cell lymphoma, ductal carcinoma in situ, endometrial cancer, esophageal cancer, Ewing Sarcoma, eye cancer, intraocular melanoma, retinoblastoma, fibrous histiocytoma, gallbladder cancer, gastric cancer, glioma, hairy cell leukemia, head and neck cancer, heart cancer, hepatocellular (liver) cancer, Hodgkin lymphoma, hypopharyngeal cancer, kidney cancer, laryngeal cancer, lip cancer, oral cavity cancer, lung cancer, non-small cell carcinoma, small cell carcinoma, melanoma, mouth cancer, myelodysplastic syndromes, multiple myeloma, medulloblastoma, nasal cavity cancer, paranasal sinus cancer, neuroblastoma, nasopharyngeal cancer, oral cancer, oropharyngeal cancer, osteosarcoma, ovarian cancer, pancreatic cancer, papillomatosis, paraganglioma, parathyroid cancer, penile cancer, pharyngeal cancer, pituitary tumor, plasma cell neoplasm, prostate cancer, rectal cancer, renal cell cancer, rhabdomyo sarcoma, salivary gland cancer, Sezary syndrome, skin cancer, nonmelanoma, small intestine cancer, soft tissue sarcoma, squamous cell carcinoma, testicular cancer, throat cancer, thymoma, thyroid cancer, urethral cancer, uterine cancer, uterine sarcoma, vaginal cancer, vulvar cancer, Waldenstrom macroglobulinemia, and/or Wilms Tumor. 
     A sample can comprise various amount of nucleic acid that contains genome equivalents. For example, a sample of about 30 ng DNA can contain about 10,000 (10 4 ) haploid human genome equivalents and, in the case of cfDNA, about 200 billion (2×10 11 ) individual polynucleotide molecules. Similarly, a sample of about 100 ng of DNA can contain about 30,000 haploid human genome equivalents and, in the case of cfDNA, about 600 billion individual molecules. 
     A sample can comprise nucleic acids from different sources. For example, a sample can comprise germline DNA or somatic DNA. A sample can comprise nucleic acids carrying mutations. For example, a sample can comprise DNA carrying germline mutations and/or somatic mutations. A sample can also comprise DNA carrying cancer-associated mutations (e.g., cancer-associated somatic mutations). 
     The term “subject,” as used herein, generally refers to an animal, such as a mammalian species (e.g., human) or avian (e.g., bird) species, or other organism, such as a plant. More specifically, the subject can be a vertebrate, a mammal, a mouse, a primate, a simian or a human. Animals include, but are not limited to, farm animals, sport animals, and pets. A subject can be a healthy individual, an individual that has or is suspected of having a disease or a pre-disposition to the disease, or an individual that is in need of therapy or suspected of needing therapy. A subject can be a patient. 
     The term “genome,” as used herein, generally refers to an entirety of an organism&#39;s hereditary information. A genome can be encoded either in DNA or in RNA. A genome can comprise coding regions that code for proteins as well as non-coding regions. A genome can include the sequence of all chromosomes together in an organism. For example, the human genome has a total of 46 chromosomes. The sequence of all of these together may constitute a human genome. A genome may comprise a diploid or a haploid genome. 
     The term “bait,” as used herein, generally refers to a target-specific oligonucleotide (e.g., a capture probe) designed and used to capture specific genomic regions of interest (e.g., targets, or predetermined genomic regions of interest). The bait may capture its intended targets by selectively hybridizing to complementary nucleic acids. 
     The term “bait panel” or “bait set panel,” as used herein, generally refers to a set of baits targeted toward a selected set of genomic regions of interest. A bait panel or bait set panel may be referred to as a bait mixture. The bait panel may capture its intended targets in a single selective hybridization step. 
     The term “accuracy,” of detecting a genetic variant (e.g., an indel), as used herein, generally refers to the percentage of candidate (e.g., detected) genetic variants detected through analysis of one or more sequence reads that are identified as a true genetic variant attributable to biological origin (e.g., not attributable to introduced error such as that stemming from sequencing or amplification error). The term “error rate,” of detecting a genetic variant (e.g., an indel), as used herein, generally refers to the percentage of candidate (e.g., detected) genetic variants detected through analysis of one or more sequence reads that are identified as an introduced genetic variant attributable to non-biological origin (e.g., sequencing or amplification error). For example, if analysis of one or more sequence reads identifies 100 candidate genetic variants, of which 90 are attributable to biological origin and 10 are attributed to non-biological origin, then this analysis has an accuracy of detecting the genetic variant of 90% and an error rate of 10%. 
     The term “about” and its grammatical equivalents in relation to a reference numerical value can include a range of values up to plus or minus 10% from that value. For example, the amount “about 10” can include amounts from 9 to 11. In other embodiments, the term “about” in relation to a reference numerical value can include a range of values plus or minus 10%, 9%, 8%, 7%, 6%, 5%, 4%, 3%, 2%, or 1% from that value. 
     The term “at least” and its grammatical equivalents in relation to a reference numerical value can include the reference numerical value and greater than that value. For example, the amount “at least 10” can include the value 10 and any numerical value above 10, such as 11, 100, and 1,000. 
     The term “at most” and its grammatical equivalents in relation to a reference numerical value can include the reference numerical value and less than that value. For example, the amount “at most 10” can include the value 10 and any numerical value under 10, such as 9, 8, 5, 1, 0.5, and 0.1. 
     The present disclosure provides methods and systems for multi-resolution analysis of cell-free nucleic acids (e.g., deoxyribonucleic acid (DNA)), wherein targeted genomic regions of interest may be enriched with capture probes (“baits”) selected for one or more bait set panels using a differential tiling and capture scheme. A differential tiling and capture scheme uses bait sets of different relative concentrations to differentially tile (e.g., at different “resolutions”) across genomic regions associated with baits, subject to a set of constraints (e.g., sequencer constraints such as sequencing load, utility of each bait, etc.), and capture them at a desired level for downstream sequencing. These targeted genomic regions of interest may include single-nucleotide variants (SNVs) and indels (i.e., insertions or deletions). The targeted genomic regions of interest may comprise backbone genomic regions of interest (“backbone regions”) or hot-spot genomic regions of interest (“hot-spot regions” or “hotspot regions” or “hot-spots” or “hotspots”). While “hotpots” can refer to particular loci associated with sequence variants, “backbone” regions can refer to larger genomic regions, each of which can have one or more potential sequence variants. For example, a backbone region can be a region containing one or more cancer-associated mutations, while a hotspot can be a locus with a particular mutation associated with recurring cancer. Both backbone and hot-spot genomic regions of interest may comprise tumor-relevant marker genes commonly included in liquid biopsy assays (e.g., BRAF, BRCA, EGFR, KRAS, PIK3CA, ROS1, TP53, and others), for which one or more variants may be expected to be seen in subjects with cancer. 
     Among the set of tumor-relevant marker genes that may be selected for inclusion in a bait set panel, hot-spot genomic regions of interest may be selected to be represented by a higher proportion of sequence reads compared to the backbone genomic regions of interest in the experimental protocol. This experimental protocol may comprise steps including isolation, amplification, capture, sequencing, and data analysis. The selection of regions as hot-spot regions or backbone regions may be driven by considerations such as the capture efficiency, sequencing load, and/or utility associated with each of the regions and their corresponding bait. Utility may be assessed by the clinical relevance (e.g., “clinical value”) of a genomic marker of interest (e.g., a tumor marker) toward a liquid biopsy assay, e.g., predetermined cancer driver mutations, genomic regions with prevalence across a relevant patient cohort, empirically identified cancer driver mutations, or nucleosome-associated genomic regions. For example, utility can be measured by a metric representative of expected yield of actionable and/or disease-associated genetic variants in detection or contribution toward determining tissue of origin or disease state of a sample. Utility may be a monotonically increasing function of clinical value. 
     Given that each sequencing run of a given sample of cell-free nucleic acids is typically limited by a certain total number of reads, a multi-resolution analysis approach to generate a bait set panel that preferentially enriches “hot-spot regions” as compared to backbone regions will enable efficient use of sequencing reads for genetic variant detection for cancer detection and assessment applications, by focusing sequencing at higher read depths for hot-spot regions over backbone regions. Using this approach may enable the improvement of a sample assay, given a limited or constrained sequencing load (e.g., number of sequenced reads per sample assayed), such that greater number of clinically actionable genetic variants may be detected per sample assay compared to an un-optimized sample assay. 
     The present disclosure provides methods for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject, which plurality of sequence reads are generated by nucleic acid sequencing. For each of the plurality of sequence reads associated with cfDNA molecules, a candidate indel may be identified. Each candidate indel may then be classified as either a true indel or an introduced indel, using a combination of predetermined expectations of (i) an indel being detected in one or more sequence reads of the plurality of sequence reads, (ii) that a detected indel is a true indel present in a given cfDNA molecule of the cell-free DNA molecules, given that an indel has been detected in the one or more of the sequence reads, and/or (iii) that a detected indel is introduced by non-biological error, given that an indel has been detected in the one or more of the sequence reads, in conjunction with one or more model parameters to perform a hypothesis test. This approach may reduce error and improve accuracy of detecting an indel from sequence read data. 
     INTRODUCTION 
     One embodiment of multi-resolution analysis proceeds as follows. Regions of a genome are selected for sequencing. These regions may be collectively referred to as a panel or a panel block. The panel is divided into a first set of genomic regions and a second set of genomic regions. The first set of genomic regions may be referred to as the backbone region, while the second set of may be referred to as the hotspot regions. These regions may be divided between genes or within genes or outside genes as desired by the practitioner. For example, an exon of a gene may be divided into portions allocated to the hotspot region and portions allocated to the backbone region. 
     A first bait set and a second bait set are prepared which selectively hybridize to the first genomic regions and the second genomic regions, respectively. Using methods described herein, e.g., preparation of titration curves, bait set concentrations are determined which, for a test sample having a predetermined amount of DNA, capture DNA in the sample at a saturation point (for the bait set directed to the hotspot regions) and below the saturation point (for the bait set directed to the backbone regions). Capturing DNA molecules from a sample at the saturation point contributes to detecting genetic variants at the highest level of sensitivity because molecules genetic variants are more likely to be captured. 
     The amount of sequencing data that can be obtained from a sample is finite, and constrained by such factors as the quality of nucleic acid templates, number of target sequences, scarcity of specific sequences, limitations in sequencing techniques, and practical considerations such as time and expense. Thus, a “read budget” is a way to conceptualize the amount of genetic information that can be extracted from a sample. A per-sample read budget can be selected that identifies the total number of base reads to be allocated to a test sample comprising a predetermined amount of DNA in a sequencing experiment. The read budget can be based on total reads produced, e.g., including redundant reads produced through amplification. Alternatively, it can be based on number of unique molecules detected in the sample. In certain embodiments read budget can reflect the amount of double-stranded support for a call at a locus. That is, the percentage of loci for which reads from both strands of a DNA molecule are detected. 
     Factors of a read budget include read depth and panel length. For example, a read budget of 3,000,000,000 reads can be allocated as 150,000 bases at an average read depth of 20,000 reads/base. Read depth can refer to number of molecules producing a read at a locus. In the present disclosure, the reads at each base can be allocated between bases in the backbone region of the panel, at a first average read depth and bases in the hotspot region of the panel, at a deeper read depth. 
     By way of non-limiting example, if a read budget consists of 100,000 read counts for a given sample, those 100,000 read counts will be divided between reads of backbone regions and reads of hotspot regions. Allocating a large number of those reads (e.g., 90,000 reads) to backbone regions will result in a small number of reads (e.g., the remaining 10,000 reads) being allocated to hotspot regions. Conversely, allocating a large number of reads (e.g., 90,000 reads) to hotspot regions will result in a small number of reads (e.g., the remaining 10,000 reads) being allocated to backbone regions. Thus, a skilled worker can allocate a read budget to provide desired levels of sensitivity and specificity. In certain embodiments, the read budget can be between 100,000,000 reads and 100,000,000,000 reads, e.g., between 500,000,000 reads and 50,000,000,000 reads, or between about 1,000,000,000 reads and 5,000,000,000 reads across, for example, 20,000 bases to 100,000 bases. 
     First and second sensitivity levels are selected for detection of genetic variants in the backbone and hotspot regions, respectively. Sensitivity, as used herein, refers to the detection limit of a genetic variant as a function of frequency in a sample. For example, the sensitivity may be at least 1%, at least 0.1%, at least 0.01%, at least 0.001%, at least 0.0001% or at least 0.00001%, meaning that a given sequence can be detected in a sample at a frequency of at least 1%, at least 0.1%, at least 0.01%, at least 0.001%, at least 0.0001% or at least 0.00001%, respectively. That is, genetic variants present in the sample at the levels are detectable by sequencing. Typically, sensitivity selected for hotspot regions will be higher than sensitivity selected backbone regions. For example, the sensitivity level for hotspot regions may be selected at at least 0.001%, while the sensitivity level for background regions may be selected at at least 0.1% or at least 1%. 
     The relative concentrations of bait sets directed to background regions and hotspot regions can be selected to optimize reads in a sequencing experiment with respect to selected read budget and selected sensitivities for the backbone and hotspot regions for a selected sample. So, for example, given a test sample containing a predetermined amount of DNA, and a hotspot bait set that captures DNA for the hotspot regions at saturation, an amount of backbone bait set that is below saturation for the sample is selected such that in a sequencing experiment producing reads within the selected read budget, the resultant read set detects genetic variants in the hotspot regions and in the backbone regions at the preselected sensitivity levels. 
     The relative amounts of the bait sets is a function of several factors. One of these factors is the relative proportion of the panel allocated to the hotspot regions and to the backbone regions respectively. The larger the relative percentage of hotspot regions in the panel, the fewer the number of reads and the budget that can be allocated to the backbone region. Another factor is the selected sensitivity of detection for hotspot regions. For a given sample, the higher the sensitivity that is necessary for the hotspot regions, the lower sensitivity will be for the backbone region. Another factor is the read budget. For a sensitivity for the hotspot regions, the smaller the read budget, the lower the sensitivity possible for the backbone region. Another factor is the size of the overall panel. For any given read budget, the larger the panel, the more sensitivity of the backbone regions must be sacrificed to achieving desired sensitivity at the hotspot regions. 
     It will be evident that for any given read budget, increasing the percentage of reads allocated to the backbone regions will decrease the sensitivity of detection at the hotspot regions. Conversely, increasing the sensitivity of detection at the hotspot regions, by increasing the amount of the read budget allocated to hotspot regions, decreases the detection of the backbone regions. Accordingly, the relative sensitivity levels of hotspot regions can be high enough to achieve targeted detection levels, while sensitivity level at backbone regions are not so low such that meaningful levels of genetic variants are missed. These relative levels are selected by the practitioner to achieve the desired results. In some embodiments, the skilled worker will use a bait mixture calculated to capture all (or substantially all) hotspot regions in a sample and a portion of the backbone regions, such that the read depth of the captured regions will provide desired hotspot and backbone sensitivities. 
     Nucleosome-Associated Genomic Regions 
     In an aspect, a bait set panel may comprise one or more bait sets that selectively enrich for one or more nucleosome-associated regions of a genome. Nucleosome-associated regions may comprise genomic regions having one or more genomic base positions with differential nucleosomal occupancy. Differential nucleosomal occupancy may be characteristic of a cell or tissue type of origin or disease state. Analysis of differential nucleosomal occupancy may be performed using one or more nucleosomal occupancy profiles of a given cell or tissue type. Examples of nucleosomal occupancy profiling techniques include Statham et al., Genomics Data, Volume 3, March 2015, Pages 94-96 (2015), which is entirely incorporated herein by reference. Cell-free nucleic acids in a sample obtained from a subject may be primarily shed through a combination of apoptotic and necrotic processes in cells, tissues, and organs. As a result of variable nucleosomal occupancy and protection against DNA cleavage in certain locations of a genome, nucleosomal patterns or profiles associated with apoptotic processes and necrotic processes may be evident from analyzing cell-free nucleic acid fragments for nucleosome-associated regions of a genome. 
     Detection of such nucleosome-associated patterns can be used, independently or in conjunction with detected somatic variants, to monitor a condition in a subject. For example, as a tumor expands, the ratio of necrosis to apoptosis in the tumor micro-environment may change. Such changes in necrosis and/or apoptosis can be detected by selectively enriching a cell-free nucleic acid sample for one or more nucleosome-associated regions. As another example, a distribution of fragment lengths may be observed due to differential nucleosomal protection across different cell types, or across tumor vs. non-tumor cells. Analysis of nucleosome-associated regions for fragment length distribution may be clinically relevant for cancer detection and assessment applications. This analysis may comprise selectively enriching for nucleosome-associated regions, then sequencing the enriched regions to produce a plurality of sequence reads representative of the nucleic acid sample, and analyzing the sequence reads for genetic variants and nucleosome profiles of interest. 
     Once nucleosome-associated regions have been identified, they may be used for modular panel design. Such modular panel design may allow for designs of a set of probes or baits that selectively enrich regions of the genome that are relevant for nucleosomal profiling. By incorporating this “nucleosomal awareness,” sequence data from many individuals can be gleaned to optimize the procedure of panel design, e.g., the determination of which genomic locations to target and the optimal concentration of probes for these genomic locations. 
     By incorporating knowledge of both somatic variations and structural variations and instability, panels of probes, baits or primers can be designed to target specific portions of the genome (“hotspots”) with known patterns or clusters of structural variation or instability. For example, statistical analysis of sequence data reveals a series of accumulated somatic events and structural variations, and thereby enables clonal evolution studies. The data analysis reveals important biological insights, including differential coverage across cohorts, patterns indicating the presence of certain subsets of tumors, foreign structural events in samples with high somatic mutation load, and differential coverage attributed from blood cells versus tumor cells. 
     A localized genomic region refers to a short region of the genome that may range in length from about 2 to about 200 base pairs, from about 2 to about 190 base pairs, from about 2 to about 180 base pairs, from about 2 to about 170 base pairs, from about 2 to about 160 base pairs, from about 2 to about 150 base pairs, from about 2 to about 140 base pairs, from about 2 to about 130 base pairs, from about 2 to about 120 base pairs, from about 2 to about 110 base pairs, from about 2 to about 100 base pairs, from about 2 to about 90 base pairs, from about 2 to about 80 base pairs, from about 2 to about 70 base pairs, from about 2 to about 60 base pairs, from about 2 to about 50 base pairs, from about 2 to about 40 base pairs, from about 2 to about 30 base pairs, from about 2 to about 20 base pairs, from about 2 to about 10 base pairs, or from about 2 to about 5 base pairs. Each localized genomic region may contain a pattern or cluster of significant structural variation or instability. Genome partitioning maps may be provided to identify relevant localized genomic regions. A localized genomic region may contain a pattern or cluster of significant structural variation or structural instability. A cluster may be a hotspot region within a localized genomic region. The hotspot region may contain one or more significant fluctuations or peaks. A structural variation is a variation in nucleosomal positioning. A structural variation may be selected from the group consisting of: an insertion, a deletion, a translocation, a gene re-arrangement, methylation status, a micro-satellite, a copy number variation, a copy number-related structural variation, or any other variation which indicates differentiation. 
     A genome partitioning map may be obtained by: (a) providing samples of cell-free DNA or RNA from two or more subjects in a cohort, (b) obtaining a plurality of sequence reads from each of the samples of cell-free DNA, and (c) analyzing the plurality of sequence reads to identify one or more localized genomic regions, each of which contains a pattern or cluster of significant structural variation or instability. Statistical analysis may be performed on sequence information to associate a set of sequence reads with one or more nucleosomal occupancy profiles representing distinct cohorts (e.g., a group of subjects with a common characteristic such as a disease state or a non-disease state). 
     The statistical analysis may comprise providing one or more genome partitioning maps listing relevant genomic intervals representative of genes of interest for further analysis. The statistical analysis may further comprise selecting a set of one or more localized genomic regions based on the genome partitioning maps. The statistical analysis may further comprise analyzing one or more localized genomic regions in the set to obtain a set of one or more nucleosomal map disruptions. The statistical analysis may comprise one or more of (e.g., one or more, two or more, or three of): pattern recognition, deep learning, and unsupervised learning. 
     A nucleosomal map disruption is a measured value that characterizes a given localized genomic region in terms of biologically relevant information. A nucleosomal map disruption may be associated with a driver mutation chosen from the group consisting of: wild-type, somatic variant, germline variant, and DNA methylation. 
     One or more nucleosomal map disruptions may be used to classify a set of sequence reads as being associated with one or more nucleosomal occupancy profiles representing distinct cohorts. These nucleosomal occupancy profiles may be associated with one or more assessments. An assessment may be considered as part of a therapeutic intervention (e.g., treatment options, selection of treatment, further assessment by biopsy and/or imaging). 
     An assessment may be selected from the group consisting of: indication, tumor type, tumor severity, tumor aggressiveness, tumor resistance to treatment, and tumor clonality. An assessment of tumor clonality may be determined from observing heterogeneity in nucleosomal map disruption across cell-free DNA molecules in a sample. An assessment of relative contributions of each of two or more clones is determined. 
     Each of the one or more nucleosome-associated regions of a bait set panel may comprise at least one of: (i) significant structural variation, comprising a variation in nucleosomal positioning, said structural variation selected from the group consisting of: an insertion, a deletion, a translocation, a gene rearrangement, methylation status, a micro-satellite, a copy number variation, a copy number-related structural variation, or any other variation which indicates differentiation; and (ii) instability, comprising one or more significant fluctuations or peaks in a genome partitioning map indicating one or more locations of nucleosomal map disruptions in a genome. The one or more bait sets of a bait set panel may be configured to capture nucleosome-associated regions of the genome based on a function of a plurality of reference nucleosomal occupancy profiles associated with one or more disease states and one or more non-disease states. 
     The one or more bait sets of a bait set panel may selectively enrich for one or more nucleosome-associated regions in a cell-free deoxyribonucleic acid (cfDNA) sample. For example, the bait set may selectively enrich for one or more nucleosome-associated regions by bringing a nucleic sample in contact with the bait set, and allowing the bait set to selectively hybridize to the set of nucleosome-associated genomic regions associated with the bait set. 
     In an aspect, a method for enriching a nucleic acid sample for nucleosome-associated regions of a genome may comprise (a) bringing a nucleic acid sample in contact with a bait set panel, said bait set panel comprising one or more bait sets that selectively enrich for one or more nucleosome-associated regions of a genome; and (b) enriching the nucleic acid sample for one or more nucleosome-associated regions of a genome. The one or more bait sets in a bait set panel may be configured to capture nucleosome-associated regions of the genome based on a function of a plurality of reference nucleosomal occupancy profiles associated with one or more disease states and one or more non-disease states. The plurality of reference nucleosomal occupancy profiles may serve as a “map” for which analysis may reveal patterns or clusters of genomic regions and/or locations which may be targeted for capture for nucleosome-associated variant detection. 
     The one or bait sets in a bait set panel may selectively enrich for the one or more nucleosome-associated regions in a cell-free deoxyribonucleic acid (cfDNA) sample. The method for enriching a nucleic acid sample for nucleosome-associated regions of a genome may further comprise sequencing the enriched nucleic acids to produce sequence reads of the nucleosome-associated regions of a genome. These sequence reads may be aligned to a reference genome and analyzed for nucleosome-associated and/or genetic variants (e.g., SNVs and/or indels). 
     In an aspect, a method for generating a bait set may comprise (a) identifying one or more regions of a genome, said regions associated with a nucleosome profile, and (b) selecting a bait set to selectively capture said regions. A bait set in a bait set panel may selectively enrich for one or more nucleosome-associated genomic regions in a cell-free deoxyribonucleic acid (cfDNA) sample. For example, the bait set may selectively enrich for one or more nucleosome-associated regions by bringing a nucleic sample in contact with the bait set, and allowing the bait set to selectively hybridize to the set of nucleosome-associated genomic regions associated with the bait set. 
     Bait Panels for Enrichment of Multiple Genomic Regions 
     In an aspect, a bait panel may comprise a first bait set that selectively hybridizes to a first set of genomic regions of a nucleic acid sample comprising a predetermined amount of DNA, wherein the first bait set may be provided at a first concentration ratio that is less than a saturation point of the first bait set; and a second bait set that selectively hybridizes to a second set of genomic regions of the nucleic acid sample, wherein the second bait set may be provided at a second concentration ratio that is associated with a saturation point of the second bait set. As used herein, a concentration associated with a saturation point can be at or above the saturation point. In some embodiments, a concentration associated with a saturation point is at or above a point that is 10% below the saturation point. The first set of genomic regions may comprise one or more backbone genomic regions. The second set of genomic regions may comprise one or more hotspot genomic regions. The predetermined amount of DNA may be about 200 ng, about 150 ng, about 125 ng, about 100 ng, about 75 ng, about 50 ng, about 25 ng, about 10 ng, about 5 ng, or about 1 ng. 
     In an aspect, a method for enriching for multiple genomic regions may comprise bringing a predetermined amount of a nucleic acid sample in contact with a bait panel comprising (i) a first bait set that selectively hybridizes to a first set of genomic regions of the nucleic acid sample, which may be provided at a first concentration ratio that is less than a saturation point of the first bait set, and (ii) a second bait set that selectively hybridizes to a second set of genomic regions of the nucleic acid sample, which may be provided at a second concentration ratio that is associated with a saturation point of the second bait set; and enriching the nucleic acid sample for the first set of genomic regions and the second set of genomic regions. 
     Enriching can comprise the following steps: (a) bringing sample nucleic acid into contact with a bait set; (b) capturing nucleic acids from the sample by hybridizing them to probes in the bait set; and (c) separating captured nucleic acids from un-captured nucleic acids. 
     Using this approach, capture of the second set of genomic regions at a saturation point of its bait set may yield high-sensitivity detection of variants of the second set of genomic regions (e.g., hot-spot regions), while capture of the first set of genomic regions below the saturation point of its bait set may be desired for the first set of genomic regions (e.g., backbone regions). The flexibility of this method to adjust the capture of different bait sets at or below their saturation levels may be leveraged to strategically select genomic regions of interest for hot-spot or backbone bait set panels, given each genomic region&#39;s characteristics such as sequencing load and utility. 
     The method may further comprise sequencing the enriched nucleic acids to produce a plurality of sequence reads of the first set of genomic regions and the second set of genomic regions. These sequence reads may be analyzed for cancer-relevant genetic variants (e.g., SNVs and indels) for cancer detection and assessment applications. 
     The skilled worker will appreciate that saturation point refers to saturation of binding kinetics. In essence, as the concentration of a bait (or set of baits) increases, the amount of target that binds to the bait (or set of baits) will also increase. However, the amount of target in a given sample will be fixed, and thus, at a certain point, effectively all the target in the sample will be bound to the bait (or set of baits). Therefore, as bait concentrations increase beyond this point, the amount of bound target will not substantially increase because the system will approach binding equilibrium (the rates at which bait molecules bind and release target molecules will start to converge). 
     Saturation point refers to a concentration or amount of bait at which point increasing that concentration or amount does not substantially increase the amount of target material captured from a sample, e.g., that point at which increases in the concentration of bait produce increasingly diminished increases in total amount of target material captured. In some embodiments, the point at which increasing the concentration or amount of a bait does not substantially increase the amount of target material captured from a sample is the point at which increasing the concentration or amount of bait produces no increase in the amount of target captured from the sample. The saturation point can be an inflection point on a saturation curve measuring the amount of captured target nucleic acid with increasing concentrations of the bait set. For example, the saturation point can be the point at which an increase of 100% in the bait concentration (e.g., 2× or twice the concentration increases an amount of target captured by any of less than 20%, less than 19%, less than 18%, less than 17%, less than 16%, less than 15%, less than 14%, less than 13%, less than 12%, less than 11%, less than 10%, less than 9%, less than 8%, less than 7%, less than 6%, less than 5%, less than 4%, less than 3%, less than 2%, or less than 1%. In some embodiments, an increase of 50% in the bait concentration (e.g., 1.5× or one-and-a-half times the concentration) increases an amount of target captured by any of less than 20%, less than 19%, less than 18%, less than 17%, less than 16%, less than 15%, less than 14%, less than 13%, less than 12%, less than 11%, less than 10%, less than 9%, less than 8%, less than 7%, less than 6%, less than 5%, less than 4%, less than 3%, less than 2%, or less than 1%. In some embodiments, an increase of 20% in the bait concentration (e.g., 1.2×) increases an amount of target captured by any of less than 20%, less than 19%, less than 18%, less than 17%, less than 16%, less than 15%, less than 14%, less than 13%, less than 12%, less than 11%, less than 10%, less than 9%, less than 8%, less than 7%, less than 6%, less than 5%, less than 4%, less than 3%, less than 2%, or less than 1%. In some embodiments, an increase of 10% in the bait concentration (e.g., 1.1×) increases an amount of target captured by any of less than 20%, less than 19%, less than 18%, less than 17%, less than 16%, less than 15%, less than 14%, less than 13%, less than 12%, less than 11%, less than 10%, less than 9%, less than 8%, less than 7%, less than 6%, less than 5%, less than 4%, less than 3%, less than 2%, or less than 1%.  FIG. 6  depicts an exemplary saturation curve showing unique molecule count on the y-axis as a function of input bait amount on the x-axis. At each input amount (shown as μl of a bait solution), the amount of bait panel was titrated to generate the curve. Using a titration curve such as that of  FIG. 6 , a person of skill in the art can calculate a saturation point. For example, looking at 0.2 μl, the unique molecule count is approximately 2700. At 2× the amount of bait (4 μl), the unique molecule count is approximately 3200, a difference of 500. Thus, doubling the amount of bait results in an increase in capture of about 18.5%. By contrast, at 0.5 μl, the unique molecule count is approximately 3250, and at 1 μl, the unique molecule count is approximately 3500, a difference of 250. Doubling the amount of bait here results in an increase in capture of only about 7.7%. Accordingly, a person of skill in the art looking to use a saturation point at which an increase of 100% in the bait concentration to increase an amount of target captured by less than 8% might therefore use 0.5 μl of bait as the saturation point. 
     At the saturation point, the bait set can capture any of at least 40%, at least 50%, at least 60%, at least 70%, at least 80%, at least 85%, at least 86%, at least 87%, at least 88%, at least 89%, at least 90%, at least 91%, at least 92%, at least 93%, at least 94%, at least 95%, at least 96%, at least 97%, at least 98%, or at least 99% of a target sequence in a sample. Saturation point can refer to the saturation point of a bait set or of a particular bait, depending on the context in which the term is used. 
     The saturation point of a bait set may be determined by the following method: (a) for each of the baits in the bait set, generating a titration curve comprising (i) measuring the capture efficiency of the bait on a given amount of input sample (e.g., test sample) as a function of the concentration of the bait, and (ii) identifying an inflection point within the titration curve, thereby identifying a saturation point associated with the bait; and (b) selecting a saturation point that is larger than substantially all of the saturation points associated with baits in the bait set, thereby determining the saturation point of the bait set. The selection of a saturation point may be influenced by capture efficiency of a bait and the associated costs, such that the concentration at the saturation point may be high enough to achieve a desired capture efficiency, while still low enough to ensure reasonable assay reagent costs. 
     The capture efficiency of a bait may be determined by (a) providing a plurality of nucleic acid samples obtained from a plurality of subjects in a cohort; (b) hybridizing the bait with each of the nucleic acid samples, at each of a plurality of concentrations of the bait; (c) enriching with the bait, a plurality of genomic regions of the nucleic acid samples, at each of the plurality of concentrations of the bait; and (d) measuring number of unique nucleic acid molecules or nucleic acid molecules with representation of both strands of an original double-stranded nucleic acid molecule representing the capture efficiency at each of the plurality of concentrations of the bait. Typically, the capture efficiency of a bait (e.g., the percentage of molecules containing the target genomic region of the bait that are captured from a sample comprising such molecules) increases rapidly with concentration until an inflection point is reached, after which the percentage of captured molecules increases much more slowly. 
     An inflection point may be a first concentration of a bait such that observed capture efficiency does not increase significantly at concentrations of the bait greater than the first concentration. An inflection point may be a first concentration of the bait such that an observed increase between (1) the capture efficiency at a bait concentration of twice the first concentration compared to (2) the capture efficiency at the first bait concentration, is less than about 1%, less than about 2%, less than about 3%, less than about 4%, less than about 5%, less than about 6%, less than about 7%, less than about 8%, less than about 9%, less than about 10%, less than about 12%, less than about 14%, less than about 16%, less than about 18%, or less than about 20%. Such an identified inflection point can be considered a saturation point associated with a bait. A bait can be used at a concentration of a saturation point in an assay to enable optimal capture of a target genomic region and hence sensitivity of detecting genetic variants of the target genomic region. In some embodiments, the saturation point associated with a bait set is the saturation point of the weakest bait in that bait set. For example, the bait set has a saturation point that is larger than substantially all of the saturation points associated with baits in the bait set when a bait of the bait set is subjected to a titration curve generated by (i) measuring the capture efficiency of a bait of the bait set as a function of the concentration of the bait, and (ii) identifying an inflection point within the titration curve, thereby identifying a saturation point associated with the bait. When each bait in the bait set is at a first concentration that is least at its saturation point, the bait set will have captured target sequences such that observed capture efficiency of the target sequences increases by less than 20% at a concentration of the baits twice that of the first concentration 
     The nucleic acid sample may be a cell-free nucleic acid sample (e.g., cfDNA). A method for enriching for multiple genomic regions may further comprise sequencing the enriched nucleic acid sample to produce a plurality of sequence reads. A method for enriching for multiple genomic regions may further comprise producing an output comprising a nucleic acid sequence representative of the nucleic acid sample. This nucleic acid sequence may then be aligned to a reference genome and analyzed for cancer-relevant genetic variants through bioinformatics approaches. 
     In an aspect, a bait panel may comprise a first set that selectively captures backbone regions of a genome, said backbone regions associated with a ranking function of sequencing load and utility, wherein the ranking function of each backbone region has a value less than a predetermined threshold value; and a second bait set that selectively captures hotspot regions of a genome, said hotspot regions associated with a ranking function of sequencing load and utility, wherein the ranking function of each hotspot region has a value greater than or equal to the predetermined threshold value. This approach may use at least two bait sets corresponding to backbone and hot-spot regions. 
     Hot-spot regions may be relatively more important than backbone regions to capture and analyze in a given cell-free nucleic acid sample due to their relatively high utility and/or relatively low sequencing load. The selection of a given region as a hot-spot region or a backbone region depends on its ranking function value, which is calculated as a function of sequencing load and utility. A ranking function value may be calculated as utility of a genomic region divided by sequencing load of a genomic region. 
     The hotspot regions may comprise one or more nucleosome informative regions. Nucleosome informative regions may comprise a region of maximum nucleosome differentiation. The bait panel may further comprising a second bait set that selectively captures disease informative regions. The baits in the first bait set may be at a first concentration (e.g., a first concentration relative to the bait panel), and the baits in the second bait set may be at a second concentration (e.g., a second concentration relative to the bait panel). 
     In an aspect, a method for generating a bait set may comprise identifying one or more backbone genomic regions of interest, wherein the identifying the one or more backbone genomic regions may comprise maximizing a ranking function of sequencing load and utility associated with each of the backbone genomic regions; identifying one or more hot-spot genomic regions of interest; creating a first bait set that selectively captures the backbone genomic regions of interest; and creating a second bait set that selectively captures the hot-spot genomic regions of interest. The second bait set may have a higher capture efficiency than the first bait set. 
     The one or more hot-spots may be selected using one or more of (e.g., one or more, two or more, three or more, or four of) the following: (i) maximizing a ranking function of sequencing load and utility associated with each of the hot-spot genomic regions, (ii) nucleosome profiling across the one or more genomic regions of interest, (iii) predetermined cancer driver mutations or prevalence across a relevant patient cohort, and (iv) empirically identified cancer driver mutations. 
     Identifying one or more hotspots of interest may comprise using a programmed computer processor to rank a set of hot-spot genomic regions based on a ranking function of sequencing load and utility associated with each of the hot-spot genomic regions. Identifying the one or more backbone genomic regions of interest may comprise ranking a set of backbone genomic regions based on a ranking function of sequencing load and utility associated with each of the backbone genomic regions of interest. Identifying the one or more hot-spot genomic regions of interest may comprise utilizing a set of empirically determined minor allele frequency (MAF) values or clonality of a variant measured by its MAF in relationship to the highest presumed driver or clonal mutation in a sample obtained from one or more subjects in a cohort of interest. Genomic regions that have relatively high MAF values in a cohort of interest may be suitable hot-spots because they may indicate cancer-relevant assessments such as detection, cell type or tissue or origin, tumor burden, and/or treatment efficacy. 
     Sequencing load of a genomic region may be calculated by multiplying together one or more of (e.g., one or more, two or more, three or more, four or more, or five of) (i) size of the genomic region in base pairs, (ii) relative fraction of reads spent on sequencing fragments mapping to the genomic region, (iii) relative coverage as a result of sequence bias of the genomic region, (iv) relative coverage as a result of amplification bias of the genomic region, and (v) relative coverage as a result of capture bias of the genomic region. This indicator may be calculated for each genomic region in a bait panel set to identify the “costs” associated with generating sequence reads associated with the genomic region from a nucleic acid sample. 
     The sequencing load of a genomic region is linearly proportional to the size of the genomic region in base pairs. The relative fraction of reads spent on sequencing fragments mapping to the genomic region also influences the sequencing load of the genomic region, since some genomic regions may be especially difficult to sequence reliably (e.g., due to high GC-content or the presence of highly repeating sequences) and hence may require higher sequencing depth for analysis at the bait&#39;s desired resolution. Similarly relative coverage as a result of sequence bias, amplification bias, and/or capture bias of the genomic region may also affect the sequencing load of the genomic region. The total sequencing load of a given assay&#39;s sequencing run may then be calculated by summing all sequencing loads of the baits (including hot-spots and backbone regions) in the assay&#39;s selected bait panel set. 
     In some examples, utility of a genomic region may be calculated by multiplying together one or more of (e.g., one or more, two or more, three or more, four or more, five or more, six or more, or seven of) the following utility factors: (i) presence of one or more actionable mutations in the genomic region, (ii) frequency of one or more actionable mutations in the genomic region, (iii) presence of one or more mutations associated with above-average minor allele frequencies (MAFs) in the genomic region, (iv) frequency of one or more mutations associated with above-average minor allele frequencies (MAFs) in the genomic region, (v) fraction of patients in a cohort harboring a somatic mutation within the genomic region, (vi) sum of MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, and (vii) ratio of (1) MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, to (2) maximum MAF for a given patient in the cohort. 
     The goal of calculating utility of a genomic region may be to help assess its relative importance for inclusion in a bait set panel. For example, the presence and/or frequency of one or more actionable mutations in the genomic region affect the utility of a genomic region for inclusion in a bait set panel, since genomic regions containing highly frequent mutations are good markers (e.g., indicators) of disease states including cancer. Similarly, the selection of genomic regions with presence and/or frequency of mutations associated with above-average MAFs will enable highly sensitive detection of these mutations in a liquid biopsy assay. 
     The fraction of patients in a cohort harboring a somatic mutation within the genomic region may indicate driver mutations that are suitable as a marker for the cohort&#39;s disease (e.g., breast, colorectal, pancreatic, prostate, melanoma, lung, or liver). To maximize the chances of detecting the highest MAF or driver variant, the sum of MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region may be used as a utility factor. To give maximal weight to the driver mutations, the ratio of (1) MAF for variants in patients in a cohort, said patients harboring a somatic mutation within the genomic region, to (2) maximum MAF for a given patient in the cohort may be used as a utility factor. Mutations associated with higher minor allele frequencies may comprise one or more driver mutations or are known from external data or annotation sources. 
     Actionable mutations may comprise mutations whose detected presence may influence or determine clinical decisions (e.g., diagnosis, cancer monitoring, therapy monitoring, assessment of therapy efficacy). Actionable mutations may comprise one or more of (e.g., one or more, two or more, three or more, four or more, five or more, six or more, or seven of) (i) druggable mutations, (ii) mutations for therapeutic monitoring, (iii) disease specific mutations, (iv) tissue specific mutations, (v) cell type specific mutations, (vi) resistance mutations, and (vii) diagnostic mutations. 
     Druggable mutations may include those mutations whose detected presence in a nucleic acid sample from a subject may indicate that the subject is an appropriate candidate for treatment with a certain drug associated with the mutation (e.g., detection of EGFR L858R mutation may indicate the need to treat with a tyrosine kinase inhibitor (TM) treatment). Mutations for therapeutic monitoring include those mutations whose detected presence or increased level in a nucleic acid sample from a subject may indicate that the subject&#39;s cancer is responding to a treatment course. Resistance mutations include those mutations whose detected presence or increased level in a nucleic acid sample from a subject may indicate that the subject&#39;s cancer has become resistant to a treatment course (e.g., emergence of EGFR T790M mutation may indicate the onset of resistance). Mutations may be specific to a disease (e.g., tumor type), tissue type, or cell type, whose detection may indicate cancer, inflammation, or another disease state in a particular organ, tissue, or cell type. 
     An exemplary listing of genomic locations of interest may be found in Table 1. In some embodiments, genomic regions used in the methods of the present disclosure comprise at least a portion of at least 5, at least 10, at least 15, at least 20, at least 25, at least 30, at least 35, at least 40, at least 45, at least 50, at least 55, at least 60, at least 65, or at least 70 of the genes of Table 1. Each of these genomic locations of interest may be identified as a backbone region or hot-spot region for a given bait set panel. An exemplary listing of hot-spot genomic locations of interest may be found in Table 2. In some embodiments, genomic regions used in the methods of the present disclosure comprise at least a portion of at least 1, at least 2, at least 3, at least 4, at least 5, at least 6, at least 7, at least 8, at least 9, at least 10, at least 11, at least 12, at least 13, at least 14, at least 15, at least 16, at least 17, at least 18, at least 19, or at least 20 of the genes of Table 2. Each hot-spot genomic region is listed with several characteristics, including the associated gene, chromosome on which it resides, the start and stop position of the genome representing the gene&#39;s locus, the length of the gene&#39;s locus in base pairs, the exons covered by the gene, and the critical feature (e.g., type of mutation) that a given genomic region of interest may seek to capture. 
     
       
         
           
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Amplifications 
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Point Mutations (SNVs) 
                 (CNVs) 
                 Fusions 
                 Indels 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 AKT1 
                 ALK 
                 APC 
                 AR 
                 ARAF 
                 ARID1A 
                 AR 
                 BRAF 
                 ALK 
                 EGFR 
               
               
                 ATM 
                 BRAF 
                 BRCA1 
                 BRCA2 
                 CCND1 
                 CCND2 
                 CCND1 
                 CCND2 
                 FGFR2 
                 (exons 
               
               
                 CCNE1 
                 CDH1 
                 CDK4 
                 CDK6 
                 CDKN2A 
                 CDKN2B 
                 CCNE1 
                 CDK4 
                 FGFR3 
                 19 &amp; 20) 
               
               
                 CTNNB1 
                 EGFR 
                 ERBB2 
                 ESR1 
                 EZH2 
                 FBXW7 
                 CDK6 
                 EGFR 
                 NTRK1 
                 ERBB2 
               
               
                 FGFR1 
                 FGFR2 
                 FGFR3 
                 GATA3 
                 GNA11 
                 GNAQ 
                 ERBB2 
                 FGFR1 
                 RET 
                 (exons 
               
               
                 GNAS 
                 HNF1A 
                 HRAS 
                 IDH1 
                 IDH2 
                 JAK2 
                 FGFR2 
                 KIT 
                 ROS1 
                 19 &amp; 20) 
               
               
                 JAK3 
                 KIT 
                 KRAS 
                 MAP2K1 
                 MAP2K2 
                 MET 
                 KRAS 
                 MET 
                   
                 MET 
               
               
                 MLH1 
                 MPL 
                 MYC 
                 NF1 
                 NFE2L2 
                 NOTCH1 
                 MYC 
                 PDGFRA 
                   
                 (exon 14 
               
               
                 NPM1 
                 NRAS 
                 NTRK1 
                 PDGFRA 
                 PIK3CA 
                 PTEN 
                 PIK3CA 
                 RAF1 
                   
                 skipping) 
               
               
                 PTPN11 
                 RAF1 
                 RB1 
                 RET 
                 RHEB 
                 RHOA 
                   
                   
                   
                   
               
               
                 RIT1 
                 ROS1 
                 SMAD4 
                 SMO 
                 SRC 
                 STK11 
                   
                   
                   
                   
               
               
                 TERT 
                 TP53 
                 TSC1 
                 VHL 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 2 
               
               
                   
               
               
                   
                   
                 Start 
                 Stop 
                 Length 
                 Exons 
                   
               
               
                 Gene 
                 Chromosome 
                 Position 
                 Position 
                 (bp)  
                 Covered 
                 Critical Feature 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 ALK 
                 chr2 
                 29446405 
                 29446655 
                 250 
                 intron 19 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29446062 
                 29446197 
                 135 
                 intron 20 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29446198 
                 29446404 
                 206 
                 20 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29447353 
                 29447473 
                 120 
                 intron 19 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29447614 
                 29448316 
                 702 
                 intron 19 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29448317 
                 29448441 
                 124 
                 19 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29449366 
                 29449777 
                 411 
                 intron 18 
                 Fusion 
               
               
                 ALK 
                 chr2 
                 29449778 
                 29449950 
                 172 
                 18 
                 Fusion 
               
               
                 BRAF 
                 chr7 
                 140453064 
                 140453203 
                 139 
                 15 
                 BRAF V600 
               
               
                 CTNNB1 
                 chr3 
                 41266007 
                 41266254 
                 247 
                 3 
                 S37 
               
               
                 EGFR 
                 chr7 
                 55240528 
                 55240827 
                 299 
                 18 and 19 
                 G719 and deletions 
               
               
                 EGFR 
                 chr7 
                 55241603 
                 55241746 
                 143 
                 20 
                 Insertions/T790M 
               
               
                 EGFR 
                 chr7 
                 55242404 
                 55242523 
                 119 
                 21 
                 L858R 
               
               
                 ERBB2 
                 chr17 
                 37880952 
                 37881174 
                 222 
                 20 
                 Insertions 
               
               
                 ESR1 
                 chr6 
                 152419857 
                 152420111 
                 254 
                 10 
                 V534, P535, L536, 
               
               
                   
                   
                   
                   
                   
                   
                 Y537, D538 
               
               
                 FGFR2 
                 chr10 
                 123279482 
                 123279693 
                 211 
                 6 
                 S252 
               
               
                 GATA3 
                 chr10 
                 8111426 
                 8111571 
                 145 
                 5 
                 SS / Indels 
               
               
                 GATA3 
                 chr10 
                 8115692 
                 8116002 
                 310 
                 6 
                 SS / Indels 
               
               
                 GNAS 
                 chr20 
                 57484395 
                 57484488 
                 93 
                 8 
                 R844 
               
               
                 IDH1 
                 chr2 
                 209113083 
                 209113394 
                 311 
                 4 
                 R132 
               
               
                 IDH2 
                 chr15 
                 90631809 
                 90631989 
                 180 
                 4 
                 R140, R172 
               
               
                 KIT 
                 chr4 
                 55524171 
                 55524258 
                 87 
                 1 
                   
               
               
                 KIT 
                 chr4 
                 55561667 
                 55561957 
                 290 
                 2 
                   
               
               
                 KIT 
                 chr4 
                 55564439 
                 55564741 
                 302 
                 3 
                   
               
               
                 KIT 
                 chr4 
                 55565785 
                 55565942 
                 157 
                 4 
                   
               
               
                 KIT 
                 chr4 
                 55569879 
                 55570068 
                 189 
                 5 
                   
               
               
                 KIT 
                 chr4 
                 55573253 
                 55573463 
                 210 
                 6 
                   
               
               
                 KIT 
                 chr4 
                 55575579 
                 55575719 
                 140 
                 7 
                   
               
               
                 KIT 
                 chr4 
                 55589739 
                 55589874 
                 135 
                 8 
                   
               
               
                 KIT 
                 chr4 
                 55592012 
                 55592226 
                 214 
                 9 
                   
               
               
                 KIT 
                 chr4 
                 55593373 
                 55593718 
                 345 
                 10 and 11 
                 557, 559, 560, 576 
               
               
                 KIT 
                 chr4 
                 55593978 
                 55594297 
                 319 
                 12 and 13 
                 V654 
               
               
                 KIT 
                 chr4 
                 55595490 
                 55595661 
                 171 
                 14 
                 T670, S709 
               
               
                 KIT 
                 chr4 
                 55597483 
                 55597595 
                 112 
                 15 
                 D716 
               
               
                 KIT 
                 chr4 
                 55598026 
                 55598174 
                 148 
                 16 
                 L783 
               
               
                 KIT 
                 chr4 
                 55599225 
                 55599368 
                 143 
                 17 
                 C809, R815, D816, 
               
               
                   
                   
                   
                   
                   
                   
                 L818, D820, S821F, 
               
               
                   
                   
                   
                   
                   
                   
                 N822, Y823 
               
               
                 KIT 
                 chr4 
                 55602653 
                 55602785 
                 132 
                 18 
                 A829P 
               
               
                 KIT 
                 chr4 
                 55602876 
                 55602996 
                 120 
                 19 
                   
               
               
                 KIT 
                 chr4 
                 55603330 
                 55603456 
                 126 
                 20 
                   
               
               
                 KIT 
                 chr4 
                 55604584 
                 55604733 
                 149 
                 21 
                   
               
               
                 KRAS 
                 chr12 
                 25378537 
                 25378717 
                 180 
                 4 
                 A146 
               
               
                 KRAS 
                 chr12 
                 25380157 
                 25380356 
                 199 
                 3 
                 Q61 
               
               
                 KRAS 
                 chr12 
                 25398197 
                 25398328 
                 131 
                 2 
                 G12/G13 
               
               
                 MET 
                 chr7 
                 116411535 
                 116412255 
                 720 
                 13, 14, 
                   
               
               
                   
                   
                   
                   
                   
                 intron 13, 
                   
               
               
                   
                   
                   
                   
                   
                 intron 14 
                 MET exon 14 SS 
               
               
                 NRAS 
                 chrl 
                 115256410 
                 115256609 
                 199 
                 3 
                 Q61 
               
               
                 NRAS 
                 chrl 
                 115258660 
                 115258791 
                 131 
                 2 
                 G12/G13 
               
               
                 PIK3CA 
                 chr3 
                 178935987 
                 178936132 
                 145 
                 10 
                 E545K 
               
               
                 PIK3CA 
                 chr3 
                 178951871 
                 178952162 
                 291 
                 21 
                 H1047R 
               
               
                 PTEN 
                 chr10 
                 89692759 
                 89693018 
                 259 
                 5 
                 R130 
               
               
                 SMAD4 
                 chr18 
                 48604616 
                 48604849 
                 233 
                 12 
                 D537 
               
               
                 TERT 
                 chr5 
                 1294841 
                 1295512 
                 671 
                 promoter 
                 chr5:1295228 
               
               
                 TP53 
                 chr17 
                 7573916 
                 7574043 
                 127 
                 11 
                 Q331, R337, R342 
               
               
                 TP53 
                 chr17 
                 7577008 
                 7577165 
                 157 
                 8 
                 R273 
               
               
                 TP53 
                 chr17 
                 7577488 
                 7577618 
                 130 
                 7 
                 R248 
               
               
                 TP53 
                 chr17 
                 7578127 
                 7578299 
                 172 
                 6 
                 R213/Y220 
               
               
                 TP53 
                 chr17 
                 7578360 
                 7578564 
                 204 
                 5 
                 R175/Deletions 
               
               
                 TP53 
                 chr17 
                 7579301 
                 7579600 
                 299 
                 4 
                   
               
               
                   
                   
                   
                   
                 12574 
                   
                   
               
               
                   
                   
                   
                   
                 (total target 
                   
                   
               
               
                   
                   
                   
                   
                 region) 
                   
                   
               
               
                   
                   
                   
                   
                 16330 (total 
                   
                   
               
               
                   
                   
                   
                   
                 probe 
                   
                   
               
               
                   
                   
                   
                   
                 coverage) 
               
               
                   
               
            
           
         
       
     
     In an aspect, a bait panel may comprise a plurality of bait sets, each bait set (i) comprising one or more baits that selectively capture one or more genomic regions with utility in the same quantile across the plurality of baits, and (ii) having a different relative concentration from each of the other bait sets with utility in a different quantile across the plurality of baits. Quantiles may be, for example, two halves, three thirds, four quarters, etc. For example, a bait panel may comprise three bait sets, each bait set comprising baits that selectively capture genomic regions with utility in the upper third, middle third, or lower third of utility values across the plurality of baits, with each of the three bait sets having a different relative concentration. 
     A bait panel may comprise a plurality of bait sets, each bait set (i) comprising one or more baits that selectively capture one or more genomic regions with sequencing load in the same quantile across the plurality of baits, and (ii) having a different relative concentration from each of the other bait sets with sequencing load in a different quantile across the plurality of baits. A bait panel may comprise a plurality of bait sets, each bait set (i) comprising one or more baits that selectively capture one or more genomic regions with ranking function value (e.g., utility divided by sequencing load) in the same quantile across the plurality of baits, and (ii) having a different relative concentration from each of the other bait sets with ranking function value in a different quantile across the plurality of baits. 
     In an aspect, a method of selecting a set of panel blocks may comprise (a) for each panel block, (i) calculating a utility of the panel block, (ii) calculating a sequencing load of the panel block, and (iii) calculating a ranking function of the panel block; and (b) performing an optimization process to select a set of panel blocks that maximizes the total ranking function values of the selected panel blocks. A ranking function of a panel block may be calculated as the utility of a panel block divided by the sequencing load of a panel block. The combinatorial optimization process may optimize the total sum of ranking function values of all panel blocks selected for the set of panel blocks in a single assay. This approach may enable an optimal panel selection given constraints in sequence load and utility. The combinatorial optimization process may be a greedy algorithm. In an aspect, a method may comprise (a) providing a plurality of bait mixtures, wherein each bait mixture comprises a first bait set that selectively hybridizes to a first set of genomic regions and a second bait set that selectively hybridizes to a second set of genomic regions, and wherein the bait mixtures comprise the first bait set at different concentrations and the second bait set at the same concentrations; (b) contacting each bait mixture with a nucleic acid sample to capture nucleic acid from the sample with the bait sets, wherein the nucleic acid samples have a nucleic acid concentration around the saturation point of the second bait set; (c) sequencing a portion of the nucleic acids captured with each bait mixture to produce sets of sequence reads within an allocated number of sequence reads; (d) determining the read depth for the first bait set and the second bait set for each bait mixture; and (e) identifying at least one bait mixture that provides read depths for the second set of genomic regions and, optionally, first set of genomic regions, at predetermined amounts. In some embodiments, the read depths for the second set of genomic regions provides a sensitivity of detecting of at least 0.0001%. In some embodiments, a first set of genomic regions and/or a second set of regions have a size between about 25 kilobases to 1,000 kilobases. In some embodiments, a first set of genomic regions and/or a second set of regions have a read depth of between 1,000 counts/base and 50,000 counts/base. 
     Improved Accuracy of Indel Detection 
     A method is disclosed for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject, which plurality of sequence reads are generated by nucleic acid sequencing. For each of the plurality of sequence reads associated with cfDNA molecules, a candidate indel may be identified. Each candidate indel may then be classified as either a true indel or an introduced indel, using a combination of predetermined expectations of (i) an indel being detected in one or more sequence reads of the plurality of sequence reads, (ii) that a detected indel is a true indel present in a given cell-free DNA molecule of the cell-free DNA molecules, given that an indel has been detected in the one or more of the sequence reads, and/or (iii) that a detected indel is introduced by non-biological error, given that an indel has been detected in the one or more of the sequence reads, in conjunction with one or more model parameters to perform a hypothesis test. This approach may reduce error and improve accuracy of detecting an indel from sequence read data. 
       FIG. 1  illustrates how a plurality of reads may be generated for each locus enriched from a cell-free nucleic acid sample. Each enriched nucleic acid molecule (e.g., DNA molecule) is amplified to produce a family of amplicons. These amplicons may then be sequenced on both forward and reverse strands to produce a plurality of sequence read data. From the plurality of sequence read data, candidate indels may be detected and classified as either true indels or introduced (e.g., non-biological) indels. 
     This algorithm presumes that for any given DNA molecule for which a plurality of sequence reads is analyzed for variants comprising indels, there exists a predetermined expectation (e.g., probability) of an indel being present either in the original molecule (e.g., a “true” biological indel) or introduced at some point in a protocol that culminates a set of sequence reads (e.g., an introduced non-biological indel stemming from error, including amplification or sequencing error). The model may aim to perform a hypothesis test which asks, given a pattern of reads mapping to a particular base position (e.g., cover the base position somewhere in the read), if the observed pattern is most indicative of an indel in a sequence being present at the beginning of the protocol (e.g., a true biological indel) or introduced during the protocol (a non-biological indel). 
     In an aspect, a method for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject, which plurality of sequence reads are generated by nucleic acid sequencing, may comprise (a) for each of the plurality of sequence reads associated with the cell-free DNA molecules, providing: a predetermined expectation of an indel being detected in one or more sequence reads of the plurality of sequence reads; a predetermined expectation that a detected indel is a true indel present in a given cell-free DNA molecule of the cell-free DNA molecules, given that an indel has been detected in the one or more of the sequence reads; and a predetermined expectation that a detected indel is introduced by non-biological error, given that an indel has been detected in the one or more of the sequence reads; (b) providing quantitative measures of one or more model parameters characteristic of sequence reads generated by nucleic acid sequencing; (c) detecting one or more candidate indels in the plurality of sequence reads associated with the cell-free DNA molecules; and (d) for each candidate indel, performing a hypothesis test using one or more of the model parameters to classify said candidate indel as a true indel or an introduced indel, thereby improving accuracy of detecting an indel. 
     The method for improving accuracy of detecting an insertion or deletion (indel) from a plurality of sequence reads derived from cell-free deoxyribonucleic acid (cfDNA) molecules in a bodily sample of a subject may further comprise enriching one or more loci from the cell-free DNA in the bodily sample before step (a), thereby producing enriched polynucleotides. 
     The method may further comprise amplifying the enriched polynucleotides to produce families of amplicons, wherein each family comprises amplicons originating from a single strand of the cell-free DNA molecules. The non-biological error may comprise error in sequencing at a plurality of genomic base locations. The non-biological error may comprise error in amplification at a plurality of genomic base locations. 
       FIG. 2  illustrates an example of small families of reads (which may appear to provide evidence for a true indel variant) and large families of reads (which may indicate a likely introduced error stemming from PCR or sequencing. In general, true indels may be expected to be detected or measured as small families of reads, since they may not be expected to affect large numbers of DNA molecules biologically. In contrast, introduced indels may be expected to be detected or measured as larger families of reads, which may indicate an introduced error during PCR or sequencing. Some untrimmed or erroneous reads may cause the algorithm to disqualify the family based on a hypothesis test that classifies an indel (e.g., insertion or deletion) as introduced rather than biological. 
       FIG. 3  illustrates an example of an insertion being supported by a large family upon aligning and comparing a plurality of sequence reads to a reference genome. As in the above case in  FIG. 3 , some untrimmed or erroneous reads may cause the algorithm to disqualify the family based on a hypothesis test that classifies an indel (e.g., insertion or deletion) as introduced rather than biological. 
     Model parameters may comprise one or more of (e.g., one or more, two or more, three or more, or four of) (i) for each of one or more variant alleles, a frequency of the variant allele (α) and a frequency of non-reference alleles other than the variant allele (α′); (ii) a frequency of an indel error in the entire forward strand of a family of strands (β 1 ), wherein a family comprises a collection of amplicons originating from a single strand of the cell-free DNA molecules; (iii) a frequency of an indel error in the entire reverse strand of a family of strands (β 2 ); and (iv) a frequency of an indel error in a sequence read (γ). 
       FIG. 4  illustrates the various parameters that may be used in a hypothesis test and how each parameter may be related to a particular probability, e.g., of a family of reads matching a reference, of a strands&#39; reads matching a reference, and of a read matching a reference.  FIG. 2  also illustrates how a parameter test containing a maximum likelihood function may be performed. If the parameter test is greater than a predetermined threshold when performed on a candidate indel, then the candidate may be classified as a true indel. If the parameter test is less than or equal to a predetermined threshold when performed on a candidate indel, then the candidate may be classified as an introduced (e.g., non-biological) indel. 
     The step of performing a hypothesis test may comprise performing a multi-parameter maximization algorithm. The multi-parameter maximization algorithm may comprise a Nelder-Mead algorithm. The classifying of a candidate indel as a true indel or an introduced indel may comprise (a) maximizing a multi-parameter likelihood function, (b) classifying a candidate indel as a true indel if the maximum likelihood function value is greater than a predetermined threshold value, and (c) classifying a candidate indel as an introduced indel if the maximum likelihood function value is less than or equal to a predetermined threshold value. The multi-parameter likelihood function may be given as: 
     
       
         
           
             
               Pr 
               ⁢ 
               
                 { 
                 
                   
                     Reads 
                     | 
                     α 
                   
                   , 
                   
                     α 
                     ′ 
                   
                   , 
                   
                     β 
                     1 
                   
                   , 
                   
                     β 
                     2 
                   
                   , 
                   γ 
                 
                 } 
               
             
             = 
             
               
                 ∏ 
                 Families 
               
               ⁢ 
               
                 ( 
                 
                   
                     α 
                     · 
                     
                       ( 
                       
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 β 
                                 1 
                               
                             
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                           ⁢ 
                           
                             
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                                 1 
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                               ) 
                             
                             
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                                 1 
                               
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                         + 
                         
                           
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                                   1 
                                 
                               
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                 ) 
               
             
           
         
       
     
     A multi-parameter likelihood function Pr{Reads|α, α′, β, β 2 , γ} may represent a probability of an observed configuration of reads according to the model illustrated in  FIG. 4  (and described above). One assumption of the model may be that, given certain values of parameters (e.g., α, α′, β 1 , β 2 , and γ), an observed configuration of reads within a family is statistically independent from an observed configuration of reads within all other families. Therefore, the probability Pr{Reads|α, α′, β 1 , β 2 , γ} can be expressed as a product of Pr{reads in family f|α, α′, β 1 , β 2 , γ} over all families. This per-family probability itself may comprise a weighted sum of at least three components, wherein each component corresponds to a possible family type: a) having the variant allele (with weight α), b) having other non-reference variant allele (with weight α′, or c) having the reference allele (with weight 1−α−α′). These components being summed may be probabilities of observed read configuration for the respective family type Pr{reads in family f|α, α′, β 1 , β 2 , γ, and family f having variant allele}, Pr{reads in family f|α, α′, β 1 , β 2 , γ, and family f having other non-reference variant allele}, and Pr{reads in family f|α, α′, β 1 , β 2 , γ, and family f having reference allele}. 
     Since the model postulates that within a family each strand may be affected by an indel error independently of the other strand, the probability of observed read configuration for a family having variant allele Pr{reads in family f|α, α′, β 1 , β 2 , γ, and family f having variant allele} may be itself a product of the probability of observed configuration of reads from the forward strand and the probability of observed configuration of reads from the reverse strand. Each of these probabilities may be itself a weighted sum of at least two components, wherein each component corresponds to a possible outcome: X) the strand-specific indel error did affect this family strand (with weight β 1  or β 2 ) and Y) the strand-specific indel error did not affect this family strand (with weight 1−β 1  or 1−β 2 ). 
     Finally, within a family of assumed type a), b), or c) and/or within a strand of assumed type X) or Y), the probability of a specific read configuration may be a product of probabilities for individual reads, since it is postulated by the model that these reads have a statistically independent probability of falling into one of the three categories: i) read supports the variant allele, ii) read supports other non-reference variant allele, or iii) read supports the reference allele. These probabilities are listed in the table below. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 3 
               
               
                   
               
               
                   
                   
                 i) read 
                 ii) read 
                 iii) read 
               
               
                   
                   
                 supports 
                 supports 
                 supports 
               
               
                 Family 
                 Strand error 
                 variant 
                 other 
                 reference 
               
               
                   
               
             
            
               
                 a) variant allele 
                 present 
                 γ 
                 1 − γ 
                 1 − γ 
               
               
                   
                 absent 
                 1 − γ 
                 γ 
                 γ 
               
               
                 b) other variant 
                 present 
                 1 − γ 
                 γ 
                 1 − γ 
               
               
                 allele 
                 absent 
                 γ 
                 1 − γ 
                 γ 
               
               
                 c) reference 
                 present 
                 1 − γ 
                 1 − γ 
                 γ 
               
               
                 allele 
                 absent 
                 γ 
                 γ 
                 1 − γ 
               
               
                   
               
            
           
         
       
     
     While preferred embodiments of the present invention have been shown and described herein, it will be obvious to those skilled in the art that such embodiments are provided by way of example only. It is not intended that the invention be limited by the specific examples provided within the specification. While the invention has been described with reference to the aforementioned specification, the descriptions and illustrations of the embodiments herein are not meant to be construed in a limiting sense. Numerous variations, changes, and substitutions will now occur to those skilled in the art without departing from the invention. Furthermore, it shall be understood that all aspects of the invention are not limited to the specific depictions, configurations or relative proportions set forth herein which depend upon a variety of conditions and variables. It should be understood that various alternatives to the embodiments of the invention described herein may be employed in practicing the invention. It is therefore contemplated that the invention shall also cover any such alternatives, modifications, variations or equivalents. It is intended that the following claims define the scope of the invention and that methods and structures within the scope of these claims and their equivalents be covered thereby. 
     Computer Control Systems 
     The present disclosure provides computer control systems that are programmed to implement methods of the disclosure.  FIG. 5  shows a computer system  501  that is programmed or otherwise configured to implements methods for generating a bait set, for selecting a set of panel blocks, and for improving accuracy of detecting an indel from a plurality of sequence reads derived from cfDNA molecules. The computer system  501  can regulate various aspects of the present disclosure, such as, for example, methods for generating a bait set, for selecting a set of panel blocks, or for improving accuracy of detecting an indel from a plurality of sequence reads derived from cfDNA molecules. The computer system  501  can be an electronic device of a user or a computer system that is remotely located with respect to the electronic device. The electronic device can be a mobile electronic device. 
     The computer system  501  includes a central processing unit (CPU, also “processor” and “computer processor” herein)  505 , which can be a single core or multi core processor, or a plurality of processors for parallel processing. The computer system  501  also includes memory or memory location  510  (e.g., random-access memory, read-only memory, flash memory), electronic storage unit  515  (e.g., hard disk), communication interface  520  (e.g., network adapter) for communicating with one or more other systems, and peripheral devices  525 , such as cache, other memory, data storage and/or electronic display adapters. The memory  510 , storage unit  515 , interface  520  and peripheral devices  525  are in communication with the CPU  505  through a communication bus (solid lines), such as a motherboard. The storage unit  515  can be a data storage unit (or data repository) for storing data. The computer system  501  can be operatively coupled to a computer network (“network”)  530  with the aid of the communication interface  520 . The network  530  can be the Internet, an internet and/or extranet, or an intranet and/or extranet that is in communication with the Internet. The network  530  in some cases is a telecommunication and/or data network. The network  530  can include one or more computer servers, which can enable distributed computing, such as cloud computing. The network  530 , in some cases with the aid of the computer system  501 , can implement a peer-to-peer network, which may enable devices coupled to the computer system  501  to behave as a client or a server. 
     The CPU  505  can execute a sequence of machine-readable instructions, which can be embodied in a program or software. The instructions may be stored in a memory location, such as the memory  510 . The instructions can be directed to the CPU  505 , which can subsequently program or otherwise configure the CPU  505  to implement methods of the present disclosure. Examples of operations performed by the CPU  505  can include fetch, decode, execute, and writeback. 
     The CPU  505  can be part of a circuit, such as an integrated circuit. One or more other components of the system  501  can be included in the circuit. In some cases, the circuit is an application specific integrated circuit (ASIC). 
     The storage unit  515  can store files, such as drivers, libraries and saved programs. The storage unit  515  can store user data, e.g., user preferences and user programs. The computer system  501  in some cases can include one or more additional data storage units that are external to the computer system  501 , such as located on a remote server that is in communication with the computer system  501  through an intranet or the Internet. 
     The computer system  501  can communicate with one or more remote computer systems through the network  530 . For instance, the computer system  501  can communicate with a remote computer system of a user. Examples of remote computer systems include personal computers (e.g., portable PC), slate or tablet PC&#39;s (e.g., Apple® iPad, Samsung® Galaxy Tab), telephones, Smart phones (e.g., Apple® iPhone, Android-enabled device, Blackberry®), or personal digital assistants. The user can access the computer system  501  via the network  530 . 
     Methods as described herein can be implemented by way of machine (e.g., computer processor) executable code stored on an electronic storage location of the computer system  501 , such as, for example, on the memory  510  or electronic storage unit  515 . The machine executable or machine readable code can be provided in the form of software. During use, the code can be executed by the processor  505 . In some cases, the code can be retrieved from the storage unit  515  and stored on the memory  510  for ready access by the processor  505 . In some situations, the electronic storage unit  515  can be precluded, and machine-executable instructions are stored on memory  510 . 
     The code can be pre-compiled and configured for use with a machine having a processer adapted to execute the code, or can be compiled during runtime. The code can be supplied in a programming language that can be selected to enable the code to execute in a pre-compiled or as-compiled fashion. 
     Aspects of the systems and methods provided herein, such as the computer system  501 , can be embodied in programming. Various aspects of the technology may be thought of as “products” or “articles of manufacture” typically in the form of machine (or processor) executable code and/or associated data that is carried on or embodied in a type of machine readable medium. Machine-executable code can be stored on an electronic storage unit, such as memory (e.g., read-only memory, random-access memory, flash memory) or a hard disk. “Storage” type media can include any or all of the tangible memory of the computers, processors or the like, or associated modules thereof, such as various semiconductor memories, tape drives, disk drives and the like, which may provide non-transitory storage at any time for the software programming. All or portions of the software may at times be communicated through the Internet or various other telecommunication networks. Such communications, for example, may enable loading of the software from one computer or processor into another, for example, from a management server or host computer into the computer platform of an application server. Thus, another type of media that may bear the software elements includes optical, electrical and electromagnetic waves, such as used across physical interfaces between local devices, through wired and optical landline networks and over various air-links. The physical elements that carry such waves, such as wired or wireless links, optical links or the like, also may be considered as media bearing the software. As used herein, unless restricted to non-transitory, tangible “storage” media, terms such as computer or machine “readable medium” refer to any medium that participates in providing instructions to a processor for execution. 
     Hence, a machine readable medium, such as computer-executable code, may take many forms, including but not limited to, a tangible storage medium, a carrier wave medium or physical transmission medium. Non-volatile storage media include, for example, optical or magnetic disks, such as any of the storage devices in any computer(s) or the like, such as may be used to implement the databases, etc. shown in the drawings. Volatile storage media include dynamic memory, such as main memory of such a computer platform. Tangible transmission media include coaxial cables; copper wire and fiber optics, including the wires that comprise a bus within a computer system. Carrier-wave transmission media may take the form of electric or electromagnetic signals, or acoustic or light waves such as those generated during radio frequency (RF) and infrared (IR) data communications. Common forms of computer-readable media therefore include for example: a floppy disk, a flexible disk, hard disk, magnetic tape, any other magnetic medium, a CD-ROM, DVD or DVD-ROM, any other optical medium, punch cards paper tape, any other physical storage medium with patterns of holes, a RAM, a ROM, a PROM and EPROM, a FLASH-EPROM, any other memory chip or cartridge, a carrier wave transporting data or instructions, cables or links transporting such a carrier wave, or any other medium from which a computer may read programming code and/or data. Many of these forms of computer readable media may be involved in carrying one or more sequences of one or more instructions to a processor for execution. 
     The computer system  501  can include or be in communication with an electronic display  535  that comprises a user interface (UI)  540  for providing, for example, input parameters for methods for generating a bait set, for selecting a set of panel blocks, or for improving accuracy of detecting an indel from a plurality of sequence reads derived from cfDNA. Examples of UIs include, without limitation, a graphical user interface (GUI) and web-based user interface. 
     Methods and systems of the present disclosure can be implemented by way of one or more algorithms. An algorithm can be implemented by way of software upon execution by the central processing unit  505 . The algorithm can, for example, generate a bait set, select a set of panel blocks, or improve accuracy of detecting an indel from a plurality of sequence reads derived from cfDNA molecules.