Maintainer
Zilu Zhou zhouzilu@pennmedicine.upenn.edu
This is a demo for using the iCNV package in R. iCNV is a normalization and copy number variation detection procedure for multiple study designs: WES only, WGS only, SNP array only, or any combination of SNP and sequencing data. iCNV applies platform specific normalization, utilizes allele specific reads from sequencing and integrates matched NGS and SNP-array data by a Hidden Markov Model (HMM). Figure below shows the overall pipeline. This package specifically emphasizes on the steps within the parenthesis. Below is an example on calling copy number variation using whole-exome sequencing data and array SNPs of 46 modified samples from 1000 Genome Project. Only small portion of chromosome 22 are analyzed for illustration purposes. We will separately shows normalization for WES and SNP array. We will also introduce integrated calling procedure as well as single platform procedure.
NGS | Array
BAM BED(UCSC for WES or bed_generator.R for WGS 2.2) | SNP Intensity(in standard format)
|----------------| | |
| | | |icnv_array_input(2.4)
|SAMTools(2.3) |CODEX(2.2) | |
| | | |-----------|
Variants BAF(vcf) PLR | Array LRR Array BAF
| | | | |
| | | |SVD(2.4) |
|bambaf_from_vcf | | | |
| (2.3) | | Normalized LRR |
| | | | |
-------------------------------------------------------------------------------------
|
|iCNV_detection(2.5,2.6)
|
CNV calling
|
|icnv_output_to_gb(2.5,2.6)
|
Genome Browser file
We strongly recommend combining platform when both WES data and SNP array are available. However, for high quality WGS data, SNP information isn’t so necessary.
2. iCNV workflow
We could separate the basic iCNV workflow into 6 sections: 1. package installation; 2. .bam file normalization; 3. sequence variants BAF calling; 4. SNP array LRR normalization and BAF; 5. CNV detection using iCNV_detection
function. 6. CNV detection using iCNV_detection
function with single platform. We will illustrate them one by one in the following sessions.
2.1 Install iCNV.
Install CODEX
first
## try http:// if https:// URLs are not supported
if (!requireNamespace("BiocManager", quietly=TRUE))
install.packages("BiocManager")
BiocManager::install("CODEX")
Install iCNV
from Bioconductor:
## try http:// if https:// URLs are not supported
if (!requireNamespace("BiocManager", quietly=TRUE))
install.packages("BiocManager")
BiocManager::install("iCNV")
Install the current release from Github:
install.packages("devtools")
library(devtools)
install_github("zhouzilu/iCNV")
2.2 .bam file normalization using CODEX
For researchers work on WGS data, you need to generate your own BED file for CODEX normalization. We made a function bed_generator to help you with this.
After you have BAM file and BED file available, follow code below to get normalized NGS PLR. Code modified from https://github.com/yuchaojiang/CODEX with permission. If you have any additional question, please refer to CODEX
. iCNV only adopt normalized Poisson Likelihood Ratio from CODEX
, representing NGS ‘intensity’. In this example, we utilize toy data from the 1000 Genomes Project for illustration.
### 2.2 code chunk number 1: bambedObj1
library(CODEX)
library(WES.1KG.WUGSC) # Load Toy data from the 1000 Genomes Project.
library(iCNV)
# Assume your work dir set to demo
dir <- system.file("extdata", package = "WES.1KG.WUGSC") # 'PATH/TO/BAM'
bamFile <- list.files(dir, pattern = '*.bam$')
bamdir <- file.path(dir, bamFile)
sampname <- as.matrix(read.table(file.path(dir, "sampname")))
bedFile <- file.path(dir, "chr22_400_to_500.bed")
chr <- 22
bambedObj <- getbambed(bamdir = bamdir, bedFile = bedFile,
sampname = sampname, projectname = "icnv.demo.", chr)
bamdir <- bambedObj$bamdir; sampname <- bambedObj$sampname
ref <- bambedObj$ref; projectname <- bambedObj$projectname; chr <- bambedObj$chr
### 2.2 code chunk number 2: coverageObj1
coverageObj <- getcoverage(bambedObj, mapqthres = 20)
Y <- coverageObj$Y; readlength <- coverageObj$readlength
### 2.2 code chunk number 3: gcmapp1
gc <- getgc(chr, ref)
mapp <- getmapp(chr, ref)
### 2.2 code chunk number 4: qcObj1
qcObj <- qc(Y, sampname, chr, ref, mapp, gc, cov_thresh = c(20, 4000),
length_thresh = c(20, 2000), mapp_thresh = 0.9, gc_thresh = c(20, 80))
Y_qc <- qcObj$Y_qc; sampname_qc <- qcObj$sampname_qc; gc_qc <- qcObj$gc_qc
mapp_qc <- qcObj$mapp_qc; ref_qc <- qcObj$ref_qc; qcmat <- qcObj$qcmat
### 2.2 code chunk number 5: normObj1
normObj <- normalize(Y_qc, gc_qc, K = 1:9)
Yhat <- normObj$Yhat; AIC <- normObj$AIC; BIC <- normObj$BIC
RSS <- normObj$RSS; K <- normObj$K
choiceofK(AIC, BIC, RSS, K, filename = paste0(projectname, chr, "_choiceofK.pdf"))
save(qcObj,normObj,sampname,file=paste0(projectname,'plrObj_', chr,".rda"))
# This saving step is necessary for large dataset, such that you don't need
# to recompute everything again if you would like to view your choice of K
# plot. You could just load this as in the next chunk of code.
CODEX reports all three statistical metrics (AIC, BIC, percent of Variance explained) and uses BIC as the default method to determine the number of latent Poisson factors. Since false positives can be screened out through a closer examination of the post-segmentation data, whereas CNV signals removed in the normalization step cannot be recovered, CODEX opts for a more conservative normalization that, when in doubt, uses a smaller value of K. For example,
![](data:image/png;base64,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)
Here we pick optK=2
load(paste0(projectname,'plrObj_',chr,".rda"))
optK <- K[which.max(BIC)] # by default or customize given curves
### 2.2 code chunk number 6: plr
Y_qc <- qcObj$Y_qc; sampname_qc <- qcObj$sampname_qc; gc_qc <- qcObj$gc_qc
mapp_qc <- qcObj$mapp_qc; ref_qc <- qcObj$ref_qc; qcmat <- qcObj$qcmat
Yhat <- normObj$Yhat; AIC <- normObj$AIC; BIC <- normObj$BIC
RSS <- normObj$RSS; K <- normObj$K
ref_qc <- qcObj$ref_qc # IRanges object for exon target
sampname_qc <- qcObj$sampname_qc # sample names
Y_norm <- normObj$Yhat[[optK]] # normalized read count under null (no CNV)
plr <- log(pmax(Y_qc,0.0001)/pmax(Y_norm,0.0001)) # log transformed z-scores
ngs_plr <- lapply(seq_len(ncol(plr)), function(i) plr[,i])
ngs_plr.pos <- lapply(seq_len(ncol(plr)),function(x){return(cbind(start(ref_qc),end(ref_qc)))})
save(sampname_qc,ngs_plr,ngs_plr.pos,file=paste0(projectname,'plrObj_',chr,'_',optK,'.rda'))
For detailed illustration of CODEX, please visit https://github.com/yuchaojiang/CODEX
2.3 sequence variants BAF calling
For sequencing data without sophisticated pipeline and SNVs call set in VCF format, we manually call SNVs from quality controlled BAM files by mpileup module in samtools, and calculate B allele frequency(BAF) on heterogeneous loci by dividing AD (Number of high-quality non-reference bases, FORMAT) from DP (Number of high-quality bases, FORMAT). Example code are:
# Prerequest: samtools, bcftools and reference fasta file
cd PATH/TO/BAM
for i in *bam; do PATH/TO/SAMTOOLS/samtools mpileup -ugI -t AD -t DP -f
PATH/TO/REF/human_hg37.fasta $i | PATH/TO/BAFTOOLS/bcftools
call -cv -O z -o PATH/TO/OUTPUT/$i.vcf.gz; done
# The reference genome depends on your BAM built
for i in *gz; do PATH/TO/BAFTOOLS/bcftools view -g het -i 'FORMAT/DP>10' -O z -o $i.filter $i; done
We could further extract variants BAF info from vcf file by function bambaf_from_vcf.
### 2.3 code chunk number 1: bambaf_from_vcf
projectname <- "icnv.demo."
dir <- system.file("extdata", package="iCNV")
bambaf_from_vcf(dir,'bam_vcf.list',chr=22,projectname)
# ignore chr argement if you want to convert all chromosome 1-22
load(paste0(projectname,'bambaf_22.rda'))
2.4 SNP array LRR normalization and BAF
Because signal intensity files varies from platform, we set a standard signal intensity file format for each individual. The format looks as follow:
Name,Chr,POS,sample_1.Log R Ratio,sample_1.B Allele Freq
rs1,22,15462739,-0.096390619874,0.0443964861333
rs2,22,15520991,-0.154103130102,0.963218688965
rs3,22,15780940,-0.110297381878,0.0457459762692
rs4,22,15863717,-0.21270519495,0.957377910614
rs5,22,16532045,-0.0330782271922,0.0300635993481
First row is the rsid (Name), followed by chromosome (Chr) and position (POS), then the log R ratio (sample1.Log R Ratio) and BAF (sample1.B Allele Freq). We could use function get_array_input to convert into iCNV input. For example, in demo:
### 2.4 code chunk number 1: icnv_array_input
# PATH/TO/FOLDER where you stored the array data
dir <- system.file("extdata", package="iCNV")#PATH/TO/FOLDER where you stored the array data
chr <- 22
projectname <- "icnv.demo."
pattern <- paste0('*.csv.arrayicnv$')
get_array_input(dir,pattern,chr,projectname)
load(paste0(projectname,'array_lrrbaf_',chr,'.rda'))
For some of the SNP array LRR data, we need to apply SVD normalization to remove high dimension noisy and preserve low dimension signal. The best way to decide data sanity is by plotting out the data by plot_intensity
function. Noisy data has the feature of local strip across samples. Conventional way for identifying elbow points as the optK can also apply here. Example code for remove high dimension noisy and plot:
### 2.4 code chunk number 2: svd (optional)
library(iCNV)
projectname <- "icnv.demo."
load(paste0(projectname,'array_lrrbaf_',chr,'.rda'))
# standardize LRR
lrr.sd <- mapply(function(x){
x=pmax(pmin(x,100),-100);(x-mean(x,na.rm=TRUE))/sd(x,na.rm = TRUE)
},snp_lrr,SIMPLIFY = TRUE)
# You may want to substitute all the NAs in lrr by rowMeans
lrr.sd.dena <- apply(lrr.sd,2,function(x){x[is.na(x)]=mean(x,na.rm=TRUE);return(x)})
# lrr is LRR matrix, with row as sample and column as positions
lrr.svd <- svd (t(lrr.sd.dena))
save(lrr.svd,file=paste0(projectname,'array_lrrbaf_svd_',chr,'.rda'))
# Plot out the variance explained with K; You can store the plot in a pdf
# pdf(paste0(projectname,'array_lrrbaf_svd_',chr,'.pdf'),height=8,width=10)
plot(x=seq_len(10),y=(lrr.svd$d[1:10])^2/sum(lrr.svd$d^2),
xlab='rank',ylab='D square',main='Variance explained',type='l')
![](data:image/png;base64,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)
# dev.off() # Close the plot connection
There is no universal rule of picking the optK. Usually we prefer those “elbow points”. We pick optK=2
### 2.4 code chunk number 3: normalization (optional)
library(iCNV)
optK <- 5
D <- diag(lrr.svd$d)
D.lowrank <- diag(c(rep(0,optK),lrr.svd$d[-(seq_len(optK))]))
lrr.denoise <- t(lrr.svd$u %*% D.lowrank %*% t(lrr.svd$v))
snp_lrr <- lapply(seq_len(ncol(lrr.denoise)), function(i) lrr.denoise[,i])
save(snp_lrr,snp_baf,snp_lrr.pos,snp_baf.pos,
file=file.path(dir,paste0(projectname,'array_lrrbaf_',chr,'_svded.rda')))
2.5 Mutiple platform CNV detection using iCNV
At this step, we should already have PLR and variants BAF from sequencing, normalized LRR and BAF from SNP array. All the input should be in list form. This is mainly to accommodate the fact that length for ngs_baf
and ngs_baf.pos
is sample specific
### 2.5 code chunk number 1: iCNV_detection with genotype
str(ngs_plr) # List of n vector, each one is the PLR for an exon
str(ngs_plr.pos) # List of n matrix (p x 2), each one is the start and end location for an exon
str(ngs_baf) # List of n vector, each one is the variants BAF from .bam
str(ngs_baf.pos) # List of n vector, each one is the variants BAF position
str(snp_lrr) # List of n vector, each one is the normalized LRR for a SNP
str(snp_lrr.pos) # List of n vector, each one is a SNP position
str(snp_baf) # List of n vector, each one is the BAF for a SNP
str(snp_baf.pos) # List of n vector, each one is the SNP BAF position
projectname <- 'icnv.demo.'
icnv_res0 <- iCNV_detection(ngs_plr,snp_lrr,
ngs_baf,snp_baf,
ngs_plr.pos,snp_lrr.pos,
ngs_baf.pos,snp_baf.pos,
projname=projectname,CN=1,mu=c(-3,0,2),cap=TRUE,visual = 1)
icnv.output <- output_list(icnv_res0,sampname_qc,CN=1)
head(icnv.output)
The results plot looks are follow. Each row is a sample and each column is a hidden state. The color indicates hidden state Z-score (large positive number prefers amplification, low negative number prefers deletion). Black dots represent amplification detected, while white dots show deletion detected.
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We could further convert icnv.output to Genome Browser input file:
### 2.5 code chunk number 2: covert result to Genome Browser input
icnv.output <- output_list(icnv_res=icnv_res0,sampleid=sampname_qc, CN=0, min_size=10000)
gb_input <- icnv_output_to_gb(22,icnv.output)
write.table(gb_input,file=paste0(projectname,'icnv_res_gb_chr',chr,'.tab'),
quote=FALSE,col.names=FALSE,row.names=FALSE)
The color code for CNV in Genome Browser is:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAHCCAIAAAA4spA0AAAACXBIWXMAABcRAAAXEQHKJvM/AAAgAElEQVR4nO3deXhV5YH48fcSIBC2BIKIWAExsjiguEFUqh3EweIIgtCipWq3qc9Qq/yk1mrx0VorVNTBedo+LhQsYGyxrmAtSzsKBlRs1GGpZVELZZFVEkkCIb8/Ts2kCdAQIC+Bz+cvc3LuOe+9kZtvznvOuany8vIAAAAxNIg9AAAAjl9iFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDQNYw/g+DJ+/Pjf/OY3sUcBABw7GjRoMHz48LFjx8YeSC05MlqnnnvuuRUrVsQeBQBw7Fi2bNlvf/vb2KOoPUdG61rPnj3z8/NjjwIAOEbk5ubGHsIhcWQUAIBoxCgAANGIUQAAonHOaD22e/fu2bNnl5aWxh4IHC/at29/0UUXxR7FEbFgwYL169fHHgUcLxo3bvzFL36xUaNGsQdyVBCj9djs2bOHDBkSexRwHGnQoEFhYWHTpk1jD+Qw27Vr18UXX7x3797YA4HjyHPPPTd48ODYozgqiNF6rKSkJIRwVQjtYo8EjgdvhrBk797du3cfezG6e/fuvXv3hnNCOC/2UOB4sDGEZ//+S5wgRo8BbUI4KfYY4HjQIvYAjrgW3k2gTuyJPYCjjAuYAACIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABBNw9gD4FAtCKF57DHA8WBd7AEccX8OoTD2GKr4UwhlIXQKIXs/KxSGsCKEEMKZITSqs2EdJstDKKq2MBVC4xCah9AmhJZ1MoztIawMoVkI3T9bsiWENSG0DOH0OhlAhVj7rXtH2z+02MRoPZaTk9OuXbuNpaUbY48EjhM9Tz45IyMj9igOv4yMjJ49e65duzasij2Uf7R97/byUJ6xKSN9R/o+V9izZ8/OsDOE0OqDVg0a1LO5vp0lO/eEPVWXlodQEkJJCFtC48aNmzVrdqSHsXv37sJQmFac1nLV3+O3tLS0KBQ12tWo+aojeKxj165d5eXlTZo0qfjB1c1+jxKN2zXOycmJPYqjhRitx3r37r1hw4bYowDqvYYNG7777ruxR7EPWVlZ27dvnzRp0te//vV9rrBw4cKLLroohPDnP/+5Xbt2dTu6Q5Wbm7to0aLRo0ffe++9yZLy8vIPP/ywoKBg+vTpc+bMKS0t/bd/+7cXXnjhiA7j+eefHzJkSO/evd98881kSX5+/qOPPtqjR4+xY8ceuf1+7nOfW7t27eLFi88888y63C9HoXr2dyTHpKysrFQq9cQTT+xvhYULF6ZSqVQqtXFj/TsKnJubm6qmSZMmnTt3HjVq1Lx58w5l488//3wqlTrvvPMO12inT5+eSqUGDBhwuDYIHFiTJk1afSYzM/PMM8+87rrrXnnllbvvvjuE8OKLL06dOrWOh5Sbm/vLX/6y7osw1n6JToxCBCUlJR988MG0adMuvfTSkSNHlpSURBnG7bfffuONN65duzbK3uGoUlRUVFZWFnsUf5dKpcaNG9e/f/8Qwvjx4w99g8mc+KFvp74oLS3dvXt37FFQU2IU6sLo0aO3f2bbtm0FBQVTpkxJDkDm5eUNHz48yqimTZv2i1/8YsuWLRVLTj311Ouvv/6yyy6LMh44XLZu3Tp27NiLL744Kyvr1FNPHTJkyOOPP15lnXnz5qVSqeHDhy9fvvzCCy9s0aJFo0aN2rVrd8MNN2zevDmE8Oabb1577bXdunVr2bLl2WefPWXKlOo9V5Md1dodd9wRQli+fPmf/vSnZMkTTzyRSqWuuuqqKmuWlJQksy5FRX+/JGrkyJGpVGrevHkzZ87MycnJyMjIyMjIzc29+eabk2d3AM8888w+Z0g2bNhw8803X3DBBc2bN2/fvv3w4cPfeeed6g9fs2bNN7/5zb59+2ZmZrZp06ZXr1633nrrhx9+WLFCMrbkz+CzzjorlUo9/fTTB9jvQf00d+zYMWrUqFatWjVu3LhNmzb9+vV75plnDvx8ia+cOtS3b9++ffvGHsVRJzMzM4Tw+OOP72+FBQsWJP+7btiwoS4Hdlj07ds3hHDrrbdW/9bevXuTmbgQQvJ77mA999xzIYRzzz23dmM7+eSTQwgFBQW1ezgcabV7c/if//mfDh06JMsbNvy/SyO++MUvbt26tWK1uXPnhhD69OmTnGzatm3bNm3aJGv27NlzxowZDRs2bNCgQceOHRs3bpws//nPf1557zXc0f4c4M2hQvPmzSvvN4mwIUOGVFmtuLg42XVhYWGy5Mtf/nII4Wtf+1rFqCquEzr55JMXLVpU8djqbyMzZ84MIVx66aWVdzF37tyKs3IbNfr7nQuaNm06bdq0yqtNnTq14iK/9PT0ip1mZ2e///77yTrjx4+/4oormjRpEkLo16/fFVdc8eqrr+5vvwf107zyyitzc3OTEXbq1Kli/QcffPBAP4n6r77XhSOjHF+O7Zm4o4ppMg6X4uLiov349NNPq6y8c+fOESNGrFu37txzz83Pzy8qKtq8efPkyZObN28+e/bs5FhjZYsXL05LS/vDH/6wadOmzZs3P/bYYyGE995775prrrniiis2btz4wQcfrF+//pJLLgkhPPTQQ7XeUe2ccsopIYS//OUvtXv45MmTMzIyHnvssY8//njHjh0vv/xy586d165dO2LEiIM6O2jz5s3Dhg3buHHj4MGDly1bVlJSsmnTprFjx+7atWvUqFEVB243bdp04403fvrpp9/+9rfXrl1bXFxcWlqan5/fo0ePzZs3P/jgg8lq3/ve91588cXs7OwQwiOPPPLiiy/269dvn/s92Bd51qxZb7311sSJEz/55JM1a9Zs3LjxyiuvDCGMGzdu7969B/vqUXdi1/Dxpb7/7XKE1PrI6JYtW2699dbPf/7zmZmZnTt3Hjx48GOPPVblscmfy1dfffWyZcsuuOCCZCbrhBNOuP766z/++OPy8vI33njjmmuu6dq1a4sWLXr37v3LX/5y7969VTZSkx3tzz89+DF//vzk2b399tuVl5eWlv70pz+9/PLLTzzxxNatW/ft2/eRRx6pOOyR2N+R0X/62OSoSWV5eXnl+zkyUcNXoOKl3r59+1e+8pXksEfr1q0vuuiimTNn1vDlgsqSN4eaqHhz+MEPfhBC6NKlS3FxceVN/f73vw8hpKWlLV++PFmS/B8bQvjDH/5Qec2zzz472UJynmVi0aJFycN37959sDvan5ocGR04cGAI4YYbbki+PNgjoyGE2bNnV17z448/Tl7VioOFNTkyOnr06BDCJZdcUuXtMTlh4Kabbkq+TC7879SpU5Xh5eXlhRCq/PqrPjNTfb+1+GneddddVZ5vsrziuOwxqb7XhRitU/X9f5cjxExclZm48vLyVatWnXvuucmO0tLSKqa6zjjjjDVr1lSsts8YrcljTZNRL9QiRs8666wQwqOPPlp9a3369Akh/Nd//VfyZfJ/bHZ2dpXVknO4/9//+3+VF1acWl1RRTXf0f7U5M3h8ssvD4cQo+eff371bSZnB1188cXJlzWJ0RNOOCGE8Lvf/a7KppYsWXLvvfc+9dRTyZd79+7ds2dPWVlZldWS481V3qlqEqMH+9MMIWzbtq3Kmm3btg0h/O///m/1jRwz6ntdmKbnaGEmrmImrry8/JprrnnrrbfOP//8V199taioaOfOna+88kqPHj2WLl161VVX7dlT7UbZn6nhY02TUY/U5C/VRHl5efLvqOLvscqShVWmvJN/BZWlpaWFEJJUqrLwUHZUOx999FEIISsrq3YPT4qtigsvvDAczPC2b9++adOmEEL1u8idffbZd9xxR8VR2FQqlfwBvH79+rlz5z7xxBM//OEPBw8enBxYPVi1eJFPOumk6n/AVPnZcRQSoxwtRo8e3Xw/ql/cff/992/cuLFLly4LFizo27dvctXkDTfc8Nvf/jaE8Oijj65YsaLKQ6ZPn560ZgjhG9/4RsVM3FNPPZX8NmrduvX9998fQli1alVF7dViR7WQxOi2bduSL6dOnbp48eKuXbvOnz+/X79+6enpGRkZl1122fz587OzswsKCpI5r306lMfu08G+AmVlZT/4wQ/GjBlTMU2f3EG2sLBw1aqj7ON9OOZs27YtuZy8ffv21b+bHOCvfFn3AaRSqbrZ0YElMXraaafV7uEnnXRS9YXJG87f/va30tLSmmxkzZo1IYT09PTWrVv/05V//etf9+rV66STThowYMA3vvGN+++/f+XKlcmZ8QerFi9yy5Z18wmqHGZilHpp9uzZIYTbbrstPf0fPiRwwIABffr0KSsrS84oqpCdnV1RookuXbqEEIYMGZI0UyL5cLaysrKKi5wOdke1U+XXXtJ5o0ePrvJJgO3atRs2bFgIYc6cOfvb1KE8dp9q8QrcfPPNlb/Mzs5Opslq+JsPai0rKyv5P3/9+vXVv5t8ZF3FOSdH/45ee+21nTt3hhCSU18OYNeuXftcvs/hrVu3LoTQunXrinOTDixpwZKSkk8++eTAa06ZMuVLX/rS8uXLb7jhhmeffXb16tXFxcVLly696aabarKjKursp0l0Pg6Uo8Xjjz/+Tz/xL/FP524WL15cNzNx1XdUO1Vm4pYvXx5CyMvLq/75TO+//3747EDFPh3KY6urxStgmoyIUqlUTk5OQUHBkiVLevfuXeW7S5YsCSF069atvuwo+ZjQfv36JadOVqh+xkvyD7+6ik/4rCy5GKt79+41HMaJJ57YqlWrHTt2vPvuu5XfikMICxcuvPPOOzt37jx58uQQwsSJE5Nh33bbbZVXq92NNersp0l0YpT655ifiUu+XLhw4f7Wr34SbZVN1e6x1Zkmo94ZOHBgQUHB+PHjv/rVr1Y+8jdv3ryFCxempaVdeumlR/+OysvLJ0yYkEw7/PjHP65Yntzgs/rfwJMmTdrndvLz8+fMmVP5NvJbt2594IEHkvHXfDwDBw58+umnf/KTn8yaNavy8p/97Gd//OMfTz/99OTL5Hb6VdI5hJBcZV8LdfbTJC7T9NQ/x/xMXHK89vXXX9/fRRtvvfXW/rZ2KI+tzjQZ9c7tt99+wgknrFy58uKLL3777bf37NmzY8eOJ598MrkJ0be+9a0zzjjjqNpRaWlpxcWahYWFy5YtmzFjxqBBg77//e+HEIYOHVr54sKePXuGEJYvX/6jH/0oOZuosLBwzJgxBzgXfOjQoVOnTt22bduuXbvmzp3bp0+fLVu2dOjQYcyYMTV/suPHj2/SpMns2bNHjhy5atWq8vLyHTt23HXXXckNSSpurZ9k6MSJEytuPrB69eqRI0cm14xu3LixvNpHWCV/P+9Pnf00iUuMUv8kczfhs2maKg77TNyR3lH1mbiuXbuGEJYuXVp95YKCglmzZh3g3IBDeWx1dfZSw+HSsmXLvLy89u3bL1q06JxzzmnWrFlWVtZ11123c+fOQYMG3XfffUfbjiZNmlRxsWaLFi3OOOOMa6+99uWXXw4hjBgxYsaMGZVX7t2799ChQ0MI48aNa926dU5OTmZm5kMPPdS9e/eOHTtW3/ioUaMaNmx4/fXXt2nTpkWLFgMGDFi5cmX79u3z8vIqPiepJjp27PirX/2qVatWeXl5p512WrNmzTIzM++5554GDRpMmDCh4pr9++67Lz09fc6cOR06dOjatWt2dnaXLl1eeumlhx9+OITw17/+NScnp+Is8+Tv2GHDhnXr1m1/h07r7KdJXGKUeimZYBo/fnyVa2KOxEzckdtReXn5+PHjq8/EDRo0KIQwceLE7du3V15/y5Yt/fv3T+5Ftb9tHspj96nOXmo4XL7whS+89957t9xyy0UXXdS0adNTTjll8ODBkydPfumll2p+49JYO2rcuHHHjh2vueaaOXPmPP3001UuHAwhzJgx46c//WmvXr3KyspWrlxZVlZ24YUX/u53v2vRokX1rZ1zzjnvvPPOf/7nf5599tlNmzY977zzvvOd7xQUFFQ59bMmrr766oKCgm9961vnnHNOgwYNcnJyhg0b9sYbb9xyyy0V6/Tu3XvJkiXDhw8/8cQT169f37Vr1zFjxqxYseK73/3uvffe26lTp02bNlWcPzpp0qSzzz47LS1t27ZtlW9gXEWd/TSJqTY3J6W26vttaY+QWtz0fseOHclNmPv27btkyZLdu3dv37596tSpydvxjTfeWPHY5E7I3bp1q7LN5MZ4Dz/8cOWFFQFXcV/rmu9of5L7Wt90002Fn9m5c+fSpUunT5+e3M46hDB06NDKD9m9e3ePHj2SYc+bN6+wsLCsrGzhwoVnnnlm+Me7WFe/W3XNH1v+2U2nX3jhhYol1W86fegvdXl5+YknnhiO9ZtOQ93761//+uGHH+7zW/t8i+NYVd/rwgVM1EvJ3M21116bzN00btw4+Yy+EMKRmIk79B1NmjRpf1cYjBgx4sknn6y8pGHDhk899dSIESNWrFjRv3//tLS0tLS05MBkTk7OgS8FOKjHdujQYe3atcOGDTv11FMnTJiQ3J3+CL0CwGFX5X4gUE+Zpqe+OrZn4nr16vX222+PGzfuX//1X7Oyslq2bJmbm/vggw++++67yeeaHkDNH2uaDIDoUuXVLm3jyEkul87Pz489EACOZSNHjszLy3v44Ye/+93vxh4LR1x9rwtHRgHgWNO2bdtOnTq57y/1gnNGAeBYc4Dz1OFo48goAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAETTMPYAqL1169bddtttpaWlsQcCx4sOHTo89NBDsUdxRNxyyy3r1q2LPQo4XjRu3Hj8+PEdOnSIPZCjghitx15//fXp06efFEKT2COB48G2ELaFcPfdd7ds2TL2WA6zTz755OGHHw5ZIWTFHgocD4pD+FsYPHjw8OHDYw/lqCBG67Hy8vIQwm9CuCD2SOB4cFcI98Qew5H1nRDujj0GOB68HsKFf/8lTnDOKAAAEYlRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAETTMPYAqL1UKhVCGOinCHViVwjhs393x5i/P6kJITwSeyi1tj2E8hAyQkjfzwp7QtgZQgih1RE+DrMzhD37Wt4ghIYhpNfVW/buEApDSAuh5WdLSkMoCqFRCM3rZAAVYu33aLYnhGP0zaR2ZEw9dskll4wePbq0tDT2QOB4cfLJJ7do0SL2KA6/Fi1a3HPPPWvXro09kNqbMmVKaWnp58/9fLdu3fa5woYNG1544YUQwqgrRzVt2vRgt//GG2+Ulpb27t27WbNmB17zueee27Rp0z6+sTeE0hBKQ5cuXS655JK0tLSDHcNB+eCDD37/+9+3bd32qquuSpasXLly/vz5HU7oMGjQoCO33+ovVN3st95p3LjxJZdcEnsUR4tUeXl57DEcR3Jzc0MI+fn5sQcCcEzJysravn37448//vWvf32fKyxcuPCiiy4KIWzYsKFdu3YHu/3Pfe5za9euLSgoOPPMMw+8Zm5u7qJFi0aPHn3vvfcmS8rLyz/88MOCgoLp06fPmTMnhPDv//7vSRkfOc8///yQIUPOPffcN998M1mSn5//6KOP9ujRY+zYsUduv9VfqLrZ73GuvteFc0apT7KyslKp1BNPPLG/FRYuXJhKpVKp1MaNG4/oSHJzc1PVNGnSpHPnzqNGjZo3b96hbPz5559PpVLnnXfe4Rrt9OnTU6nUgAEDDtcGgQNr0qRJq89kZmaeeeaZ11133SuvvHL33XeHEF588cWpU6fW8ZByc3N/+ctf1n0Rxtov9YgYhf9z++2333jjjbWerCwpKfnggw+mTZt26aWXjhw5sqSk5PAOr4YO8VkAR0gqlRo3blz//v1DCOPHjz/0De7ateu4mt4sLS3dvXt37FFw+IlR+D/Tpk37xS9+sWXLlhquP3r06O2f2bZtW0FBwZQpU5IDkHl5ecOHDz+Sg92v6s/i1FNPvf766y+77LIo44Gj2e7dux944IEvfvGL7du3b9OmTW5u7n//938XFRVVrDBy5MhUKpX8dXfWWWelUqmnn376UPZ4xx13hBCWL1/+pz/9KVnyxBNPpFKpipM7K5SUlCSzLhXjSQYzb968mTNn5uTkZGRkZGRk5Obm3nzzzZs3bz7wfp955pl9zpBs2LDh5ptvvuCCC5o3b96+ffvhw4e/88471R++Zs2ab37zm3379s3MzGzTpk2vXr1uvfXWDz/8sGKF/b1Q+9vv1q1bx44de/HFF2dlZZ166qlDhgx5/PHHq6wzb968VCo1fPjwHTt2jBo1qlWrVo0bN27Tpk2/fv2eeeaZAz9f6hEXMEHtJTNxFV8mk3Ff/epXf/SjH911113JTNx1110XcYSJ3Nzc5IwioLLVq1d/6Utfeuutt0IIaWlp5eXlixYtWrRo0S9+8YuXXnqpU6dOIYTevXsXFhbOnTu3uLi4X79+rVq1Oumkkw5lp1/4wheaN29eWFi4ePHi3r1712ILM2bMmDx5cvLfpaWlyZifeeaZmTNn9unT56A2NW/evGuvvTY5r6lRo0YbNmyYOXPmrFmzHnvssWuvvbZitSeffPLGG2/89NNPQwjp6em7d+/eunXre++9N3Xq1Ndffz0nJycc5Av16quvXnPNNevWrQshNGzYcPv27WvWrHn++eefffbZadOmZWVlVV65tLT08ssvz8/Pb9SoUadOndauXbtgwYIFCxY8+OCDt9xyy0E9X45OjozCYXbYZ+KOKqbJOJoVFxcX7UcSUpWVl5dfc801b7311vnnn//qq68WFRXt3LnzlVde6dGjx9KlS6+66qo9e/aEEL73ve+9+OKL2dnZIYRHHnnkxRdf7Nev3yGO85RTTgkh/OUvf6ndwydPnpyRkfHYY499/PHHO3bsePnllzt37rx27doRI0Yc1NlBmzdvHjZs2MaNGwcPHrxs2bKSkpJNmzaNHTt2165do0aNqjhwu2nTpqREv/3tb69du7a4uLi0tDQ/P79Hjx6bN29+8MEHk9Vq/kLt3LlzxIgR69atO/fcc/Pz84uKijZv3jx58uTmzZvPnj07OXJc2axZs956662JEyd+8skna9as2bhx45VXXhlCGDdu3N69ew/21eMoJEY5LhwNM3E1HMmReBamyThOjB49uvl+VD9NZerUqYsXL+7atev8+fP79euXnp6ekZFx2WWXzZ8/Pzs7u6CgIC8v7wiNM4nRbdu21XoLM2fO/MY3vpGdnd28efOBAwe+8cYbmZmZH3300c9+9rOab+Tuu+/esWPHJZdc8uyzz3bv3j2VSrVt23bChAlXXXVVeXn5lClTktUWL1786aefdurU6ec//3mHDh1CCGlpaX379h03blwIoaCg4GAHf//992/cuLFLly4LFizo27dv8pZyww03/Pa3vw0hPProoytWrKi8fllZ2Q9+8IMxY8Y0adIkhNC6devkMtbCwsJVq1Yd7N45ColRjn2rV6++4IILxo4d+/LLL3/88e1k2qoAAAvGSURBVMfbt29ftGjRd77znT59+nzwwQfJOr17977iiiuSd7p+/fpdccUVh2UmLoSwePHigxpJnT2LV199tVevXg888MCrr75aWFiYzJF985vfHDRoUPXfkck02bRp08rKyjp16vTJJ58sWLDg6quvfuihh2rz6sBRIEmf0aNHV7l1aLt27YYNGxZCSG7DdCQc4t3Ozz///Msvv7zykuzs7GTC+vnnn6/5dn7961+HEL7//e9XGc+dd9557733Vpzbc8UVV+zZs6d69u3cuTOEkBw/PiizZ88OIdx2223p6f/wEQUDBgzo06dPWVnZ73//+yoPufnmmyt/mZ2d3bZt2xCCO20fG8Qo9U89nYmr4Uj26bA/C9NkHJMef/zx8v1YsGBBlZWXL18eQsjLy7uqmtdeey2EsGbNmiM0zo8++iiEUOXMyJrb54mhF154YTiYqf/t27cnN+evfhe5s88++4477vjyl7+cfJlKpdLS0ho0aLB+/fq5c+c+8cQTP/zhDwcPHjx69OhaDL68vDwZ5Lnnnlv9u8nCKs/ipJNOyszMrLLmkf7UAOqSC5iof0aPHl3zN8HKM3EVxz+Smbh/+Zd/SWbivvKVrxyJcZ5yyinLli2rOMp4KCM57M+i8jRZcnAimSY7+eSTL7vsskcfffSmm26q/Ek2ZWVld95555gxY5Ivk2mytm3bJtNkyeULUL8kRbhw4cL9rVD9j9vDu+vTTjutdg/f54xH8tfv3/72t9LS0saNG//TjSSpnZ6e3rp163+68q9//et77733vffeS75s2LDh6aef3r9//+QY50HZtm1bcnJR+/btq383OQ2g8kX6IYSWLVtWX5NjiSOjHOOOnpm4QxnJYX8Wpsng5JNPDiG8/vrr+zuYmlxlf9i99tpryQT3P73Hxa5du/a5fP369dUXJlemt27duiYlGj5rwZKSkk8++eTAa06ZMuVLX/rS8uXLb7jhhmeffXb16tXFxcVLly696aabarKjKrKyspL3sX0+iw0bNoTPkpTjhyOj1D81+cS/ChUzcdU/Fen9998PdTgTdygjObzP4p9Oky1evNg0Gce8rl27rl69eunSpdWjsKCgYN26daeffvqROOqffExov379zjrrrMrLq5/xkvzDr67iEz4rW7RoUQihe/fuNRzGiSee2KpVqx07drz77rtV3jYXLlx45513du7cObmB1MSJE5Nh33bbbZVXq92NNVKpVE5OTkFBwZIlS6rf2WrJkiUhhMrTMhwPxCjHuKNnJu5QRnJ4n4VpMgghDBo06OWXX544ceLVV19d+W+tLVu29O/ff+vWra+99trhjdHy8vIJEyYk0w4//vGPK5Y3atQo7Ot0z0mTJu1zO/n5+XPmzKl8f4ytW7c+8MADIYSBAwfWfDwDBw58+umnf/KTn8yaNavy8p/97Gd//OMfTz/99OTL5Hb6VdI5hPDCCy/UfF9V9ltQUDB+/PivfvWrlY/jzps3b+HChWlpaZdeemnttkw9ZZqeY9zRMxN3KCM5vM/CNBmEEP7jP/6jR48eK1asyM3NnT9/flFR0d69e19//fWkRM8///wqxwvDZ38W1kRpaWnFhZWFhYXLli2bMWPGoEGDvv/974cQhg4dWvniwp49e4YQli9f/qMf/aisrCyEUFhYOGbMmAPcW2ro0KFTp07dtm3brl275s6d26dPny1btnTo0KHixO6aGD9+fJMmTWbPnj1y5MhVq1aVl5fv2LHjrrvumjFjRsOGDb/2ta8lqyUZOnHixIrPdVu9evXIkSMfe+yxEMLGjRurfyTpgV+o22+//YQTTli5cuXFF1/89ttv79mzZ8eOHU8++WTyGVTf+ta3zjjjjJo/C44BYpRjXNeuXUMIS5curf6tgoKCWbNm1fq+0wdWfSbuUEZyeJ9FMk0WPpsRq8I0GceJhg0bPvXUU127dl2xYkX//v1btWrVtGnTCy+88J133snJyaly2C/582zYsGHdunWryRHBSZMmVdzitEWLFmeccca111778ssvhxBGjBgxY8aMyiv37t176NChIYRx48a1bt06JycnMzPzoYce6t69e8eOHatvfNSoUQ0bNrz++uvbtGnTokWLAQMGrFy5sn379nl5eRkZGTV/BTp27PirX/2qVatWeXl5p512WrNmzTIzM++5554GDRpMmDCh4pr9++67Lz09fc6cOR06dOjatWt2dnaXLl1eeumlhx9+OITw17/+NScnp+Is85q8UC1btszLy2vfvv2iRYvOOeecZs2aZWVlXXfddTt37hw0aNB9991X86fAsSFV/Q8ajpzc3Nz33nvPr/laKygoKCsr69ixY3L3ouoKCwv//Oc/hxB69eqVzHx9/PHHH330UZMmTbp161b5HMc9e/YsXbp0z549Xbt2TW4IGkJ47733SktLe/To0bRp0wOPZMWKFUVFRe3atUuOWVaxYcOG5GKCyhuv+Ui2b9++atWqjIyMitO/DvFZbNu2bfXq1S1btqyYc1y3bt2GDRvS09PPOOOMyhda7dy58/3330+lUt27d08enixp0qRJ9WMV77777u7du2vycsGRVos3h8TevXs3bNhQWFiYXC2Unp6elZXVtm3bBg3+4WBNUVHRRx99VFxc3KBBg06dOlX+HOAqkjeHKgtTqVSjRo2aN2/epk2bfZ70Ul5evmnTpi1btpSUlCQnjzZv3rxz584rV67ctWtX7969k/GsWbNm69atn/vc5zIzMzds2FBUVFRcXNy0adNmzZq1b9++YcP/O/Wu+ttI9feBRGlp6fr16z/99NPi4uJGjRplZGSceOKJVaJ2165d69evLyoqKisrS3bXrl27Ro0arV+/fvPmzWVlZZ07d05ek+ov1P72u2fPnuQp7Nq1Ky0tLSMjI/nU+8rreP+poRUrVvTs2TM/Pz/2QGpJjNap8ePH/+Y3v4k9CgDg2NGgQYPhw4ePHTs29kBqSYwCABCNc0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACiEaMAAEQjRgEAiEaMAgAQjRgFACAaMQoAQDRiFACAaMQoAADRiFEAAKIRowAARCNGAQCIRowCABCNGAUAIBoxCgBANGIUAIBoxCgAANGIUQAAohGjAABEI0YBAIhGjAIAEI0YBQAgGjEKAEA0YhQAgGjEKAAA0YhRAACi+f9twkVhnzGLmwAAAABJRU5ErkJggg==)
This is different from the color code for us plotting the data. We are just try to make it coordinate with DGV notation. We could also plot out the data in DGV format by setting col='DGV'
in plotHMMscore
.
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We could also plot information in a single individual using function plotindi
. Example shows below:
### 2.5 code chunk number 3: plotindi
I <- 24 # ploting out the 24th individual
plotindi(ngs_plr,snp_lrr,
ngs_baf,snp_baf,
ngs_plr.pos,snp_lrr.pos,
ngs_baf.pos,snp_baf.pos,
icnv_res0,I)
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2.6 Single platform CNV detection using iCNV
At this step, we should already have PLR and variants BAF from sequencing OR normalized LRR and BAF from SNP array. Please make sure all the input are in list form.
NGS only CNV detection using iCNV. As we showed in the paper, we highly recommend using iCNV for WGS CNV detection.
### 2.6 code chunk number 1: NGS only iCNV_detection
str(ngs_plr) # List of n vector, each one is the PLR for an exon
str(ngs_plr.pos) # List of n matrix (p x 2), each one is the start and end location for an exon
str(ngs_baf) # List of n vector, each one is the variants BAF from .bam
str(ngs_baf.pos) # List of n vector, each one is the variants BAF position
projectname <- 'icnv.demo.ngs.'
icnv_res0_ngs <- iCNV_detection(ngs_plr=ngs_plr, ngs_baf = ngs_baf,
ngs_plr.pos = ngs_plr.pos,ngs_baf.pos = ngs_baf.pos,
projname=projectname,CN=0,mu=c(-3,0,2),cap=TRUE,visual = 2)
icnv.output <- output_list(icnv_res0_ngs,sampname_qc,CN=0)
head(icnv.output)
plotHMMscore(icnv_res0_ngs,title=projectname)
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SNP array only CNV detection using iCNV
### 2.6 code chunk number 2: array only iCNV_detection
str(snp_lrr) # List of n vector, each one is the normalized LRR for a SNP
str(snp_lrr.pos) # List of n vector, each one is a SNP position
str(snp_baf) # List of n vector, each one is the BAF for a SNP
str(snp_baf.pos) # List of n vector, each one is the SNP BAF position
projectname <- 'icnv.demo.snp'
icnv_res0_snp <- iCNV_detection(snp_lrr=snp_lrr, snp_baf = snp_baf,
snp_lrr.pos = snp_lrr.pos,snp_baf.pos = snp_baf.pos,
projname=projectname,CN=1,mu=c(-3,0,2),cap=TRUE,visual = 2)
icnv.output <- output_list(icnv_res0_snp,sampname_qc,CN=1)
head(icnv.output)
plotHMMscore(icnv_res0_snp,title=projectname)
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