Removing Rhistory file
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.Rhistory
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.Rhistory
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################# Linear model: Least-Squares Fit #################
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g.breaks <- g.hist$breaks[-c(1)] # remove 0
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g.probs <- g.hist$density[-1] # make lengths match
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# Need to clean up probabilities that are 0
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nz.probs.mask <- g.probs!=0
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g.breaks.clean <- g.breaks[nz.probs.mask]
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g.probs.clean <- g.probs[nz.probs.mask]
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plot(log(g.breaks.clean), log(g.probs.clean))
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g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean))
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summary(g.fit)
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alpha.LM <- coef(g.fit)[2]
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lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3, lwd=3)
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################# Max-Log-Likelihood #################
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n <- length(g.breaks.clean)
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kmin <- g.breaks.clean[1]
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alpha.ML <- 1 + n/sum(log(g.breaks.clean/kmin))
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alpha.ML
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lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4, lwd=3)
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plot(log(g.breaks.clean), log(g.probs.clean))
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g.breaks.clean <- g.breaks[nz.probs.mask]
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g.probs.clean <- g.probs[nz.probs.mask]
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plot(log(g.breaks.clean), log(g.probs.clean))
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# Lab 9 for the University of Tulsa's CS-6643 Bioinformatics Course
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# Pairwise Sequence Alignment with Dynamic Programming
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# Professor: Dr. McKinney, Fall 2022
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# Noah L. Schrick - 1492657
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## Set Working Directory to file directory - RStudio approach
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setwd(dirname(rstudioapi::getActiveDocumentContext()$path))
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#### Part A: Specifying the Input
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## Score Rules and Seqs
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x_str <- "ATAC" # side sequence
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y_str <- "GTGTAC" # top sequence
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match_score <- 3
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mismatch_score <- -1
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gap_penalty <- -4
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## Substitution Matrix
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dna.letters<-c("A","C","G","T")
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num.letters <- length(dna.letters)
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S<-data.frame(matrix(0,nrow=num.letters,ncol=num.letters)) # data frame
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rownames(S)<-dna.letters; colnames(S)<-dna.letters
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for (i in 1:4){
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for (j in 1:4){
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if(dna.letters[i]==dna.letters[j]){
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S[i,j]<- match_score
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}
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else{
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S[i,j]<- mismatch_score
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}
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}
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}
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#### Part B: Alignment Score Matrix (F) and Traceback Matrix (T)
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x <- unlist(strsplit(x_str, ""))
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y <- unlist(strsplit(y_str, ""))
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x.len <- length(x)
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y.len <- length(y)
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Fmat<-matrix(0,nrow=x.len+1,ncol=y.len+1)
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Tmat<-Fmat # 0's to start
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rownames(Fmat)<-c("-",x); colnames(Fmat)<-c("-",y)
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rownames(Tmat)<-c("-",x); colnames(Tmat)<-c("-",y)
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# create first row and column
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Fmat[,1]<- seq(from=0,len=x.len+1,by=-abs(gap_penalty))
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Fmat[1,]<- seq(from=0,len=y.len+1,by=-abs(gap_penalty))
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Tmat[,1]<- rep(2,x.len+1) # 2 means align with a gap in the upper seq
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Tmat[1,]<- rep(3,y.len+1) # 3 means align with a gap in the side seq
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x
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T
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Tmat
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Fmat
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#### Part C: Building Fmat and Tmat
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my.numbers <- c(7,9,-4)
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max(my.numbers)
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which.max(my.numbers)
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#### Part C: Building Fmat and Tmat
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my.numbers <- c(9,9,-4)
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which.max(my.numbers)
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S[1,1]
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S
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S[1,2]
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rowname(Fmat[i])
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(Fmat[1])
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(Fmat[2])
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(Fmat[2,])
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rownames(Fmat)
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rownames(Fmat[1])
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rownames(Fmat[2])
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rownames(Fmat[2,1])
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rownames(Fmat)[1]
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rownames(Fmat)[2]
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S[rownames(Fmat)[2], colnames(Fmat)[2])
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S[rownames(Fmat)[2], colnames(Fmat)[2]]
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#### Part C: Building Fmat and Tmat
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for (i in 2:nrow(Fmat)){
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for (j in 2:ncol(Fmat)){ # use F recursive rules
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test_three_cases <- c(Fmat[i-1, j-1] + S[rownames(Fmat)[i], colnames(Fmat)[j]], # 1 mis/match
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# Fmat[i-1, j] + gap_penalty, # 2 up-gap
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Fmat[i, j-1] + gap_penalty) # 3 left-gap
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Fmat[i,j]=max(test_three_cases)
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Tmat[i,j]=which.max(test_three_cases)
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}
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}
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final_score <- Fmat[nrow(Fmat),ncol(Fmat)]
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Fmat
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final_score
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#### Part C: Building Fmat and Tmat
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for (i in 2:nrow(Fmat)){
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for (j in 2:ncol(Fmat)){ # use F recursive rules
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test_three_cases <- c(Fmat[i-1, j-1] + S[rownames(Fmat)[i], colnames(Fmat)[j]], # 1 mis/match
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Fmat[i-1, j] + gap_penalty, # 2 up-gap
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Fmat[i, j-1] + gap_penalty) # 3 left-gap
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Fmat[i,j]=max(test_three_cases)
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Tmat[i,j]=which.max(test_three_cases)
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}
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}
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final_score <- Fmat[nrow(Fmat),ncol(Fmat)]
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Fmat
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gap_penalty
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Fmat[1,5]
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Fmat[1,6]
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Tmat
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final_score
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## Aligning from Tmat
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m <- nrow(Fmat)
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n <- ncol(Fmat)
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top_seq <- list()
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side_seq <- list()
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while (m>0 && n>0){
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if (Tmat[m,n] == 3){
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top_seq.append(rownames(Tmat)[m])
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side_seq.append("-")
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m--
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} else if (Tmat[m,n] == 2){
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while (m>0 && n>0){
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if (Tmat[m,n] == 3){
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top_seq.append(rownames(Tmat)[m])
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side_seq.append("-")
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m--
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}
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else if (Tmat[m,n] == 2){
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while (m>0 && n>0){
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if (Tmat[m,n] == 3){
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top_seq.append(rownames(Tmat)[m])
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side_seq.append("-")
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m--
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}
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while (m>0 && n>0){
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if (Tmat[m,n] == 3){
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top_seq.append(rownames(Tmat)[m])
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side_seq.append("-")
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m--
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} else if (Tmat[m,n] == 2){
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n <- n-1
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while (m>0 && n>0){
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if (Tmat[m,n] == 3){
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top_seq.append(rownames(Tmat)[m])
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side_seq.append("-")
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m <- m-1
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} else if (Tmat[m,n] == 2){
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top_seq.append("-")
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side_seq.append(colnames(Tmat)[n])
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n <- n-1
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} else{
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top_seq.append(rownames(Tmat)[m])
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side_seq.append(colnames(Tmat)[n])
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m <- m-1
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n <- n-1
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}
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}
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while (m>0 && n>0){
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if (Tmat[m,n] == 3){
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top_seq <- append(top_seq, rownames(Tmat)[m])
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side_seq <- append(side_seq, "-")
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m <- m-1
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} else if (Tmat[m,n] == 2){
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top_seq <- append(top_seq, "-")
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side_seq <- append(side_seq, colnames(Tmat)[n])
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n <- n-1
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} else{
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top_seq <- append(top_seq, rownames(Tmat)[m])
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side_seq <- append(side_seq, colnames(Tmat)[n])
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m <- m-1
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n <- n-1
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}
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}
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top_seq
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side_seq
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top_seq[1]
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paste(top_seq, collapse=',')
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paste(top_seq, collapse=',')
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paste(side_seq, collapse=',')
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paste(rev(top_seq), collapse=',')
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paste(rev(side_seq), collapse=',')
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## Aligning from Tmat
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m <- nrow(Fmat)
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n <- ncol(Fmat)
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m
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Tmat[5,5]
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rownames(Tmat)[5]
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colnames(Tmat)[5]
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n
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rownames(Tmat)[5,7]
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rownames(Tmat)[7]
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colnames(Tmat)[7]
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paste(rev(top_seq), collapse=',')
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paste(rev(side_seq), collapse=',')
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side_seq <- list()
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top_seq <- list()
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top_seq <- append(top_seq, rownames(Tmat)[m])
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side_seq <- append(side_seq, colnames(Tmat)[n])
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paste(rev(top_seq), collapse=',')
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paste(rev(side_seq), collapse=',')
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m <- m-1
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n <- n-1
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top_seq <- append(top_seq, rownames(Tmat)[m])
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side_seq <- append(side_seq, colnames(Tmat)[n])
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m <- m-1
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n <- n-1
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paste(rev(top_seq), collapse=',')
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paste(rev(side_seq), collapse=',')
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top_seq <- append(top_seq, rownames(Tmat)[m])
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side_seq <- append(side_seq, colnames(Tmat)[n])
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m <- m-1
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n <- n-1
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paste(rev(top_seq), collapse=',')
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paste(rev(side_seq), collapse=',')
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?rbind
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curr_align_col <- rbind(x[n-1],y[m-1])
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curr_align_col
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## Aligning from Tmat
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m <- nrow(Tmat)
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n <- ncol(Tmat)
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seq_align <- character()
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while ((n+m) != 2){
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if (Tmat[m,n] == 3){
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curr_align_col <- rbind("-",y[m-1])
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alignment <- cbind(curr_align_col,alignment)
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m <- m-1
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} else if (Tmat[m,n] == 2){
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curr_align_col <- rbind(x[n-1],"-")
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alignment <- cbind(curr_align_col,alignment)
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n <- n-1
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} else{
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curr_align_col <- rbind(x[n-1], y[m-1])
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alignment <- cbind(curr_align_col, alignment)
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m <- m-1
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n <- n-1
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}
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}
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seq_align <- character()
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while ((n+m) != 2){
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if (Tmat[m,n] == 3){
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curr_align_col <- rbind("-",y[m-1])
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seq_align <- cbind(curr_align_col,seq_align)
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m <- m-1
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} else if (Tmat[m,n] == 2){
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curr_align_col <- rbind(x[n-1],"-")
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seq_align <- cbind(curr_align_col,seq_align)
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n <- n-1
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} else{
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curr_align_col <- rbind(x[n-1], y[m-1])
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seq_align <- cbind(curr_align_col, seq_align)
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m <- m-1
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n <- n-1
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}
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}
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?cbind
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## Aligning from Tmat
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n <- nrow(Tmat)
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m <- ncol(Tmat)
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seq_align <- character()
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while ((n+m) != 2){
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if (Tmat[m,n] == 3){
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curr_align_col <- rbind("-",y[m-1])
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seq_align <- cbind(curr_align_col,seq_align)
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m <- m-1
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} else if (Tmat[m,n] == 2){
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curr_align_col <- rbind(x[n-1],"-")
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seq_align <- cbind(curr_align_col,seq_align)
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n <- n-1
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} else{
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curr_align_col <- rbind(x[n-1], y[m-1])
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seq_align <- cbind(curr_align_col, seq_align)
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m <- m-1
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n <- n-1
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}
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}
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## Aligning from Tmat
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m <- nrow(Tmat)
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n <- ncol(Tmat)
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seq_align <- character()
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while ((n+m) != 2){
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if (Tmat[m,n] == 3){
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curr_align_col <- rbind("-",y[m-1])
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seq_align <- cbind(curr_align_col,seq_align)
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m <- m-1
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} else if (Tmat[m,n] == 2){
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curr_align_col <- rbind(x[n-1],"-")
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seq_align <- cbind(curr_align_col,seq_align)
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n <- n-1
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} else{
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curr_align_col <- rbind(x[n-1], y[m-1])
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seq_align <- cbind(curr_align_col, seq_align)
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m <- m-1
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n <- n-1
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}
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}
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seq_align
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curr_align_col
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x
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y
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n
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m
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## Aligning from Tmat
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n<-nrow(Tmat) # start at bottom right of Tmat
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m<-ncol(Tmat)
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alignment<-character()
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while( (n+m)!=2 ){
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if (Tmat[n,m]==1){
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# subtract 1 from x and y indices because they are
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# one row/col smaller than Tmat
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curr_align_col <- rbind(x[n-1],y[m-1])
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alignment <- cbind(curr_align_col,alignment)
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n=n-1; m=m-1; # move back diagonally
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}else if(Tmat[n,m]==2){
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curr_align_col <- rbind(x[n-1],"-") # put gap in top seq
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alignment <- cbind(curr_align_col,alignment)
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n=n-1 # move up
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}else{
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curr_align_col <- rbind("-",y[m-1]) # put gap in side seq
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alignment <- cbind(curr_align_col,alignment)
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m=m-1 # move left
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}
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} # end while
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alignment
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## Aligning from Tmat
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n <- nrow(Tmat)
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m <- ncol(Tmat)
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seq_align <- character()
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while( (n+m)!=2 ){
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if (Tmat[n,m]==1){
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curr_align_col <- rbind(x[n-1],y[m-1])
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seq_align <- cbind(curr_align_col,seq_align)
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n <- n-1
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m <- m-1
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}else if(Tmat[n,m]==2){
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curr_align_col <- rbind(x[n-1],"-") # put gap in top seq
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seq_align <- cbind(curr_align_col,seq_align)
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n=n-1 # move up
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}else{
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curr_align_col <- rbind("-",y[m-1]) # put gap in side seq
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seq_align <- cbind(curr_align_col,seq_align)
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m=m-1 # move left
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}
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} # end while
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alignment
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## Aligning from Tmat
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n <- nrow(Tmat)
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m <- ncol(Tmat)
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seq_align <- character()
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while( (n+m)!=2 ){
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if (Tmat[n,m]==1){
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curr_align_col <- rbind(x[n-1],y[m-1])
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seq_align <- cbind(curr_align_col,seq_align)
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n <- n-1
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m <- m-1
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}else if(Tmat[n,m]==2){
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curr_align_col <- rbind(x[n-1],"-")
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seq_align <- cbind(curr_align_col,seq_align)
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n <- n-1
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}else{
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curr_align_col <- rbind("-",y[m-1])
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seq_align <- cbind(curr_align_col,seq_align)
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m <- m-1
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}
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} # end while
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alignment
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seq_align
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#### Part D: Convert to functions
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make.alignment.matrices <- function(x_str, y_str, match_score, mismatch_score,
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gap_penalty){
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## Substitution Matrix
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dna.letters<-c("A","C","G","T")
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num.letters <- length(dna.letters)
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S<-data.frame(matrix(0,nrow=num.letters,ncol=num.letters)) # data frame
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rownames(S)<-dna.letters; colnames(S)<-dna.letters
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for (i in 1:4){
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for (j in 1:4){
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if(dna.letters[i]==dna.letters[j]){
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S[i,j]<- match_score
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}
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else{
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S[i,j]<- mismatch_score
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}
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}
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}
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## F Matrix and T Matrix
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x <- unlist(strsplit(x_str, ""))
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y <- unlist(strsplit(y_str, ""))
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x.len <- length(x)
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y.len <- length(y)
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Fmat<-matrix(0,nrow=x.len+1,ncol=y.len+1)
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Tmat<-Fmat # 0's to start
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rownames(Fmat)<-c("-",x); colnames(Fmat)<-c("-",y)
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rownames(Tmat)<-c("-",x); colnames(Tmat)<-c("-",y)
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# create first row and column
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Fmat[,1]<- seq(from=0,len=x.len+1,by=-abs(gap_penalty))
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Fmat[1,]<- seq(from=0,len=y.len+1,by=-abs(gap_penalty))
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Tmat[,1]<- rep(2,x.len+1) # 2 means align with a gap in the upper seq
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Tmat[1,]<- rep(3,y.len+1) # 3 means align with a gap in the side seq
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## Building Fmat and Tmat
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for (i in 2:nrow(Fmat)){
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for (j in 2:ncol(Fmat)){ # use F recursive rules
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test_three_cases <- c(Fmat[i-1, j-1] + S[rownames(Fmat)[i], colnames(Fmat)[j]], # 1 mis/match
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Fmat[i-1, j] + gap_penalty, # 2 up-gap
|
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Fmat[i, j-1] + gap_penalty) # 3 left-gap
|
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Fmat[i,j]=max(test_three_cases)
|
||||
Tmat[i,j]=which.max(test_three_cases)
|
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}
|
||||
}
|
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final_score <- Fmat[nrow(Fmat),ncol(Fmat)]
|
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return(list(Fmat=Fmat, Tmat=Tmat, score_out=final_score))
|
||||
}
|
||||
# load new input
|
||||
x_str2 <- "GATTA" # side sequence
|
||||
y_str2 <- "GAATTC" # top sequence
|
||||
match_score <- 2
|
||||
mismatch_score <- -1
|
||||
gap_penalty <- -2
|
||||
align.list2 <- make.alignment.matrices(x_str2, y_str2, match_score,
|
||||
mismatch_score, gap_penalty)
|
||||
align.list2$Fmat
|
||||
align.list2$Tmat
|
||||
align.list2$score_out
|
||||
if (!require("gplots")) install.packages("gplots")
|
||||
library(gplots)
|
||||
Fmat2 <- align.list2$Fmat
|
||||
col = c("black","blue","red","yellow","green")
|
||||
breaks = seq(min(Fmat2),max(Fmat2),len=length(col)+1)
|
||||
heatmap.2(Fmat2[-1,-1], dendrogram='none', density.info="none",
|
||||
Rowv=FALSE, Colv=FALSE, trace='none',
|
||||
breaks = breaks, col = col,
|
||||
sepwidth=c(0.01,0.01),
|
||||
sepcolor="black",
|
||||
colsep=1:ncol(Fmat2),
|
||||
rowsep=1:nrow(Fmat2))
|
||||
#### Part E: Traceback Matrix
|
||||
show.alignment <- function(x_str,y_str,Tmat){
|
||||
################ create the alignment
|
||||
# input Tmat and the two sequences: x side seq and y is top seq
|
||||
# make character vectors out of the strings
|
||||
x<-unlist(strsplit(x_str,""))
|
||||
y<-unlist(strsplit(y_str,""))
|
||||
n<-nrow(Tmat) # start at bottom right of Tmat
|
||||
m<-ncol(Tmat)
|
||||
alignment<-character()
|
||||
while( (n+m)!=2 ){
|
||||
if (Tmat[n,m]==1){
|
||||
# subtract 1 from x and y indices because they are
|
||||
# one row/col smaller than Tmat
|
||||
curr_align_col <- rbind(x[n-1],y[m-1])
|
||||
alignment <- cbind(curr_align_col,alignment)
|
||||
n=n-1; m=m-1; # move back diagonally
|
||||
}else if(Tmat[n,m]==2){
|
||||
curr_align_col <- rbind(x[n-1],"-") # put gap in top seq
|
||||
alignment <- cbind(curr_align_col,alignment)
|
||||
n=n-1 # move up
|
||||
}else{
|
||||
curr_align_col <- rbind("-",y[m-1]) # put gap in side seq
|
||||
alignment <- cbind(curr_align_col,alignment)
|
||||
m=m-1 # move left
|
||||
}
|
||||
} # end while
|
||||
return(alignment)
|
||||
} # end function
|
||||
alignment2 <- show.alignment(x_str2,y_str2,align.list2$Tmat)
|
||||
alignment2
|
||||
write.table(alignment2,row.names=F,col.names=F,quote=F)
|
||||
## Input 3
|
||||
x_str3 <- "ATCGT" # side sequence
|
||||
y_str3 <- "TGGTG" # top sequence
|
||||
match_score <- 1
|
||||
mismatch_score <- -2
|
||||
gap_penalty <- -1
|
||||
align.list3 <- make.alignment.matrices(x_str3, y_str3, match_score,
|
||||
mismatch_score, gap_penalty)
|
||||
align.list3$Fmat
|
||||
align.list3$Tmat
|
||||
align.list3$score_out
|
||||
col = c("black","blue","red","yellow","green")
|
||||
breaks = seq(min(Fmat3),max(Fmat3),len=length(col)+1)
|
||||
heatmap.2(Fmat3[-1,-1], dendrogram='none', density.info="none",
|
||||
Rowv=FALSE, Colv=FALSE, trace='none',
|
||||
breaks = breaks, col = col,
|
||||
sepwidth=c(0.01,0.01),
|
||||
sepcolor="black",
|
||||
colsep=1:ncol(Fmat3),
|
||||
rowsep=1:nrow(Fmat3))
|
||||
Fmat3 <- align.list3$Fmat
|
||||
align.list3$Fmat
|
||||
Fmat3 <- align.list3$Fmat
|
||||
align.list3$Tmat
|
||||
align.list3$score_out
|
||||
o
|
||||
heatmap.2(Fmat3[-1,-1], dendrogram='none', density.info="none",
|
||||
Rowv=FALSE, Colv=FALSE, trace='none',
|
||||
breaks = breaks, col = col,
|
||||
sepwidth=c(0.01,0.01),
|
||||
sepcolor="black",
|
||||
colsep=1:ncol(Fmat3),
|
||||
rowsep=1:nrow(Fmat3))
|
||||
alignment3 <- show.alignment(x_str3,y_str3,align.list3$Tmat)
|
||||
alignment3
|
||||
write.table(alignment3,row.names=F,col.names=F,quote=F)
|
||||
Loading…
x
Reference in New Issue
Block a user