From 0b75bc95d65e5e8deff3f8fb4b545d63cfd3c959 Mon Sep 17 00:00:00 2001 From: noah Date: Mon, 21 Nov 2022 18:30:56 -0600 Subject: [PATCH] Finalizing multidimensional scaling --- .Rhistory | 328 +++++++++++++++---------------- 3D_plot.png | Bin 0 -> 56963 bytes Schrick-Noah_CS-6643_Lab-10.R | 54 +++++ Schrick-Noah_CS-6643_Lab-10.docx | Bin 393712 -> 472194 bytes Schrick-Noah_CS-6643_Lab-10.pdf | Bin 0 -> 463651 bytes 5 files changed, 218 insertions(+), 164 deletions(-) create mode 100644 3D_plot.png create mode 100644 Schrick-Noah_CS-6643_Lab-10.pdf diff --git a/.Rhistory b/.Rhistory index 58aa9db..b4012c5 100644 --- a/.Rhistory +++ b/.Rhistory @@ -1,107 +1,3 @@ -################# Max-Log-Likelihood ################# -n <- length(g.breaks.clean) -kmin <- g.breaks.clean[1] -alpha.ML <- 1 + n/sum(log(g.breaks.clean)/kmin) -alpha.ML -lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) -# Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course -# Degree Distribution -# Professor: Dr. McKinney, Spring 2022 -# Noah Schrick - 1492657 -library(igraph) -library(igraphdata) -data(yeast) -g <- yeast -g.netname <- "Yeast" -################# Set up Work ################# -g.vec <- degree(g) -g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, -" Network")) -legend("topright", c("Guess", "Poisson", "Least-Squares Fit", -"Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", -"#006CD1", "#E66100", "#D35FB7")) -g.mean <- mean(g.vec) -g.seq <- 0:max(g.vec) # x-axis -################# Guessing Alpha ################# -alpha.guess <- 1.5 -lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1) -################# Poisson ################# -g.pois <- dpois(g.seq, g.mean, log=F) -lines(g.seq, g.pois, col="#006CD1", lty=2) -################# Linear model: Least-Squares Fit ################# -g.breaks <- g.hist$breaks[-c(1,2,3)] # remove 0 -g.probs <- g.hist$density[-1] # make lengths match -# Need to clean up probabilities that are 0 -nz.probs.mask <- g.probs!=0 -g.breaks.clean <- g.breaks[nz.probs.mask] -g.probs.clean <- g.breaks[nz.probs.mask] -#plot(log(g.breaks.clean), log(g.probs.clean)) -g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) -summary(g.fit) -alpha.LM <- coef(g.fit)[2] -lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3) -################# Max-Log-Likelihood ################# -n <- length(g.breaks.clean) -kmin <- g.breaks.clean[1] -alpha.ML <- 1 + n/sum(log(g.breaks.clean)/kmin) -alpha.ML -lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) -# Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course -# Degree Distribution -# Professor: Dr. McKinney, Spring 2022 -# Noah Schrick - 1492657 -library(igraph) -library(igraphdata) -data(yeast) -g <- yeast -g.netname <- "Yeast" -################# Set up Work ################# -g.vec <- degree(g) -g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, -" Network")) -legend("topright", c("Guess", "Poisson", "Least-Squares Fit", -"Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", -"#006CD1", "#E66100", "#D35FB7")) -g.mean <- mean(g.vec) -g.seq <- 0:max(g.vec) # x-axis -################# Guessing Alpha ################# -alpha.guess <- 1.5 -lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1) -################# Poisson ################# -g.pois <- dpois(g.seq, g.mean, log=F) -lines(g.seq, g.pois, col="#006CD1", lty=2) -################# Linear model: Least-Squares Fit ################# -g.breaks <- g.hist$breaks[-c(1)] # remove 0 -g.probs <- g.hist$density[-1] # make lengths match -# Need to clean up probabilities that are 0 -nz.probs.mask <- g.probs!=0 -g.breaks.clean <- g.breaks[nz.probs.mask] -g.probs.clean <- g.breaks[nz.probs.mask] -#plot(log(g.breaks.clean), log(g.probs.clean)) -g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) -summary(g.fit) -alpha.LM <- coef(g.fit)[2] -lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3) -################# Max-Log-Likelihood ################# -n <- length(g.breaks.clean) -kmin <- g.breaks.clean[1] -alpha.ML <- 1 + n/sum(log(g.breaks.clean)/kmin) -alpha.ML -lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) -# Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course -# Degree Distribution -# Professor: Dr. McKinney, Spring 2022 -# Noah Schrick - 1492657 -library(igraph) -library(igraphdata) -data(yeast) -g <- yeast -g.netname <- "Yeast" -################# Set up Work ################# -g.vec <- degree(g) -g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, -" Network")) -legend("topright", c("Guess", "Poisson", "Least-Squares Fit", "Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", "#006CD1", "#E66100", "#D35FB7")) g.mean <- mean(g.vec) @@ -406,6 +302,13 @@ plot(log(g.breaks.clean), log(g.probs.clean)) g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] plot(log(g.breaks.clean), log(g.probs.clean)) +BiocManager::install() +BiocManager::install() +BiocManager::install("stringi") +# Lab 10 for the University of Tulsa's CS-6643 Bioinformatics Course +# Phylogenetic Analysis +# Professor: Dr. McKinney, Fall 2022 +# Noah L. Schrick - 1492657 ## Set Working Directory to file directory - RStudio approach setwd(dirname(rstudioapi::getActiveDocumentContext()$path)) #### Part A: GenBank sequences and a multiple fasta file @@ -420,17 +323,15 @@ mtDNA.MultiSeqs.list<-read.GenBank(c("AF011222","AF254446","X90314","AF089820", mtDNA.Species<-attr(mtDNA.MultiSeqs.list,"species") # use species as name instead of genbank id names(mtDNA.MultiSeqs.list)<-mtDNA.Species -names(mtDNA.MultiSeqs.list) # need to fix some names names(mtDNA.MultiSeqs.list)[1] <- paste("German_Neanderthal",sep="") names(mtDNA.MultiSeqs.list)[2] <- paste("Russian_Neanderthal",sep="") names(mtDNA.MultiSeqs.list)[3] <- paste("Human") names(mtDNA.MultiSeqs.list)[6] <- paste("Puti_Orangutan",sep="") names(mtDNA.MultiSeqs.list)[12] <- paste("Jari_Orangutan",sep="") -names(mtDNA.MultiSeqs.list) +length(mtDNA.MultiSeqs.list$Human) # look at one of the sequences using $ mtDNA.MultiSeqs.list$Human -length(mtDNA.MultiSeqs.list$Human) ## Convert to Biostrings object for the sequences if (!require("BiocManager")) install.packages("BiocManager") library(BiocManager) @@ -450,63 +351,162 @@ names(mtDNA.multSeqs.bstr) <- Names.vec # count nucs and sequence lengths num.nts <- alphabetFrequency(mtDNA.multSeqs.bstr)[,1:4] mtDNA.lengths <- rowSums(num.nts) proportion.nts <- num.nts/mtDNA.lengths -num.nts -names(mtDA.multSeqs.bstr) -names(mtDNA.multSeqs.bstr) -mtDNA.multSeqs.bstr -mtDNA.multSeqs.bstr -mtDNA.multSeqs.bstr -mtDNA.multSeqs.bstr --help -print(mtDNA.multSeqs.bstr) -print(mtDNA.multSeqs.bstr, -n40) -print(mtDNA.multSeqs.bstr, -n 40) -print(mtDNA.multSeqs.bstr, n=20) -class(mtDNA.multSeqs.bstr) -print(mtDNA.multSeqs.bstr) -?print() -?print -table(mtDNA.multSeqs.bstr) -mtDNA.multSeqs.bstr -mtDNA.multSeqs.bstr$width -mtDNA.multSeqs.bstr[,1]$width -mtDNA.multSeqs.bstr[1,]$width -mtDNA.multSeqs.bstr[1]$width -mtDNA.multSeqs.bstr[1] -mtDNA.multSeqs.bstr[1]$seq -mtDNA.multSeqs.bstr[1]$width -mtDNA.multSeqs.bstr[1]$names -mtDNA.multSeqs.bstr$names +# Obtain name and length of species with longest sequence +nlengthnames <- cbind(mtDNA.lengths, Names.vec) +idx <- which.max(nlengthnames[,1]) +nlengthnames[idx,] +#### Part B: Multiple Sequence Alignment +if (!require("BiocManager")) install.packages("BiocManager") +library(BiocManager) +if (!require("msa")) BiocManager::install("msa") +library(msa) +msa(mtDNA.multSeqs.bstr,method="ClustalOmega") +msa(mtDNA.multSeqs.bstr,method="Muscle") +# Lab 10 for the University of Tulsa's CS-6643 Bioinformatics Course +# Phylogenetic Analysis +# Professor: Dr. McKinney, Fall 2022 +# Noah L. Schrick - 1492657 +## Set Working Directory to file directory - RStudio approach +setwd(dirname(rstudioapi::getActiveDocumentContext()$path)) +#### Part A: GenBank sequences and a multiple fasta file +if (!require("ape")) install.packages("ape") +library(ape) # needed for read.GenBank +# fetch the mtDNA sequences +mtDNA.MultiSeqs.list<-read.GenBank(c("AF011222","AF254446","X90314","AF089820", +"AF176766","AF451972", "AY079510", +"AF050738","AF176722","AF315498", +"AF176731","AF451964"), as.character=TRUE) +# look at species names +mtDNA.Species<-attr(mtDNA.MultiSeqs.list,"species") +# use species as name instead of genbank id +names(mtDNA.MultiSeqs.list)<-mtDNA.Species +# need to fix some names +names(mtDNA.MultiSeqs.list)[1] <- paste("German_Neanderthal",sep="") +names(mtDNA.MultiSeqs.list)[2] <- paste("Russian_Neanderthal",sep="") +names(mtDNA.MultiSeqs.list)[3] <- paste("Human") +names(mtDNA.MultiSeqs.list)[6] <- paste("Puti_Orangutan",sep="") +names(mtDNA.MultiSeqs.list)[12] <- paste("Jari_Orangutan",sep="") +length(mtDNA.MultiSeqs.list$Human) +# look at one of the sequences using $ +mtDNA.MultiSeqs.list$Human +## Convert to Biostrings object for the sequences +if (!require("BiocManager")) install.packages("BiocManager") +library(BiocManager) +if (!require("Biostrings")) BiocManager::install("Biostrings") +library(Biostrings) +# loop through the list to create vector of strings for Biostrings input +Names.vec <- c() # initialize speices names string vector +Seqs.vec <- c() # initialize sequence string vector +for (mtDNA.name in names(mtDNA.MultiSeqs.list)) +{ +Names.vec <- c(Names.vec,mtDNA.name) # concatenate vector +Seqs.vec <-c(Seqs.vec,paste(mtDNA.MultiSeqs.list[[mtDNA.name]],collapse="")) +} +mtDNA.multSeqs.bstr <- DNAStringSet(Seqs.vec) # convert to Biostring # name the Biostring sequences and compute stats names(mtDNA.multSeqs.bstr) <- Names.vec # count nucs and sequence lengths -mtDNA.multSeqs.bstr$names -mtDNA.multSeqs.bstr$Names -mtDNA.lengths -table(mtDNA.lengths, Names.vec) -cbind(mtDNA.lengths, Names.vec) -sort(cbind(mtDNA.lengths, Names.vec)) -cbind(mtDNA.lengths, Names.vec) -cbind(mtDNA.lengths, Names.vec) -table(cbind(mtDNA.lengths, Names.vec)) -rbind(cbind(mtDNA.lengths, Names.vec)) -sort(rbind(cbind(mtDNA.lengths, Names.vec))) -rbind(mtDNA.lengths, Names.vec) -cbind(mtDNA.lengths, Names.vec) -max(cbind(mtDNA.lengths, Names.vec)) -max(cbind(mtDNA.lengths, Names.vec))[,1] -max(cbind(mtDNA.lengths, Names.vec)[,1]) -max(cbind(mtDNA.lengths, Names.vec)[1,]) -max(cbind(mtDNA.lengths, Names.vec)[,1]) -max(cbind(mtDNA.lengths, Names.vec)) -cbind(mtDNA.lengths, Names.vec) -nlengthnames <- cbind(mtDNA.lengths, Names.vec) -max(nlengthnames[,1]) -nlengthnames <- cbind(mtDNA.lengths, Names.vec) -nlengthnames[which.max(nlengthnames[,1])] -idx <- which.max(nlengthnames[,1]) -idx -nlengthnames[idx, idx] -nlengthnames[idx] -nlengthnames -nlengthnames[idx,] +num.nts <- alphabetFrequency(mtDNA.multSeqs.bstr)[,1:4] +mtDNA.lengths <- rowSums(num.nts) proportion.nts <- num.nts/mtDNA.lengths -proportion.nts +# Obtain name and length of species with longest sequence +nlengthnames <- cbind(mtDNA.lengths, Names.vec) +idx <- which.max(nlengthnames[,1]) +nlengthnames[idx,] +#### Part B: Multiple Sequence Alignment +if (!require("BiocManager")) install.packages("BiocManager") +library(BiocManager) +if (!require("msa")) BiocManager::install("msa") +library(msa) +mtDNA.msa <- msa(mtDNA.multSeqs.bstr,method="ClustalOmega") +msaPrettyPrint(mtDNA.msa, file="mtDNA.pdf", output="pdf", showNames="left", +showLogo="none", askForOverwrite=FALSE, verbose=TRUE ) +## loop to make results data frame +num_seqs <- length(Names.vec) +# initialize data frame +align.stats.df <- data.frame(species=rep(NA,num_seqs), seqlen=rep(0,num_seqs), +numgaps=rep(0,num_seqs), nt_a=rep(NA,num_seqs), +nt_c=rep(NA,num_seqs), nt_g=rep(NA,num_seqs), +nt_t=rep(NA,num_seqs)) +# DNAbin type required for dist.dna and helpful for other calculations +mtDNA.msa.DNAbin <- as.DNAbin(mtDNA.msa) +for (i in 1:num_seqs){ +seq_name <- Names.vec[i] +seq.vec <- as.character(mtDNA.msa.DNAbin[i,]) +num.gaps <- sum(seq.vec=="-") +prop.nt.i <- proportion.nts[i,] +align.stats.df[i,] <- c(seq_name, mtDNA.lengths[i], num.gaps, +round(prop.nt.i[1],digits=2), round(prop.nt.i[2],digits=2), +round(prop.nt.i[3],digits=2), round(prop.nt.i[4],digits=2)) +} +# write to file +write.table(align.stats.df,file="alignstats.tab",sep = "\t", row.names=FALSE, quote=FALSE) +# you can use $ operator to grab a named column from a data.frame +# similar to grabbing a named variable from a list +align.stats.df$species +align.stats.df$nt_a # strings by default +as.numeric(align.stats.df$nt_a) # convert to numeric +align.stats.df[1] +align.stats.df[1,] +#### Part C: DNA distance matrices and phylogenetic trees +# Compute Distances +mtDNA.dist <- dist.dna(mtDNA.msa.DNAbin,model="K80") +# manually find closest species +mtDNA.dist.mat <-as.matrix(mtDNA.dist) +diag(mtDNA.dist.mat)<-1 # force diagonal to be 1, not 0 +which(mtDNA.dist.mat == min(mtDNA.dist.mat), arr.ind = TRUE) +min(mtDNA.dist.mat) +## Make tree from distance matrix +hc<- hclust(as.dist(mtDNA.dist.mat)) # transform to dist object first +plot(hc,xlab="species",ylab="distance") +## UPGMA +if (!require("phangorn")) install.packages("phangorn") +library(phangorn) +mtDNA.tree.nj <- NJ(mtDNA.dist) # phangorn function +plot(mtDNA.tree.nj, main="Neighbor Joining Tree (rooted) for primates") +mtDNA.tree.upgma <- upgma(mtDNA.dist) +plot(mtDNA.tree.upgma, show.node.label = TRUE, main="UPGMA Tree for Primates") +source("msaUtils.R") # load msaConvert function into memory +mtDNA.msa.phangorn <-msaConvert(mtDNA.msa,type="phangorn::phyDat") +parsimony(mtDNA.tree.nj, mtDNA.msa.phangorn) +# bootstrap to show support for tree edges +# creates trees from bootstrap samples and checks how often +# that edge appears. Show consistency of tree edge. +bs.trees <- bootstrap.phyDat(mtDNA.msa.phangorn, FUN=function(x)NJ(dist.dna(as.DNAbin(x),model="K80")), bs=100) +plotBS(mtDNA.tree.nj, bs.trees, "phylogram", main="Neighbor Joining") +parsimony(mtDNA.tree.upgma, mtDNA.msa.phangorn) +bs.upgma.trees <- bootstrap.phyDat(mtDNA.msa.phangorn, FUN=function(x)upgma(dist.dna(as.DNAbin(x),model="K80")), bs=100) +plotBS(mtDNA.tree.upgma, bs.upgma.trees, "phylogram", main="UPGMA") +#### Part D: Multidimensional Scaling +# 2d MDS viz +locs<-cmdscale(as.dist(myDist)) +#### Part D: Multidimensional Scaling +# 2d MDS viz +locs<-cmdscale(as.dist(mtDNA.dist)) +x<-locs[,1] +y<-locs[,2] +plot(x,y,main="Multi-dimensional Scaling",xlab="MDS dimension-1",ylab="MDS dimension-2", xlim=c(-.3,.35)) +text(x,y,rownames(locs),cex=1.5) +?text() +plot(x,y,main="Multi-dimensional Scaling",xlab="MDS dimension-1",ylab="MDS dimension-2", xlim=c(-.3,.35)) +text(x,y,rownames(locs),cex=0.5) +locs<-cmdscale(as.dist(mtDNA.dist),k=3) 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Show consistency of tree edge. +bs.trees <- bootstrap.phyDat(mtDNA.msa.phangorn, FUN=function(x)NJ(dist.dna(as.DNAbin(x),model="K80")), bs=100) +plotBS(mtDNA.tree.nj, bs.trees, "phylogram", main="Neighbor Joining") + +parsimony(mtDNA.tree.upgma, mtDNA.msa.phangorn) + +bs.upgma.trees <- bootstrap.phyDat(mtDNA.msa.phangorn, FUN=function(x)upgma(dist.dna(as.DNAbin(x),model="K80")), bs=100) +plotBS(mtDNA.tree.upgma, bs.upgma.trees, "phylogram", main="UPGMA") + + +#### Part D: Multidimensional Scaling +# 2d MDS viz +locs<-cmdscale(as.dist(mtDNA.dist)) +x<-locs[,1] +y<-locs[,2] +plot(x,y,main="Multi-dimensional Scaling",xlab="MDS dimension-1",ylab="MDS dimension-2", xlim=c(-.3,.35)) +text(x,y,rownames(locs),cex=0.5) + +library(rgl) +locs<-cmdscale(as.dist(mtDNA.dist),k=3) +x<-locs[,1] +y<-locs[,2] +z<-locs[,3] +plot3d(x,y,z) +text3d(x=x,y=y,z=z,texts=rownames(locs),cex=1.5) +play3d(spin3d(axis=c(0,1,1), rpm=3), duration=30) + diff --git a/Schrick-Noah_CS-6643_Lab-10.docx 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