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$breaks[-c(1,2)] # remove 0 g.probs <- g.hist$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$breaks[-c(1,2,3)] # remove 0 g.probs <- g.hist$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) 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$breaks[-c(1)] # remove 0 g.breaks <- g.hist$breaks # 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$density[-1] # make lengths match # Need to clean up probabilities that are 0 nz.probs.mask <- g.probs!=0 g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] #plot(log(g.breaks.clean), log(g.probs.clean)) g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) summary(g.fit) alpha.LM <- coef(g.fit)[2] lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3) ################# Max-Log-Likelihood ################# n <- length(g.breaks.clean) kmin <- g.breaks.clean[1] alpha.ML <- 1 + n/sum(log(g.breaks.clean)/kmin) alpha.ML lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) alpha.LM # Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course # Degree Distribution # Professor: Dr. McKinney, Spring 2022 # Noah Schrick - 1492657 library(igraph) library(igraphdata) data(yeast) g <- yeast g.netname <- "Yeast" ################# Set up Work ################# g.vec <- degree(g) g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, " Network")) legend("topright", c("Guess", "Poisson", "Least-Squares Fit", "Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", "#006CD1", "#E66100", "#D35FB7")) g.mean <- mean(g.vec) g.seq <- 0:max(g.vec) # x-axis ################# Guessing Alpha ################# alpha.guess <- 1.5 lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1) ################# Poisson ################# g.pois <- dpois(g.seq, g.mean, log=F) lines(g.seq, g.pois, col="#006CD1", lty=2) ################# Linear model: Least-Squares Fit ################# g.breaks <- g.hist$breaks[-c(1)] # remove 0 g.probs <- g.hist$density[-1] # make lengths match # Need to clean up probabilities that are 0 nz.probs.mask <- g.probs!=0 g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] #plot(log(g.breaks.clean), log(g.probs.clean)) g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) summary(g.fit) alpha.LM <- coef(g.fit)[2] lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3) ################# Max-Log-Likelihood ################# n <- length(g.breaks.clean) kmin <- g.breaks.clean[1] alpha.ML <- 1 + n/sum(log(g.breaks.clean/kmin)) alpha.ML lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) # Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course # Degree Distribution # Professor: Dr. McKinney, Spring 2022 # Noah Schrick - 1492657 library(igraph) library(igraphdata) data(yeast) g <- yeast g.netname <- "Yeast" ################# Set up Work ################# g.vec <- degree(g) g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, " Network")) legend("topright", c("Guess", "Poisson", "Least-Squares Fit", "Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", "#006CD1", "#E66100", "#D35FB7")) g.mean <- mean(g.vec) g.seq <- 0:max(g.vec) # x-axis ################# Guessing Alpha ################# alpha.guess <- 1.5 lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1, lwd=5) ################# Poisson ################# g.pois <- dpois(g.seq, g.mean, log=F) lines(g.seq, g.pois, col="#006CD1", lty=2) ################# Linear model: Least-Squares Fit ################# g.breaks <- g.hist$breaks[-c(1)] # remove 0 g.probs <- g.hist$density[-1] # make lengths match # Need to clean up probabilities that are 0 nz.probs.mask <- g.probs!=0 g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] #plot(log(g.breaks.clean), log(g.probs.clean)) g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) summary(g.fit) alpha.LM <- coef(g.fit)[2] lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3) ################# Max-Log-Likelihood ################# n <- length(g.breaks.clean) kmin <- g.breaks.clean[1] alpha.ML <- 1 + n/sum(log(g.breaks.clean/kmin)) alpha.ML lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) # Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course # Degree Distribution # Professor: Dr. McKinney, Spring 2022 # Noah Schrick - 1492657 library(igraph) library(igraphdata) data(yeast) g <- yeast g.netname <- "Yeast" ################# Set up Work ################# g.vec <- degree(g) g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, " Network")) legend("topright", c("Guess", "Poisson", "Least-Squares Fit", "Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", "#006CD1", "#E66100", "#D35FB7")) g.mean <- mean(g.vec) g.seq <- 0:max(g.vec) # x-axis ################# Guessing Alpha ################# alpha.guess <- 1.5 lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1, lwd=3) ################# Poisson ################# g.pois <- dpois(g.seq, g.mean, log=F) lines(g.seq, g.pois, col="#006CD1", lty=2) ################# Linear model: Least-Squares Fit ################# g.breaks <- g.hist$breaks[-c(1)] # remove 0 g.probs <- g.hist$density[-1] # make lengths match # Need to clean up probabilities that are 0 nz.probs.mask <- g.probs!=0 g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] #plot(log(g.breaks.clean), log(g.probs.clean)) g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) summary(g.fit) alpha.LM <- coef(g.fit)[2] lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3) ################# Max-Log-Likelihood ################# n <- length(g.breaks.clean) kmin <- g.breaks.clean[1] alpha.ML <- 1 + n/sum(log(g.breaks.clean/kmin)) alpha.ML lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4) # Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course # Degree Distribution # Professor: Dr. McKinney, Spring 2022 # Noah Schrick - 1492657 library(igraph) library(igraphdata) data(yeast) g <- yeast g.netname <- "Yeast" ################# Set up Work ################# g.vec <- degree(g) g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, " Network")) legend("topright", c("Guess", "Poisson", "Least-Squares Fit", "Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", "#006CD1", "#E66100", "#D35FB7")) g.mean <- mean(g.vec) g.seq <- 0:max(g.vec) # x-axis ################# Guessing Alpha ################# alpha.guess <- 1.5 lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1, lwd=3) ################# Poisson ################# g.pois <- dpois(g.seq, g.mean, log=F) lines(g.seq, g.pois, col="#006CD1", lty=2, lwd=3) ################# Linear model: Least-Squares Fit ################# g.breaks <- g.hist$breaks[-c(1)] # remove 0 g.probs <- g.hist$density[-1] # make lengths match # Need to clean up probabilities that are 0 nz.probs.mask <- g.probs!=0 g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] #plot(log(g.breaks.clean), log(g.probs.clean)) g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) summary(g.fit) alpha.LM <- coef(g.fit)[2] lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3, lwd=3) ################# Max-Log-Likelihood ################# n <- length(g.breaks.clean) kmin <- g.breaks.clean[1] alpha.ML <- 1 + n/sum(log(g.breaks.clean/kmin)) alpha.ML lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4, lwd=3) plot(yeast) hist(yeast) hist(g.vec) g.pois g.mean alpha.LM alpha.ML degree(g) sort(degree(g)) sort(degree(g),decreasing=FALSE) sort(degree(g),decreasing=F) sort(degree(g),decreasing=false) sort(degree(g), decreasing = TRUE) head(sort(degree(g), decreasing = TRUE)) stddev(degree(g)) sd(degree(g)) tail(sort(degree(g), decreasing = TRUE)) plot(log(g.breaks.clean), log(g.probs.clean)) # Homework 4 for the University of Tulsa' s CS-7863 Network Theory Course # Degree Distribution # Professor: Dr. McKinney, Spring 2022 # Noah Schrick - 1492657 library(igraph) library(igraphdata) data(yeast) g <- yeast g.netname <- "Yeast" ################# Set up Work ################# g.vec <- degree(g) g.hist <- hist(g.vec, freq=FALSE, main=paste("Histogram of the", g.netname, " Network")) legend("topright", c("Guess", "Poisson", "Least-Squares Fit", "Max Log-Likelihood"), lty=c(1,2,3,4), col=c("#40B0A6", "#006CD1", "#E66100", "#D35FB7")) g.mean <- mean(g.vec) g.seq <- 0:max(g.vec) # x-axis ################# Guessing Alpha ################# alpha.guess <- 1.5 lines(g.seq, g.seq^(-alpha.guess), col="#40B0A6", lty=1, lwd=3) ################# Poisson ################# g.pois <- dpois(g.seq, g.mean, log=F) lines(g.seq, g.pois, col="#006CD1", lty=2, lwd=3) ################# Linear model: Least-Squares Fit ################# g.breaks <- g.hist$breaks[-c(1)] # remove 0 g.probs <- g.hist$density[-1] # make lengths match # Need to clean up probabilities that are 0 nz.probs.mask <- g.probs!=0 g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] plot(log(g.breaks.clean), log(g.probs.clean)) g.fit <- lm(log(g.probs.clean)~log(g.breaks.clean)) summary(g.fit) alpha.LM <- coef(g.fit)[2] lines(g.seq, g.seq^(-alpha.LM), col="#E66100", lty=3, lwd=3) ################# Max-Log-Likelihood ################# n <- length(g.breaks.clean) kmin <- g.breaks.clean[1] alpha.ML <- 1 + n/sum(log(g.breaks.clean/kmin)) alpha.ML lines(g.seq, g.seq^(-alpha.ML), col="#D35FB7", lty=4, lwd=3) plot(log(g.breaks.clean), log(g.probs.clean)) g.breaks.clean <- g.breaks[nz.probs.mask] g.probs.clean <- g.probs[nz.probs.mask] plot(log(g.breaks.clean), log(g.probs.clean)) # Lab 7 for the University of Tulsa's CS-6643 Bioinformatics Course # PDB # Professor: Dr. McKinney, Fall 2022 # Noah L. Schrick - 1492657 ## Set Working Directory to file directory - RStudio approach setwd(dirname(rstudioapi::getActiveDocumentContext()$path)) #### Part A: Obtaining PDB - no supporting R Code #### Part B: Visualize the 3D structure ## Install Rpdb and load the pdb if (!require("Rpdb")) install.packages("Rpdb") library(Rpdb) x<-read.pdb("1TGH.pdb") ## Visualize the B and C chains B_chain_pdb <- subset(x$atoms, x$atoms$chainid=="B") # Lab 7 for the University of Tulsa's CS-6643 Bioinformatics Course # PDB # Professor: Dr. McKinney, Fall 2022 # Noah L. Schrick - 1492657 ## Set Working Directory to file directory - RStudio approach setwd(dirname(rstudioapi::getActiveDocumentContext()$path)) #### Part A: Obtaining PDB - no supporting R Code #### Part B: Visualize the 3D structure ## Install Rpdb and load the pdb if (!require("Rpdb")) install.packages("Rpdb") library(Rpdb) x<-read.pdb("1TGH.pdb") natom(x) visualize(x,type="l") ## Visualize the B and C chains B_chain_pdb <- subset(x$atoms, x$atoms$chainid=="B") C_chain_pdb <- subset(x$atoms, x$atoms$chainid=="C") # remove water: C_chain_pdb <- subset(C_chain_pdb,C_chain_pdb$resname!="HOH") # visualize chains B and C BC_chains_pdb <- subset(x$atoms, x$atoms$chainid=="B" | x$atoms$chainid=="C") color.vec <- c(rep("red",natom(B_chain_pdb)),rep("green",natom(C_chain_pdb))) visualize(BC_chains_pdb,col=color.vec) addResLab(BC_chains_pdb) rgl.postscript("BC_chains.pdf","pdf",drawText=TRUE) ## Visualize B-C and A Chains A_chain_pdb <- subset(x$atoms, x$atoms$chainid=="A") # remove water A_chain_pdb <- subset(A_chain_pdb, A_chain_pdb$resname!="HOH") # visualize complex complex BCA_chains_pdb <- subset(x$atoms, x$atoms$chainid=="B" | x$atoms$chainid=="C" | x$atoms$chainid=="A") BCA.color.vec <- c(rep("red",natom(B_chain_pdb)),rep("green",natom(C_chain_pdb)),rep("blue",natom(A_chain_pdb))) visualize(BCA_chains_pdb,col=BCA.color.vec) rgl.postscript("full_complex.pdf","pdf",drawText=TRUE) # get coordinates of C1' atoms of the C-chain DNA molecule C_chain_pdb$resname C_chain_resids<-unique(C_chain_pdb$resid) C_chain_C1prime <- subset(C_chain_pdb, C_chain_pdb$elename=="C1'") # get chain C DNA sequence C_chain_sequence_messy <- C_chain_C1prime$resname C_chain_sequence <- paste(sapply(C_chain_sequence_messy,function(x) {unlist(strsplit(x,""))[2]}),collapse = "") C_chain_sequence_messy C_chain_sequence