Statistical Applications in Biology and Genetics

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Presentation transcript:

Statistical Applications in Biology and Genetics Tian Zheng Wednesday, March 12, 2003

Outline Biological Background Overview of quantitative research area related to genetics Sample project I: Bayesian Regression Analysis with application to Microarray studies Sample project II: BHTA algorithm for complex traits

Chromosomes and genes Video from the Human Genome Project You can also find links to background readings at : http://www.stat.columbia.edu/~tzheng/research/statgen.html Celebrating the 50th Anniversary of the discovery of DNA double-helix structure.

Biology: Science of 21st century Everybody talks about it!

Computational Biology (1) Sequence to function Sequence alignment using wet-lab results Model aligned sequences Predict function to sequence with unknown function using model fitted Sequence to structure of proteins Significance: sequence  structure  function

Computational Biology (2) Motif detection Homology detection

Bioinformatics/Genomics Gene expression analysis (using DNA chips or Microarray) Protein regulatory network inference Pedigree inference Phylogeny inference

Genetic Epidemiology Linkage mapping Association mapping Mapping for complex traits: quantitative traits, epistasis etc.

Linkage and Association Gene, alleles; Haplotype Transmission Cross-over and recombination Linkage

Sample Project: Bayesian Regression Analysis Mike West et al (2000) Bayesian Regression Analysis in the “large p, small n” Paradigm with application in DNA Microarray studies.

What is a Microarray/DNA chip How Chips Work?

Oligonucleotide Arrays Current “Golden Standard”!

Affymetrix GeneChip System

An Affymetrix GeneChip

                                                                                                                                       

Gene Expression Data n experiments (patients, types of cell lines, types of cancer tissues, etc) p genes on one array Subtracted and normalized gene expression data is a n by p matrix