Date of Award

Spring 4-9-2012

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

First Thesis Reader

Christopher Towse

Second Thesis Reader

Ami Radunskaya

Rights Information

© 2012 Anna Cho

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Abstract

Maximum likelihood methods are used to estimate the phylogenetic trees for a set of species. The probabilities of DNA base substitutions are modeled by continuous-time Markov chains. We use these probabilities to estimate which DNA bases would produce the data that we observe. The topology of the tree is also determined using base substitution probabilities and conditional likelihoods. Felsenstein [2] introduced this method of finding an estimate for the maximum likelihood phylogenetic tree. We will explore this method in detail in this paper.



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