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Mathematical topics in phylogenetics

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Pérez De Los Cobos Hermosa, Cassius Manuel
Tutor / directorCasanellas Rius, MartaMés informacióMés informacióMés informació; Von Haeseler, Arndt
CovenanteeMax F. Perutz Laboratories; Universität Wien
Document typeMaster thesis
Date2017-03
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
An evolutionary process is frequently modeled as a sequence of the four bases A,C,G,T, each of them changing independently following a Markov process. The main goal of this project are two: first of all, we wanted to understand and explain, from a mathematically rigorous point of view, the modeling of an evolutionary process as a continuous Markov process, and why Lie Markov models are an adequate option for this task. Secondly, we explain how we tried to improve a previous implementation of Lie Markov models in IQ-TREE, an algorithm for inferring phylogenies.
SubjectsGenetics, Population dynamics, Dinàmica de poblacions, Genètica
DegreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)
URIhttp://hdl.handle.net/2117/103899
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  • Màsters oficials - Master of Science in Advanced Mathematics and Mathematical Engineering (MAMME) [242]
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