Mathematical topics in phylogenetics
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...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/103899 |
| Acceso en línea: | https://hdl.handle.net/2117/103899 |
| Access Level: | acceso abierto |
| Palabra clave: | Genetics Population dynamics Phylogeny Lie markov models Dinàmica de poblacions Genètica Classificació AMS::92 Biology and other natural sciences::92D Genetics and population dynamics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica |
| Sumario: | 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. |
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