Generating Lie Markov models with prescribed symmetry
Recent works discuss the importance of the multiplicative closure of the Markov models used in phylogenetics. A sufficient condition is requiring the set of rate-matrices of the model to form a Lie algebra. In this work, we want to implement this algorithm to generate all models for a given symmetry...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2012 |
| 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:2099.1/17481 |
| Acceso en línea: | https://hdl.handle.net/2099.1/17481 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematical biology Phylogenetics Markov model Representation theory Permutation groups Lie algebras Biomatemàtica Classificació AMS::92 Biology and other natural sciences::92B Mathematical biology in general Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | Recent works discuss the importance of the multiplicative closure of the Markov models used in phylogenetics. A sufficient condition is requiring the set of rate-matrices of the model to form a Lie algebra. In this work, we want to implement this algorithm to generate all models for a given symmetry. This implementation would be important for getting examples and investigate more properties of these models. |
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