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Phylogenetics and rank of matrices
Garrote López, Marina
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Casanellas Rius, Marta
Phylogenetics is the study of the evolutionary relationships of a group of species, and it is usually inferred from the DNA sequences of a set of living species. Thanks to the model developed by Darwin based on natural selection, we can construct phylogenetics trees that relate a set of contemporary species. Thus phylogenetics tries to reconstruct these trees. In order to do it is necessary to model evolution adopting a parametric statistic model. Using these models one is able to deduce polynomial relationships between the parameters of our model, known as phylogenetic invariants. The main goal of this work is to understand the relationship between phylogenetics and these algebraic techniques and to prove that using the rank of certain matrices we can find phylogenetic invariants that are useful for tree reconstruction.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
Biomathematics
Phylogenetics
Phylogenetic trees
Joint distribution
Phylogenetic invariants
Biomatemàtica
Classificació AMS::92 Biology and other natural sciences::92B Mathematical biology in general
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/bachelorThesis
Universitat Politècnica de Catalunya
         

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