Relevant phylogenetic invariants of evolutionary models
| Autor: | Casanellas Rius, Marta, Fernández Sánchez, Jesús |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Phylogenetic systematics
molecular evolutionary models Algebraic varieties phylogenetic invariants Quantitative Biology::Populations and Evolution Matemàtiques i estadística [Àrees temàtiques de la UPC] 14 Algebraic geometry::14J Surfaces and higher-dimensional varieties [Classificació AMS] 92 Biology and other natural sciences::92D Genetics and population dynamics [Classificació AMS] 05 Combinatorics::05C Graph theory [Classificació AMS] phylogenetic varieties |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Recercat. Dipósit de la Recerca de Catalunya instname |
| Popis: | Recently there have been several attempts to provide a whole set of generators of the ideal of the algebraic variety associated to a phylogenetic tree evolving under an algebraic model. These algebraic varieties have been proven to be useful in phylogenetics. In this paper we prove that, for phylogenetic reconstruction purposes, it is enough to consider generators coming from the edges of the tree, the so-called edge invariants. This is the algebraic analogous to Buneman's Splits Equivalence Theorem. The interest of this result relies on its potential applications in phylogenetics for the widely used evolutionary models such as Jukes-Cantor, Kimura 2 and 3 parameters, and General Markov models. |
| Databáze: | OpenAIRE |
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