Relevant phylogenetic invariants of evolutionary models
Relevant phylogenetic invariants of evolutionary models
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DOI：
10.1016/j.matpur.2010.11.002
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发表时间：
2011-09-01
影响因子：
2.3
通讯作者：
Fernandez-Sanchez, Jesus
中科院分区：
文献类型：
--
作者：
Casanellas, Marta;Fernandez-Sanchez, Jesus
最近有几个尝试，以提供一整套的发电机的理想的代数品种相关联的进化树下的代数模型。这些代数簇已被证明是有用的遗传学。在本文中，我们证明，系统发育重建的目的，这是足够的考虑发电机来自边缘的树，所谓的边缘不变量。这是类似于布尼曼分裂等价定理的代数。这一结果的兴趣依赖于它的潜在应用广泛使用的进化模型，如Jukes-Cantor，木村2-和3-参数，和一般的马尔可夫模型的遗传学。(C)2010年Elsevier Masson SAS。All rights reserved.
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. (C) 2010 Elsevier Masson SAS. All rights reserved.