基于一级组的系统发育网络的维度。

IF 2 4区数学 Q2 BIOLOGY

Bulletin of Mathematical Biology Pub Date : 2024-06-17 DOI:10.1007/s11538-024-01314-z

Elizabeth Gross, Robert Krone, Samuel Martin

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引用次数: 0

摘要

系统进化网络代表了发生水平进化或杂交的分类群的进化历史。将进化的马尔可夫模型置于系统发育网络上，可以得到一个特别适合代数研究的模型，即把它表示为一个代数变种。在本文中，我们给出了在基于群的进化模型下，与无三角形的一级系统进化网络相对应的代数簇的维数公式。在此过程中，我们还给出了零标度环状纤维积的维度公式。最后，我们将说明可识别性的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Dimensions of Level-1 Group-Based Phylogenetic Networks.

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Dimensions of Level-1 Group-Based Phylogenetic Networks.

Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal evolution or hybridization has occurred. Placing a Markov model of evolution on a phylogenetic network gives a model that is particularly amenable to algebraic study by representing it as an algebraic variety. In this paper, we give a formula for the dimension of the variety corresponding to a triangle-free level-1 phylogenetic network under a group-based evolutionary model. On our way to this, we give a dimension formula for codimension zero toric fiber products. We conclude by illustrating applications to identifiability.

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来源期刊

Bulletin of Mathematical Biology 生物-生物学

CiteScore

3.90

自引率

8.60%

发文量

123

审稿时长

7.5 months

期刊介绍： The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including: Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations Research in mathematical biology education Reviews Commentaries Perspectives, and contributions that discuss issues important to the profession All contributions are peer-reviewed.