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For a pair consisting of a gene tree and a species tree, the ancestral configurations at an internal node of the species tree are the distinct sets of gene lineages that can be present at that node. Ancestral configurations appear in…

组合数学 · 数学 2020-06-17 Filippo Disanto , Michael Fuchs , Ariel R. Paningbatan , Noah A. Rosenberg

Evolution is a process that is influenced by various environmental factors, e.g. the interactions between different species, genes, and biogeographical properties. Hence, it is interesting to study the combined evolutionary history of…

定量方法 · 定量生物学 2013-08-02 Nicolas Wieseke , Matthias Bernt , Martin Middendorf

In mathematical phylogenetics, evolutionary relationships are often represented by trees and networks. The latter are typically used whenever the relationships cannot be adequately described by a tree, which happens when so-called…

种群与进化 · 定量生物学 2025-12-05 Mirko Wilde , Mareike Fischer

Phylogenetic networks are increasingly used in evolutionary biology to represent the history of species that have undergone reticulate events such as horizontal gene transfer, hybrid speciation and recombination. One of the most fundamental…

种群与进化 · 定量生物学 2016-10-07 Philippe Gambette , Leo van Iersel , Steven Kelk , Fabio Pardi , Celine Scornavacca

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

种群与进化 · 定量生物学 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

The architecture of eukaryotic coding genes allows the production of several different protein isoforms by genes. Current gene phylogeny reconstruction methods make use of a single protein product per gene, ignoring information on…

数据结构与算法 · 计算机科学 2017-07-05 Esaie Kuitche , Manuel Lafond , Aïda Ouangraoua

Best match graphs (BMG) are a key intermediate in graph-based orthology detection and contain a large amount of information on the gene tree. We provide a near-cubic algorithm to determine whether a BMG is binary-explainable, i.e., whether…

数据结构与算法 · 计算机科学 2021-03-09 David Schaller , Manuela Geiß , Marc Hellmuth , Peter F. Stadler

Fitch graphs $G=(X,E)$ are digraphs that are explained by $\{\emptyset, 1\}$-edge-labeled rooted trees $T$ with leaf set $X$: there is an arc $(x,y) \in E$ if and only if the unique path in $T$ that connects the last common ancestor…

离散数学 · 计算机科学 2021-10-19 Marc Hellmuth , Carsten R. Seemann , Peter F. Stadler

Survival analysis concerns the task of predicting the time until an event occurs. Often used in the medical field, survival analysis deals with incomplete (i.e., censored) data, for instance, from patients who did not experience the event…

机器学习 · 计算机科学 2026-05-29 Thalea Schlender , Peter A. N. Bosman , Tanja Alderliesten

Phylogenetic reconstruction aims at finding plausible hypotheses of the evolutionary history of genes or species based on genomic sequence information. The distinction of orthologous genes (genes that having a common ancestry and diverged…

种群与进化 · 定量生物学 2016-02-29 Marc Hellmuth , Nicolas Wieseke

The multispecies coalescent process models the genealogical relationships of genes sampled from several species, enabling useful predictions about phenomena such as the discordance between the gene tree and the species phylogeny due to…

种群与进化 · 定量生物学 2020-12-11 Jakub Truszkowski , Celine Scornavacca , Fabio Pardi

Phylogenetic mixtures model the inhomogeneous molecular evolution commonly observed in data. The performance of phylogenetic reconstruction methods where the underlying data is generated by a mixture model has stimulated considerable recent…

种群与进化 · 定量生物学 2007-06-30 Frederick A. Matsen , Mike Steel

A geophylogeny is a phylogenetic tree (or dendrogram) where each leaf (e.g. biological taxon) has an associated geographic location (site). To clearly visualize a geophylogeny, the tree is typically represented as a crossing-free drawing…

离散数学 · 计算机科学 2025-04-16 Jonathan Klawitter , Felix Klesen , Joris Y. Scholl , Thomas C. van Dijk , Alexander Zaft

Phylogenetic networks are used to represent the evolutionary history of species. They are versatile when compared to traditional phylogenetic trees, as they capture more complex evolutionary events such as hybridization and horizontal gene…

Compatibility of phylogenetic trees is the most important concept underlying widely-used methods for assessing the agreement of different phylogenetic trees with overlapping taxa and combining them into common supertrees to reveal the tree…

离散数学 · 计算机科学 2011-11-09 Merce Llabres , Jairo Rocha , Francesc Rossello , Gabriel Valiente

In evolutionary biology, the speciation history of living organisms is represented graphically by a phylogeny, that is, a rooted tree whose leaves correspond to current species and branchings indicate past speciation events. Phylogenies are…

种群与进化 · 定量生物学 2019-08-02 Wai-Tong Louis Fan , Sebastien Roch

Phylogenetic reconciliation seeks to explain host-symbiont co-evolution by mapping parasite trees onto host trees through events such as cospeciation, duplication, host switching, and loss. Finding an optimal reconciliation that ensures…

种群与进化 · 定量生物学 2026-02-02 Cyriac Antony , Alessio Martino , Blerina Sinaimeri

Genomes and genes diversify during evolution; however, it is unclear to what extent genes still retain the relationship among species. Model species for molecular phylogenetic studies include yeasts and viruses whose genomes were sequenced…

基因组学 · 定量生物学 2008-06-09 Yunfeng Shan , Xiu-Qing Li

In 1998, B\"{o}cker and Dress gave a 1-to-1 correspondence between symbolically dated rooted trees and symbolic ultrametrics. We consider the corresponding problem for unrooted trees. More precisely, given a tree $T$ with leaf set $X$ and a…

组合数学 · 数学 2018-01-19 Stefan Grünewald , Yangjing Long , Yaokun Wu

Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination. This makes phylogenetic networks a more comprehensive…

种群与进化 · 定量生物学 2021-06-15 Remie Janssen , Pengyu Liu