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The rich and varied ways that genetic material can be passed between species has motivated extensive research into the theory of phylogenetic networks. Features that align with biological processes, or with desirable mathematical…

种群与进化 · 定量生物学 2025-08-12 Andrew Francis

Biological phenotypes are products of complex evolutionary processes in which selective forces influence multiple biological trait measurements in unknown ways. Phylogenetic factor analysis disentangles these relationships across the…

A model of genomic sequence evolution on a species tree should include not only a sequence substitution process, but also a coalescent process, since different sites may evolve on different gene trees due to incomplete lineage sorting.…

种群与进化 · 定量生物学 2023-03-15 Elizabeth A. Allman , Colby Long , John A. Rhodes

Phylogenetic comparative methods are well established tools for using inter-species variation to analyse phenotypic evolution and adaptation. They are generally hampered, however, by predominantly univariate approaches and failure to…

种群与进化 · 定量生物学 2024-12-13 Krzysztof Bartoszek

Phylogenetic trees are the fundamental mathematical representation of evolutionary processes in biology. They are also objects of interest in pure mathematics, such as algebraic geometry and combinatorics, due to their discrete geometry.…

度量几何 · 数学 2022-07-01 Anthea Monod , Bo Lin , Ruriko Yoshida , Qiwen Kang

The grand challenges in biology today are being shaped by powerful high-throughput technologies that have revealed the genomes of many organisms, global expression patterns of genes and detailed information about variation within…

统计理论 · 数学 2007-06-13 Lior Pachter , Bernd Sturmfels

Phylogenetics is a widely used concept in evolutionary biology. It is the reconstruction of evolutionary history by building trees that represent branching patterns and sequences. These trees represent shared history, and it is our…

星系天体物理 · 物理学 2018-08-22 P. Jofre , P. Das

By linking conceptual theories with observed data, generative models can support reasoning in complex situations. They have come to play a central role both within and beyond statistics, providing the basis for power analysis in molecular…

统计方法学 · 统计学 2022-08-15 Kris Sankaran , Susan P. Holmes

Phylogenetics is a branch of computational biology that studies the evolutionary relationships among biological entities. Its long history and numerous applications notwithstanding, inference of phylogenetic trees from sequence data remains…

We compare three basic kinds of discrete mathematical models used to portray phylogenetic relationships among species and higher taxa: phylogenetic trees, Hennig trees and Nelson cladograms. All three models are trees, as that term is…

种群与进化 · 定量生物学 2011-10-05 Jeremy L. Martin , E. O. Wiley

Phylogenetic inference, the task of reconstructing how related sequences evolved from common ancestors, is a central objective in evolutionary genomics. The current state-of-the-art methods exploit probabilistic models of sequence evolution…

种群与进化 · 定量生物学 2026-02-19 Luc Blassel , Noémie Sauvage , Pierre Barrat-Charlaix , Bastien Boussau , Nicolas Lartillot , Laurent Jacob

It is possible to consider stochastic models of sequence evolution in phylogenetics in the context of a dynamical tensor description inspired from physics. Approaching the problem in this framework allows for the well developed methods of…

种群与进化 · 定量生物学 2007-05-23 J. G. Sumner , P. D. Jarvis

Combining a set of phylogenetic trees into a single phylogenetic network that explains all of them is a fundamental challenge in evolutionary studies. Existing methods are computationally expensive and can either handle only small numbers…

种群与进化 · 定量生物学 2023-04-07 Giulia Bernardini , Leo van Iersel , Esther Julien , Leen Stougie

Phylogenetic networks are necessary to represent the tree of life expanded by edges to represent events such as horizontal gene transfers, hybridizations or gene flow. Not all species follow the paradigm of vertical inheritance of their…

种群与进化 · 定量生物学 2016-02-15 Claudia Solís-Lemus , Cécile Ané

Recently there has been renewed interest in phylogenetic inference methods based on phylogenetic invariants, alongside the related Markov invariants. Broadly speaking, both these approaches give rise to polynomial functions of sequence site…

定量方法 · 定量生物学 2017-03-31 Jeremy G Sumner , Amelia Taylor , Barbara R Holland , Peter D Jarvis

We are facing a real challenge when coping with the continuous acceleration of scientific production and the increasingly changing nature of science. In this article, we extend the classical framework of co-word analysis to the study of…

物理与社会 · 物理学 2015-03-13 David Chavalarias , Jean-Philippe Cointet

Latent space models for network data characterize each node through a vector of latent features whose pairwise similarities define the edge probabilities among the pairs of nodes. Although this formulation has led to successful…

统计方法学 · 统计学 2026-04-06 Federico Pavone , Daniele Durante , Robin J. Ryder

Multivariate clustering in astrophysics is a recent development justified by the bigger and bigger surveys of the sky. The phylogenetic approach is probably the most unexpected technique that has appeared for the unsupervised classification…

天体物理仪器与方法 · 物理学 2017-03-02 Didier Fraix-Burnet

Phylogenetic networks model reticulate evolutionary histories. The last two decades have seen an increased interest in establishing mathematical results and developing computational methods for inferring and analyzing these networks. A…

种群与进化 · 定量生物学 2016-06-24 Jiafan Zhu , Yun Yu , Luay Nakhleh

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees. Substitutions in sequences are modelled through a continuous-time Markov process, characterised by an instantaneous rate matrix, which standard…

种群与进化 · 定量生物学 2020-07-20 Naomi E. Hannaford , Sarah E. Heaps , Tom M. W. Nye , Tom A. Williams , T. Martin Embley