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We introduce the package PhylogeneticTrees for Macaulay2 which allows users to compute phylogenetic invariants for group-based tree models. We provide some background information on phylogenetic algebraic geometry and show how the package…

Populations and Evolution · Quantitative Biology 2021-01-27 Hector Baños , Nathaniel Bushek , Ruth Davidson , Elizabeth Gross , Pamela E. Harris , Robert Krone , Colby Long , Allen Stewart , Robert Walker

A central problem in biology is to understand how organisms evolve and adapt to their environment by acquiring variations in the observable characteristics or traits of species across the tree of life. With the growing availability of…

We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of this model is that the hybridization rate of the lineages…

Probability · Mathematics 2024-02-27 François Bienvenu , Jean-Jil Duchamps

A rooted phylogenetic network is a directed acyclic graph with a single root, whose sinks correspond to a set of species. As such networks are useful for representing the evolution of species that have undergone reticulate evolution, there…

Populations and Evolution · Quantitative Biology 2022-06-28 Vincent Moulton , Taoyang Wu

Discovering evolutionary traits that are heritable across species on the tree of life (also referred to as a phylogenetic tree) is of great interest to biologists to understand how organisms diversify and evolve. However, the measurement of…

A classic problem in computational biology is constructing a phylogenetic tree given a set of distances between n species. In most cases, a tree structure is too constraining. We consider a circular split network, a generalization of a tree…

Combinatorics · Mathematics 2016-07-26 Satyan L. Devadoss , Samantha Petti

Recently much attention has been devoted to the construction of phylogenetic networks which generalize phylogenetic trees in order to accommodate complex evolutionary processes. Here we present an efficient, practical algorithm for…

Populations and Evolution · Quantitative Biology 2009-10-22 Katharina T. Huber , Leo van Iersel , Steven Kelk , Radoslaw Suchecki

Phylogenetic trees (i.e. evolutionary trees, additive trees or X-trees) play a key role in the processes of modeling and representing species evolution. Genome evolution of a given group of species is usually modeled by a species…

Populations and Evolution · Quantitative Biology 2023-01-03 Vladimir Makarenkov , Gayane S. Barseghyan , Nadia Tahiri

We compare the phylogenetic tensors for various trees and networks for two, three and four taxa. If the probability spaces between one tree or network and another are not identical then there will be phylogenetic tensors that could have…

Populations and Evolution · Quantitative Biology 2016-06-24 Jonathan Mitchell

Comparisons of single-cell RNA sequencing (scRNA-seq) data across species can reveal links between cellular gene expression and the evolution of cell functions, features, and phenotypes. These comparisons invoke evolutionary histories, as…

Populations and Evolution · Quantitative Biology 2023-07-07 Samuel H. Church , Jasmine L. Mah , Casey W. Dunn

We report on the process of taking an early 2000's mathematical library, the Small Phylogenetic Trees, and transforming it into a FAIR, modern, and sustainable repository for data from algebraic phylogenetics. This process is based on a…

History and Overview · Mathematics 2025-11-10 Tabea Bacher , Marina Garrote-López , Christiane Görgen , Marius J. Neubert

Invariants for complicated objects such as those arising in phylogenetics, whether they are invariants as matrices, polynomials, or other mathematical structures, are important tools for distinguishing and working with such objects. In this…

Populations and Evolution · Quantitative Biology 2022-04-06 Joan Carles Pons , Tomás M. Coronado , Michael Hendriksen , Andrew Francis

Phylogenetic networks generalize phylogenetic trees by representing reticulate evolution. Tree-based networks and their support trees have been extensively studied, but not all networks are tree-based. To measure how far such networks are…

Populations and Evolution · Quantitative Biology 2026-05-27 Takatora Suzuki

A binary phylogenetic network may or may not be obtainable from a tree by the addition of directed edges (arcs) between tree arcs. Here, we establish a precise and easily tested criterion (based on `2-SAT') that efficiently determines…

Populations and Evolution · Quantitative Biology 2015-05-25 Andrew R. Francis , Mike Steel

Phylogenetic analyses of gene expression have great potential for addressing a wide range of questions. These analyses will, for example, identify genes that have evolutionary shifts in expression that are correlated with evolutionary…

Populations and Evolution · Quantitative Biology 2014-01-14 Casey W. Dunn , Xi Luo , Zhijin Wu

This paper introduces PhyloLM, a method adapting phylogenetic algorithms to Large Language Models (LLMs) to explore whether and how they relate to each other and to predict their performance characteristics. Our method calculates a…

Computation and Language · Computer Science 2025-12-09 Nicolas Yax , Pierre-Yves Oudeyer , Stefano Palminteri

PEACH Tree is an easy-to-use, online tool for displaying multiple sequence alignments and phylogenetic trees side-by-side. PEACH Tree is powerful for rapidly tracing evolutionary and transmission histories by filtering invariant sites out…

Quantitative Methods · Quantitative Biology 2021-12-15 Jordan Douglas , David Welch

The Tree of Life is the graphical structure that represents the evolutionary process from single-cell organisms at the origin of life to the vast biodiversity we see today. Reconstructing this tree from genomic sequences is challenging due…

Populations and Evolution · Quantitative Biology 2020-10-06 Claudia Solis-Lemus , Arrigo Coen , Cecile Ane

GenoML is a Python package automating machine learning workflows for genomics (genetics and multi-omics) with an open science philosophy. Genomics data require significant domain expertise to clean, pre-process, harmonize and perform…

Given a set of species whose evolution is represented by a species tree, a gene family is a group of genes having evolved from a single ancestral gene. A gene family evolves along the branches of a species tree through various mechanisms,…

Combinatorics · Mathematics 2019-05-14 Cedric Chauve , Yann Ponty , Michael Wallner