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There are several tools available to infer phylogenetic trees, which depict the evolutionary relationships among biological entities such as viral and bacterial strains in infectious outbreaks, or cancerous cells in tumor progression trees.…

Data Structures and Algorithms · Computer Science 2023-12-22 António Pedro Branco , Cátia Vaz , Alexandre P. Francisco

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

The tree-metric theorem provides a necessary and sufficient condition for a dissimilarity matrix to be a tree metric, and has served as the foundation for numerous distance-based reconstruction methods in phylogenetics. Our main result is…

Combinatorics · Mathematics 2007-05-23 Lior Pachter , David E Speyer

Phylogenetic networks are a generalization of phylogenetic trees that are used to represent non-tree-like evolutionary histories that arise in organisms such as plants and bacteria, or uncertainty in evolutionary histories. An…

Populations and Evolution · Quantitative Biology 2017-12-08 Andrew Francis , Katharina Huber , Vincent Moulton

Phylogenetic inference-the derivation of a hypothesis for the common evolutionary history of a group of species- is an active area of research at the intersection of biology, computer science, mathematics, and statistics. One assumes the…

Populations and Evolution · Quantitative Biology 2016-06-21 Ruth Davidson , Joseph Rusinko , Zoe Vernon , Jing Xi

In molecular systematics, evolutionary trees are reconstructed from sequences at the tips under simple models of site substitution. A central question is how much sequence data is required to reconstruct a tree accurately? The answer…

Quantitative Methods · Quantitative Biology 2012-07-18 Iain Martyn , Mike Steel

In evolutionary studies it is common to use phylogenetic trees to represent the evolutionary history of a set of species. However, in case the transfer of genes or other genetic information between the species or their ancestors has…

Combinatorics · Mathematics 2022-02-15 Katharina T. Huber , Vincent Moulton , Guillaume E. Scholz

A central and long-standing issue in evolutionary theory is the origin of the biological variation upon which natural selection acts1. Some hypotheses suggest that evolutionary change represents an adaptation to the surrounding environment…

Statistical Mechanics · Physics 2007-05-23 J. Podani , Z. N. Oltvai , H. Jeong , B. Tombor , A. -L. Barabasi , E. Szathmary

The displayed tree phylogenetic network model is shown to sit as a natural submodel of the graphical model associated to a directed acyclic graph (DAG). This representation allows to derive a number of results about the displayed tree…

Populations and Evolution · Quantitative Biology 2025-08-01 Seth Sullivant

Most of major algorithms for phylogenetic tree reconstruction assume that sequences in the analyzed set either do not have any offspring, or that parent sequences can maximally mutate into just two descendants. The graph resulting from such…

Populations and Evolution · Quantitative Biology 2013-10-09 Piotr Plonski , Jan P. Radomski

We present a step towards the metabolome-wide computational inference of cellular metabolic reaction networks from metabolic profiling data, such as mass spectrometry. The reconstruction is based on identification of irreducible statistical…

Quantitative Methods · Quantitative Biology 2011-06-02 Pradeep Bandaru , Mukesh Bansal , Ilya Nemenman

One central goal of systems biology is to infer biochemical regulations from large-scale OMICS data. Many aspects of cellular physiology and organism phenotypes could be understood as a result of the metabolic interaction network dynamics.…

Molecular Networks · Quantitative Biology 2025-01-03 Jiahang Li , Steffen Waldherr , Wolfram Weckwerth

Genome-scale metabolic models have become a fundamental tool for examining metabolic principles. However, metabolism is not solely characterized by the underlying biochemical reactions and catalyzing enzymes, but also affected by regulatory…

Molecular Networks · Quantitative Biology 2019-06-19 Anne Grimbs , David F. Klosik , Stefan Bornholdt , Marc-Thorsten Hütt

Graphs are interesting structures: extremely useful to depict real-life problems, extremely easy to understand given a sketch, extremely complicated to represent formally, extremely complicated to compare. Phylogeny is the study of the…

Data Structures and Algorithms · Computer Science 2019-01-18 Bernardo Lopo Tavares

We propose a novel method for the inference of phylogenetic trees that utilises point configurations on hyperbolic space as its optimisation landscape. Each taxon corresponds to a point of the point configuration, while the evolutionary…

Machine Learning · Computer Science 2021-06-07 Benjamin Wilson

Many models of genome rearrangement involve operations (e.g. inversions and translocations) that are self-inverse, and hence generate a group acting on the space of genomes. This gives a correspondence between genome arrangements and the…

Group Theory · Mathematics 2016-01-19 Chad Clark , Attila Egri-Nagy , Andrew R. Francis , Volker Gebhardt

Driven by advancements in high-throughput biological technologies and the growing number of sequenced genomes, the construction of in silico models at the genome scale has provided powerful tools to investigate a vast array of biological…

Molecular Networks · Quantitative Biology 2009-12-16 Caroline B. Milne , Pan-Jun Kim , James A. Eddy , Nathan D. Price

The log-det distance between two aligned DNA sequences was introduced as a tool for statistically consistent inference of a gene tree under simple non-mixture models of sequence evolution. Here we prove that the log-det distance, coupled…

Populations and Evolution · Quantitative Biology 2018-06-14 Elizabeth S. Allman , Colby Long , John A. Rhodes

Mounting evidence suggests that natural populations can harbor extensive fitness diversity with numerous genomic loci under selection. It is also known that genealogical trees for populations under selection are quantifiably different from…

Populations and Evolution · Quantitative Biology 2013-01-04 Adel Dayarian , Boris I Shraiman

Despite the common misconception of nearly static organisms, plants do interact continuously with the environment and with each other. It is fair to assume that during their evolution they developed particular features to overcome problems…

Populations and Evolution · Quantitative Biology 2016-02-19 Gianna Vivaldo , Elisa Masi , Camilla Pandolfi , Stefano Mancuso , Guido Caldarelli