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Related papers: Bacterial phylogeny in the Cayley graph

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The variation in genome arrangements among bacterial taxa is largely due to the process of inversion. Recent studies indicate that not all inversions are equally probable, suggesting, for instance, that shorter inversions are more frequent…

Group Theory · Mathematics 2014-01-06 Attila Egri-Nagy , Volker Gebhardt , Mark M. Tanaka , Andrew R. Francis

Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

Data Structures and Algorithms · Computer Science 2014-10-22 Antoine Thomas

Inversions, also sometimes called reversals, are a major contributor to variation among bacterial genomes, with studies suggesting that those involving small numbers of regions are more likely than larger inversions. Deletions may arise in…

Rings and Algebras · Mathematics 2023-07-11 Chad Clark , Julius Jonušas , James D. Mitchell , Andrew Francis

Early literature on genome rearrangement modelling views the problem of computing evolutionary distances as an inherently combinatorial one. In particular, attention was given to estimating distances using the minimum number of events…

Populations and Evolution · Quantitative Biology 2023-01-12 Joshua Stevenson , Venta Terauds , Jeremy Sumner

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

In biological experiments researchers often have information in the form of a graph that supplements observed numerical data. Incorporating the knowledge contained in these graphs into an analysis of the numerical data is an important and…

Applications · Statistics 2012-02-28 Elizabeth Purdom

Rooted phylogenetic networks provide an explicit representation of the evolutionary history of a set $X$ of sampled species. In contrast to phylogenetic trees which show only speciation events, networks can also accommodate reticulate…

Combinatorics · Mathematics 2021-01-01 Peter L. Erdos , Charles Semple , Mike Steel

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

Populations and Evolution · Quantitative Biology 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko

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

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

Phylogenetic network is an evolutionary model that uses a rooted directed acyclic graph (instead of a tree) to model an evolutionary history of species in which reticulate events (e.g., hybrid speciation or horizontal gene transfer)…

Populations and Evolution · Quantitative Biology 2023-12-01 Yufeng Wu , Louxin Zhang

Phylogenetic networks extend phylogenetic trees to model non-vertical inheritance, by which a lineage inherits material from multiple parents. The computational complexity of estimating phylogenetic networks from genome-wide data with…

Populations and Evolution · Quantitative Biology 2022-06-28 Jingcheng Xu , Cécile Ané

Rearrangements of bacterial chromosomes can be studied mathematically at several levels, most prominently at a local, or sequence level, as well as at a topological level. The biological changes involved locally are inversions, deletions,…

Group Theory · Mathematics 2013-12-10 Andrew R. Francis

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…

Populations and Evolution · Quantitative Biology 2016-10-07 Philippe Gambette , Leo van Iersel , Steven Kelk , Fabio Pardi , Celine Scornavacca

A central theme in phylogenetics is the reconstruction and analysis of evolutionary trees from a given set of data. To determine the optimal search methods for reconstructing trees, it is crucial to understand the size and structure of the…

Populations and Evolution · Quantitative Biology 2016-08-15 Jamie V. de Jong , Jeanette C McLeod , Mike Steel

Phylogenetic networks extend phylogenetic trees to allow for modeling reticulate evolutionary processes such as hybridization. They take the shape of a rooted, directed, acyclic graph, and when parameterized with evolutionary parameters,…

Populations and Evolution · Quantitative Biology 2018-08-28 R. A. L. Elworth , H. A. Ogilvie , J. Zhu , L. Nakhleh

Unraveling the evolutionary forces shaping bacterial diversity can today be tackled using a growing amount of genomic data. While the genome of eukaryotes is highly stable, bacterial genomes from cells of the same species highly vary in…

Populations and Evolution · Quantitative Biology 2015-03-19 Franz Baumdicker , Peter Pfaffelhuber

Galled trees are studied as a recombination model in population genetics. This class of phylogenetic networks is generalized into tree-child, galled and reticulation-visible network classes by relaxing a structural condition imposed on…

Populations and Evolution · Quantitative Biology 2020-02-28 Gabriel Cardona , Louxin Zhang

Lateral gene transfer (LGT) is a common mechanism of non-vertical evolution where genetic material is transferred between two more or less distantly related organisms. It is particularly common in bacteria where it contributes to adaptive…

Probability · Mathematics 2012-06-18 Sebastien Roch , Sagi Snir

A wide range of applications and research has been done with genome-scale metabolic models. In this work we describe a methodology for comparing metabolic networks constructed from genome-scale metabolic models and how to apply this…

Molecular Networks · Quantitative Biology 2026-02-06 D. Gamermann , A. Montagud , J. A. Conejero , P. F. de Córdoba , J. F. Urchieguía
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