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Reticulate evolution gives rise to complex phylogenetic networks, making their interpretation challenging. A typical approach is to extract trees within such networks. Since Francis and Steel's seminal paper, "Which Phylogenetic Networks…

Combinatorics · Mathematics 2025-05-20 Takatora Suzuki , Momoko Hayamizu

Genetic recombination can produce heterogeneous phylogenetic histories within a set of homologous genes. Delineating recombination events is important in the study of molecular evolution, as inference of such events provides a clearer…

Populations and Evolution · Quantitative Biology 2007-09-13 Cheong Xin Chan , Robert G. Beiko , Mark A. Ragan

Evolutionary models used for describing molecular sequence variation suppose that at a non-recombining genomic segment, sequences share ancestry that can be represented as a genealogy--a rooted, binary, timed tree, with tips corresponding…

Populations and Evolution · Quantitative Biology 2021-08-19 Julia A. Palacios , Anand Bhaskar , Filippo Disanto , Noah A. Rosenberg

RNA folding prediction remains challenging, but can be also studied using a topological mathematical approach. In the present paper, the mathematical method to compute the topological classification of RNA structures and based on matrix…

Biomolecules · Quantitative Biology 2025-08-11 Nicolò Cangiotti , Stefano Grasso

Calculation of the log-likelihood stands as the computational bottleneck for many statistical phylogenetic algorithms. Even worse is its gradient evaluation, often used to target regions of high probability. Order ${\cal…

Animal mitochondrial genomes usually have two transfer RNAs for Leucine: one, with anticodon UAG, translates the four-codon family CUN, whilst the other, with anticodon UAA, translates the two-codon family UUR. These two genes must differ…

Populations and Evolution · Quantitative Biology 2007-05-23 P. G. Higgs , D. Jameson , H. Jow , M. Rattray

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…

Combinatorics · Mathematics 2020-06-17 Filippo Disanto , Michael Fuchs , Ariel R. Paningbatan , Noah A. Rosenberg

One approach in phylogenomics to infer the tree of life is based on concatenated multiple sequence alignments from many genes. Unfortunately, the resulting so-called supermatrix is usually sparse, that is, not every gene sequence is…

Populations and Evolution · Quantitative Biology 2014-11-14 Olga Chernomor , Arndt von Haeseler , Bui Quang Minh

Applying machine learning to biological sequences - DNA, RNA and protein - has enormous potential to advance human health, environmental sustainability, and fundamental biological understanding. However, many existing machine learning…

Machine Learning · Statistics 2023-04-11 Alan Nawzad Amin , Eli Nathan Weinstein , Debora Susan Marks

The combinatorics of RNA plays a central role in biology. Mathematical biologists have several commonly-used models for RNA: words in a fixed alphabet (representing the primary sequence of nucleotides) and plane trees (representing the…

Combinatorics · Mathematics 2017-06-23 Frances Black , Elizabeth Drellich , Julianna Tymoczko

Bayesian phylogenetics is vital for understanding evolutionary dynamics, and requires accurate and efficient approximation of posterior distributions over trees. In this work, we develop a variational Bayesian approach for ultrametric…

Machine Learning · Statistics 2026-02-16 Evan Sidrow , Alexandre Bouchard-Côté , Lloyd T. Elliott

Search for possible relationships between phylogeny and ontogeny is one of the most important issues in the field of evolutionary developmental biology. By representing developmental dynamics of spatially located cells with gene expression…

Populations and Evolution · Quantitative Biology 2015-04-01 Takahiro Kohsokabe , Kunihiko Kaneko

We attempted to test biogeographic hypotheses proposed for the evolution of tropical faunas using mitochondrial DNA sequences of selected African mammalian taxa (Insectivora, Rodentia and Primates). 1/ we constructed a molecular phylogeny…

Populations and Evolution · Quantitative Biology 2007-05-23 Sophie Quérouil

In evolutionary biology, genetic sequences carry with them a trace of the underlying tree that describes their evolution from a common ancestral sequence. The question of how many sequence sites are required to recover this evolutionary…

Populations and Evolution · Quantitative Biology 2008-06-17 Mareike Fischer , Mike Steel

Clusters of genes that have evolved by repeated segmental duplication present difficult challenges throughout genomic analysis, from sequence assembly to functional analysis. Improved understanding of these clusters is of utmost importance,…

Machine Learning · Computer Science 2010-01-25 Tomáš Vinař , Broňa Brejová , Giltae Song , Adam Siepel

The inference of new information on the relatedness of species by phylogenetic trees based on DNA data is one of the main challenges of modern biology. But despite all technological advances, DNA sequencing is still a time-consuming and…

Populations and Evolution · Quantitative Biology 2015-03-19 Mareike Fischer

Bayesian inference is now a leading technique for reconstructing phylogenetic trees from aligned sequence data. In this short note, we formally show that the maximum posterior tree topology provides a statistically consistent estimate of a…

Populations and Evolution · Quantitative Biology 2013-07-12 Mike Steel

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

We showed in this paper that similarity network can be used as an powerful tools to study the relationship of tRNA genes. We constructed a network of 3719 tRNA gene sequences using simplest alignment and studied its topology, degree…

Molecular Networks · Quantitative Biology 2009-09-29 Fangping Wei , Sheng Li , Hongru Ma

Mitochondrial DNA (mtDNA) mutations cause severe congenital diseases but may also be associated with healthy aging. MtDNA is stochastically replicated and degraded, and exists within organelles which undergo dynamic fusion and fission. The…

Subcellular Processes · Quantitative Biology 2019-07-04 Juvid Aryaman , Charlotte Bowles , Nick S. Jones , Iain G. Johnston
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