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Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad picture of relationships between extant groups requires use of…

Populations and Evolution · Quantitative Biology 2007-08-28 David Aldous , Maxim Krikun , Lea Popovic

A popular line of research in evolutionary biology is the use of time-calibrated phylogenies for the inference of diversification processes. This requires computing the likelihood of a given ultrametric tree as the reconstructed tree…

Populations and Evolution · Quantitative Biology 2013-01-24 Amaury Lambert , Hélène Morlon , Rampal S. Etienne

RNA function crucially depends on its structure. Thermodynamic models currently used for secondary structure prediction rely on computing the partition function of folding ensembles, and can thus estimate minimum free-energy structures and…

Biomolecules · Quantitative Biology 2022-07-26 Nicola Calonaci , Alisha Jones , Francesca Cuturello , Michael Sattler , Giovanni Bussi

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

MicroRNAs (miRNAs) are a class of non-coding RNAs that regulate gene expression. Identification of total number of miRNAs even in completely sequenced organisms is still an open problem. However, researchers have been using techniques that…

Computational Engineering, Finance, and Science · Computer Science 2012-05-24 A. K. Mishra , H. Chandrasekharan

The supertree construction problem is about combining several phylogenetic trees with possibly conflicting information into a single tree that has all the leaves of the source trees as its leaves and the relationships between the leaves are…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Laura Koponen , Emilia Oikarinen , Tomi Janhunen , Laura Säilä

Reconstructing pathogen dynamics from genetic data as they become available during an outbreak or epidemic represents an important statistical scenario in which observations arrive sequentially in time and one is interested in performing…

Populations and Evolution · Quantitative Biology 2020-02-04 Mandev S. Gill , Philippe Lemey , Marc A. Suchard , Andrew Rambaut , Guy Baele

In the small phylogeny problem we, are given a phylogenetic tree and gene orders of the extant species and our goal is to reconstruct all of the ancestral genomes so that the number of evolutionary operations is minimized. Algorithms for…

Populations and Evolution · Quantitative Biology 2015-03-17 Jakub Kováč , Broňa Brejová , Tomáš Vinař

Accurate identification of synergistic treatment combinations and their underlying biological mechanisms is critical across many disease domains, especially cancer. In translational oncology research, preclinical systems such as…

Applications · Statistics 2023-10-31 Tsung-Hung Yao , Zhenke Wu , Karthik Bharath , Jinju Li , Veerabhadran Baladandayuthapan

Phylogenetic tree inference using deep DNA sequencing is reshaping our understanding of rapidly evolving systems, such as the within-host battle between viruses and the immune system. Densely sampled phylogenetic trees can contain special…

Populations and Evolution · Quantitative Biology 2020-06-03 Cheng Zhang , Vu Dinh , Frederick A. Matsen

We consider the reconciliation problem, in which the task is to find a mapping of a gene tree into a species tree, so as to maximize the likelihood of such fitting, given the available data. We describe a model for the evolution of the…

Populations and Evolution · Quantitative Biology 2023-11-09 Albert C. Soewongsono , Jiahao Diao , Tristan Stark , Amanda E. Wilson , David A. Liberles , Barbara R. Holland , Malgorzata M. O'Reilly

Precision and reliability of barcode-based biodiversity assessment can be affected at several steps during acquisition and analysis of the data. Identification of barcodes is one of the crucial steps in the process and can be accomplished…

Populations and Evolution · Quantitative Biology 2017-04-19 Oleksandr Holovachov , Quiterie Haenel , Sarah J. Bourlat , Ulf Jondelius

Applying a method to reconstruct a phylogenetic tree from random data provides a way to detect whether that method has an inherent bias towards certain tree `shapes'. For maximum parsimony, applied to a sequence of random 2-state data, each…

Populations and Evolution · Quantitative Biology 2014-06-03 Mareike Fischer , Michelle Galla , Lina Herbst , Mike Steel

Motivation: Non-coding RNAs (ncRNAs) express their functions by adopting molecular structures. Specifically, RNA secondary structures serve as a relatively stable intermediate step before tertiary structures, offering a reliable signature…

Data Structures and Algorithms · Computer Science 2024-02-07 Bertrand Marchand , Yoann Anselmetti , Manuel Lafond , Aïda Ouangraoua

Phylogenetic networks provide a means of describing the evolutionary history of sets of species believed to have undergone hybridization or gene flow during their evolution. The mutation process for a set of such species can be modeled as a…

Populations and Evolution · Quantitative Biology 2022-11-23 Travis Barton , Elizabeth Gross , Colby Long , Joseph Rusinko

The relative rate framework (RRF) can estimate divergence times from branch lengths in a phylogeny, which is the theoretical basis of the RelTime method frequently applied, a relaxed clock approach for molecular dating that scales well for…

Populations and Evolution · Quantitative Biology 2025-02-10 Qiqing Tao , Sudip Sharma , Koichiro Tamura , Sudhir Kumar

We derive tractable criteria for the consistency of Bayesian tree reconstruction procedures, which constitute a central class of algorithms for inferring common ancestry among DNA sequence samples in phylogenetics. Our results encompass…

Statistics Theory · Mathematics 2025-08-05 Alisa Kirichenko , Luke J. Kelly , Jere Koskela

Reconstructing the evolutionary history relating a collection of molecular sequences is the main subject of modern Bayesian phylogenetic inference. However, the commonly used Markov chain Monte Carlo methods can be inefficient due to the…

Machine Learning · Statistics 2024-08-12 Tianyu Xie , Frederick A. Matsen , Marc A. Suchard , Cheng Zhang

Identifying and understanding the large-scale biodiversity patterns in time and space is vital for conservation and addressing fundamental ecological and evolutionary questions. Network-based methods have proven useful for simplifying and…

Populations and Evolution · Quantitative Biology 2023-07-03 Daniel Edler , Anton Holmgren , Alexis Rojas , Joaquín Calatayud , Martin Rosvall , Alexandre Antonelli

The total-evidence approach to divergence-time dating uses molecular and morphological data from extant and fossil species to infer phylogenetic relationships, species divergence times, and macroevolutionary parameters in a single coherent…

Populations and Evolution · Quantitative Biology 2017-01-25 Alexandra Gavryushkina , Tracy A. Heath , Daniel T. Ksepka , Tanja Stadler , David Welch , Alexei J. Drummond