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Optimal sex allocation theory is one of the most intricately developed areas of evolutionary ecology. Under a range of conditions, particularly under population sub-division, selection favours sex being allocated to offspring non-randomly,…

Applications · Statistics 2016-08-11 Richard D. Wilkinson , Apostolos Kapranas , Ian C. W. Hardy

Recent theoretical studies have shown that demographic stochasticity can greatly increase the tendency of asexually reproducing phenotypically diverse organisms to spontaneously evolve into localised clusters, suggesting a simple mechanism…

Populations and Evolution · Quantitative Biology 2016-03-23 Luis F. Lafuerza , Alan J. McKane

The outcomes of evolution are determined by which mutations occur and fix. In rapidly adapting microbial populations, this process is particularly hard to predict because lineages with different beneficial mutations often spread…

Populations and Evolution · Quantitative Biology 2014-02-17 Evgeni M. Frenkel , Benjamin H. Good , Michael M. Desai

In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix. The resulting dynamics, although studied by many authors, is…

Populations and Evolution · Quantitative Biology 2015-06-11 Daniel S. Fisher

The Time To the Most Recent Common Ancestor (TMRCA) based on human mitochondrial DNA (mtDNA) is estimated to be twice that based on the non-recombining part of the Y chromosome (NRY). These TMRCAs have special demographic implications…

Populations and Evolution · Quantitative Biology 2013-12-19 Maroussia Favre , Didier Sornette

We discuss two different ways of chromosomes' and genomes' evolution. Purifying selection dominates in large panmictic populations, where Mendelian law of independent gene assortment is valid. If the populations are small, recombination…

Populations and Evolution · Quantitative Biology 2010-07-21 Stanislaw Cebrat , Dietrich Stauffer , Wojciech Waga

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

Populations and Evolution · Quantitative Biology 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

The $M_{\bullet} - \sigma$ relation establishes a connection between central black holes (BHs) and their host spheroids. Supported by observations at $M_{\bullet} \gtrsim 10^5 \, M_{\odot}$, there is limited data on its validity at lower…

Astrophysics of Galaxies · Physics 2018-08-30 Fabio Pacucci , Abraham Loeb , Mar Mezcua , Ignacio Martín-Navarro

One of the most challenging problems in microbiology is to understand how a small fraction of microbes that resists killing by antibiotics can emerge in a population of genetically identical cells, the phenomenon known as persistence or…

Subcellular Processes · Quantitative Biology 2015-06-17 Andrea Rocco , Andrzej M. Kierzek , Johnjoe McFadden

The dynamics of adaptation is difficult to predict because it is highly stochastic even in large populations. The uncertainty emerges from number fluctuations, called genetic drift, arising in the small number of particularly fit…

Populations and Evolution · Quantitative Biology 2015-06-30 Oskar Hallatschek , Lukas Geyrhofer

Many life-history traits, like the age at maturity or adult longevity, are important determinants of the generation time. For instance, semelparous species whose adults reproduce once and die have shorter generation times than iteroparous…

Populations and Evolution · Quantitative Biology 2016-04-22 Mélissa Verin , Salomé Bourg , Frédéric Menu , Etienne Rajon

The evolution of complex molecular traits such as disulphide bridges often requires multiple mutations. The intermediate steps in such evolutionary trajectories are likely to be selectively neutral or deleterious. Therefore, large…

Populations and Evolution · Quantitative Biology 2007-10-16 Dion J. Whitehead , Claus O. Wilke , David Vernazobres , Erich Bornberg-Bauer

The contribution to an organism's phenotype from one genetic locus may depend upon the status of other loci. Such epistatic interactions among loci are now recognized as fundamental to shaping the process of adaptation in evolving…

Populations and Evolution · Quantitative Biology 2012-12-18 Jeremy A. Draghi , Joshua B. Plotkin

Cryptic genetic sequences have attenuated effects on phenotypes. In the classic view, relaxed selection allows cryptic genetic diversity to build up across individuals in a population, providing alleles that may later contribute to…

Populations and Evolution · Quantitative Biology 2013-05-23 Etienne Rajon , Joanna Masel

In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as…

Populations and Evolution · Quantitative Biology 2022-02-18 Alex McAvoy , Benjamin Allen

We have used the Monte Carlo based computer models to show that selection pressure could affect the distribution of recombination hotspots along the chromosome. Close to critical crossover rate, where genomes may switch between the…

Genomics · Quantitative Biology 2015-05-13 Jakub Kowalski , Wojciech Waga , Marta Zawierta , Stanislaw Cebrat

How does the interplay between selection, mutation and horizontal gene transfer modify the phenotypic distribution of a bacterial or cell population? While horizontal gene transfer, which corresponds to the exchange of genetic material…

Analysis of PDEs · Mathematics 2023-02-08 Alejandro Gárriz , Alexis Léculier , Sepideh Mirrahimi

We are concerned with a special form of the (stochastic) Allen-Cahn equation, which can be seen as a model of hybrid zones in population genetics. Individuals in the population can be of one of three types; $aa$ are fitter than $AA$, and…

Probability · Mathematics 2022-04-04 Alison M. Etheridge , Mitchell D. Gooding , Ian Letter

Organisms that exploit different environments may experience a stochastic delay in adjusting their fitness when they switch habitats. We study two species whose fitness is determined by the species composition of the local environment, as…

Biological Physics · Physics 2019-02-04 Marianne Bauer , Erwin Frey