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Horizontal transfer (HT) of heritable information or `traits' (carried by genetic elements, endosymbionts, or culture) is widespread among living organisms. Yet current ecological and evolutionary theory addressing HT is limited. We present…

Populations and Evolution · Quantitative Biology 2015-12-01 Sylvain Billiard , Pierre Collet , Régis Ferrière , Sylvie Méléard , Viet Chi Tran

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

Horizontal gene transfer is an important factor in bacterial evolution that can act across species boundaries. Yet, we know little about rate and genomic targets of cross-lineage gene transfer, and about its effects on the recipient…

Populations and Evolution · Quantitative Biology 2022-10-12 Jeffrey J. Power , Fernanda Pinheiro , Simone Pompei , Viera Kovacova , Melih Yüksel , Isabel Rathmann , Mona Förster , Michael Lässig , Berenike Maier

In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary equilibria of a phenotypically structured population, subject to selection, mutation,…

Analysis of PDEs · Mathematics 2022-01-19 Alexis Léculier , Sepideh Mirrahimi

Martincorena et al. estimated synonymous diversity ({\theta}s = 2N{\mu}) across 2,930 orthologous gene alignments from 34 Escherichia coli genomes, and found substantial variation among genes in the density of synonymous polymorphisms. They…

Populations and Evolution · Quantitative Biology 2012-10-02 Rohan Maddamsetti , Philip J. Hatcher , Stéphane Cruveiller , Claudine Médigue , Jeffrey E. Barrick , Richard E. Lenski

Horizontal gene Transfer (HT) denotes the transmission of genetic material between two living organisms, while the vertical transmission refers to a DNA transfer from parents to their offspring. Consistent experimental evidence report that…

Populations and Evolution · Quantitative Biology 2021-02-12 Vincent Calvez , Susely Figueroa Iglesias , Hélène Hivert , Sylvie Méléard , Anna Melnykova , Samuel Nordmann

The observation that phenotypic variability is ubiquitous in isogenic populations has led to a multitude of experimental and theoretical studies seeking to probe the causes and consequences of this variability. Whether it be in the context…

Populations and Evolution · Quantitative Biology 2022-02-18 Ethan Levien , Jiseon Min , Jane Kondev , Ariel Amir

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

In this paper, we study an integro-differential equation which describes the evolutionary dynamics of a population structured by a phenotypic trait. This population undergoes asexual reproduction, competition, selection, and mutation. We…

Analysis of PDEs · Mathematics 2025-11-18 Caroline Guinet , Sepideh Mirrahimi , Jean-Michel Roquejoffre

We present a model for the dynamics of a population of bacteria with a continuum of traits, who compete for resources and exchange horizontally (transfer) an otherwise vertically inherited trait with possible mutations. Competition…

Probability · Mathematics 2017-07-27 Sylvain Billiard , Pierre Collet , Régis Ferrière , Sylvie Méléard , Viet Chi Tran

Genetically identical cells in the same population can take on phenotypically variable states, leading to differentiated responses to external signals, such as nutrients and drug-induced stress. Many models and experiments have focused on a…

Molecular Networks · Quantitative Biology 2015-04-28 Thierry Mora , Aleksandra M. Walczak

This paper develops a mathematical model describing the influence that conjugation-mediated Horizontal Gene Transfer (HGT) has on the mutation-selection balance in an asexually reproducing population of unicellular, prokaryotic organisms.…

Populations and Evolution · Quantitative Biology 2009-07-06 Yoav Raz , Emmanuel Tannenbaum

The biological world, especially its majority microbial component, is strongly interacting and may be dominated by collective effects. In this review, we provide a brief introduction for statistical physicists of the way in which living…

Populations and Evolution · Quantitative Biology 2015-05-20 Nicholas Chia , Nigel Goldenfeld

We study the asymptotic behavior of an integro-dierential equation describing the evolutionary adaptation of a population structured by a phenotypic trait. The model takes into account mutation, selection, horizontal gene transfer and…

Analysis of PDEs · Mathematics 2026-04-03 Alejandro Gárriz , Sepideh Mirrahimi

We investigate the interplay between two fundamental mechanisms of microbial population dynamics and evolution called dormancy and horizontal gene transfer. The corresponding traits come in many guises and are ubiquitous in microbial…

Probability · Mathematics 2021-05-26 Jochen Blath , András Tóbiás

The genome of bacterial species is much more flexible than that of eukaryotes. Moreover, the distributed genome hypothesis for bacteria states that the total number of genes present in a bacterial population is greater than the genome of…

Probability · Mathematics 2014-11-24 Franz Baumdicker , Peter Pfaffelhuber

In this work, we characterize the solution of a system of elliptic integro-differential equations describing a phenotypically structured population subject to mutation, selection and migration between two habitats. Assuming that the effects…

Analysis of PDEs · Mathematics 2016-12-20 Sepideh Mirrahimi

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

Large sets of genotypes give rise to the same phenotype because phenotypic expression is highly redundant. Accordingly, a population can accept mutations without altering its phenotype, as long as thegenotype mutates into another one on the…

Populations and Evolution · Quantitative Biology 2015-02-18 Susanna Manrubia , José A. Cuesta

We study a family of selection-mutation models of a sexual population structured by a phenotypical trait. The main feature of these models is the asymmetric trait heredity or fecundity between the parents : we assume that each individual…

Analysis of PDEs · Mathematics 2022-04-11 Benoît Perthame , Martin Strugarek , Cécile Taing
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