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Related papers: Horizontal gene transfer: numerical comparison bet…

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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

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

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

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 describe a stochastic birth-and-death model of evolution of horizontally transferred genes in microbial populations. The model is a generalization of the stochastic model described by Berg and Kurland and includes five parameters: the…

Genomics · Quantitative Biology 2007-05-23 Artem S. Novozhilov , Georgy P. Karev , Eugene V. Koonin

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

In a short article submitted to ArXiv [1], Maddamsetti et al. argue that the variation in the neutral mutation rate among genes in Escherichia coli that we recently reported [2] might be explained by horizontal gene transfer (HGT). To…

Populations and Evolution · Quantitative Biology 2012-11-08 Inigo Martincorena , Nicholas M. Luscombe

The stacked contact process is a stochastic model for the spread of an infection within a population of hosts located on the $d$-dimensional integer lattice. Regardless of whether they are healthy or infected, hosts give birth and die at…

Probability · Mathematics 2014-10-16 Nicolas Lanchier , Yuan Zhang

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

This paper introduces a stochastic adaptive dynamics model for the interplay of several crucial traits and mechanisms in bacterial evolution, namely dormancy, horizontal gene transfer (HGT), mutation and competition. In particular, it…

Probability · Mathematics 2023-01-27 Jochen Blath , Tobias Paul , András Tóbiás

We consider a stochastic model for the evolution of a discrete population structured by a trait with values on a finite grid of the torus, and with mutation and selection. Traits are vertically inherited unless a mutation occurs, and…

Probability · Mathematics 2022-06-17 Nicolas Champagnat , Sylvie Méléard , Sepideh Mirrahimi , Viet Chi Tran

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

This study conducts a comparative analysis of stochastic and deterministic models to better understand the dynamics of the HIV epidemic across genders. By incorporating gender-specific transmission probabilities and treatment uptake rates,…

Populations and Evolution · Quantitative Biology 2025-01-30 Nuzhat Nuari Khan Rivu , Md Kamrujjaman , Shohel Ahmed

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

In this paper, we investigate the asymptotic behavior of individual-based models describing the evolution of a population structured by a real trait, subject to selection and mutation. We consider two different sets of assumptions: first,…

Probability · Mathematics 2026-03-03 Anouar Jeddi

In this article we are describing a new algorithm for detecting and validating partial horizontal gene transfers (HGT). The presented algorithm is based on a sliding window procedure which analyzes fragments of the given multiple sequence…

Quantitative Methods · Quantitative Biology 2021-12-28 Boc Alix , Diallo Alpha Boubacar , Makarenkov Vladimir

In previous papers we have described with strong experimental support, the organising role that CoHSI (Conservation of Hartley-Shannon Information) plays in determining important global properties of all known proteins, from defining the…

Other Quantitative Biology · Quantitative Biology 2018-11-07 Les Hatton , Gregory Warr

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

Bacteria and phages have been in an ongoing arms race for billions of years. To resist phages bacteria have evolved numerous defense systems, which nevertheless are still overcome by counter-defense mechanisms of specific phages. These…

Populations and Evolution · Quantitative Biology 2025-08-05 Wenping Cui , Jemma M. Fendley , Sriram Srikant , Boris Shraiman

The evolution and emergence of antibiotic resistance is a major public health concern. The understanding of the within-host microbial dynamics combining mutational processes, horizontal gene transfer and resource consumption, is one of the…

Populations and Evolution · Quantitative Biology 2020-03-09 Ramsès Djidjou-Demasse , Samuel Alizon , Mircea T. Sofonea
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