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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

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

In this paper, we investigate the consequences of dormancy in the `rare mutation' and `large population' regime of stochastic adaptive dynamics. Starting from an individual-based micro-model, we first derive the polymorphic evolution…

Populations and Evolution · Quantitative Biology 2022-09-07 Jochen Blath , Tobias Paul , András Tobiás , Maite Wilke Berenguer

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

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

Biological Physics · Physics 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

In this paper we propose a Moran model that describes the population dynamics of two types: While the first type has a selective advantage during reproduction, the second type can avoid replacement during reproduction with some positive…

Populations and Evolution · Quantitative Biology 2026-03-02 Jochen Blath , Baptiste Le Duigou , András Tóbiás

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

We consider a stochastic individual-based model for the evolution of a haploid, asexually reproducing population. The space of possible traits is given by the vertices of a (possibly directed) finite graph $G=(V,E)$. The evolution of the…

Probability · Mathematics 2020-03-10 Loren Coquille , Anna Kraut , Charline Smadi

Ecological and evolutionary dynamics have been historically regarded as unfolding at broadly separated timescales. However, these two types of processes are nowadays well documented to much more tightly than traditionally assumed,…

Populations and Evolution · Quantitative Biology 2021-11-17 José Camacho Mateu , Matteo Sireci , Miguel A. Muñoz

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

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

We investigate a stochastic individual-based model for the population dynamics of host-virus systems where the microbial hosts may transition into a dormant state upon contact with virions, thus evading infection. Such a contact-mediated…

Populations and Evolution · Quantitative Biology 2022-11-07 Jochen Blath , András Tóbiás

Laboratory experiments with bacterial colonies, under well-controlled conditions often lead to evolutionary diversification, where at least two ecotypes emerge from an initially monomorphic population. Empirical evidence suggests that such…

Populations and Evolution · Quantitative Biology 2024-11-06 Roberto Corral López , Samir Suweis , Sandro Azaele , Miguel A. Muñoz

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

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

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

Microbial dormancy is an evolutionary trait that has emerged independently at various positions across the tree of life. It describes the ability of a microorganism to switch to a metabolically inactive state that can withstand unfavorable…

Probability · Mathematics 2020-04-08 Jochen Blath , András Tóbiás

In the present article, we investigate the effects of dormancy on an abstract population genetic level. We first provide a short review of seed bank models in population genetics, and the role of dormancy for the interplay of evolutionary…

Probability · Mathematics 2020-12-03 Jochen Blath , Noemi Kurt
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