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Coevolutionary arms races form between interacting populations that constitute each other's environment and respond to mutual changes. This inherently far-from-equilibrium process finds striking manifestations in the adaptive immune system,…

Biological Physics · Physics 2019-12-18 Hongda Jiang , Shenshen Wang

We investigate the evolutionary dynamics of a finite population of RNA sequences adapting to a neutral fitness landscape. Despite the lack of differential fitness between viable sequences, we observe typical properties of adaptive…

Populations and Evolution · Quantitative Biology 2007-05-23 Robert Forster , Christoph Adami , Claus O. Wilke

Biological systems are modular, and this modularity evolves over time and in different environments. A number of observations have been made of increased modularity in biological systems under increased environmental pressure. We here…

Populations and Evolution · Quantitative Biology 2015-01-07 Jeong-Man Park , Liang Ren Niestemski , Michael W. Deem

The quasispecies model of biological evolution for asexual organisms such as bacteria and viruses has attracted considerable attention of biological physicists. Many variants of the model have been proposed and subsequently solved using the…

Statistical Mechanics · Physics 2011-06-28 Bartlomiej Waclaw

We analyze the long-term stability of a stochastic model designed to illustrate the adaptation of a population to variation in its environment. A piecewise-deterministic process modeling adaptation is coupled to a Feller logistic diffusion…

Probability · Mathematics 2021-09-14 Aurélien Velleret

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

Viruses like influenza have long coevolved with host immune systems, gradually shaping the evolutionary trajectory of these pathogens. Host immune systems develop immunity against circulating strains, which in turn avoid extinction by…

In this paper, we wish to investigate the dynamics of information transfer in evolutionary dynamics. We use information theoretic tools to track how much information an evolving population has obtained and managed to retain about different…

Populations and Evolution · Quantitative Biology 2021-04-09 Nicholas Guttenberg

Deterministic continuum models formulated in terms of non-local partial differential equations for the evolutionary dynamics of populations structured by phenotypic traits have been used recently to address open questions concerning the…

Populations and Evolution · Quantitative Biology 2020-10-14 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

We study the stochastic dynamics of evolutionary games, and focus on the so-called `stochastic slowdown' effect, previously observed in (Altrock et. al, 2010) for simple evolutionary dynamics. Slowdown here refers to the fact that a…

Populations and Evolution · Quantitative Biology 2012-07-30 Philipp M. Altrock , Arne Traulsen , Tobias Galla

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

Population dynamics and evolutionary genetics underly the structure of ecosystems, changing on the same timescale for interacting species with rapid turnover, such as virus (e.g. HIV) and immune response. Thus, an important problem in…

Populations and Evolution · Quantitative Biology 2021-06-17 Cameron J. Browne , Fadoua Yahia

In this letter we study the full semi-conservative treatment of a model for the co-evolution of a virus and an adaptive immune system. Regions of viability are calculated for both conservatively and semi-conservatively replicating viruses…

Populations and Evolution · Quantitative Biology 2009-11-10 Yisroel Brumer , Eugene I. Shakhnovich

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation. Biologically motivated by the influence of seasons or the variation of drug concentration during medical treatment,…

Probability · Mathematics 2025-03-26 Manuel Esser , Anna Kraut

The evolution of antimicrobial resistance generally occurs in an environment where antimicrobial concentration is variable, which has dramatic consequences on the microorganisms' fitness landscape, and thus on the evolution of resistance.…

Biological Physics · Physics 2018-10-23 Loïc Marrec , Anne-Florence Bitbol

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Sylvie Méléard

We introduce and discuss a minimal individual-based model for influenza dynamics. The model takes into account the effects of specific immunization against viral strains, but also infectivity randomness and the presence of a short-lived…

Populations and Evolution · Quantitative Biology 2009-11-11 Francesca Tria , Michael Laessig , Luca Peliti , Silvio Franz

We investigate the competition dynamics of two microbial or viral strains that live in an environment that switches periodically between two states. One of the strains is adapted to the long-term environment, but pays a short-term cost,…

Populations and Evolution · Quantitative Biology 2013-05-29 Robert Forster , Claus O. Wilke

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