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In evolutionary processes, population structure has a substantial effect on natural selection. Here, we analyze how motion of individuals affects constant selection in structured populations. Motion is relevant because it leads to changes…

Populations and Evolution · Quantitative Biology 2017-10-10 Madison S. Krieger , Alex McAvoy , Martin A. Nowak

We investigate how initial and boundary conditions influence the competition dynamics and outcome in dispersal-structured populations. The study is carried out through numerical modeling of the heterogeneous Brownian bugs model, in which…

Populations and Evolution · Quantitative Biology 2022-04-27 D. Navidad Maeso , M. Patriarca , E. Heinsalu

We investigate the effect of spatial range expansions on the evolution of fitness when beneficial and deleterious mutations co-segregate. We perform individual-based simulations of a uniform linear habitat and complement them with…

Populations and Evolution · Quantitative Biology 2013-06-10 Stephan Peischl , Isabelle Dupanloup , Mark Kirkpatrick , Laurent Excoffier

Evolution by Natural Selection is a process by which progeny inherit some properties from their progenitors with small variation. These properties are subject to Natural Selection and are called adaptive traits and carriers of the latter…

Analysis of PDEs · Mathematics 2024-01-29 Gonzalo Galiano , Yosef Cohen

As small particles skim our airways during breathing, or our intestines during digestion, the surface epithelium is subjected to local exogenous shear that deforms hundreds to thousands of tightly interacting cells. Unlike shear…

Biological Physics · Physics 2026-01-01 Shahar Nahum , Adi Y. Elkabetz , Matan Elbaz , Liav Daraf , Yael Lavi , Lior Atia

We study the evolution of recombination using a microscopic model developed within the frame of the theory of quantitative traits. Two components of fitness are considered: a static one that describes adaptation to environmental factors not…

Populations and Evolution · Quantitative Biology 2007-05-23 Franco Bagnoli , Carlo Guardiani

Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape of different cell types, wherein cells follow attractors of…

Quantitative Methods · Quantitative Biology 2023-09-15 Rongsheng Huang , Qiaojun Situ , Jinzhi Lei

For two genotypes that have the same mean number of offspring but differ in the variance in offspring number, natural selection will favor the genotype with lower variance. The concept of fitness becomes cloudy under these conditions…

Populations and Evolution · Quantitative Biology 2007-05-23 Max Shpak , Stephen Proulx

Complex spatial structure, with partially isolated subpopulations, and environment heterogeneity, such as gradients in nutrients, oxygen, and drugs, both shape the evolution of natural populations. We investigate the impact of environment…

Populations and Evolution · Quantitative Biology 2026-04-07 Cecilia Fruet , Arthur Alexandre , Alia Abbara , Claude Loverdo , Anne-Florence Bitbol

We present Brownian dynamics simulations of the facilitated diffusion of a protein, modelled as a sphere with a binding site on its surface, along DNA, modelled as a semi-flexible polymer. We consider both the effect of DNA organisation in…

Biological Physics · Physics 2012-12-10 C. A. Brackley , M. E. Cates , D. Marenduzzo

Evolution is a dynamic process. The two classical forces of evolution are mutation and selection. Assuming small mutation rates, evolution can be predicted based solely on the fitness differences between phenotypes. Predicting an…

Populations and Evolution · Quantitative Biology 2015-03-23 Benedikt Bauer , Chaitanya S. Gokhale

Antimicrobial resistance (AMR) is a global threat and combating its spread is of paramount importance. AMR often results from a cooperative behaviour with shared drug protection. Microbial communities generally evolve in volatile, spatially…

Populations and Evolution · Quantitative Biology 2026-03-25 Lluís Hernández-Navarro , Kenneth Distefano , Uwe C. Täuber , Mauro Mobilia

Microbial colonies are experimental model systems for studying the colonization of new territory by biological species through range expansion. We study a generalization of the two-species Eden model, which incorporates local…

Biological Physics · Physics 2015-11-12 Jan-Timm Kuhr , Holger Stark

We present an agent-based model inspired by the Evolutionary Minority Game (EMG), albeit strongly adapted to the case of competition for limited resources in ecology. The agents in this game become able, after some time, to predict the a…

Populations and Evolution · Quantitative Biology 2008-04-23 Daniel Campos , Josep E. Llebot , Vicenç Méndez

One of many important features of the tumour microenvironment is that it is a place of active Darwinian selection where different tumour clones become adapted to the variety of ecological niches that make up the microenvironment. These…

Biological Physics · Physics 2019-06-07 Thierry Fredrich , Heiko Rieger , Roberto Chignola , Edoardo Milotti

The parallel mutation-selection evolutionary dynamics, in which mutation and replication are independent events, is solved exactly in the case that the Malthusian fitnesses associated to the genomes are described by the Random Energy Model…

Biological Physics · Physics 2009-10-14 David B. Saakian , José F. Fontanari

Habitat loss is one of the biggest threats facing plant species nowadays. We formulate a simple mathematical model of seed dispersal on reduced habitats to discuss survival of the species in relation to the habitat size and seeds production…

Probability · Mathematics 2023-05-24 Cristian F. Coletti , Nevena Marić , Pablo M. Rodriguez

Rare long distance dispersal events are thought to have a disproportionate impact on the spread of invasive species. Modelling using integrodifference equations suggests that, when long distance contacts are represented by a fat-tailed…

Populations and Evolution · Quantitative Biology 2015-12-01 Guy S. Jacobs , Tim J. Sluckin

This paper and accompanying Python and C++ Framework is the product of the authors perceived problems with narrow (Discrimination based) AI. (Artificial Intelligence) The Framework attempts to develop a genetic transfer of experience…

Neural and Evolutionary Computing · Computer Science 2026-04-23 Jamie Nicholas Shelley , Optishell Consultancy

In evolution, the effects of a single deleterious mutation can sometimes be compensated for by a second mutation which recovers the original phenotype. Such epistatic interactions have implications for the structure of genome space -…

Populations and Evolution · Quantitative Biology 2015-03-19 Steffen Schaper , Iain G. Johnston , Ard A. Louis