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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

Recent theoretical studies have shown that demographic stochasticity can greatly increase the tendency of asexually reproducing phenotypically diverse organisms to spontaneously evolve into localised clusters, suggesting a simple mechanism…

Populations and Evolution · Quantitative Biology 2016-03-23 Luis F. Lafuerza , Alan J. McKane

We consider a stationary continuous model of random size population with non-neutral mutations using a continuous state branching process with non-homogeneous immigration. We assume the type (or mutation) of the immigrants is random given…

Probability · Mathematics 2013-07-26 Hongwei Bi , Jean-François Delmas

Genetic interactions can strongly influence the fitness effects of individual mutations, yet the impact of these epistatic interactions on evolutionary dynamics remains poorly understood. Here we investigate the evolutionary role of…

Populations and Evolution · Quantitative Biology 2014-11-14 Benjamin H. Good , Michael M. Desai

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Andrzej Pekalski , Marcel Ausloos

Monte Carlo methods are widely used for neutron transport simulations at least partly because of the accuracy they bring to the modeling of these problems. However, the computational burden associated with the slow convergence rate of Monte…

Computational Physics · Physics 2025-09-30 Jordan Northrop , Ilham Variansyah , Todd Palmer , Camille Palmer

A multi-type neutral Cannings population model with mutation and fixed subpopulation sizes is analyzed. Under appropriate conditions, as all subpopulation sizes tend to infinity, the ancestral process, properly time-scaled, converges to a…

Probability · Mathematics 2023-04-13 Martin Möhle

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

The utilization of populations is one of the most important features of evolutionary algorithms (EAs). There have been many studies analyzing the impact of different population sizes on the performance of EAs. However, most of such studies…

Neural and Evolutionary Computing · Computer Science 2012-08-14 Tianshi Chen , Ke Tang , Guoliang Chen , Xin Yao

We have used the sexual Penna ageing model to show that the relation between dominance and recessiveness could be a force which optimizes the genome size. While the possibility of complementation of the damaged allele by its functional…

Populations and Evolution · Quantitative Biology 2007-05-23 Diana Garncarz , Stanislaw Cebrat , Dietrich Stauffer , Klaus Blindert

Many theoretical and experimental studies suggest that range expansions can have severe consequences for the gene pool of the expanding population. Due to strongly enhanced genetic drift at the advancing frontier, neutral and weakly…

Populations and Evolution · Quantitative Biology 2012-04-02 Remi Lehe , Oskar Hallatschek , Luca Peliti

We consider a model for Darwinian evolution in an asexual population with a large but non-constant populations size characterized by a natural birth rate, a logistic death rate modelling competition and a probability of mutation at each…

Probability · Mathematics 2015-08-28 Martina Baar , Anton Bovier , Nicolas Champagnat

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

Stable mixtures of cooperators and defectors are often seen in nature. This fact is at odds with predictions based on linear public goods games under weak selection. That model implies fixation either of cooperators or of defectors, and the…

Populations and Evolution · Quantitative Biology 2012-11-15 Roberto H. Schonmann , Renato Vicente , Robert Boyd

We use Monte Carlo simulations and assumptions from evolutionary game theory in order to study the evolution of words and the population dynamics of a system comprising two interacting species which initially speak two different languages.…

Statistical Mechanics · Physics 2009-11-11 Kosmas Kosmidis , John M. Halley , Panos Argyrakis

How fast does a population evolve from one fitness peak to another? We study the dynamics of evolving, asexually reproducing populations in which a certain number of mutations jointly confer a fitness advantage. We consider the time until a…

Populations and Evolution · Quantitative Biology 2010-03-31 Chaitanya S. Gokhale , Yoh Iwasa , Martin A. Nowak , Arne Traulsen

When polygenic traits are under stabilizing selection, many different combinations of alleles allow close adaptation to the optimum. If alleles have equal effects, all combinations that result in the same deviation from the optimum are…

Populations and Evolution · Quantitative Biology 2014-04-04 Harold P. de Vladar , Nick Barton

In an adaptive population which models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents' initial preferences of strategies. When the diversity decreases, more agents tend to…

Physics and Society · Physics 2008-12-02 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

Computer simulations of the Penna ageing model suggest that already a small fraction of births with enhanced number of new mutations can negatively influence the whole population.

Populations and Evolution · Quantitative Biology 2015-05-13 S. Cebrat , D. Stauffer