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We study a model of a branching process subject to selection, modeled by giving each family an individual fitness acting as a branching rate, and mutation, modeled by resampling the fitness of a proportion of offspring in each generation.…

概率论 · 数学 2025-02-21 Su-Chan Park , Joachim Krug , Peter Mörters

We study the long-time behaviour of a population structured by age and a phenotypic trait under a selection-mutation dynamics. By analysing spectral properties of a family of positive operators on measure spaces, we show the existence of…

偏微分方程分析 · 数学 2018-05-28 Tristan Roget

We study a population of $N$ individuals evolving according to a biparental Moran model with two types, one being advantaged compared to the other. The advantage is conferred by a Mendelian mutation, which reduces the death probability of…

概率论 · 数学 2026-03-24 Camille Coron , Yves Le Jan

We consider a stochastic model of population dynamics where each individual is characterised by a trait in {0,1,...,L} and has a natural reproduction rate, a logistic death rate due to age or competition and a probability of mutation…

概率论 · 数学 2019-02-12 Anton Bovier , Loren Coquille , Charline Smadi

We investigate the process of fixation of advantageous mutations in an asexual population. We assume that the effect of each beneficial mutation is exponentially distributed with mean value $\omega_{med}=1/\beta$. The model also considers…

种群与进化 · 定量生物学 2009-11-10 Viviane M. de Oliveira , Paulo R. A. Campos

The environment in which a population evolves can have a crucial impact on selection. We study evolutionary dynamics in finite populations of fixed size in a changing environment. The population dynamics are driven by birth and death…

种群与进化 · 定量生物学 2014-09-01 Peter Ashcroft , Philipp M Altrock , Tobias Galla

We consider an asexual biological population of constant size $N$ evolving in discrete time under the influence of selection and mutation. Beneficial mutations appear at rate $U$ and their selective effects $s$ are drawn from a distribution…

种群与进化 · 定量生物学 2015-05-14 Su-Chan Park , Damien Simon , Joachim Krug

Because mutations are mostly deleterious, mutation rates should be reduced by natural selection. However, mutations also provide the raw material for adaptation. Therefore, evolutionary theory suggests that the mutation rate must balance…

种群与进化 · 定量生物学 2014-08-26 Yoav Ram , Lilach Hadany

It has been shown that differences in fecundity variance can influence the probability of invasion of a genotype in a population, i.e. a genotype with lower variance in offspring number can be favored in finite populations even if it has a…

种群与进化 · 定量生物学 2007-05-23 Max Shpak

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the…

偏微分方程分析 · 数学 2021-11-10 Florian Patout , R Forien , M Alfaro , J Papaïx , L Roques

We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus and we investigate the probability that both mutations will eventually fix in the…

概率论 · 数学 2008-12-02 Feng Yu , Alison Etheridge , Charles Cuthbertson

Evolution occurs in populations of reproducing individuals. In stochastic descriptions of evolutionary dynamics, such as the Moran process, individuals are chosen randomly for birth and for death. If the same type is chosen for both steps,…

种群与进化 · 定量生物学 2026-01-13 Michal Pecho , Josef Tkadlec , Martin A. Nowak

Due to stochastic fluctuations arising from finite population size, known as genetic drift, the ability of a population to explore a rugged fitness landscape depends on its size. In the weak mutation regime, while the mean steady-state…

种群与进化 · 定量生物学 2024-12-30 Richard Servajean , Anne-Florence Bitbol

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

统计力学 · 物理学 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutations can occur either at birth of individuals or at a constant…

概率论 · 数学 2012-11-29 Nicolas Champagnat , Amaury Lambert , Mathieu Richard

We study the evolution of preferences in multi-population settings that allow matches across distinct populations. Each individual has subjective preferences over potential outcomes, and chooses a best response based on his preferences and…

计算机科学与博弈论 · 计算机科学 2024-09-20 Yu-Sung Tu , Wei-Torng Juang

The question of why we age is a fundamental one. It is about who we are, and it also might have critical practical aspects as we try to find ways to age slower. Or to not age at all. Different reasons point at distinct strategies for the…

种群与进化 · 定量生物学 2020-11-10 André C. R. Martins

This paper shows that differentiating the lifetimes of two phenotypes independently from their fertility can lead to a qualitative change in the equilibrium of a population: since survival and reproduction are distinct functional aspects of…

种群与进化 · 定量生物学 2013-05-22 Ignacio Gallo

Mutational robustness quantifies the effect of random mutations on fitness. When mutational robustness is high, most mutations do not change fitness or have only a minor effect on it. From the point of view of fitness landscapes, robust…

种群与进化 · 定量生物学 2019-10-22 Alexander Klug , Su-Chan Park , Joachim Krug

Evolution on neutral networks of genotypes has been found in models to concentrate on genotypes with high mutational robustness, to a degree determined by the topology of the network. Here analysis is generalized beyond neutral networks to…

种群与进化 · 定量生物学 2015-09-01 Lee Altenberg