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We consider a model of asexually reproducing individuals. The birth and death rates of the individuals are affected by a fitness parameter. The rate of mutations that cause the fitnesses to change is proportional to the population size, N.…

概率论 · 数学 2013-07-24 Michael Kelly

We consider the accumulation of beneficial and deleterious mutations in large asexual populations. The rate of adaptation is affected by the total mutation rate, proportion of beneficial mutations and population size $N$. We show that…

概率论 · 数学 2010-10-18 Feng Yu , Alison Etheridge , Charles Cuthbertson

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

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

偏微分方程分析 · 数学 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

In large asexual populations, beneficial mutations have to compete with each other for fixation. Here, I derive explicit analytic expressions for the rate of substitution and the mean beneficial effect of fixed mutations, under the…

种群与进化 · 定量生物学 2007-05-23 Claus O. Wilke

We consider a model of a population of fixed size $N$ undergoing selection. Each individual acquires beneficial mutations at rate $\mu_N$, and each beneficial mutation increases the individual's fitness by $s_N$. Each individual dies at…

概率论 · 数学 2015-07-03 Jason Schweinsberg

We study the evolution of large but finite asexual populations evolving in fitness landscapes in which all mutations are either neutral or strongly deleterious. We demonstrate that despite the absence of higher fitness genotypes, adaptation…

生物物理 · 物理学 2007-05-23 Claus O. Wilke

We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent. While the total population of the system always reaches a steady state, the…

adap-org · 物理学 2007-05-23 W. Hwang , P. L. Krapivsky , S. Redner

Adaptation often involves the acquisition of a large number of genomic changes which arise as mutations in single individuals. In asexual populations, combinations of mutations can fix only when they arise in the same lineage, but for…

种群与进化 · 定量生物学 2011-08-18 Richard A. Neher , Boris I. Shraiman , Daniel S. Fisher

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…

种群与进化 · 定量生物学 2010-03-31 Chaitanya S. Gokhale , Yoh Iwasa , Martin A. Nowak , Arne Traulsen

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 study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

统计力学 · 物理学 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

The prevalence of sexual reproduction ("sex") in eukaryotes is an enigma of evolutionary biology. Sex increases genetic variation only tells its long-term superiority in essence. The accumulation of harmful mutations causes an immediate and…

种群与进化 · 定量生物学 2013-08-01 Xiang-Ping Jia , Hong Sun

We consider an asexual population under strong selection-weak mutation conditions evolving on rugged fitness landscapes with many local fitness peaks. Unlike the previous studies in which the initial fitness of the population is assumed to…

种群与进化 · 定量生物学 2011-11-18 Kavita Jain , Sarada Seetharaman

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

种群与进化 · 定量生物学 2022-08-23 Brian Mintz , Feng Fu

We investigate the evolutionary dynamics of a finite population of sequences adapting to NK fitness landscapes. We find that, unlike in the case of an infinite population, the average fitness in a finite population is maximized at a small…

生物物理 · 物理学 2009-11-07 Paulo R. A. Campos , Christoph Adami , Claus O. Wilke

We consider the evolution of an asexually reproducing population in an uncorrelated random fitness landscape in the limit of infinite genome size, which implies that each mutation generates a new fitness value drawn from a probability…

种群与进化 · 定量生物学 2009-11-13 Su-Chan Park , Joachim Krug

When mutation rates are low, natural selection remains effective, and increasing the mutation rate can give rise to an increase in adaptation rate. When mutation rates are high to begin with, however, increasing the mutation rate may have a…

种群与进化 · 定量生物学 2012-11-06 Philip Gerrish , Alexandre Colato , Paul Sniegowski

We show how concepts from statistical physics, such as order parameter, thermodynamic limit, and quantum phase transition, translate into biological concepts in mutation-selection models for sequence evolution and can be used there. The…

统计力学 · 物理学 2007-05-23 Joachim Hermisson , Oliver Redner , Holger Wagner , Ellen Baake

In large populations, multiple beneficial mutations may be simultaneously spreading. In asexual populations, these mutations must either arise on the same background or compete against each other. In sexual populations, recombination can…

种群与进化 · 定量生物学 2013-12-19 D. B. Weissman , O. Hallatschek
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