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Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

种群与进化 · 定量生物学 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich

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

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 a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

种群与进化 · 定量生物学 2025-05-28 Manuel Esser , Anna Kraut

We consider a model of asexually reproducing individuals with random mutations and selection. The rate of mutations is proportional to the population size, $N$. The mutations may be either beneficial or deleterious. In a paper by Yu,…

概率论 · 数学 2015-08-20 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

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

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

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

Mutation rate is a key determinant of the pace as well as outcome of evolution, and variability in this rate has been shown in different scenarios to play a key role in evolutionary adaptation and resistance evolution under stress caused by…

种群与进化 · 定量生物学 2019-03-01 Dalit Engelhardt , Eugene I. Shakhnovich

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

统计力学 · 物理学 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

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 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

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

We propose a stochastic model for evolution. Births and deaths of species occur with constant probabilities. Each new species is associated with a fitness sampled from the uniform distribution on [0,1]. Every time there is a death event…

概率论 · 数学 2010-11-09 Herve Guiol , Fabio P. Machado , Rinaldo B. Schinazi

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

Molecular phenotypes link genomic information with organismic functions, fitness, and evolution. Quantitative traits are complex phenotypes that depend on multiple genomic loci. In this paper, we study the adaptive evolution of a…

种群与进化 · 定量生物学 2015-06-19 Torsten Held , Armita Nourmohammad , Michael Lässig

Recent microbial experiments suggest that enhanced genetic drift at the frontier of a two-dimensional range expansion can cause genetic sectoring patterns with fractal domain boundaries. Here, we propose and analyze a simple model of…

种群与进化 · 定量生物学 2008-12-12 Oskar Hallatschek , David R. Nelson

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

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
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