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A quasispecies evolving on a fitness landscape with a single peak of fluctuating height is studied. In the approximation that back mutations can be ignored, the rate equations can be solved analytically. It is shown that the error threshold…

生物物理 · 物理学 2007-05-23 Martin Nilsson , Nigel Snoad

In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix. The resulting dynamics, although studied by many authors, is…

种群与进化 · 定量生物学 2015-06-11 Daniel S. Fisher

We consider a fixed size population that undergoes an evolutionary adaptation in the weak mutuation rate limit, which we model as a biased Langevin process in the genotype space. We show analytically and numerically that, if the fitness…

种群与进化 · 定量生物学 2014-02-04 Jakub Otwinowski , Sorin Tanase-Nicola , Ilya Nemenman

The concept of fitness as a measure for a species's success in natural selection is central to the theory of evolution. We here investigate how reproduction rates which are not constant but vary in response to environmental fluctuations,…

种群与进化 · 定量生物学 2015-10-21 Anna Melbinger , Massimo Vergassola

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

A common view in evolutionary biology is that mutation rates are minimised. However, studies in combinatorial optimisation and search have shown a clear advantage of using variable mutation rates as a control parameter to optimise the…

种群与进化 · 定量生物学 2019-08-27 Roman V. Belavkin , Alastair Channon , Elizabeth Aston , John Aston , Rok Krasovec , Christopher G. Knight

This is an introductory review of deterministic mutation-selection models for asexual populations (i.e., quasispecies theory) and related topics. First, the basic concepts of fitness, mutations, and sequence space are introduced. Different…

种群与进化 · 定量生物学 2007-07-26 Kavita Jain , Joachim Krug

One essential ingredient of evolutionary theory is the concept of fitness as a measure for a species' success in its living conditions. Here, we quantify the effect of environmental fluctuations onto fitness by analytical calculations on a…

种群与进化 · 定量生物学 2015-05-19 Anna Melbinger , Massimo Vergassola

This Letter studies the quasispecies dynamics of a population capable of genetic repair evolving on a time-dependent fitness landscape. We develop a model that considers an asexual population of single-stranded, conservatively replicating…

种群与进化 · 定量生物学 2009-11-13 Pavel Gorodetsky , Emmanuel Tannenbaum

We derive an expression for the variation between parallel trajectories in phenotypic evolution, extending the well known result that predicts the mean evolutionary path in adaptive dynamics or quantitative genetics. We show how this…

种群与进化 · 定量生物学 2010-04-27 Carl Boettiger , Jonathan Dushoff , Joshua S. Weitz

Adaptation of asexual populations is driven by beneficial mutations and therefore the dynamics of this process, besides other factors, depend on the distribution of beneficial fitness effects. It is known that on uncorrelated fitness…

种群与进化 · 定量生物学 2016-08-05 Sona John , Sarada Seetharaman

For asexual organisms point mutations correspond to local displacements in the genotypic space, while other genotypic rearrangements represent long-range jumps. We investigate the spreading properties of an initially homogeneous population…

统计力学 · 物理学 2007-05-23 Franco Bagnoli , Michele Bezzi

In this review some simple models of asexual populations evolving on smooth landscapes are studied. The basic model is based on a cellular automaton, which is analyzed here in the spatial mean-field limit. Firstly, the evolution on a fixed…

统计力学 · 物理学 2016-11-23 Franco Bagnoli , Michele Bezzi

We study self-replicating molecules under externally varying conditions. Changing conditions such as temperature variations and/or alterations in the environment's resource composition lead to both non-constant replication and decay rates…

生物物理 · 物理学 2016-09-08 Claus O. Wilke , Christopher Ronnewinkel , Thomas Martinetz

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

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 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

Phenotypic evolution implies sequential fixations of new genomic sequences. The speed at which these mutations fixate depends, in part, on the relative fitness (selection coefficient) of the mutant vs. the ancestor. Using a simple…

种群与进化 · 定量生物学 2014-02-04 Sorin Tanase-Nicola , Ilya Nemenman

We consider the evolution of large but finite populations on arbitrary fitness landscapes. We describe the evolutionary process by a Markov, Moran process. We show that to $\mathcal O(1/N)$, the time-averaged fitness is lower for the finite…

种群与进化 · 定量生物学 2015-06-04 Dirk M. Lorenz , Jeong-Man Park , Michael W. Deem

In evolution theory the concept of a fitness landscape has played an important role, evolution itself being portrayed as a hill-climbing process on a rugged landscape. In this article it is shown that in general, in the presence of other…

适应与自组织系统 · 物理学 2016-11-17 C. R. Stephens
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