Dynamics of fixation of advantageous mutations

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 ωmed=1/β. The model also considers that the effect of each new deleterious mutation reduces the fitness of the organism independent on the previous number of mutations. We use the branching process formulation and also extensive simulations to study the model. The agreement between the analytical predictions and the simulational data is quite satisfactory. Surprisingly, we observe that the dependence of the probability of fixation Pfix on the parameter ωmed is precisely described by a power-law relation, Pfix∼ωmedγ. The exponent γ is an increasing function of the rate of deleterious mutations U, whereas the probability Pfix is a decreasing function of U. The mean value ωfix of the beneficial mutations which reach ultimate fixation depends on U and ωmed. The ratio ωfix/ωmed increases as we consider higher values of mutation value U in the region of intermediate to large values of ωmed, whereas for low ωmed we observe the opposite behavior.

• Publication year

  2003

• Venue

  Physica A-statistical Mechanics and Its Applications

• Publication date

  2003-10-08

• Fields of study

  Biology, Mathematics

• Identifiers
  DOI 10.1016/j.physa.2004.02.007arXiv q-bio/0310006
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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  2004influential reference
• The distribution of fitness effects among beneficial mutations.

  2003cited by this paper
• Modelling Stochastic Clonal Interference

  2003cited by this paper
• Fitness evolution and the rise of mutator alleles in experimental Escherichia coli populations.

  2002cited by this paper
• Fitness effects of fixed beneficial mutations in microbial populations.

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• Probability of fixation of an advantageous mutant in a viral quasispecies.

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• Molecular basis of adaptive convergence in experimental populations of RNA viruses.

  2002cited by this paper
• The effect of deleterious alleles on adaptation in asexual populations.

  2002cited by this paper
• Soluble model for the accumulation of mutations in asexual populations.

  2001cited by this paper
• The rhythm of microbial adaptation

  2001cited by this paper
• The rate of adaptation in asexuals.

  2000cited by this paper
• Clonal interference and the evolution of RNA viruses.

  1999cited by this paper
• Diminishing returns from mutation supply rate in asexual populations.

  1999cited by this paper
• On the structure of genealogical trees in the presence of selection

  1999cited by this paper
• Linkage and the limits to natural selection.

  1995influential reference
• A ruby in the rubbish: beneficial mutations, deleterious mutations and the evolution of sex.

  1994cited by this paper
• The causes of molecular evolution

  1991cited by this paper
• On the dominance ratio

  1990influential reference
• On the number of segregating sites in genetical models without recombination.

  1975cited by this paper
• The effect of linkage on limits to artificial selection.

  1966cited by this paper
• THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATION.

  1964cited by this paper
• The Theory of Branching Processes.

  1963influential reference
• The Genetical Theory of Natural Selection

  1930influential reference
• A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation

  1927cited by this paper
• A mathematical theory of natural and artificial selection

  1926influential reference

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  2023cites this paper
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  2022cites this paper
• The average abundance function with mutation of the multi-player snowdrift evolutionary game model

  2020cites this paper
• DyPy: A Python Library for Simulating Matrix-Form Games.

  2020cites this paper
• Fixation probability of a beneficial mutation conferring decreased generation time in changing environments

  2018cites this paper
• Landscape structure and the speed of adaptation

  2014cites this paper
• Population turnover and adaptation in heterogeneous environments

  2012cites this paper
• Adaptation of asexual populations in correlated environments

  2010cites this paper
• THE ADAPTATION RATE OF ASEXUALS: DELETERIOUS MUTATIONS, CLONAL INTERFERENCE AND POPULATION BOTTLENECKS

  2010cites this paper
• Rate of fixation of beneficial mutations in sexual populations.

  2009cites this paper
• The Effects of Population Bottlenecks on Clonal Interference, and the Adaptation Effective Population Size

  2009cites this paper
• Environmental Heterogeneity Enhances Clonal Interference

  2008cites this paper
• The fixation probability of beneficial mutations

  2008cites this paper
• Speed of adaptation in structured populations

  2007cites this paper
• Probability of fixation under weak selection: a branching process unifying approach.

  2006cites this paper
• Fixation of advantageous mutations in an off-equilibrium population

  2006cites this paper
• The effect of spatial structure in adaptive evolution

  2006cites this paper
• Adaptive evolution in a spatially structured asexual population

  2006influential citation
• Scaling, genetic drift, and clonal interference in the extinction pattern of asexual population.

  2005cites this paper
• Topological effects of fitness landscapes on the process of fixation of advantageous mutations

  2005cites this paper
• MUTATIONAL EFFECTS ON THE CLONAL INTERFERENCE PHENOMENON

  2004cites this paper