Evolutionary theory for modifiers of epistasis using a general symmetric model

Liberman, Uri; Feldman, Marcus W.

doi:10.1073/pnas.0608569103

Cited by 14 publications

(13 citation statements)

References 23 publications

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“…Likewise, most studies of the evolution of canalization have sought to identify the circumstances in which canalization is favoured and view decanalization as a relatively minor phenomenon (Wagner et al 1997;Rice 1998;de Visser et al 2003;Hansen 2006;Hansen et al 2006;Liberman & Feldman 2006). We agree that robustness, both environmental and genetic, is an adaptive feature of many organisms.…”

Section: Discussionmentioning

confidence: 87%

Quasi-species evolution in subdivided populations favours maximally deleterious mutations

2007

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Most models of quasi-species evolution predict that populations will evolve to occupy areas of sequence space with the greatest concentration of neutral sequences, thus minimizing the deleterious mutation rate and creating mutationally 'robust' genomes. In contrast, empirical studies of the principal model of quasispecies evolution, RNA viruses, suggest that the effects of deleterious mutations are more severe than in similar DNA-based microbes. We demonstrate that populations divided into discrete patches connected by dispersal may favour genotypes where the deleterious effect of non-neutral mutations is maximized. This effect is especially strong in the absence of back mutation and when the amount of time spent in hosts prior to dispersal is intermediate. Our results indicate that RNA viruses that produce acute infections initiated by a small number of virions are expected to evolve fragile genetic architectures when compared with other RNA viruses.

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Section: Discussionmentioning

confidence: 87%

Quasi-species evolution in subdivided populations favours maximally deleterious mutations

2007

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“…These haploid results would appear to confirm and extend our earlier findings for diploid populations, namely that an increased level of interaction between genes is likely to be favored by evolution. In the diploid case (Liberman and Feldman 2006) we saw that this was not necessarily a consequence of an increase in the mean fitness with increasing epistasis. It remains to be seen whether the same is true in the haploid model.…”

Section: Discussionmentioning

confidence: 86%

“…It remains to be seen whether the same is true in the haploid model. It would also be interesting if, as was seen in Liberman and Feldman (2006), the way in which the equilibrium mean fitness changed with epistasis depended on the recombination rates. Table 1 Possible equilibria when r = 0 …”

Section: Discussionmentioning

confidence: 99%

On the evolution of epistasis III: The haploid case with mutation

Liberman

Feldman

2008

Theoretical Population Biology

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Whether interaction between genes is better represented by synergistic or antagonistic epistasis has been a focus of experimental research in bacterial population genetics. Our previous research on evolution of modifiers of epistasis in diploid systems has indicated that the strength of positive or negative epistasis should increase provided linkage disequilibrium is maintained. Here we study a modifier of epistasis in fitness between two loci in a haploid system. Epistasis is modified in the neighborhood of a mutation selection balance. We show that when linkage in the three-locus system is tight, an increase in the frequency of a modifier allele that induces either more negative or more positive epistasis is possible. Epistasis here can be measured on either an additive or multiplicative scale.

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“…Some studies based on simulated gene networks have suggested that selection for evolvability will in general favor increased modularity and decreased epistasis for fitness between different loci (Pepper 2003, Altenberg 2004). Using a modifier model, Liberman and Feldman (2006) showed that this result does not follow when loci are sufficiently closely linked. This outcome is not surprising when we note that recombination, which is an explicit part of Liberman and Feldman's model, is another process that reduces evolvability, here by actually destroying potentially adaptive variants.…”

Section: General Results From Theoretical Studiesmentioning

confidence: 99%

Theoretical Approaches to the Evolution of Development and Genetic Architecture

Rice

2008

Annals of the New York Academy of Sciences

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Developmental evolutionary biology has, in the past decade, started to move beyond simply adapting traditional population and quantitative genetics models and has begun to develop mathematical approaches that are designed specifically to study the evolution of complex, nonadditive systems. This article first reviews some of these methods, discussing their strengths and shortcomings. The article then considers some of the principal questions to which these theoretical methods have been applied, including the evolution of canalization, modularity, and developmental associations between traits. I briefly discuss the kinds of data that could be used to test and apply the theories, as well as some consequences for other approaches to phenotypic evolution of discoveries from theoretical studies of developmental evolution.

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Evolutionary theory for modifiers of epistasis using a general symmetric model

Cited by 14 publications

References 23 publications

Quasi-species evolution in subdivided populations favours maximally deleterious mutations

Quasi-species evolution in subdivided populations favours maximally deleterious mutations

On the evolution of epistasis III: The haploid case with mutation

Theoretical Approaches to the Evolution of Development and Genetic Architecture

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