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Equilibrium Distribution of Mutators in the Single Fitness Peak Model
Tannenbaum, Emmanuel Deeds, Eric J. Shakhnovich, Eugene I.
Tannenbaum, Emmanuel
Deeds, Eric J.
Shakhnovich, Eugene I.
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Abstract
This Letter develops an analytically tractable model for determining the equilibrium distribution of mismatch repair deficient strains in unicellular populations. The approach is based on the single fitness peak model, which has been used in Eigen’s quasispecies equations in order to understand various aspects of evolutionary dynamics. As with the quasispecies model, our model for mutator-nonmutator equilibrium undergoes a phase transition in the limit of infinite sequence length. This “repair catastrophe” occurs at a critical repair error probability of ϵr=Lvia/L, where Lvia denotes the length of the genome controlling viability, while L denotes the overall length of the genome. The repair catastrophe therefore occurs when the repair error probability exceeds the fraction of deleterious mutations. Our model also gives a quantitative estimate for the equilibrium fraction of mutators in Escherichia coli.
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This is the publisher's version, also available electronically from http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.91.138105.
Date
2003-09-26
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American Physical Society
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Tannenbaum, Emmanuel; Deeds, Eric J.; Shakhnovich, Eugene I. (2003). "Equilibrium Distribution of Mutators in the Single Fitness Peak Model." Phys Rev Lett, 91(13):138105. http://dx.doi.org/10.1103/PhysRevLett.91.138105.