TY - JOUR

T1 - Equilibrium distribution of mutators in the single fitness peak model

AU - Tannenbaum, Emmanuel

AU - Deeds, Eric J.

AU - Shakhnovich, Eugene I.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - 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 [Formula presented], where [Formula presented] denotes the length of the genome controlling viability, while [Formula presented] 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.

AB - 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 [Formula presented], where [Formula presented] denotes the length of the genome controlling viability, while [Formula presented] 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.

UR - http://www.scopus.com/inward/record.url?scp=0642285844&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.91.138105

DO - 10.1103/PhysRevLett.91.138105

M3 - Article

C2 - 14525341

AN - SCOPUS:0642285844

SN - 0031-9007

VL - 91

JO - Physical Review Letters

JF - Physical Review Letters

IS - 13

ER -