Exact phase diagram of quasispecies model with mutation rate modifier

Details Exact phase diagram of quasispecies model with mutation rate modifier Exact phase diagram of quasispecies model with mutation rate modifier

2008-08-05

arxiv.org/abs/0808.0630v2

Phys. Rev. Lett. 102, 038101 (2009)

Biology

Quantitative Biology

Populations and Evolution

Revised version

Scientific paper

10.1103/PhysRevLett.102.038101

We consider an infinite asexual population with a mutator allele which can elevate mutation rates. With probability $f$, a transition from nonmutator to mutator state occurs but the reverse transition is forbidden. We find that at $f=0$, the population is in the state with minimum mutation rate and at $f=f_c$, a phase transition occurs between a mixed phase with both nonmutators and mutators and a pure mutator phase. We calculate the critical probability $f_c$ and the total mutator fraction $Q$ in the mixed phase exactly. Our predictions for $Q$ are in agreement with those seen in microbial populations in static environments.

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