3 papers
q-bio.PE2023
Survival of the flattest in the quasispecies model
Maxime Berger, Raphaël Cerf
Viruses present an amazing genetic variability. An ensemble of infecting viruses, also called a viral quasispecies, is a cloud of mutants centered around a specific genotype. The s…
math.PR2019
Expansion of an error threshold for a finite population in the Moran model
Maxime Berger
We propose a new definition for the error threshold of a population evolving through mutation and selection. We compute the correction term due to the finiteness of the population…
math.PR2018
A basic model of mutations
Raphaël Cerf, Maxime Berger
We study a basic model for mutations. We derive exact formulae for the mean time needed to discover the master sequence, the mean returning time to the initial state, or to any Ham…