title: Recombination in one- and two-dimensional fitness landscapes.
abstract: We consider many-site mutation-recombination models of molecular evolution, where fitness is a function of a Hamming distance from one (one-dimensional case) or two (two-dimensional case) sequences. For the one-dimensional case, we calculate the population distribution dynamics for a model with zero fitness and an arbitrary symmetric initial distribution and find an error threshold transition point in the single-peak fitness model for a given initial symmetric distribution. We calculate the recombination period in the case of a single-peak fitness function, when the original population is located at one sequence, at some Hamming distance from the peak configuration. Steady-state fitness is calculated with finite genome length corrections. We derive analytical equations for the two-dimensional mutation-recombination model.
authors.affiliation: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig 04103, Germany.
authors.forename: Zh
authors.initials: Zh
authors.lastname: Avetisyan
authors.forename: David B
authors.initials: DB
authors.lastname: Saakian
mesh_terms: D000465:Algorithms; D000483:Alleles; D000818:Animals; D001703:Biophysics / Q000379:methods; D004843:Epistasis, Genetic; D019143:Evolution, Molecular; D016678:Genome; D006801:Humans; D008957:Models, Genetic; D015233:Models, Statistical; D009154:Mutation; D011336:Probability; D011995:Recombination, Genetic