Robustness and epistasis in mutation-selection models
arXiv:0901.0663 · doi:10.1088/1478-3975/6/3/036007
Abstract
We investigate the fitness advantage associated with the robustness of a phenotype against deleterious mutations using deterministic mutation-selection models of quasispecies type equipped with a mesa shaped fitness landscape. We obtain analytic results for the robustness effect which become exact in the limit of infinite sequence length. Thereby, we are able to clarify a seeming contradiction between recent rigorous work and an earlier heuristic treatment based on a mapping to a Schrödinger equation. We exploit the quantum mechanical analogy to calculate a correction term for finite sequence lengths and verify our analytic results by numerical studies. In addition, we investigate the occurrence of an error threshold for a general class of epistatic landscape and show that diminishing epistasis is a necessary but not sufficient condition for error threshold behavior.
20 pages, 14 figures
References in corpus (8)
- Mutation, selection, and ancestry in branching models: a variational approach
- Evolution Equation of Phenotype Distribution: General Formulation and Application to Error Catastrophe
- Quasispecies evolution in general mean-field landscapes
- Solution of the Quasispecies Model for an Arbitrary Gene Network
- Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory
- An asymptotic maximum principle for essentially linear evolution models
- A maximum principle for the mutation-selection equilibrium of nucleotide sequences
- Maximum principle and mutation thresholds for four-letter sequence evolution
Cited by in corpus (5)
- From genotypes to organisms: State-of-the-art and perspectives of a cornerstone in evolutionary dynamics
- Recombination and mutational robustness in neutral fitness landscapes
- Entropic contribution to phenotype fitness
- Stochastic delocalization of finite populations
- On Eigen's quasispecies model, two-valued fitness landscapes, and isometry groups acting on finite metric spaces