Robustness and epistasis in mutation-selection models

Details Robustness and epistasis in mutation-selection models Robustness and epistasis in mutation-selection models

2009-01-06

arxiv.org/abs/0901.0663v1

Physical Biology 6 (2009) 036007 (with some revisions)

Biology

Quantitative Biology

Populations and Evolution

20 pages, 14 figures

Scientific paper

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 Schr\"odinger 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.

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