Evolution models with base substitutions, insertions, deletions and selection
arXiv:0908.1617 · doi:10.1103/PhysRevE.78.061920
Abstract
The evolution model with parallel mutation-selection scheme is solved for the case when selection is accompanied by base substitutions, insertions, and deletions. The fitness is assumed to be either a single-peak function (i.e., having one finite discontinuity) or a smooth function of the Hamming distance from the reference sequence. The mean fitness is exactly calculated in large-genome limit. In the case of insertions and deletions the evolution characteristics depend on the choice of reference sequence.
6 pages, 2 figures