Peder A. Tyvand: Diffusion solution for haploid genetic drift with one-way mutation

The classical Kimura solution of the diffusion equation for haploid random mating is complemented by including one-way mutation. The initial-value problem of a specified founder population is solved analytically. The validity of the transient diffusion solution is checked by Markov chain computations of the exact stochastic process. The one-way diffusion model may fail for small mutation rates. This is because its singular fixation at only one boundary creates an artificial discontinuity in the limit of zero mutation.