Mathematical Sciences

Lund University

  • Title: Genetic selection under recurrent mutation and finite population size
  • Short description:

    The simplest description of evolution in genetic terms is that mutations form new beneficial alleles (=gene variants) that enter a population and then increase in frequency until they have replaced the previous variants. However, if the population size is limited, random fluctuation will occur with respect to the frequency of the beneficial allele and it may be lost in spite of it being better than all other existing alleles. If the same, or equivalent, mutations are allowed to occur then the beneficial allele will eventually reach fixation (reach the frequency 100%). This project will investigate the distribution of times to fixation in this scenario. The underlying mathematics is based on diffusion processes.

  • Long description:

    None

  • Contact: Pelle Pettersson