English

Finite genome length corrections for the mean fitness and gene probabilities in evolution models

Populations and Evolution 2015-06-12 v1 Statistical Mechanics

Abstract

Using the Hamilton-Jacobi equation approach to study genomes of length LL, we obtain 1/L corrections for the steady state population distributions and mean fitness functions for horizontal gene transfer model, as well as for the diploid evolution model with general fitness landscapes. Our numerical solutions confirm the obtained analytic equations. Our method could be applied to the general case of nonlinear Markov models.

Keywords

Cite

@article{arxiv.1212.1262,
  title  = {Finite genome length corrections for the mean fitness and gene probabilities in evolution models},
  author = {Zara Kirakosyan and David B. Saakian and Chin Kun Hu},
  journal= {arXiv preprint arXiv:1212.1262},
  year   = {2015}
}

Comments

8 pages