Dynamics of Competitive Evolution on a Smooth Landscape
Statistical Mechanics
2009-11-07 v2 Biological Physics
Populations and Evolution
Abstract
We study competitive DNA sequence evolution directed by {\it in vitro} protein binding. The steady-state dynamics of this process is well described by a shape-preserving pulse which decelerates and eventually reaches equilibrium. We explain this dynamical behavior within a continuum mean-field framework. Analytical results obtained on the motion of the pulse agree with simulations. Furthermore, finite population correction to the mean-field results are found to be insignificant.
Keywords
Cite
@article{arxiv.cond-mat/0204117,
title = {Dynamics of Competitive Evolution on a Smooth Landscape},
author = {Weiqun Peng and Ulrich Gerland and Terence Hwa and Herbert Levine},
journal= {arXiv preprint arXiv:cond-mat/0204117},
year = {2009}
}
Comments
4 pages, 2 figures, revised, to appear in Phys. Rev. Lett