Dynamics of Competitive Evolution on a Smooth Landscape
arXiv:cond-mat/0204117 · doi:10.1103/PhysRevLett.90.088103
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.
4 pages, 2 figures, revised, to appear in Phys. Rev. Lett
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