Dynamics of Competitive Evolution on a Smooth Landscape

Details Dynamics of Competitive Evolution on a Smooth Landscape Dynamics of Competitive Evolution on a Smooth Landscape

2002-04-04

arxiv.org/abs/cond-mat/0204117v2

Phys. Rev. Lett. 90, 088103 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, revised, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.90.088103

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.

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