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Dynamics of Competitive Evolution on a Smooth Landscape

Weiqun Peng·Ulrich Gerland·Terence Hwa·Herbert Levine
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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.

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Weiqun Peng, Ulrich Gerland, Terence Hwa, Herbert Levine. 2003-01-17. Dynamics of Competitive Evolution on a Smooth Landscape. https://doi.org/10.1103/physrevlett.90.088103

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