Dynamics of Competitive Evolution on a Smooth Landscape

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  • 4 April 2002
Abstract
We study competitive evolution in the context of in vitro DNA sequence evolution via 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 well with numerical simulations. Furthermore, finite population correction to the mean-field results are found to be insignificant. For long sequences, the evolution dynamics may stall at a point far from optimal if selection is not sufficiently strong.

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