Analysis of evolution through competitive selection

Details Analysis of evolution through competitive selection Analysis of evolution through competitive selection

2004-08-30

arxiv.org/abs/q-bio/0408027v1

Biology

Quantitative Biology

Populations and Evolution

12 pages, 10 figures

Scientific paper

10.1103/PhysRevLett.95.168701

Recent studies of in vitro evolution of DNA via protein binding indicate that the evolution behavior is qualitatively different in different parameter regimes. I here present a general theory that is valid for a wide range of parameters, and which reproduces and extends previous results. Specifically, the mean-field theory of a general translation-invariant model can be reduced to the basic diffusion equation with a dynamic boundary condition. The simple analytical form yields both quantitatively accurate predictions and valuable insight into the principles involved. In particular, I introduce a cutoff criterion for finite populations that illustrates both of these qualities.

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