title: Analysis of evolution through competitive selection.
abstract: 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.
authors.affiliation: Department of Physics, Princeton University, New Jersey 08544, USA.
authors.forename: Morten
authors.initials: M
authors.lastname: Kloster
mesh_terms: D005075:Biological Evolution; D055592:Biophysical Phenomena; D001703:Biophysics; D004247:DNA / Q000235:genetics*; D017753:Ecosystem; D004777:Environment; D019143:Evolution, Molecular; D008433:Mathematics; D008957:Models, Genetic; D015233:Models, Statistical; D008962:Models, Theoretical; D016011:Normal Distribution; D010641:Phenotype; D011157:Population Dynamics; D011485:Protein Binding; D011995:Recombination, Genetic; D013997:Time Factors
chemical_list: D004247:DNA