caa a22 4500 467891192 CHVBK 20180406152749.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10955-006-9149-0 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9149-0 Epstein Charles Department of Mathematics and Laboratory for Structural NMR Imaging, University of Pennsylvania, Philadelphia, Pennsylvania, USA aut Anderson Localization, Non-linearity and Stable Genetic Diversity [Elektronische Daten] [Charles Epstein] In many models of genotypic evolution, the vector of genotype populations satisfies a system of linear ordinary differential equations. This system of equations models a competition between differential replication rates (fitness) and mutation. Mutation operates as a generalized diffusion process on genotype space. In the large time asymptotics, the replication term tends to produce a single dominant quasi-species, unless the mutation rate is too high, in which case the asymptotic population becomes de-localized. We introduce a more macroscopic picture of genotypic evolution wherein a random fitness term in the linear model produces features analogous to Anderson localization. When coupled with density dependent non-linearities, which limit the population of any given genotype, we obtain a model whose large time asymptotics display stable genotypic diversity. Springer Science + Business Media, Inc., 2006 quasi-species nationallicence spin glass models nationallicence non-linearity nationallicence Anderson localization nationallicence genotypic diversity nationallicence paramuse model nationallicence Eigen model nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/1(2006-07-01), 25-46 0022-4715 124:1<25 2006 124 10955 https://doi.org/10.1007/s10955-006-9149-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9149-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Epstein Charles Department of Mathematics and Laboratory for Structural NMR Imaging, University of Pennsylvania, Philadelphia, Pennsylvania, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/1(2006-07-01), 25-46 0022-4715 124:1<25 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer