ERROR THRESHOLD IN FINITE POPULATIONS

Citation
D. Alves et Jf. Fontanari, ERROR THRESHOLD IN FINITE POPULATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 7008-7013
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
57
Issue
6
Year of publication
1998
Pages
7008 - 7013
Database
ISI
SICI code
1063-651X(1998)57:6<7008:ETIFP>2.0.ZU;2-N
Abstract
A simple analytical framework to study the molecular quasispecies evol ution of finite populations is proposed, in which the population is as sumed to be a random combination of the constituent molecules in each generation; i.e., linkage disequilibrium at the population level is ne glected. In particular, for the single-sharp-peak replication landscap e we investigate the dependence of the error threshold on the populati on size and find that the replication accuracy at the threshold increa ses Linearly with the reciprocal of the population size for sufficient ly large populations. Furthermore, in the deterministic limit our form ulation yields the exact steady state of the quasispecies model, indic ating then that the population composition is a random combination of the molecules.