Punctuated evolution for the quasispecies model
摘要
Biological evolution in a sequence space with random fitnesses is studied within Eigen's quasispecies model. A strong selection limit is employed, in which the population resides at a single sequence at all times. Evolutionary trajectories start at a randomly chosen sequence and proceed to the global fitness maximum through a small number of intermittent jumps. The distribution of the total evolution time displays a universal power law tail with exponent -2. Simulations show that the evolutionary dynamics is very well represented by a simplified shell model, in which the sub-populations at local fitness maxima grow independently. The shell model allows for highly efficient simulations, and provides a simple geometric picture of the evolutionary trajectories.
引用
@article{arxiv.cond-mat/0202054,
title = {Punctuated evolution for the quasispecies model},
author = {Joachim Krug and Christian Karl},
journal= {arXiv preprint arXiv:cond-mat/0202054},
year = {2009}
}