We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
RANDOM MATRICES AND LOCALIZATION IN THE QUASISPECIES THEORY.
- Authors
Waclaw, B.
- Abstract
The quasispecies model of biological evolution for asexual organisms such as bacteria and viruses has attracted considerable attention of biological physicists. Many variants of the model have been proposed and subsequently solved using the methods of statistical physics. In this paper I will put forward important but yet overlooked relations between localization theory, random matrices, and the quasispecies model. These relations will help me to study the dynamics of this model. In particular, I will show that the distribution of times between evolutionary jumps in the genotype space follows a power law, in agreement with recent findings in the shell model -- a simplified version of the quasispecies model.
- Subjects
RANDOM matrices; LOCALIZATION theory; MATHEMATICAL models; DISTRIBUTION (Probability theory); STATISTICAL physics; BIOPHYSICISTS; BIOLOGICAL evolution
- Publication
Acta Physica Polonica B, 2011, Vol 42, Issue 5, p1141
- ISSN
0587-4254
- Publication type
Article
- DOI
10.5506/APhysPolB.42.1141