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Selective advantage of topological disorder in biological evolution

  • M. Kolář
  • F. Slanina

Abstract:

We examine a model of biological evolution of Eigen's quasispecies in a so-called holey fitness landscape, where the fitness of a site is either 0 (lethal site) or a uniform positive constant (viable site). The evolution dynamics is therefore determined by the topology of the genome space which is modelled by the random Bethe lattice. We use the effective medium and single-defect approximations to find the criteria under which the localized quasispecies cloud is created. We find that shorter genomes, which are more robust to random mutations than average, represent a selective advantage which we call “topological”. A way of assessing empirically the relative importance of reproductive success and topological advantage is suggested.

PACS. 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion – 87.23.Kg Dynamics of evolution – 72.15.Rn Localization effects (Anderson or weak localization) 

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Copyright information

© EDP Sciences, Springer-Verlag 2003

Authors and Affiliations

  • M. Kolář
    • 1
  • F. Slanina
    • 1
  1. 1.Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 18221 Praha, Czech RepublicCZ

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