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Diffusion Of A Population Of Interacting Replicators In Sequence Space

Author

Listed:
  • BÄRBEL M. R. STADLER

    (Max Planck Institute for Mathematics in the Sciences, Inselstraße 22-26, D-04103 Leipzig, Germany;
    Institut für Theoretische Chemie und Strukturbiologie, Universität Wien, Währingerstraße 17, A-1090 Wien, Austria)

Abstract

We consider a simple model for catalyzed replication. Computer simulations show that a finite population moves in sequence space by diffusion analogous to the behavior of a quasispecies on a flat fitness landscape. The diffusion constant depends linearly on the per position mutation rate and the ratio of sequence length and population size.

Suggested Citation

  • Bärbel M. R. Stadler, 2002. "Diffusion Of A Population Of Interacting Replicators In Sequence Space," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 5(04), pages 457-461.
    • Handle: RePEc:wsi:acsxxx:v:05:y:2002:i:04:n:s0219525902000675
    DOI: 10.1142/S0219525902000675
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