Journal of Statistical Physics

, Volume 92, Issue 5, pp 1017–1052

Ising Quantum Chain and Sequence Evolution

  • Holger Wagner
  • Ellen Baake
  • Thomas Gerisch
Article

DOI: 10.1023/A:1023048711599

Cite this article as:
Wagner, H., Baake, E. & Gerisch, T. Journal of Statistical Physics (1998) 92: 1017. doi:10.1023/A:1023048711599

Abstract

A sequence space model which describes the interplay of mutation and selection in molecular evolution is shown to be equivalent to an Ising quantum chain. Observable quantities tailored to match the biological situation are then employed to treat three fitness landscapes exactly.

Biological evolutionsequence spacemutation and selectionIsing quantum chainmean-field modelphase transition

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Holger Wagner
    • 1
  • Ellen Baake
    • 2
  • Thomas Gerisch
    • 1
  1. 1.Institut für Theoretische PhysikUniversität TübingenTübingenGermany
  2. 2.Zoologisches InstitutUniversität MünchenMünchenGermany