Role of Catalysis on the Evolution of Error-Prone Self-Replicative Molecules

  • F. Montero
  • J. C. Nuño
Part of the NATO ASI Series book series (NSSB, volume 304)

Abstract

Nucleic acids are biological molecules that have intrinsic template activity by themselves, without the aid of any other molecular species. The behavior of populations of this kind of molecules is the main subject of a paper published by Eigen in the early seventies1. At that time, some experiments were carried out in order to find out what the dynamics of these systems was like2. Just at the beginning, the mathematical model agrees with biological experiments in relation to the general behavior of these systems. This fact caused Eigen’s model to be seriously taken into account and deeply analyzed.

Keywords

Catalysis Assure 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. Eigen, Naturwissenchaften 58, 465 (1971).CrossRefGoogle Scholar
  2. 2.
    S. Spiegelman, Quart Rev. Biophys. 4, 213 (1971).CrossRefGoogle Scholar
  3. 3.
    L.E. Orgel, J.Mol.Biol. 38, 381, (1968).PubMedCrossRefGoogle Scholar
  4. 4.
    F.H.C Crick, J.Mol.Biol. 38, 367 (1968).PubMedCrossRefGoogle Scholar
  5. 5.
    T.R. Cech, A.J. Zaug and P.J. Grobowski, Cell 27, 487 (1981).PubMedCrossRefGoogle Scholar
  6. 6.
    J.A. Doudna and J.W. Stostak, Nature 339, 519 (1989).PubMedCrossRefGoogle Scholar
  7. 7.
    P.F. Stadler and P. Schuster, J. Math. Biol. 30, 597 (1992).PubMedCrossRefGoogle Scholar
  8. 8.
    B.O. Küppers, ‘Molecular Theory of Evolution’. Springer Verlag, Berlin (1983).CrossRefGoogle Scholar
  9. 9.
    M. Eigen, J. McCaskill and P. Schuster, J. Phys. Chem. 92, 6881 (1988).CrossRefGoogle Scholar
  10. 10.
    M. Eigen, J. McCaskill and P. Schuster, Adv. Chem. Phys. 75, 149 (1989).CrossRefGoogle Scholar
  11. 11.
    P. Tarazona, Phys.Rev A 45, 6038 (1992).PubMedCrossRefGoogle Scholar
  12. 12.
    P. Tarazona, Contribution to this volume.Google Scholar
  13. 13.
    P. Schuster, in ‘Molecular Evolution on Rugged landscapes: Proteins, RNA and The Inmune System’, Ed. A.S. Perelson and S.A. Kauffman, 47 (1991).Google Scholar
  14. 14.
    M. Eigen and P. Schuster, ‘The hypercycle-A principle of natural self-organization’, Springer Verlag, Berlin (1979).Google Scholar
  15. 15.
    J. Hofbauer and K. Sigmund, ‘The Theory of Evolution and Dynamical Systems’. Cambridge University Press, Cambridge (1988).Google Scholar
  16. 16.
    P. Schuster, in ‘Molecular Evolution on Rugged landscapes: Proteins, RNA and The Inmune System’, Ed. A.S. Perelson and S.A. Kauffman, 281 (1991).Google Scholar
  17. 17.
    A. García-Tejedor, R. Castaño, F. Morán and F. Montero, J.Mol.Evol. 26, 294 (1987).PubMedCrossRefGoogle Scholar
  18. 18.
    A. García-Tejedor, F. Morán and F. Montero, J.Theor.Biol. 127, 393 (1987).CrossRefGoogle Scholar
  19. 19.
    A. García-Tejedor, J.C. Sanz-Nuñ;o, J. Olarrea, F.J. de la Rubia and F. Montero, J.Theor.Biol. 134, 431 (1988).PubMedCrossRefGoogle Scholar
  20. 20.
    M. Andrade, A. Garcia-Tejedor and F. Montero, Biophys. Chem. 40, 43 (1991).PubMedCrossRefGoogle Scholar
  21. 21.
    J.C. Nuño, M. Andrade, F. Morán and F. Montero, Bull. Math. Biol. 55, 385 (1993).Google Scholar
  22. 22.
    J.C. Nuño, M. Andrade and F. Montero, Bull.Math.Biol. 55, 417 (1993).Google Scholar
  23. 23.
    J.C. Nuño and P. Tarazona, submitted to Theor.Pop.Biol. (1992).Google Scholar
  24. 24.
    B.M.R. Stadler and P.F. Stadler, Bull.Math.Biol 53, 469 (1991).Google Scholar
  25. 25.
    M.C. Boerlijst and P. Hogeweg, Physica D 48, 17 (1991).CrossRefGoogle Scholar
  26. 26.
    M. Nowak and P. Schuster, J.Theor.Biol. 137, 375 (1987).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • F. Montero
    • 1
  • J. C. Nuño
    • 2
  1. 1.Dpto. de Bioquímica y Biología Molecular IFac. CC. Químicas Universidad ComplutenseMadridSpain
  2. 2.Dpto. de MatemáticasE.T.S.I. de Montes Universidad PolitécnicaMadridSpain

Personalised recommendations