Graded Autocatalysis Replication Domain (GARD): Kinetic Analysis of Self-Replication in Mutually Catalytic Sets

  • Daniel Segré
  • Doron Lancet*
  • Ora Kedem
  • Yitzhak Pilpel


A Graded Autocatalysis Replication Domain (GARD) model is proposed, which provides a rigorous kinetic analysis of simple chemical sets that manifest mutual catalysis. It is shown that catalytic closure can sustain self-replication up to a critical dilution rate, λc, related to the graded extent of mutual catalysis. We explore the behavior of vesicles containing GARD species whose mutual catalysis is governed by a previously published statistical distribution. In the population thus generated, some GARD vesicles display a significantly higher replication efficiency than most others. GARD thus represents a simple model for primordial chemical selection of mutually catalytic sets.


Organic Chemistry Catalysis Geochemistry Simple Model Kinetic Analysis 
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  1. Bachmann, P. A., Luisi, P. L. and Lang, J.: 1992, Nature 357, 57.Google Scholar
  2. Bar-Nun, A., Kochavi, E. and Bar-Nun, S.: 1994, J. Mol. Evol. 39, 116.Google Scholar
  3. De Boer, R. J.: 1983, GRIND: Great Integrator of Differential Equations, Utrecht, Utrecht University.Google Scholar
  4. Dyson, F.: 1985, Origins of Life, Cambridge, Cambridge University Press.Google Scholar
  5. Eigen, M.: 1971, Naturwissenschaften 58, 465.PubMedGoogle Scholar
  6. Eigen, M. and Schuster, P.: 1979, The Hypercycle, Berlin, Springer Verlag.Google Scholar
  7. Farmer, J. D., Kauffman, S. A. and Packard, N. H.: 1986, Physica D 22, 50.Google Scholar
  8. Fontana, W. and Buss, L. W.: 1994, Proc. Natl. Acad. Sci. USA. 91, 757.PubMedGoogle Scholar
  9. Goldbeter, A. and Nicolis, G.: 1972, Biophysic 8, 212.Google Scholar
  10. Kauffman, S. A.: 1993, The Origins of Order - SelfOrganization and Selection in Evolution, Oxford, Oxford University Press.Google Scholar
  11. Kirby, A. J.: 1994, Angew. Chem. Int. Ed. Eng 33, 551.Google Scholar
  12. Küppers, B. O.: 1983, Molecular Theory of Evolution, Berlin, Springer.Google Scholar
  13. Lancet, D., Glusman, G., Segré, D., Kedem, O. and Pilpel, Y.: 1995, ‘A Cellular Automaton Model for SelfReplication of Mutually Catalytic Biopolymers’, Proceedings of the 3rd European Conference on Artificial Life., Granada, Spain.Google Scholar
  14. Lancet, D., Glusmann, G., Segré, D., Kedem, O. and Pilpel, Y.: 1996, Origins Life Evol. Biosphere 26, 270–271.Google Scholar
  15. Lancet, D., Kedem, O. and Pilpel, Y.: 1994, Ber Bunsenges. Phys. Chem. 98(9), 1166.Google Scholar
  16. Lancet, D., Sadovsky, E. and Seidemann, E.: 1993, Proc. Natl. Acad. USA. 90, 3715.Google Scholar
  17. Li, T. and Nicolaou, K. C.: 1994, Nature 369, 218.PubMedGoogle Scholar
  18. Lifson, S.: 1987, Biophys. Chem. 26, 303.PubMedGoogle Scholar
  19. Luisi, P. L., Walde, P. and Oberholzer, T.: 1994, Ber. Bunsenges. Phys. Chem 98(9), 1160.Google Scholar
  20. Miller, S. L.: 1953, Science 117, 528.PubMedGoogle Scholar
  21. Orgel, L. E.: 1992, Nature 358, 203.CrossRefPubMedGoogle Scholar
  22. Pohorille, A. and Wilson, M. A.: 1995, Origins Life Evol. Biosphere 25, 21.Google Scholar
  23. Rashevsky, N.: 1960, Mathematical Biophysics: Physico-Mathematical Foundations of Biology, New York, Dover publications INC.Google Scholar
  24. Schlosser, P. M. and Feinberg, M.: 1994, Chem. Eng. Sci. 49, 1749.Google Scholar
  25. Segré, D., Pilpel, Y., Glusman, G. and Lancet, D.: 1996, in C. B. Cosmovici, S. Bowyer and D. Werthimer, Astronomical and Biochemical Origins and the Search for Life in the Universe, Bologna, Editrice Compositori, 469–476.Google Scholar
  26. Siever, D. and Von Kiedrowski, G.: 1994, Nature 369, 221.PubMedGoogle Scholar
  27. Stadler, P. F., Fontana, W. and Miller, J. H.: 1993, Physica D 63, 378.Google Scholar
  28. Swetina, J. and Schuster, P.: 1982, Biophys. Chem. 16, 329.PubMedGoogle Scholar
  29. Wächtershäuser, G.: 1990, Proc. Natl. Acad. Sci. USA 87, 200.PubMedGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Daniel Segré
    • 1
  • Doron Lancet*
    • 1
  • Ora Kedem
    • 1
  • Yitzhak Pilpel
    • 1
  1. 1.Department of Membrane Research and BiophysicsThe Weizmann Institute of ScienceRehovotIsrael

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