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Molecular Replicator Dynamics

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)

  • PETER F. STADLER

    (Lehrstuhl für Bioinformatik, Institut für Informatik, Universität Leipzig, Kreuzstraße 7a, D-04103 Leipzig, Germany;
    Institut für Theoretische Chemie und Strukturbiologie, Universität Wien, Währingerstraße 17, A-1090 Wien, Austria;
    The Santa Fe Institute, 1399 Hyde Park Rd., Santa Fe NM 87501, USA)

Abstract

Template-dependent replication at the molecular level is the basis of reproduction in nature. A detailed understanding of the peculiarities of the chemical reaction kinetics associated with replication processes is therefore an indispensible prerequisite for any understanding of evolution at the molecular level. Networks of interacting self-replicating species can give rise to a wealth of different dynamical phenomena, from competitive exclusion to permanent coexistence, from global stability to multi-stability and chaotic dynamics. Nevertheless, there are some general principles that govern their overall behavior. We focus on the question to what extent the dynamics of replication can explain the accumulation of genetic information that eventually leads to the emergence of the first cell and hence the origin of life as we know it. A large class of ligation-based replication systems, which includes the experimentally available model systems for template directed self-replication, is of particular interest because its dynamics bridges the gap between the survival of a single fittest species to the global coexistence of everthing. In this intermediate regime the selection is weak enough to allow the coexistence of genetically unrelated replicators and strong enough to limit the accumulation of disfunctional mutants.

Suggested Citation

  • Bärbel M. R. Stadler & Peter F. Stadler, 2003. "Molecular Replicator Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 47-77.
    • Handle: RePEc:wsi:acsxxx:v:06:y:2003:i:01:n:s0219525903000724
    DOI: 10.1142/S0219525903000724
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    1. Sardanyés, Josep & Solé, Ricard V., 2007. "Red Queen strange attractors in host–parasite replicator gene-for-gene coevolution," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1666-1678.
    2. Sardanyés, Josep & Solé, Ricard V., 2007. "The role of cooperation and parasites in non-linear replicator delayed extinctions," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1279-1296.
    3. Bernat Bassols & Ernest Fontich & Daniel Oro & David Alonso & Josep Sardanyés, 2021. "Modelling Functional Shifts in Two-Species Hypercycles," Mathematics, MDPI, vol. 9(15), pages 1-22, July.
    4. Zhuravlev, Yu.N. & Tuzinkevich, A.V. & Frisman, E.Ya., 2008. "Modelling the early events of primordial life," Ecological Modelling, Elsevier, vol. 212(3), pages 536-544.
    5. Sardanyés, Josep, 2008. "Error threshold ghosts in a simple hypercycle with error prone self-replication," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 313-319.
    6. Fontich, Ernest & Sardanyés, Josep, 2009. "Dynamical role of the degree of intraspecific cooperation: A simple model for prebiotic replicators and ecosystems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1867-1878.
    7. Hazhir Rahmandad, 2008. "Effect of Delays on Complexity of Organizational Learning," Management Science, INFORMS, vol. 54(7), pages 1297-1312, July.

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