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Dynamics of Autocatalytic Replicator Networks Based on Higher Order Ligation Reactions

Author

Listed:
  • Bärbel M.R. Stadler
  • Peter F. Stadler
  • Peter Schuster

Abstract

A class of autocatalytic reaction networks based on template dependent ligation and higher order catalysis is analyzed. Apart from an irreversible ligation reaction we consider only reversible aggregation steps that provide a realistic description of molecular recognition. The over-all dynamics can be understood by means of replicator equations with highly non-linear interaction functions. The dynamics depends crucially on the total concentration c0 of replicating material.

Suggested Citation

  • Bärbel M.R. Stadler & Peter F. Stadler & Peter Schuster, 1999. "Dynamics of Autocatalytic Replicator Networks Based on Higher Order Ligation Reactions," Working Papers 99-09-065, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:99-09-065
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    References listed on IDEAS

    as
    1. David H. Lee & Kay Severin & Yohei Yokobayashi & M. Reza Ghadiri, 1997. "Emergence of symbiosis in peptide self-replication through a hypercyclic network," Nature, Nature, vol. 390(6660), pages 591-594, December.
    2. Peter Schuster & Peter F. Stadler, 1998. "Nature and Evolution of Early Replicons," Working Papers 98-11-098, Santa Fe Institute.
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    More about this item

    Keywords

    Autocatalytic networks; replicator equation; ligation; hypercycle;
    All these keywords.

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