Dynamics of Autocatalytic Replicator Networks Based on Higher Order Ligation Reactions

Bärbel M.R. Stadler, Peter F. Stadler and Peter Schuster

Working Papers from Santa Fe Institute

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.

Keywords: Autocatalytic networks; replicator equation; ligation; hypercycle (search for similar items in EconPapers)
Date: 1999-09
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Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:99-09-065

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