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Dynamics of Autocatalytic Replicator Networks Based on Higher Order Ligation Reactions

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Author Info
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.

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Paper provided by Santa Fe Institute in its series Working Papers with number 99-09-065.

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Date of creation: Sep 1999
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Handle: RePEc:wop:safiwp:99-09-065

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Keywords: Autocatalytic networks; replicator equation; ligation; hypercycle;

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  1. Peter Schuster & Peter F. Stadler, 1998. "Nature and Evolution of Early Replicons," Working Papers 98-11-098, Santa Fe Institute.
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