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Molecular Evolution of Catalysis

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  • Christian V. Forst

Abstract

In this paper we consider evolutionary dynamics of catalytically active species with a distinct genotype-phenotype relationship. Folding landscapes of RNA-molecules serve as a paradigm for this relationship with essential neutral properties. This landscape itself is partitioned by phenotypes (realized as secondary structures). To each genotype (represented as sequence) a structure is assigned in a unique way. The set of all sequences which map into a particluar structure is modeled as random graph in sequence space (the so-called {\it neutral network}). A catalytic network is realized as a random digraph with maximal out-degree 2 and secondary structures as vertex set. Studying a population of catalytic RNA-molecules shows significantly different behavior compared to a deterministic description: hypercycles are able to coexist and survive resp. a parasite with superior catalytic support. A ``switching'' between different dynamical organizations of the network can be observed, dynamical stability of hypercyclic organizations against errors and the existence of an error-threshold of catalysis can be reported.

Suggested Citation

  • Christian V. Forst, 1997. "Molecular Evolution of Catalysis," Working Papers 97-07-069, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:97-07-069
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