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PubMed · 11046628

Error propagation in the hypercycle.

P R Campos·J F Fontanari·P F Stadler
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Abstract

We study analytically the steady-state regime of a network of n error-prone self-replicating templates forming an asymmetric hypercycle and its error tail. We show that the existence of a master template with a higher noncatalyzed self-replicative productivity a than the error tail ensures the stability of chains in which m < n-1 templates coexist with the master species. The stability of these chains against the error tail is guaranteed for catalytic coupling strengths K on the order of a. We find that the hypercycle becomes more stable than the chains only if K is on the order of a2. Furthermore, we show that the minimal replication accuracy per template needed to maintain the hypercycle, the so-called error threshold, vanishes as square root of n/K for large K and N < or = 4.

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DNA ReplicationEvolution, MolecularMathematicsModels, BiologicalTemplates, GeneticJournal ArticleResearch Support, Non-U.S. Gov't

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P R Campos, J F Fontanari, P F Stadler. 2000. Error propagation in the hypercycle.. https://doi.org/10.1103/physreve.61.2996

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