Recursiveness, Switching, and Fluctuations in a Replicating Catalytic Network

Abstract

A protocell model consisting of mutually catalyzing molecules is studied in order to investigate how chemical compositions are transferred recursively through cell divisions under replication errors. Depending on the path rate, the numbers of molecules and species, three phases are found: fast switching state without recursive production, recursive production, and itinerancy between the above two states. The number distributions of the molecules in the recursive states are shown to be log-normal except for those species that form a core hypercycle, and are explained with the help of a heuristic argument.

arXiv comment4 pages (with 7 figures (6 color)), submitted to PRL

References in corpus (2)

• Zipf's Law in Gene Expression
• Transitions Induced by the Discreteness of Molecules in a Small Autocatalytic System

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• Enzyme oscillation can enhance the thermodynamic efficiency of cellular metabolism: Consequence of anti-phase coupling between reaction flux and affinity
• Inverse Relationship Between Molecular Diversity And Resource Abundances
• Discreteness-Induced Transitions in Autocatalytic Systems
• Molecular Diversity and Network Complexity in Growing Protocells
• Statistical mechanics of relative species abundance