Recursiveness, Switching, and Fluctuations in a Replicating Catalytic Network

Preprint

15 February 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0302313

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.

Keywords

STATE WITHOUT RECURSIVE
REPLICATING CATALYTIC
RECURSIVE PRODUCTION
MUTUALLY CATALYZING
CATALYTIC NETWORK
PROTOCELL MODEL
REPLICATION
HEURISTIC

All Related Versions

Version 1, 2003-02-15, ArXiv
Published version: Physical Review E, 68 (3), 031909.

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