Alteration of Chemical Concentrations through Discreteness-Induced Transitions in Small Autocatalytic Systems

2001/09/30 by Yuichi Togashi, Kunihiko Kaneko · 2 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Gene Regulatory Network Analysis #nlin.AO #physics.bio-ph #q-bio.SC #stochastic dynamics and bifurcation

paper · pdf · doi:10.1143/jpsj.72.62

published as Jour. Phys. Soc. Jpn. 72, 62 (2003) · 10 pages, 11 figures, latex, to appear in Jour. Phys. Soc. Jpn

arxiv created 2002/10/22 · openalex publication_date 2003/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study an autocatalytic system consisting of several interacting chemical species. We observe a strong dependence of the concentrations of the chemicals on the size of the system. This dependence is caused by the discrete nature of the molecular concentrations. Two basic mechanisms responsible for them are identified and elucidated. The relevance of the transitions to processes in biochemical systems and in micro-reactors is briefly discussed.

Citations

• A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
• Transitions Induced by the Discreteness of Molecules in a Small Autocatalytic System

Cited by

• Analytical study of non Gaussian fluctuations in a stochastic scheme of autocatalytic reactions
• Enhanced stochastic oscillations in autocatalytic reactions