PMID: 15244915Jul 13, 2004Paper

Amplification of noise in a cascade chemical reaction

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Tatsuo Shibata

Abstract

Networks of chemical reactions have been given much attention recently. However, dynamical aspects of such networks remain to be elucidated. In this paper, we study a cascade chemical reaction, consisting of a series of downstream-coupled Brusselators. Along the cascade of reaction, small fluctuations naturally existing in the concentration of chemical species are amplified. Such amplification of small noise leads to the formation of chemical oscillations in the downstream chemical species. The amplification rate of small noise in the concentration along the cascade is studied and the method to calculate the amplification rate analytically is developed. It is also shown that the nonlinear evolution of the chemical oscillation in the downstream reaction strongly depends on the frequency of the initial inlet chemical concentration.

References

May 15, 1989·Physical Review A: General Physics·K Otsuka, K Ikeda
Nov 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·O Rudzick, A Pikovsky
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Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Keiji Konishi
Jul 1, 1992·Chaos·Antonio Politi, Alessandro Torcini

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Citations

Jul 2, 2009·The Journal of Chemical Physics·Rajesh RamaswamyIvo F Sbalzarini
Jan 1, 2011·Scientific Reports·Rajesh Ramaswamy, Ivo F Sbalzarini

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