Deterministic Characterization of Intrinsic Noise in Chemical Reactions

The association between intrinsic noises and deterministic descriptions/properties of the rate equations for chemical reactions is analyzed using the linear noise approximation of the master equation. We illustrate that the effect of intrinsic noise is determined in combination by three components：...

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Bibliographic Details
Published in:Chinese physics letters 2010, Vol.27 (1), p.48-51, Article 010501
Main Author: 颜隆 王宏利 欧阳颀
Format: Article
Language:English
Subjects:
Approximation
Attenuation
Chemical reactions
Dynamical systems
Dynamics
Eigenvalues
Mathematical analysis
Noise
化学反应
化学计量系数
反应动力学
固有噪声
线性噪声
组成部分
速率方程
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Summary:The association between intrinsic noises and deterministic descriptions/properties of the rate equations for chemical reactions is analyzed using the linear noise approximation of the master equation. We illustrate that the effect of intrinsic noise is determined in combination by three components： the system size, the matrix associated with reaction kinetics, and the eigenvalues associated with the system＇s dissipation. Generally, a more attractive dynamics tends to attenuate the internal fluctuations more significantly because intrinsic noises are inversely proportional to the absolute value of the real part of the eigenvalues. In addition, a higher reaction rate and larger stoichiometry coefficients will give rise to stronger intrinsic noise.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/27/1/010501