Deterministic Characterization of Intrinsic Noise in Chemical Reactions

• Published in: Chinese physics letters Vol. 27; no. 1; pp. 48 - 51
• Main Author: 颜隆 王宏利 欧阳颀
• Format: Journal Article
• Language: English
• Published: IOP Publishing 2010
• 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
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/27/1/010501

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.