Deterministic Characterization of Intrinsic Noise in Chemical Reactions
YAN Long1, WANG Hong-Li1,2,3, OUYANG Qi1,2,3
1State Key Laboratory for Mesoscopic Physics, Department of Physics, Peking University, Beijing 1008712Center for Theoretical Biology, Peking University, Beijing 1008713The Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (PKU), Beijing 100871
Deterministic Characterization of Intrinsic Noise in Chemical Reactions
YAN Long1, WANG Hong-Li1,2,3, OUYANG Qi1,2,3
1State Key Laboratory for Mesoscopic Physics, Department of Physics, Peking University, Beijing 1008712Center for Theoretical Biology, Peking University, Beijing 1008713The Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (PKU), Beijing 100871
摘要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.
Abstract：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.
(Fluctuation phenomena, random processes, noise, and Brownian motion)
引用本文:
YAN Long;WANG Hong-Li;;OUYANG Qi;. Deterministic Characterization of Intrinsic Noise in Chemical Reactions[J]. 中国物理快报, 2010, 27(1): 10501-010501.
YAN Long, WANG Hong-Li, , OUYANG Qi,. Deterministic Characterization of Intrinsic Noise in Chemical Reactions. Chin. Phys. Lett., 2010, 27(1): 10501-010501.
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2010, Vol. 27 
