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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 |
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| Cite this article: |
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YAN Long, WANG Hong-Li, OUYANG Qi 2010 Chin. Phys. Lett. 27 010501 |
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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.
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05.45.Jn
82.40.Ck
05.40.-a
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Received: 28 August 2009
Published: 30 December 2009
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| PACS: |
05.45.Jn
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(High-dimensional chaos)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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