Stochastic resonance induced by a multiplicative periodic signal in the gene transcriptional regulatory system with correlated noises

doi:10.1088/1674-1056/19/6/060503

Abstract This paper investigates the stochastic resonance (SR) induced by a multiplicative periodic signal in the gene transcriptional regulatory system with correlated noises. The expression of the signal-to-noise ratio (SNR) is derived. The results indicate that the existence of a maximum in SNR vs. the additive noise intensity $\alpha$, the multiplicative noise intensity D and the cross-correlated noise intensity $\lambda$ is the identifying characteristic of the SR phenomenon and there is a critical phenomenon in the SNR as a function of $\lambda$ , i.e., for the case of smaller values of noise intensity ($\alpha$ or D), the SNR decreases as $\lambda$ increases; however, for the case of larger values of noise intensity ($\alpha$ or D), the SNR increases as $\lambda$ increases.

Keywords: gene transcriptional regulatory system stochastic resonance critical phenomenon

Received: 24 September 2009
Accepted manuscript online:

PACS:	87.85.Xd	(Dynamical, regulatory, and integrative biology)
	05.40.Ca	(Noise)
	02.50.Fz	(Stochastic analysis)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10865006) and the Science Foundation of Yunnan University (Grant No.~2009A01Z).

Cite this article:

Bai Chun-Yan(白春燕), Yan Yong(闫勇), and Mei Dong-Cheng(梅冬成) Stochastic resonance induced by a multiplicative periodic signal in the gene transcriptional regulatory system with correlated noises 2010 Chin. Phys. B 19 060503

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Stochastic resonance induced by a multiplicative periodic signal in the gene transcriptional regulatory system with correlated noises

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