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

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60503-060503.doi: 10.1088/1674-1056/19/6/060503

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

闫勇¹, 梅冬成², 白春燕³

(1)Department of Computer Science, Simao Teachers' College, Puer 665000, Yunnan Province, China; (2)Department of Physics, Yunnan University, Kunming 650091, China; (3)Department of Physics, Yunnan University, Kunming 650091, China;Department of Computer Science, Simao Teachers' College, Puer 665000, Yunnan Province, China

收稿日期:2009-09-24 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10865006) and the Science Foundation of Yunnan University (Grant No.~2009A01Z).

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

Bai Chun-Yan(白春燕)^a)b), Yan Yong(闫勇)^b), and Mei Dong-Cheng(梅冬成)^a)†

^a Department of Physics, Yunnan University, Kunming 650091, China; ^b Department of Computer Science, Simao Teachers' College, Puer 665000, Yunnan Province, China

Received:2009-09-24 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10865006) and the Science Foundation of Yunnan University (Grant No.~2009A01Z).

摘要/Abstract

摘要： 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 α , 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 (α or D), the SNR decreases as \lambda increases; however, for the case of larger values of noise intensity (α or D), the SNR increases as \lambda increases.

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.

Key words: gene transcriptional regulatory system, stochastic resonance, critical phenomenon

中图分类号: (Dynamical, regulatory, and integrative biology)

87.85.Xd

05.40.Ca (Noise) 02.50.Fz (Stochastic analysis)

白春燕, 闫勇, 梅冬成. Stochastic resonance induced by a multiplicative periodic signal in the gene transcriptional regulatory system with correlated noises[J]. 中国物理B, 2010, 19(6): 60503-060503.

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[J]. Chin. Phys. B, 2010, 19(6): 60503-060503.

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

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

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