Stochastic Resonance in an Autoactivating Positive-Feedback Loop with Periodically Modulated Noise

Chun-Hua Zeng ； Hua Wang ； Lin-Ru Nie

《Chinese Journal of Physics》 51卷1期 (2013/02) Pp. 111-125

https://doi.org/10.6122/CJP.51.111

並列摘要

Periodically modulated noise-induced stochastic resonance in an autoactivating positive-feedback loop with bistability is investigated, where the gene expression is assumed to be disturbed by both additive and multiplicative external noises. The signal-to-noise ratio (SNR) is calculated when the noise and the weak periodic force are introduced multiplicatively (rather then additively). The effects of the intensity α of additive noise and the intensities D1 and D2 of two types of multiplicative noises on the SNR are discussed. We compare the multiplicative introduction with the additive introduction between the noise and a weak periodic force. Research results show that (i) the maximum transcription rate kmax can produce a critical behavior in the SNR as a function of the noise intensity α, i.e., there is a critical value of kmax, below which the multiplicative introduction can enhance the maximum in the SNR, while above it is weakened; (ii) the additive introduction can enhance the maximum in the SNR as a function of the noise intensity D1; and (iii) the SNR as a function of the noise intensity D2 exhibits two maxima, i.e., the two maxima in the SNR identifies the characteristic of the double stochastic resonance, and the multiplicative introduction can enhance it.

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