Stochastic resonance in the gene transcriptional regulatory system subjected to noises

来源 :Chinese Physics B | 被引量 : 0次 | 上传用户:Mijieer
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We have investigated in the adiabatic limit the phenomenon of stochastic resonance in the gene transcriptional regulatory system subjected to an additive noise,a multiplicative noise,and a weakly periodic signal.Using the general two-state approach for the asymmetry system,the analytic expression of signal-to-noise ratio is obtained.The effects of the additive noise intensity α,the multiplicative noise intensity D and the amplitude of input periodic signal A on the signal-to-noise ratio are analysed by numerical calculation.It is found that the existence of a maximum in the R SNR-α and R SNR-D plots is the identifying characteristic of the stochastic resonance phenomenon in the weakened noise intensity region.The stochastic resonance phenomena are restrained with increasing α and D,and enhanced with increasing A. We have investigated in the adiabatic limit the phenomenon of stochastic resonance in the gene transcriptional regulatory system subjected to an additive noise, a multiplicative noise, and a weakly periodic signal. Using the general two-state approach for the asymmetry system, the analytic expression of signal-to-noise ratio is obtained. The effects of the additive noise intensity α, the multiplicative noise intensity D and the amplitude of input periodic signal A on the signal-to-noise ratio are analysed by numerical calculation. existence of a maximum in the R SNR-α and R SNR-D plots is the identifying characteristic of the stochastic resonance phenomenon in the weakened noise intensity region. The stochastic resonance phenomena are restrained with increasing α and D, and enhanced with increasing A.
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