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本文研究加性幅度调制信号和关联噪声驱动下的基因转录调控模型中的随机共振现象.采用标准的两态方法,推导了绝热近似下信噪比精确的表达式.通过对信噪比的数值模拟,研究发现,信噪比随乘性噪声和加性噪声强度变化时会出现随机共振现象.此外,模拟结果还表明,随机共振的峰值高度可以通过驱动信号的幅度调制深度和幅度调制频率来实现对它的控制.更有趣的是,在信噪比随噪声关联强度变化曲线中观察到了多重随机共振现象.
In this paper, we study the phenomenon of stochastic resonance in gene transcription regulation model driven by additive amplitude modulation signal and correlated noise.The exact expression of signal-noise ratio under adiabatic approximation is deduced by standard two-state method.According to the value of signal-to-noise ratio Simulation results show that the phenomenon of stochastic resonance occurs when the signal-noise ratio varies with the multiplicative noise and the additive noise intensity.In addition, the simulation results also show that the peak height of stochastic resonance can be obtained by adjusting the amplitude modulation depth and amplitude modulation frequency of the driving signal To achieve its control.More interestingly, the phenomenon of multiple stochastic resonance was observed in the curve of the signal-noise ratio with the noise intensity.