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High-frequency and low-frequency effects on vibrational resonance in a synthetic gene network
Jiancheng Shi1, Chusheng Huang, Tao Dong
1College of Chemistry and Life Sciences, Guangxi Teachers Education University, Nanning, People's Republic of China.
Abstract:
The high-frequency and low-frequency effects on vibrational resonance (VR) in a synthetic gene network are studied. Results show that the role of the high-frequency signal in VR acts as that of noise in stochastic resonance (SR), namely a high-frequency signal can change the effective value of the control parameter such that the random state-state transitions of the switch can happen. A low-frequency signal with lower frequency and higher amplitude tends to favor the response of the system. When VR occurs, the ratio of the optimal amplitude (B(opt)) to the corresponding frequency (Omega) of the high-frequency signal is a definite constant. Furthermore, if noise is introduced into the system, noise plays a suppressive role for VR, and various resonance phenomena including the bell-shaped VR and VR without tuning are exhibited in the system.
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