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Stochastic Resonance in a Gene Transcriptional Regulatory System with Time Delay |
| ZENG Chun-Hua;XIE Chong-Wei |
| Department of Physics, Yunnan University, Kunming 650091 |
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| Cite this article: |
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ZENG Chun-Hua, XIE Chong-Wei 2008 Chin. Phys. Lett. 25 1587-1590 |
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Abstract We study the stochastic resonance (SR) phenomenon in a time-delayed gene transcriptional regulatory system under the simultaneous action of a multiplicative noise and an additive noise and a weak periodic signal. The expression of the signal-to-noise ratio RSNR is obtained by applying the
two-state theory in adiabatic limit under the condition of small delay time. The effects of delay time and intensity of the correlation between multiplicative and additive noise on RSNR are discussed. It is found that the delay time τ enhances the SR of the system. The correlation intensity λ enhances the SR in the RSNR-D plot (D denotes the multiplicative noise intensity), but weakens the SR in the RSNR-α plot (α denotes the additive noise intensity).
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| Keywords:
05.40.-a
87.10.+e
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Received: 12 January 2008
Published: 29 April 2008
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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87.10.+e
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