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Stochastic Resonance in the Tumour Cell Growth Model |
| CAI Jian-Chun 1;WANG Can-Jun 1,2;MEI Dong-Cheng1 |
| 1Department of Physics, Yunnan University, Kunming 6500912Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007 |
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| Cite this article: |
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CAI Jian-Chun, WANG Can-Jun, MEI Dong-Cheng 2007 Chin. Phys. Lett. 24 1162-1165 |
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Abstract The phenomenon of stochastic resonance (SR) in the tumour cell growth model subjected cross-correlated noises is investigated. When a weakly periodic signal is added to the system, the signal-to-noise ratio RSNR is derived by the quasi-steady-state probability distribution function and the adiabatic elimination method. Based on the derived RSNR, the effects of these parameters (the cross-correlated strength λ and the cross-correlated time τ) are analysed by numerical calculation. It is found that the existence of a maximum in RSNR is the identifying characteristic of the SR phenomenon. The maximum of RSNR decreases with the increase of λ and increases with the increase of τ.
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05.40.-a
02.50.-r
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Received: 01 January 1900
Published: 23 April 2007
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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