摘要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.
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.
(Probability theory, stochastic processes, and statistics)
引用本文:
CAI Jian-Chun;WANG Can-Jun;MEI Dong-Cheng. Stochastic Resonance in the Tumour Cell Growth Model[J]. 中国物理快报, 2007, 24(5): 1162-1165.
CAI Jian-Chun, WANG Can-Jun, MEI Dong-Cheng. Stochastic Resonance in the Tumour Cell Growth Model. Chin. Phys. Lett., 2007, 24(5): 1162-1165.
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