Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time

Wang Can-Jun; Wei Qun; Zheng Bao-Bing; Mei Dong-Cheng

doi:10.7498/aps.57.1375

Abstract
The transient properties (mean first passage time T)of the tumor cell growth system driven by color Gaussian noise are investigated. The approximate Fokker-Planck Equation is obtained based on the Novikov theorem and the Fox approach and the explicit expression of the mean first passage time is derived. The numerical computation results show that T behaves with different characters in the cases of 0λλλλT exhibits complex behavior, namely T has one maximum with the multiplicative noise intensity D and its self-correlation time τ1 increasing.

Keywords:
color Gaussian noise /

tumor cell growth system /

mean first passage time
Authors and contacts
Wang Can-Jun²,

Wei Qun¹,

Zheng Bao-Bing¹,

Mei Dong-Cheng³

(1)宝鸡文理学院非线性研究所,宝鸡 721007; (2)宝鸡文理学院非线性研究所,宝鸡 721007；云南大学物理系, 昆明 650091; (3)云南大学物理系, 昆明 650091
References

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Vol. 57, Issue 3 - 2008-02-05

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Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time

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Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time

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