Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time
Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time
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DOI：
10.7498/aps.57.1375
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发表时间：
2008-03
期刊：
影响因子：
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通讯作者：
Wang Can-jun;W. Qun;Zheng Bao-Bing;Mei Dong-cheng
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文献类型：
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作者：
Wang Can-jun;W. Qun;Zheng Bao-Bing;Mei Dong-cheng
研究了受色高斯噪声驱动的肿瘤细胞增长系统的瞬态态性质(平均首通时间T). 据Novikov定理和Fox近似方法得到相应的Fokker-Planck方程，使用最快下降法得到了肿瘤细胞增长系统的平均首通时间的解析表达式.数值计算结果表明，T在0<λ<1和-1<λ<0的情况下分别表现出不同的性质.当0<λ<1时，噪声强度和相应的相关时间在状态转移中起相反的作用。然而，当-1<λ<0时，T表现出复杂的行为，即随着乘性噪声强度D及其自相关时间τ1的增加，T有一个极大值。
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 0<λ<1 and -1<λ<0, respectively. When 0<λ<1, the noise intensity and corresponding correlation time play opposite roles in the state transition. However, when -1<λ<0, T exhibits complex behavior, namely T has one maximum with the multiplicative noise intensity D and its self-correlation time τ1 increasing.