色噪声驱动的肿瘤细胞增长系统的瞬态性质:平均首通时间

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.经过数值计算，结果表明：肿瘤增长系统的T在正关联(0<λ<1, λ为关联噪声强度)和负关联(-1<λ<0)呈现出不同的特性. 正关联时，噪声强度和对应的关联时间在态转化过程中起着相反的作用；然而，负关联时，肿瘤增长系统的关键词：色噪声肿瘤细胞增长系统平均首通时间

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

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.