白高斯噪声对肿瘤增长系统的影响

Effects of white Gaussian noise on the tumor cell growth system

目的研究受白高斯噪声驱动的肿瘤细胞增长系统的定态性质。方法从理论和数值两方面对系统的定态进行分析。结果该系统的定态概率密度随乘性噪声强度D的增长而减小,而加性噪声强度α对定态概率密度几乎没有影响。结论乘性噪声强度D的增长能够引起肿瘤数的减少。

Aim The steady properties of the tumor cell growth system driven by white Gaussian noises are investigated. Methods The theory method and numerical simulation method were applied to study the steady properties of the system. Results The steady probability distribution decreases with the multiplicative white noise intensity D increasing. However, the additive white noise intensity α has no effects on the steady probability distribution. Conclusion The multiplicative noise intensity D increasing can cause tumor cell extinction.