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Stochastic resonance in the growth of a tumor induced by correlated noises

Wei-Rong Zhong·Yuan-Zhi Shao·Zhen-Hui He
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Abstract

Multiplicative noise is found to divide the growth law of tumors into two parts in a logistic model, which is driven by additive and multiplicative noises simultaneously. The Fokker-Planck equation was also derived to explain the fact that the influence of the intensity of multiplicative noise on the growth of tumor cells has a stochastic resonance-like characteristic. An appropriate intensity of multiplicative noise is benefit to the growth of the tumor cells. The correlation between two sorts of noises weakens the stochastic resonance-like characteristic. Homologous noises promote the growth of the tumor cells.

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Wei-Rong Zhong, Yuan-Zhi Shao, Zhen-Hui He. 2005-07-15. Stochastic resonance in the growth of a tumor induced by correlated noises. https://arxiv.org/abs/physics/0507070

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