2005/07/10 by Wei-Rong Zhong, Yuanzhi Shao, Zhong, Wei-Rong +5
Physics and Astronomy · #Biological Physics (physics.bio-ph) #FOS: Physical sciences #physics.bio-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.physics/0507070
8 pages, 3 figures
openalex publication_date 2005/07/10 · arxiv created 2005/07/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.