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Fluctuation of Parameters in Tumor Cell Growth Model
Authors:AI Bao-Quan  WANG Xian-Ju  LIU Guo-Tao  LIU Liang-Gang
Institution:Department of Physics, Zhongshan University, Guangzhou 510275, China Department of Physics, Zhongshan University, Guangzhou 510275, China Department of Physics, Zhongshan University, Guangzhou 510275, China Department of Physics, Zhongshan University, Guangzhou 510275, China
Abstract:We study the steady state properties of a logistic growth model in the presence of Gaussian white noise.Based on the corresponding Fokker-Planck equation the steady state solution of the probability distribution functionand its extrema have been investigated. It is found that the fluctuation of the tumor birth rate reduces the populationof the cells while the fluctuation of predation rate can prevent the population of tumor cells from going into extinction.Noise in the system can induce the phase transition.
Keywords:tumor cell growth model  noise  Fokker-Planck equation
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