Stochastic properties of tumor growth with coupling between non-Gaussian and Gaussian noise terms

doi:10.1088/1674-1056/21/9/090503

Abstract Dynamical behavior of tumor-growth model with coupling between non-Gaussian and Gaussian noise terms is investigated. The departure from the Gaussian noise can not only reduce the probability of tumor cells in the active state, induce the minimum of the average tumor-cell population to move toward a smaller non-Gaussian noise, but also decrease the mean first-passage time. The increase of white-noise intensity can increase the tumor-cell population and shorten the mean first-passage time, while the coupling strength between noise terms has opposite effects, and the noise correlation time has a very small effect.

Keywords: tumor growth stochastic property non-Gaussian noise Gaussian noise

Received: 13 December 2011
Revised: 23 April 2012
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	05.40.Ca	(Noise)
	05.10.Gg	(Stochastic analysis methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11005077, 11105095, and 11074184) and the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 10KJD140003).

Corresponding Authors: Luo Xiao-Qin, Zhu Shi-Qun
E-mail: xqluo@suda.edu.cn; szhu@suda.edu.cn

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Jiang Li-Li (蒋莉莉), Luo Xiao-Qin (罗晓琴), Wu Dan (吴丹), Zhu Shi-Qun (朱士群) Stochastic properties of tumor growth with coupling between non-Gaussian and Gaussian noise terms 2012 Chin. Phys. B 21 090503

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Stochastic properties of tumor growth with coupling between non-Gaussian and Gaussian noise terms

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