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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90503-090503.doi: 10.1088/1674-1056/21/9/090503

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

蒋莉莉, 罗晓琴, 吴丹, 朱士群

School of Physical Science and Technology, Soochow University, Suzhou 215006, China

收稿日期:2011-12-13 修回日期:2012-04-23 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
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).

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

Jiang Li-Li (蒋莉莉), Luo Xiao-Qin (罗晓琴), Wu Dan (吴丹), Zhu Shi-Qun (朱士群)

School of Physical Science and Technology, Soochow University, Suzhou 215006, China

Received:2011-12-13 Revised:2012-04-23 Online:2012-08-01 Published:2012-08-01
Contact: Luo Xiao-Qin, Zhu Shi-Qun E-mail:xqluo@suda.edu.cn; szhu@suda.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: tumor growth, stochastic property, non-Gaussian noise, Gaussian noise

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.

Key words: tumor growth, stochastic property, non-Gaussian noise, Gaussian noise

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.40.Ca (Noise) 05.10.Gg (Stochastic analysis methods)

蒋莉莉, 罗晓琴, 吴丹, 朱士群. Stochastic properties of tumor growth with coupling between non-Gaussian and Gaussian noise terms[J]. 中国物理B, 2012, 21(9): 90503-090503.

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[J]. Chin. Phys. B, 2012, 21(9): 90503-090503.

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

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

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