Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time

Wang Can-Jun; Wei Qun; Zheng Bao-Bing; Mei Dong-Cheng

doi:10.7498/aps.57.1375

Abstract
The transient properties (mean first passage time T)of the tumor cell growth system driven by color Gaussian noise are investigated. The approximate Fokker-Planck Equation is obtained based on the Novikov theorem and the Fox approach and the explicit expression of the mean first passage time is derived. The numerical computation results show that T behaves with different characters in the cases of 0λλλλT exhibits complex behavior, namely T has one maximum with the multiplicative noise intensity D and its self-correlation time τ1 increasing.

Keywords:
color Gaussian noise /

tumor cell growth system /

mean first passage time

PACS:
0540
0250
05.45.-a (Nonlinear dynamics and chaos)
87.23.?n
02.50.Ey (Stochastic processes)
Authors and contacts
Wang Can-Jun²,

Wei Qun¹,

Zheng Bao-Bing¹,

Mei Dong-Cheng³

(1)宝鸡文理学院非线性研究所,宝鸡 721007; (2)宝鸡文理学院非线性研究所,宝鸡 721007；云南大学物理系, 昆明 650091; (3)云南大学物理系, 昆明 650091
References

[1]	Jin Yan-Fei, Li Bei. Stochastic resonance in a piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises. Acta Physica Sinica, 2014, 63(21): 210501. doi: 10.7498/aps.63.210501
[2]	Wang Zhi-Yun, Chen Pei-Jie, Zhang Liang-Ying. Stochastic resonance in a two-mode laser system driven by colored cross-correlation noises. Acta Physica Sinica, 2014, 63(19): 194204. doi: 10.7498/aps.63.194204
[3]	Wang Guo-Wei, Xu Da-Hai, Cheng Qing-Hua. Influences of correlated colored-noises on logistic model for tree growth. Acta Physica Sinica, 2013, 62(22): 224208. doi: 10.7498/aps.62.224208
[4]	Li Bei, Jin Yan-Fei. The mean first-passage time for piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises. Acta Physica Sinica, 2013, 62(15): 150503. doi: 10.7498/aps.62.150503
[5]	Wang Can-Jun. Colored noise induced switch in the gene transcriptional regulatory system. Acta Physica Sinica, 2012, 61(1): 010503. doi: 10.7498/aps.61.010503
[6]	Yang Ya-Qiang, Wang Can-Jun. Steady state characteries of FitzHugh-Nagumo neural system subjected to two different kinds of colored noises. Acta Physica Sinica, 2012, 61(12): 120507. doi: 10.7498/aps.61.120507
[7]	Yang Lin-Jing, Dai Zu-Cheng. The effects of correlated time between noises on stability of unstable state in Logistic system. Acta Physica Sinica, 2012, 61(10): 100509. doi: 10.7498/aps.61.100509
[8]	Liu Zhi-Hong, Zhou Yu-Rong, Zhang An-Ying, Pang Xiao-Feng. Coherence resonance in a nonlinear neuronal models driven by correlated colored noise. Acta Physica Sinica, 2010, 59(2): 699-704. doi: 10.7498/aps.59.699
[9]	Yang Jian-Hua, Liu Xian-Bin. The mean first-passage time for a cancer development system driven by colored cross-correlated noises. Acta Physica Sinica, 2010, 59(6): 3727-3732. doi: 10.7498/aps.59.3727
[10]	Wang Bing, Wu Xiu-Qing, Shao Ji-Hong. The mean first-passage time for an asymmetric bistable system driven by two colored noises. Acta Physica Sinica, 2009, 58(3): 1391-1395. doi: 10.7498/aps.58.1391
[11]	Chen De-Yi, Wang Zhong-Long. Effects of time period modulation of the noise correlation intensity and bias signal modulation of the noise on stochastic resonance of a single-mode laser. Acta Physica Sinica, 2009, 58(5): 2907-2913. doi: 10.7498/aps.58.2907
[12]	Chen De-Yi, Wang Zhong-Long. Effect of the time period modulation of color noise correlation intensity on the stochastic resonance of the single-mode laser. Acta Physica Sinica, 2009, 58(1): 102-106. doi: 10.7498/aps.58.102
[13]	Wang Bing, Yan Shao-Ping, Wu Xiu-Qing. Effects of cross correlated noises on the mean first-passage time of optical bistable system. Acta Physica Sinica, 2009, 58(8): 5191-5195. doi: 10.7498/aps.58.5191
[14]	Wang Can-Jun, Mei Dong-Cheng. Effect of colored cross-correlated noise on the gene transcriptional regulatory system. Acta Physica Sinica, 2008, 57(7): 3983-3988. doi: 10.7498/aps.57.3983
[15]	Wang Chao-Qing, Xu Wei, Zhang Na-Min, Li Hai-Quan. Fitz hugh-nagumo neural system driven by colored noises. Acta Physica Sinica, 2008, 57(2): 749-755. doi: 10.7498/aps.57.749
[16]	Zhang Na-Min, Xu Wei, Wang Chao-Qing. The mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise. Acta Physica Sinica, 2007, 56(9): 5083-5087. doi: 10.7498/aps.56.5083
[17]	Ning Li-Juan, Xu Wei, Yang Xiao-Li. The mean first-passage time for an asymmetric bistable system driven by multiplicative and additive noise with colored correlations. Acta Physica Sinica, 2007, 56(1): 25-29. doi: 10.7498/aps.56.25
[18]	Zhang Liang-Ying, Cao Li, Jin Guo-Xiang. Stochastic resonance of amplitude modulation wave in single-mode laser driven by color noises. Acta Physica Sinica, 2007, 56(9): 5093-5097. doi: 10.7498/aps.56.5093
[19]	Li Yue, Lu Peng, Yang Bao-Jun, Zhao Xue-Ping. Applying a special kind of two coupled Duffing oscillator system to detect periodic signals under the background of strong colored noise. Acta Physica Sinica, 2006, 55(4): 1672-1677. doi: 10.7498/aps.55.1672
[20]	Li Yue, Yang Bao-Jun, Shi Yao-Wu. Chaos-based weak sinusoidal signal detection approach under colored noise background. Acta Physica Sinica, 2003, 52(3): 526-530. doi: 10.7498/aps.52.526

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Vol. 57, Issue 3 - 2008-02-05

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Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time

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0540
0250
05.45.-a	(Nonlinear dynamics and chaos)
87.23.?n
02.50.Ey	(Stochastic processes)

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Transient properties of a tumor cell growth system driven by color Gaussian noises: Mean first-passage time

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