Stochastic tumor growth system with two different kinds of time delay

• Authors: Chun-Sheng Dou , Di Li , Can-Jun Wang
• Languages of publication: EN

Abstracts

EN

The dynamical properties of a noise-driven tumor cell growth system are investigated when there exist two different kinds of time delays, in the deterministic and fluctuating forces, respectively. Using the approximation probability density approach, the delayed Fokker-Planck equation is obtained. The effects of two different time delays on the stationary probability distribution (SPD), the mean value and the mean passage time (MFPT) are discussed. It is found that the time delay τ1 in the deterministic force can enhance tumor cell number, while the time delay τ2 in the fluctuating force can induce a decrease in tumor cell numbers. On the other hand, while τ1 can hold back the extinction of tumor cells, τ2 can speed up their extinction.

Keywords

EN

time delay; noise; tumor growth system

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 3
• Pages: 616-620

Dates

published

1 - 6 - 2011

online

26 - 2 - 2011

Contributors

author

Chun-Sheng Dou

• Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China

author

Di Li

• Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China

author

Can-Jun Wang

• Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China

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Identifiers

DOI

10.2478/s11534-010-0067-z