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Effect of Time Delay on Stochastic Tumor Growth |
| TIAN Jing, CHEN Yong |
| Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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| Cite this article: |
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TIAN Jing, CHEN Yong 2010 Chin. Phys. Lett. 27 030502 |
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Abstract We study the dynamics of tumor cell growth with time-delayed feedback driven by multiplicative noise in an asymmetrical bistable potential well. For a small delay time, the analytical solutions of the probability distribution and the first passage time show that, with the increasing delay time, the peak of the probability distribution in a lower population state would increase, but in a higher population state it decreases. It is shown that the multiplicative noise and the time delay play opposite roles in the tumor cell growth.
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05.40.-a
05.40.Ca
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Received: 03 December 2009
Published: 09 March 2010
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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05.40.Ca
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(Noise)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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