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Effects of Cross-Correlation Colour Noises on Tumour Growth Process |
| WANG Xian-Ju1,2;ZENG Chang-Chun1; DENG Xiao-Yuan1;LIU Song-Hao1;LIU Liang-Gang3 |
| 1Laboratory of Photonic CM, School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510631
2Department of Basic Knowledge, Guangzhou Navy Academy, Guangzhou 510431
3Department of Physics, Sun Yat-Sen University, Guangzhou 510275 |
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| Cite this article: |
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WANG Xian-Ju, ZENG Chang-Chun, DENG Xiao-Yuan et al 2005 Chin. Phys. Lett. 22 2437-2440 |
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Abstract We present a tumour cell growth process model including a multiplicative coloured noise and an additive coloured noise correlated. How the noise cross-correlation intensity λ and correlation time τ can affect the steady state properties of tumour cell growth model are discussed by solving an approximative Fokker--Planck equation. It is found that the increase of noise correlation time τ can cause the tumour cell number increasing, but the increase of multiplicative noise intensity can cause the tumour cell number extinction. We also find that the increase of cross-correlation intensity λ in the case of 0 <λ<1 can cause the tumour cell number extinction, whereas increase of cross-correlation intensity λ in the case of λ < 0 can cause the tumour cell number increasing.
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| Keywords:
87.10.+e
05.40.-a
02.50.Ey
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Published: 01 September 2005
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| PACS: |
87.10.+e
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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02.50.Ey
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(Stochastic processes)
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