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
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
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.
WANG Xian-Ju;ZENG Chang-Chun; DENG Xiao-Yuan;LIU Song-Hao;LIU Liang-Gang. Effects of Cross-Correlation Colour Noises on Tumour Growth Process[J]. 中国物理快报, 2005, 22(9): 2437-2440.
WANG Xian-Ju, ZENG Chang-Chun, DENG Xiao-Yuan, LIU Song-Hao, LIU Liang-Gang. Effects of Cross-Correlation Colour Noises on Tumour Growth Process. Chin. Phys. Lett., 2005, 22(9): 2437-2440.
2005, Vol. 22 
