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 T can affect the ste...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 T 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 T 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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10347108 and 30470495, and the Guangdong Provincial Natural Science Foundation under Grant No 021707.
文摘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 T 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 T 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.
