| Influence of Coloured Correlated Noises on Probability Distribution and Mean of Tumour Cell Number in the Logistic Growth Model |
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| 引用本文： | 韩立波 龚小龙 曹力 吴大进. Influence of Coloured Correlated Noises on Probability Distribution and Mean of Tumour Cell Number in the Logistic Growth Model[J]. 中国物理快报, 2007, 24(3): 632-635 |
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| 作者姓名： | 韩立波 龚小龙 曹力 吴大进 |
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| 作者单位： | [1]School of Physics Science and Technology, Yangtze University, Jingzhou 434023 [2]State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074 [3]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10275025, and the Key Project of Education Bureau of Hubei Province under Grant No Z200612001. |
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| 摘 要： | An approximate Fokker-Planck equation for the logistic growth model which is driven by coloured correlated noises is derived by applying the Novikov theorem and the Fox approximation. The steady-state probability distribution （SPD） and the mean of the tumour cell number are analysed. It is found that the SPD is the single extremum configuration when the degree of correlation between the multiplicative and additive noises, λ is in -1 〈λ≤0 and can be the double extrema in 0〈λ〈1. A configuration transition occurs because of the variation of noise parameters. A minimum appears in the curve of the mean of the steady-state tumour cell number, （x）, versus λ The position and the value of the minimum are controlled by the noise-correlated times.
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| 关 键 词： | 噪音 概率 肿瘤细胞 生长模式 |
| 收稿时间： | 2006-09-25 |
| 修稿时间： | 2006-09-25 |
Influence of Coloured Correlated Noises on Probability Distribution and Mean of Tumour Cell Number in the Logistic Growth Model |
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| HAN Li-Bo,GONG Xiao-Long,CAO Li,WU Da-Jin. Influence of Coloured Correlated Noises on Probability Distribution and Mean of Tumour Cell Number in the Logistic Growth Model[J]. Chinese Physics Letters, 2007, 24(3): 632-635 |
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| Authors: | HAN Li-Bo GONG Xiao-Long CAO Li WU Da-Jin |
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| Affiliation: | 1 School of Physics Science and Technology, Yangtze University, Jingzhou 434023 ;2 State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074 ; 3 Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Abstract: | |
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| Keywords: | 05.40.-a 87.10.+e 02.50.Ey |
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