基因网络体系中环境扰动的放大效应
The Amplification Effect of noise in SyntheticGene Networks
摘要: 本文采用数值模拟方法，探讨环境扰动对基因网络体系振荡区域的放大效应。研究发现在没有环境扰动的作用下，体系的宏观确定性动力学方程可以呈现霍普夫分岔特性；随后用随机动力学方法描述体系对环境扰动的响应，发现环境扰动能够激发体系产生振荡行为，更为重要的是能够放大体系的振荡区域，并且相应的振荡频率范围也有所增大。
Abstract: By numerical simulation, the dynamic behaviors of synthetic gene networks were investigated under the perturbation of environmental noise. Without the perturbation of noise, the determinate dynamic equation could display the character of Hopf bifurcation. Then, the response of the system to noise was studied by stochastic dynamic equation description. It was found that noise could excite the system to generate a robust oscillation. Most important, the noise could amply the region of oscillation, and enlarge the range of the corresponding frequency.
文章引用：李亚平, 郭瑞, 郭海川, 吉琳, 李前树. 基因网络体系中环境扰动的放大效应[J]. 应用物理, 2011, 1(1): 32-34. http://dx.doi.org/10.12677/app.2011.11005

参考文献

[1] H. H. McAdams, A. Arkin. Stochastic mechanisms in gene expression. Proc. Natl. Acad. Sci., 1997, 94(3): 814-819.
[2] J. M. Raser, E. K. O’Shea. Noise in gene expression: origins, consequences, and control. Science, 2005, 309(5743):2010-2013.
[3] Q. Liu, Y. Jia. Fluctua-tions-induced switch in the gene transcriptional regulatory system. Phys. Rev. E., 2004, 70(4), p. 041907.
[4] 王志伟, 侯中怀, 辛厚文. 合成基因网络中的内信号随机共振[J]. 中国科学(化学), 2005, 35(3):189-193.
[5] X. Liao, P. Jung, J. Shuai. Global noise and oscil-lations in clustered excitable media. Phys. Rev. E., 2009, 79(4), p. 041923.
[6] T. Tian, K. Burrage. Stochastic models for regulatory networks of the genetic toggle switch. Proc. Natl Acad. Sci., 2006, 103(22): 8372-8377.
[7] T. Zhou, L. Chen, K. Aihara. Molecular communication through stochastic synchronization induced by ex-tracellular fluctuations. Phys. Rev. Lett., 2005, 95(17), p. 178103.
[8] 刘艳, 李前树. 随机扰动和周期信号对基因调控系统的影响[J]. 分子科学学报, 2007, 23(6): 434-436.
[9] J. Hasty, M. Dolnik, V. Rottschäfer, et al. Synthetic gene network for entraining and amplifying cellular oscillations. Phys. Rev. Lett., 2002, 88(14), p. 148101.
[10] 王海侠, 陆启韶, 郑艳红. 神经元模型的复杂动力学: 分岔与编码[J]. 动力学与控制学报, 2009, 7(4): 293-296.

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