基因网络体系中环境扰动的放大效应 The Amplification Effect of noise in Synthetic Gene Networks

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。 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.