摘要
基因调控网络是一类复杂动力系统,它反映的是活细胞生物的动力学行为.为了揭示时滞基因调控网络的调控机制,研究了一类基因调控网络的稳定性与分叉分析.首先建立了枢纽结构基因调控网络模型,通过Laplace变换得出了特征方程;然后分析了特征方程根的分布情况从而得到了网络模型的稳定性与分叉的判定准则;最后进行了数值仿真,验证了结论的正确性.
Genetic regulatory network is a complex dynamic system,which reflects the dynamic behavior of living cell organisms.In order to reveal the mechanism of genetic regulatory networks with delay,we study the stability and bifurcation analysis of genetic regulatory network.Firstly,agenetic regulatory network with hub structure is established;and then a characteristic equation is obtained by the Laplace transform.The criterion of stability and bifurcation of the network model is obtained according to analyzing distribution of roots for the characteristic equation.Finally,some simulation examples are carried out to verify our analysis.
作者
吴燕
王宝贤
Wu Yan;Wang Baoxian(College of Science, China Three Gorges Univ. , Yichang 443002, Chin)
出处
《三峡大学学报（自然科学版）》
CAS
北大核心
2018年第4期87-91,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金项目(61304162)
关键词
基因调控网络
枢纽结构
时滞
分叉分析
拉普拉斯变换
genetic regulatory network
hub structure
delay
bifurcation analysis
Laplace transform
