负反馈调控大肠杆菌基因振子的分岔控制  

Bifurcation and Control of Escherichia coli Gene Oscillations with Negative State Feedback

作　　者：潘艳芳 刘海鸿[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《曲靖师范学院学报》2017年第6期6-9,48,共5页Journal of Qujing Normal University

摘　　要：讨论了利用负反馈调控大肠杆菌基因振子的动力学行为.研究发现,在原带有时滞调控模型中,转录时滞和翻译时滞之和增大到某个临界值,分岔发生.有趣的是,在模型中引入负反馈控制后,转录时滞和翻译时滞和的界值增大,分岔推迟发生,也即模型可在一个更大的时滞范围内依然保持稳定.最后给出了数值模拟.This paper studies the dynamical behavior of oscillatory expression in E. coli with negative state feedback. Results show that the bifurcation happens when the sum of the time delay reaches a critical value.Interestingly,after adding the control of negative state feedback,the Hopf bifurcation phenomenon is delayed,which indicates that the model can keep steady within a bigger range. What's more,numerical simulations are carried out to support the theoretical analysis.

关 键 词：基因调控 稳定性 HOPF分岔 时滞 分岔调控 状态反馈 

分 类 号：O175.14[理学—数学]