负反馈调控大肠杆菌基因振子的分岔控制

曲靖师范学院学报 ›› 2017, Vol. 36 ›› Issue (6): 6-9.

负反馈调控大肠杆菌基因振子的分岔控制

潘艳芳,刘海鸿

云南师范大学数学学院,云南昆明 650500

收稿日期:2017-09-05 出版日期:2017-12-10
作者简介:潘艳芳,云南师范大学数学学院硕士研究生,主要从事非线性动力学研究.

Bifurcation and Control of Escherichiacoli Gene Oscillations with Negative State Feedback

Pan Yanfang, Liu Haihong

Department of Mathematics, Yunnan Normal University, Kunming Yunnan, 650500, China

Received:2017-09-05 Published:2017-12-10

摘要/Abstract

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.

关键词: 基因调控, 稳定性, Hopf分岔, 时滞, 分岔调控, 状态反馈

Abstract: 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.

Key words: genetic regulatory, stability, Hopf bifurcation, delay, bifurcation control, state feedback

中图分类号:

O175.14

潘艳芳,刘海鸿. 负反馈调控大肠杆菌基因振子的分岔控制[J]. 曲靖师范学院学报, 2017, 36(6): 6-9.

Pan Yanfang, Liu Haihong. Bifurcation and Control of Escherichiacoli Gene Oscillations with Negative State Feedback[J]. JOURNAL OF QUJING NORMAL UNIVERSITY, 2017, 36(6): 6-9.

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