Oscillatory dynamics in a gene regulatory network mediated by small RNA with time delay
Oscillatory dynamics in a gene regulatory network mediated by small RNA with time delay
复制标题
小RNA介导的基因调控网络中的振荡动力学，具有时间延迟
DOI：
10.1007/s11071-013-1117-z
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发表时间：
2014-04
影响因子：
5.6
通讯作者：
Zengrong Liu
中科院分区：
文献类型：
--
作者：
Haihong Liu;Fang Yan;Zengrong Liu
A genetic regulatory network mediated by small RNA with two time delays is investigated. We show by mathematical analysis and simulation that time delays can provide a mechanism for the intracellular oscillator. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the asymptotic stability of the positive equilibrium is investigated and Hopf bifurcations are demonstrated. Furthermore, the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by the normal form theory and the center manifold theorem for functional differential equations. Finally, some numerical simulations are carried out for illustrating the theoretical results.
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DOI：
10.1002/9780470488065
发表时间：
2009-07
期刊：
--
影响因子：
--
作者：
Luonan Chen;Rui-Sheng Wang;Xiang-Sun Zhang
通讯作者：
Luonan Chen;Rui-Sheng Wang;Xiang-Sun Zhang
DOI：
10.1016/j.cnsns.2010.12.006
发表时间：
2011-08
影响因子：
3.9
作者：
Dan Zhang;Li Yu
通讯作者：
Dan Zhang;Li Yu
DOI：
10.1016/j.jfranklin.2010.05.001
发表时间：
2010-09
期刊：
J. Frankl. Inst.
影响因子：
--
作者：
Dan Zhang;Li Yu
通讯作者：
Dan Zhang;Li Yu
DOI：
10.1016/j.cnsns.2009.12.032
发表时间：
2010-11
影响因子：
3.9
作者：
Dan Zhang;Li Yu
通讯作者：
Dan Zhang;Li Yu
DOI：
10.1016/j.physd.2004.10.010
发表时间：
2005-01
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
Yongli Song;Maoan Han;Junjie Wei
通讯作者：
Yongli Song;Maoan Han;Junjie Wei