%0 Journal Article
%T Oscillatory Activities in Regulatory Biological Networks and Hopf Bifurcation
%A YAN Shi-Wei
%A WANG Qi
%A XIE Bai-Song
%A ZHANG Feng-Shou
%A <br>晏世伟
%A 王祺
%A 射柏松
%A 张丰收
%J 中国物理快报
%D 2007
%I 
%X Exploiting the nonlinear dynamics in the negative feedback loop, we propose a statistical signal-response model to describe the different oscillatory behaviour in a biological network motif. By choosing the delay as a bifurcation parameter, we discuss the existence of Hopf bifurcation and the stability of the periodic solutions of model equations with the centre manifold theorem and the normal form theory. It is shown that a periodic solution is born in a Hopf bifurcation beyond a critical time delay, and thus the bifurcation phenomenon may be important to elucidate the mechanism of oscillatory activities in regulatory biological networks.
%K 87
%K 16
%K Yc
%K 05
%K 45
%K -a
%K 87
%K 14
%K Ee
%K 02
%K 30
%K Ks<br>摆动幅度
%K 生物学网络
%K 分叉
%K 力学
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=03664AC44D48081813A493DA5F8D47A1&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=B31275AF3241DB2D&sid=8A16493E4294FD55&eid=CC25DB91403D0902&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=1&reference_num=0