Oscillatory Gene Expression by the microRAN Mediating Delayed Negative Feedback Loop  

作　　者：ZHANG Feng-pan LU Jin-rui LIU Zhi-guang 

机构地区：[1]Institute of Applied Mathematics, College of Mathematics and Information Sciences, Henan University, Kaifeng 475001, China [2]Hospital of Henan University, Kaifeng 475001, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第2期303-310,共8页数学季刊（英文版）

基　　金：Supported by the National .Natural Science Foundation of China（Ill05040）; Supported by the Natural Science Foundation of Henan University（2010YBZ010）

摘　　要：More and more experiments show that microRNAs can regulate gene expression by stimulating degradation of mRNA or repression of translation of mRNA. In this paper, we incorporate the microRNA into a previous mathematical model of gene expression through forming a microRNA-induced silencing complex(RISC). Our findings demonstrate the dynamical behavior of the constructed system. By Hopf theories, we derive the theoretical results of globally asymptotical stability and provide the sufficient conditions for the oscillation of the simple gene regulatory system, and by numerical simulation further demonstrate how the amplitudes against the change of delay in the gene regulatory network.More and more experiments show that microRNAs can regulate gene expression by stimulating degradatibn of mRNA or repression of translation of mRNA. In this paper, we incorporate the microRNA into a previous mathematical model of gene expression through forming a microRNA-induced silencing complex（RISC）. Our findings demonstrate the dy- namical behavior of the constructed system. By Hopf theories, we derive the theoretical results of globally asymptotical stability and provide the sufficient＇ conditions for the oscilla- tion of the simple gene regulatory system, and by numerical simulation further demonstrate how the amplitudes against the change of delav in the ~ene regulatnrv netwnrk

关 键 词：gene regulatory network microRNA time delay Hopf bifurcation OSCILLATION 

分 类 号：O29[理学—应用数学]