期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 388, 期 14, 页码 2995-3000出版社
ELSEVIER
DOI: 10.1016/j.physa.2009.03.032
关键词
Mathematical model; Hopf bifurcation; Small RNA; Oscillation; Gene regulatory network
资金
- National Natural Science Foundation of China [10802043, 10832006, 10826092, 10672093]
- China Postdoctoral Science Foundation [20070410717]
- Natural Science Foundation of Henan Province
- Program for Science and Technology Innovation Talents in Universities of Henan Province [2009HASTIT033]
More and more experiments show that small RNAs regulate gene expression by repressing translation of messenger RNAs (mRNAs) or degrading mRNAs. In this paper, we incorporate the small RNAs into a simple gene regulatory network and investigate its dynamical behaviors. In addition, we also derive the theoretical results of globally asymptotic stability and provide the sufficient conditions for the oscillation of the simple gene regulatory network, and further demonstrate that the amplitudes against the change of delay in the gene regulatory network are robust. (C) 2009 Elsevier B.V. All rights reserved.
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