Oscillatory dynamics in a simple gene regulatory network mediated by small RNAs

Jianwei Shen, Zengrong Liu, Weixing Zheng, Fengdan Xu and Luonan Chen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 14, 2995-3000

Abstract: 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.

Keywords: Mathematical model; Hopf bifurcation; Small RNA; Oscillation; Gene regulatory network (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:14:p:2995-3000

DOI: 10.1016/j.physa.2009.03.032

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