Journal
IEEE TRANSACTIONS ON NANOBIOSCIENCE
Volume 19, Issue 2, Pages 285-298Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNB.2020.2964900
Keywords
Reaction-diffuison; genetic regulatory networks; time delays; oscillation
Funding
- National Key Research and Development Project of China [2018AAA0100101]
- Fundamental Research Funds for the Central Universities [XDJK2020B009]
- Chongqing Technological Innovation and Application Project [cstc2018jszx-cyzdX0171]
- Chongqing Basic and Frontier Research Project [cstc2019jcyj-msxm2105]
- Science and Technology Research Program of Chongqing Municipal Education Commission [KJQN201900816]
- ChongqingSocial Science Planning Project [2019BS053]
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In genetic regulatory networks (GRNs), the diffusion rate of mRNA and protein play a key role in regulatory mechanisms of gene expression, especially in translation and transcription. However, the influence of diffusion rate on oscillatory gene expression is not well understood. In this paper, by considering the diffusion rate of mRNA and protein, a novel GRN is proposed. Then, two basic problems of such network, i.e. stability and oscillation, are solved in detail. Moreover, the properties of oscillation are also investigated. it is found that the total biochemistry reaction time can affect the stability of the positive equilibrium and give rise to the oscillation. The diffusion rate of mRNA and proteins have a major impact on the oscillation properties. Finally, two examples not only verify the theoretical results, but also show that a slight diffusion rate increasing may lead to huge change in oscillatory gene expressions.
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