IEEE Trans Nanobioscience. 2020 Apr;19(2):285-298. doi: 10.1109/TNB.2020.2964900. Epub 2020 Jan 8.
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.
在遗传调控网络（GRN）中，mRNA 和蛋白质的扩散率在基因表达的调控机制中起着关键作用，特别是在翻译和转录过程中。然而，扩散率对振荡基因表达的影响还不是很清楚。在本文中，通过考虑 mRNA 和蛋白质的扩散率，提出了一种新的 GRN。然后，详细解决了该网络的两个基本问题，即稳定性和振荡。此外，还研究了振荡的性质。研究发现，总生化反应时间会影响正平衡点的稳定性并引发振荡。mRNA 和蛋白质的扩散率对振荡特性有重大影响。最后，两个例子不仅验证了理论结果，还表明略微增加扩散率可能会导致振荡基因表达发生巨大变化。
