Kharial High School, Kanaipur, Hooghly, 712234, India.
Eur Phys J E Soft Matter. 2022 Jul 13;45(7):61. doi: 10.1140/epje/s10189-022-00213-2.
The transcription factors, such as activators and repressors, can interact with the promoter of gene either in a competitive or non-competitive way. In this paper, we construct a stochastic model with non-competitive transcriptional regulatory architecture and develop an analytical theory that re-establishes the experimental results with an improved data fitting. The analytical expressions in the theory allow us to study the nature of the system corresponding to any of its parameters and hence, enable us to find out the factors that govern the regulation of gene expression for that architecture. We notice that, along with transcriptional reinitiation and repressors, there are other parameters that can control the noisiness of this network. We also observe that, the Fano factor (at mRNA level) varies from sub-Poissonian regime to super-Poissonian regime. In addition to the aforementioned properties, we observe some anomalous characteristics of the Fano factor (at mRNA level) and that of the variance of protein at lower activator concentrations in the presence of repressor molecules. This model is useful to understand the architecture of interactions which may buffer the stochasticity inherent to gene transcription.
转录因子，如激活子和抑制子，可以以竞争或非竞争的方式与基因的启动子相互作用。在本文中，我们构建了一个具有非竞争转录调控结构的随机模型，并开发了一种分析理论，该理论通过改进的数据拟合重新确立了实验结果。该理论中的解析表达式允许我们研究与系统任何参数相对应的系统性质，从而使我们能够找出控制该结构基因表达调控的因素。我们注意到，除了转录重新起始和抑制子之外，还有其他参数可以控制这个网络的噪声。我们还观察到，在存在抑制子分子的情况下，mRNA 水平上的福诺因子（Fano factor）从亚泊松分布转变为超泊松分布。除了上述特性外，我们还观察到在较低激活剂浓度下，福诺因子（在 mRNA 水平上）和蛋白质方差的一些异常特征。该模型有助于理解可能缓冲基因转录固有随机性的相互作用结构。
