https://doi.org/10.1140/epje/s10189-022-00213-2
Regular Article - Living Systems -
Stochastic gene transcription with non-competitive transcription regulatory architecture
Kharial High School, 712234, Kanaipur, Hooghly, India
Received:
8
March
2022
Accepted:
22
June
2022
Published online:
13
July
2022
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.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epje/s10189-022-00213-2.
The original online version of this article was revised: "plus the same explanatory text of the problem as in the erratum/correction article: In Fig. 3b, the transition via KB should have directed from Gn to Ga. One square bracket was missing in equation 11 and it has been corrected.
A correction to this article is available online at https://doi.org/10.1140/epje/s10189-025-00523-1.
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corrected publication 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

