Modeling heat bath and probing environmental temperature effect in gene expression

The presented results in this study are focused on the theoretical modeling of protein syntheses by considering the environment temperature. Considering that temperature appears in the role of chemical potential in the process of protein synthesis, we can witness a different face of the mRNA and protein degradation rate effective mode and ranges. It seems that the difference between the analytical modeling results and the experimental results is due to the lack of attention to the limiting effect of temperature in the gene expression process. The inhibitory role of the protein degradation rate in the process becomes more prominent by considering the temperature, and the influence of the mRNA degradation rate on the increase in the mRNA level decreases. In addition, the modeling shows that the time required for the gene level to reach its maximum level will be an explicit function of the environment temperature