Fig. 4.

Effect of molecular memory on gene expression. (A) Schematic representation of a model of stochastic transcription. (B) Dependence of the mean mRNA and the noise intensity on $L_{\text{on}}$, where $L_{\text{off}}=L_{\text{g}}=L_{\text{deg}}=1$. (C) Dependence of the mean mRNA and the noise intensity on $L_{\text{off}}$, where $L_{\text{on}}=L_{\text{g}}=L_{\text{deg}}=1$. (D) Dependence of the mean mRNA and the noise intensity on $L_{\text{g}}$, where $L_{\text{on}}=L_{\text{off}}=L_{\text{deg}}=1$. (E) Dependence of the mean mRNA and the noise intensity on $L_{\text{deg}}$, where $L_{\text{on}}=L_{\text{off}}=L_{\text{g}}=1$. The parameter values are set as ${\lambda }_{\text{on}}=L_{\text{on}},{\lambda }_{\text{off}}=4L_{\text{off}},{\lambda }_{\text{g}}=20L_{\text{g}}$ and ${\lambda }_{\text{deg}}=L_{\text{deg}}$. This setting implies the average time between successive reactions is kept fixed by scaling ${\lambda }_i$ appropriately with $L_i$.