Figure 8.

The BoAp of the silenced state shows a biphasic behaviour when the methylation cycle transitions from slow to fast, where R defined as the methylation association rate R = $\frac{\gamma }{\theta }$. The plot shows the BoAp while $\gamma$ is increased with a fixed methylation ratio, i.e., $\theta$ is increased so as to keep the ratio R constant. The system loses bistability when R exceeds 30. The kinetic rate parameters used are: $K_O$ = 0.3, $K_{nt}$ = 0.2, $K_d$ = 0.1, $a$= 1, $a_{nt}$ = 100, $a_O$ = 100, ${\alpha }_T$ = 1, ${\alpha }_O$ = 1, ${\alpha }_N$ = 1, $\delta$ = 1, $R\in \{0.01,0.1,1,10,20,30\}$, $\gamma \in [{10}^{-2},{10}^2]$