Figure 3.

An effective telegraph model (given by reaction scheme (11)) approximates the distribution of mRNA numbers of the multiscale model. (A) Hellinger distance (HD) between steady-state distributions of mRNA numbers for the effective telegraph model and the multiscale model as a function of ρ and λ with σ_u = 0.2, σ_b = 0.1, and d = 1. The discrepancy between the two distributions grows as ρ and λ approach the line ρ = λ. (B) Shown is the time-dependent distributions for Point I in (A) (the point with the largest HD) predicted by the effective model compared to those computed by the SSA for the multiscale model. (C) Heat map of HD between both distributions as a function of σ_b and σ_u with ρ = λ = 23 and d = 1. (D) Stochastic bifurcation diagram for the number of modes of the steady-state distributions predicted by the two models. The small dark blue region is where modality of both models disagree. Insets show distributions corresponding to the points marked in (C and D). To see this figure in color, go online.