Resolution:
## Figure 7.
Stochastic focusing. The first panel from the top compares the time evolution of product molecules P obtained with different methods: the black line represents the solution of ODE model
(64) for P; the blue solid line and blue dashed lines are the solutions of the moment-based
model (65) for μand _{P }μ± _{P }σ, respectively. The second panel indicates that the stochastic simulations without
propensity adjustment (blue error bar) diverge from the prediction by the ODE model
(64) (black line). The third panel shows the propensity adjustment function _{P}paf4(t) = exp(-fcov [log _{I }f_{S }I(t), log S(t)]) for the reaction . The bottom panel demonstrates that the propensity adjustment function paf_{4 }achieves convergence between the stochastic simulation and the ODE model (64) (black
line): the blue error bars were computed from 100 independent stochastic simulations
with propensity adjustment paf_{4}. The simulation parameters are (i(0), p(0), s(0), k_{1}, k_{2}, k_{3}, k_{4}, k_{5}, k_{6}, f, _{I}f) = (0, 10, 100, 10_{S}^{4}, 10^{3}, 1, 9.9 × 10^{3}, 10^{4}, 10^{3}, 1.1, 0.9); at t = 0.1, the value of k_{5 }changes from 10^{4 }to 0.5 ×10^{4}.
Wu |