Reduction of multiscale stochastic biochemical reaction networks using exact moment derivation
Fig 2
EMB model provides much more accurate approximation of the original feedforward network model than AMB model.
(A-B) Trajectories of original full model with ϵ = 0.01 and the EMB model (A) and the AMB model (B). The lines and colored ranges indicate the mean of X4 and standard deviations of X4 from their mean, respectively. Histograms represent distributions of X4 at the steady state. Here, X1(0) = α1/β1, X2(0) = X3(0) = X4(0) = 0. Here, 104 stochastic simulations were performed. (C-D) Mean (C) and standard deviation (D) of stationary distribution (t = 8) simulated with the full model with varying ϵ = 0.1, 0.05, 0.01, the EMB model and the AMB model. (E-F) As β1 = α1 increases, the EMB model, but not the AMB model, predicts that the mean and the CV of S4 decrease, which is consistent with the simulations of the original full model.