Figure 2 of Lamb, Mol Vis 2016; 22:674-696.


Figure 2. Results of simulation of Model 1 (Graded R* shut-off model). The equations for Model 1 were simulated numerically using stochastic parameters n = 6, M = 3, νmax = 80 s−1, μ = 20 s−1, and ωP = ωG = 1 (Table 1); the flash duration was set to 10 ms. The downstream parameters are given in Table 2, with αmax = 150 µM/s, βDark = 4 s−1, and βsub = 0.063 s−1. The number of simulations of R* activity in panels A and B was 106, while for the subsequent panels the downstream reactions were integrated using the first 50 R* simulations (C), the first 200 R* simulations (D), or the first 105 R* simulations (E and F). A: Distribution of times to Arr binding for the 106 simulations (blue trace). The red trace is the corresponding curve from the simulations of Gross et al. [11] plotted in their illustration 6E. B: Mean R*(t) time course for the 106 simulations (blue trace). The red trace is the corresponding curve from the simulations of Gross et al. [11] plotted in their Supplementary illustration S2C. C: The first 50 simulated SPRs. D: Sample “outlier” SPR responses, selected as described in the text from the first 200 R* simulations. Blue: The 10 SPRs with the longest times in state R*·P(2). Red: The 10 SPRs with the longest time-to-peak. The horizontal dotted lines at the right indicate the steady-state levels reached with very long dwell times in each of the states R*·P(n) . These levels have been numbered for n = 1 – 4, but are not numbered for 5 or 6. The level for state R*·P(0) is above the top of the vertical scale, at 0.114. E: Time course of the mean (blue) and SD (red) for the ensemble of 105 simulated SPRs. F: Probability distribution of the peak amplitudes for the 105 simulated SPRs (blue). The red circles show the corresponding histogram plotted by Gross et al. [11] for their simulations in their illustration 6E.