Fig. 8
From: An oscillating reaction network with an exact closed form solution in the time domain
Sensitivity analysis of 2SHO. These plots show the effect of variability in the values of the parameters \(k_1, k_2, k_4, k_5, k_6, x_1(0), x_2(0)\) on the ability to implement a 2SHO in a biochemical system. (\(k_3 = k_1 + k_2\) by the design of the biochemical system.) Parameter values are drawn from a truncated normal distribution (no negative values) with n = 400 and whose mean is the desired value of the parameter and whose (normalized) standard deviation (coefficient of variation) is representative of empirical estimates of kinetic constants. Three kinds of metrics are displayed. Feasibility, chart (a), is the probability that a feasible oscillator results (e.g., no negative concentrations). Errors in expected values of OCs are relative to the desired value in charts (b, d, e, f, h). Discrepancies in phase, charts (c, g), are in units of radians. Error bars indicate ± two standard deviations