Time-dependent reaction rates (a–c) and regulation coefficients (d–f) with respect to the three reactions in the metabolic pathway. In (a)–(c), the time-dependent reaction rates estimated from GP regression are shown in blue; for comparison, the results based on ODE model simulations are shown in red. In (d)–(f), metabolic regulation coefficients, , are shown in blue, and hierarchical regulation coefficients are in red. Results based on ODE model simulations are shown as dotted lines; results based on nonparametric GP regression are shown as a solid line, with confidence intervals indicated by the bands. To see this figure in color, go online.