Analytical Reduction of Nonlinear Metabolic Networks Accounting for Dynamics in Enzymatic Reactions

Figure 4

Dynamics of the toy network represented in Figure 3. The functions represent the metabolite concentrations in units (g·L⁻¹). The numerical solution of the original system (9) is depicted by the green line; the reduced system obtained by the method exposed in this work (71), by the blue dashed line; the supposed data with white noise (73), by green points; and the calibrated system (62)–(66) with the estimated parameters in Table 1 and Table 2, by the red line. The parameters considered are in Table 3 and Table 4. As expected, the concentrations of the metabolites in QSS are one order of magnitude lower than those of the metabolites in the slow part.