Figure 8: A graphical illustration of the accuracy of the composite solutions for the auxiliary reaction mechanism (47)—(48).

The solid black curve is the numerical solution to (49c), and the unfilled circles mark the composite solution (84a). The constants (without units) used in the numerical simulation are: $e_1^0=1$, $s_1^0=1000$, $e_2^0=100$, k₁ = 1, k₂ = 1, k₃ = 1, k₋₃ = 1, k₄ = 2 and k₋₁ = 1. Time has been mapped to the t_∞ scale: t_∞(t) = 1 – 1/ln[t + exp(1)]. The substrate concentration has been scaled by its maximum value.