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. Author manuscript; available in PMC: 2020 Nov 21.
Published in final edited form as: J Theor Biol. 2019 Jan 5;481:28–43. doi: 10.1016/j.jtbi.2019.01.005

Figure 4: A graphical comparison of the composite and numerical solutions for the time course of the Michaelis–Menten reaction (12).

Figure 4:

The solid black curve is the numerical solution to (13a)(13b). The unfilled circles mark the composite solution (33). The initial concentrations and rate constants used in the numerical simulation are: k1 = 1, k2 = 1, k−1 = 1, e10=1 and s10=100 (units have been omitted). All approximations have been scaled by their numerically-obtained maximum values, and time has been mapped to the t scale: t(t) = 1 – 1/ln[t + exp(1)].