Explicit analytic approximations for time-dependent solutions of the generalized integrated Michaelis–Menten equation

Various explicit reformulations of time-dependent solutions for the classical two-step irreversible Michaelis–Menten enzyme reaction model have been described recently. In the current study, I present further improvements in terms of a generalized integrated form of the Michaelis–Menten equation for computation of substrate or product concentrations as functions of time for more real-world, enzyme-catalyzed reactions affected by the product. The explicit equations presented here can be considered as a simpler and useful alternative to the exact solution for the generalized integrated Michaelis–Menten equation when fitted to time course data using standard curve-fitting software.