Equations for progress curves of some kinetic models of enzyme-single substrate-single slow binding modifier system.

A procedure is described by means of which the equations for progress curves for the kinetic models that include fast and slow reaction steps can be derived. It is based on combined assumptions of equilibrium and steady-state and uses Laplace transformation for solving the systems of differential equations. The progress curve equations and the significance of the corresponding parameters are given for some most frequently occurring models describing the influence of a slow binding modifier on a single substrate enzyme reaction.