The Michaelis-Menten equation: computing substrate concentration as a function of time without restrictions on the initial conditions.

We describe a novel algorithm for enzyme kinetics following the Michaelis-Menten equation, with the particular aim of computing the substrate concentration as a function of time without restrictions on the initial conditions. This algorithm, named 'tangent exponential' was demonstrated to converge for all initial conditions when the initial substrate concentration is positive. When the data are close to the solution, a quadratic convergence was demonstrated.