title: The Michaelis-Menten equation: computing substrate concentration as a function of time without restrictions on the initial conditions.
abstract: 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.
authors.affiliation: Muséum National d'Histoire Naturelle, URA 401 CNRS, Paris, France.
authors.forename: M
authors.initials: M
authors.lastname: Cheminant
authors.forename: R
authors.initials: R
authors.lastname: Labia
mesh_terms: D000465:Algorithms; D004798:Enzymes / Q000378:metabolism*; D007700:Kinetics; D008432:Mathematical Computing; D015219:Substrate Cycling; D013379:Substrate Specificity
chemical_list: D004798:Enzymes