title: Time-dependent closed form solutions for fully competitive enzyme reactions.
abstract: An analytic formalism developed earlier to describe the time evolution of the basic enzyme reaction is extended to fully competitive systems. Time-dependent closed form solutions are derived for the three nominal cases of competition: even, slow and fast inhibitors, allowing for the first time the complete characterization of the reactions. In agreement with previous work, the time-independent Michaelis-Menten approach is shown to be inaccurate when a fast inhibitor is present. The validity of the quasi-steady-state approximation on which the present framework is based is also revised.
authors.affiliation: Centre for Mathematical Biology, Mathematical Institute, Oxford, U.K. schnell@maths.ox.ac.uk
authors.forename: S
authors.initials: S
authors.lastname: Schnell
authors.forename: C
authors.initials: C
authors.lastname: Mendoza
mesh_terms: D004791:Enzyme Inhibitors / Q000737:chemistry*; D004798:Enzymes / Q000737:chemistry*; D007700:Kinetics; D008956:Models, Chemical; D013997:Time Factors
chemical_list: D004791:Enzyme Inhibitors; D004798:Enzymes