title: Perturbation theory in the catalytic rate constant of the Henri-Michaelis-Menten enzymatic reaction.
abstract: The Henry-Michaelis-Menten (HMM) mechanism of enzymatic reaction is studied by means of perturbation theory in the reaction rate constant k                 (2) of product formation. We present analytical solutions that provide the concentrations of the enzyme (E), the substrate (S), as well as those of the enzyme-substrate complex (C), and the product (P) as functions of time. For k                 (2) small compared to k                 (-1), we properly describe the entire enzymatic activity from the beginning of the reaction up to longer times without imposing extra conditions on the initial concentrations E                 (                   o                 ) and S                 (                   o                 ), which can be comparable or much different.
authors.affiliation: Dipartimento di Chimica "G. Ciamician", Universita di Bologna, Bologna, Italy. ebakalis@gmail.com
authors.forename: Evangelos
authors.initials: E
authors.lastname: Bakalis
authors.forename: Marios
authors.initials: M
authors.lastname: Kosmas
authors.forename: Emmanouel M
authors.initials: EM
authors.lastname: Papamichael
mesh_terms: D002384:Catalysis; D004798:Enzymes / Q000737:chemistry* / Q000378:metabolism*; D007700:Kinetics; D008956:Models, Chemical; D009716:Numerical Analysis, Computer-Assisted
chemical_list: D004798:Enzymes