Author/Editor     Goličnik, Marko
Title     The integrated Michaelis-Menten rate equation: déja` vu or vu ja`dé?
Type     članek
Source     J Enzyme Inhib Med Chem
Publication year     2012
Language     eng
Abstract     A recent article of Johnson and Goody (Biochemistry, 2011;50:8264-8269) described the almost-100-years-old paper of Michaelis and Menten. Johnson and Goody translated this classic article and presented the historical perspective to one of incipient enzyme-reaction data analysis, including a pioneering global fit of the integrated rate equation in its implicit form to the experimental time-course data. They reanalyzed these data, although only numerical techniques were used to solve the model equations. However, there is also the still little known algebraic rate-integration equation in a closed form that enables direct fitting of the data. Therefore, in this commentary, I briefly present the integral solution of the Michaelis-Menten rate equation, which has been largely overlooked for three decades. This solution is expressed in terms of the Lambert W function, and I demonstrate here its use for global nonlinear regression curve fitting, as carried out with the original time-course dataset of Michaelis and Menten.
Descriptors     ENZYMES
KINETICS
NONLINEAR DYNAMICS
SUCROSE
HYDROLYSIS
CATALYSIS
FRUCTOSE
BINDING SITES
MODELS, THEORETICAL