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The integrated Michaelis-Menten rate equation: déjà vu or vu jàdé?

Authors :
Goličnik, Marko
Source :
Journal of Enzyme Inhibition & Medicinal Chemistry; Aug2013, Vol. 28 Issue 4, p879-893, 15p
Publication Year :
2013

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14756366
Volume :
28
Issue :
4
Database :
Complementary Index
Journal :
Journal of Enzyme Inhibition & Medicinal Chemistry
Publication Type :
Academic Journal
Accession number :
88937249
Full Text :
https://doi.org/10.3109/14756366.2012.688039