Exact and Approximate Solutions for the Decades-Old Michaelis-Menten Equation: Progress-Curve Analysis through Integrated Rate Equations

Autor/in	Golicnik, Marko
Titel	Exact and Approximate Solutions for the Decades-Old Michaelis-Menten Equation: Progress-Curve Analysis through Integrated Rate Equations
Quelle	In: Biochemistry and Molecular Biology Education, 39 (2011) 2, S.117-125 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1470-8175
DOI	10.1002/bmb.20479
Schlagwörter	Biochemistry; Kinetics; Equations (Mathematics); Data Analysis; Science Instruction; College Science + Suchen Sie Ihr Suchwort? Biochemie; Kinetik; Equations; Mathematics; Gleichungslehre; Auswertung; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht
Abstract	The Michaelis-Menten rate equation can be found in most general biochemistry textbooks, where the time derivative of the substrate is a hyperbolic function of two kinetic parameters (the limiting rate "V", and the Michaelis constant "K"[subscript M]) and the amount of substrate. However, fundamental concepts of enzyme kinetics can be difficult to understand fully, or can even be misunderstood, by students when based only on the differential form of the Michaelis-Menten equation, and the variety of methods available to calculate the kinetic constants from rate versus substrate concentration "textbook data." Consequently, enzyme kinetics can be confusing if an analytical solution of the Michaelis-Menten equation is not available. Therefore, the still rarely known exact solution to the Michaelis-Menten equation is presented here through the explicit closed-form equation in terms of the Lambert "W(x)" function. Unfortunately, as the "W(x)" is not available in standard curve-fitting computer programs, the practical use of this direct solution is limited for most life-science students. Thus, the purpose of this article is to provide analytical approximations to the equation for modeling Michaelis-Menten kinetics. The elementary and explicit nature of these approximations can provide students with direct and simple estimations of kinetic parameters from raw experimental time-course data. The Michaelis-Menten kinetics studied in the latter context can provide an ideal alternative to the 100-year-old problems of data transformation, graphical visualization, and data analysis of enzyme-catalyzed reactions. Hence, the content of the course presented here could gradually become an important component of the modern biochemistry curriculum in the 21st century. (Contains 2 tables and 3 figures.) (As Provided).
Anmerkungen	John Wiley & Sons, Inc. Subscription Department, 111 River Street, Hoboken, NJ 07030-5774. Tel: 800-825-7550; Tel: 201-748-6645; Fax: 201-748-6021; e-mail: subinfo@wiley.com; Web site: https://secure.interscience.wiley.com/cgi-bin/jhome/112782101
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10