fulltext.study @t Gmail

On the Lambert W function and its utility in biochemical kinetics

Paper ID Volume ID Publish Year Pages File Format Full-Text
3602 177 2012 8 PDF Available
Title
On the Lambert W function and its utility in biochemical kinetics
Abstract

This article presents closed-form analytic solutions to three illustrative problems in biochemical kinetics that have usually been considered solvable only by various numerical methods. The problems solved concern two enzyme-catalyzed reaction systems that obey diversely modified Michaelis–Menten rate equations, and biomolecule surface binding that is limited by mass transport. These problems involve the solutions of transcendental equations that include products of variables and their logarithms. Such equations are solvable by the use of the Lambert W(x) function. Thus, these standard kinetics examples are solved in terms of W(x) to show the applicability of this commonly unknown function to the biochemical community. Hence, this review first of all describes the mathematical definition and properties of the W(x) function and its numerical evaluations, together with analytical approximations, and then it describes the use of the W(x) function in biochemical kinetics. Other applications of the function in various engineering sciences are also cited, although not described.

► This review describes the Lambert W function, and its use in biochemical kinetics. ► Numerical evaluations of W, together with analytical approximations, are presented. ► Three illustrative problems that are solvable by the use of W are demonstrated. ► The utility of W in various engineering sciences are also cited but not described.

Keywords
Biokinetics; Biosensors; Enzymes; Integrated rate equation; Kinetic parameters; Lambert W function
First Page Preview
On the Lambert W function and its utility in biochemical kinetics
Get Full-Text Now
Don't Miss Today's Special Offer
Price was $35.95
You save - $31
Price after discount Only $4.95
100% Money Back Guarantee
Full-text PDF Download
Online Support
Any Questions? feel free to contact us
Publisher
Database: Elsevier - ScienceDirect
Journal: Biochemical Engineering Journal - Volume 63, 15 April 2012, Pages 116–123
Authors
,
Subjects
Physical Sciences and Engineering Chemical Engineering Bioengineering
Get Full-Text Now
Don't Miss Today's Special Offer
Price was $35.95
You save - $31
Price after discount Only $4.95
100% Money Back Guarantee
Full-text PDF Download
Online Support
Any Questions? feel free to contact us