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Abstract
Enzyme kinetic parameters have been estimated using MATLAB software via the Wilkinson non-linear regression technique. The MATLAB script file written to implement this technique is short and very straightforward. Several software tools are commercially available for this purpose, with many graphical user interface (GUI) features. A routine use of these packages might offer immediate satisfaction of interactive hands-on experience; but in some cases the researcher might wish to write his/her own code and compare the results for further confirmation. Today MATLAB is in use in almost all the schools and laboratories as a standard software tool. So this paper is aimed at helping enzyme researchers to make use of this powerful software for estimation of parameters. It enables the incorporation of the analytical steps behind parameter estimation in an easy-to-follow manner and furnishes better visualization.
Highlights
Over the past several years, different enzyme reactions governed by different equations have been identified in the field of biochemistry
This paper provides the mathematical expressions needed in non-linear regression for four types of enzyme reactions and suggests the use of MATLAB
The elements of various vectors and matrices are explicitly given for the convenience of programming in MATLAB
Summary
Over the past several years, different enzyme reactions governed by different equations have been identified in the field of biochemistry. The nonlinearity in the functional expression for the reaction rate, in terms of substrate concentration and other parameters, makes the parameter estimation problem difficult Graphical techniques such as Lineweaver-Burk’s method and the use of Dixon plot to estimate parameters [5]-[7] were in vogue for some time. These methods rely on linearizing the Michaelis-Menten equation in the case of simple enzyme reactions. For complex enzyme reactions, such techniques do not furnish reliable results This has prompted Wilkinson to propose non-linear regression for the estimation of enzyme parameters [8]. Numerous software packages have been developed [10]-[11] to perform parameter estimation interactively. In this paper we shall discuss the basic principle behind nonlinear regression, and supplement it with simulation examples
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