Using the Lambert Function to Map Enzyme Kinetics

In an academic setting, enzyme kinetics are introduced by analysis of the initial rates using the Michalis-Menten model. To better understand enzyme kinetics, a complete time course analysis will provide a larger set of information. The use of the integrated form of the rate equation allows for a beginning glance at the mechanism of reaction. With this, the Lambert Ω function can be used to analyze the integrated rate equations. There are two different branches of the Lambert Ω function, a negative branch and a positive branch. For each branch there is a unique expanded series approximation used for analysis of data. This experiment will demonstrate how to use the integrated rate equations to determine which branch of the Lambert Ω function is best for analysis of a particular enzyme. Analysis of wheat germ acid phosphatase acting on para-nitrophenyl phosphate will be completed to show an example of how this application can be used.