Explicit Solutions for Real-time Reversible Inhibition Kinetics using Lambert W Function: Towards Progress Curve Analysis
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Date
2022-12
Journal Title
Journal ISSN
Volume Title
Publisher
Tanzania Journal of Science
Abstract
Accurate estimation of kinetic parameters is challenging due to the dynamics and mathematical
nature of the chemical systems. This paper presents simple, yet efficient closed-form solutions
for the enzymatic conversion of the substrate to the product in real-time derived using the
Lambert W function. The real values of the Lambert W function were calculated from the
Lambert package as implemented in MATLAB. The expressions exhibit remarkable robustness
in estimating the parameters for randomized data at 1% to 4% variation in noise levels.
Furthermore, unlike the initial rates method, the expressions estimate chemical kinetic
parameters utilizing a full range of experimental data, thus minimizing the risk of missing
information that would be detected at an extended time-span. Thus, the implementation of
closed-form solutions presented in this paper for the estimation of kinetic parameters
eliminates common pitfalls imposed by the initial rates and double reciprocal methods.
Description
Keywords
Enzyme, Lambert W function, Reversible inhibition, Closed-form solutions