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@article{Deogratias_Madirisha_Jacob_2022, title={Explicit Solutions for Real-time Reversible Inhibition Kinetics using Lambert W Function: Towards Progress Curve Analysis}, volume={48}, url={https://tjs.udsm.ac.tz/index.php/tjs/article/view/1508}, DOI={10.4314/tjs.v48i4.15}, abstractNote={<p>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 <em>W </em>function. The real values of the Lambert <em>W </em>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.</p> <p><strong>Keywords:</strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Enzyme, Lambert <em>W</em> function, Reversible inhibition, Closed-form solutions</p>}, number={4}, journal={Tanzania Journal of Science}, author={Deogratias, Geradius and Madirisha , Makungu and Jacob, Fortunatus}, year={2022}, month={Dec.}, pages={886–896} }