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TY - JOUR
AU - Deogratias, Geradius
AU - Madirisha , Makungu
AU - Jacob, Fortunatus
PY - 2022/12/30
Y2 - 2025/07/30
TI - Explicit Solutions for Real-time Reversible Inhibition Kinetics using Lambert W Function: Towards Progress Curve Analysis
JF - Tanzania Journal of Science
JA - Tanz. J. Sci.
VL - 48
IS - 4
SE - Articles
DO - 10.4314/tjs.v48i4.15
UR - https://tjs.udsm.ac.tz/index.php/tjs/article/view/1508
SP - 886-896
AB - <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> Enzyme, Lambert <em>W</em> function, Reversible inhibition, Closed-form solutions</p>
ER -