Mathematical modeling of concentrations of phenolic compounds in Hibiscus sabdariffa using the Lagrange polynomial. A comparative analysis with experimental data
DOI:
https://doi.org/10.59814/resofro.2024.4(2)213Keywords:
Prediction, mathematical model, polyphenols, jamaicaAbstract
Mathematical modeling constitutes a field of research of great relevance in contemporary science. The objective of the present study was to develop a mathematical model based on the Lagrange polynomial to describe the variation of the concentrations of phenolic compounds in Hibiscus sabdariffa. Ultrasound-assisted extraction was applied to obtain aqueous extracts of hibiscus flowers, and the content of phenolic compounds was determined by the Folin-Ciucalteu method; these results were used to determine the Lagrange polynomial coefficients. The mathematical model was validated by comparing experimental and predicted data, and the Pearson correlation coefficient (r) was calculated to determine the strength of the relationship between the laboratory results and those predicted by the mathematical model. The mathematical model obtained was of grade 6 and the Pearson correlation coefficient was 0.999, which indicated the high capacity of the model to cover the entire range of the experimental data. The present study highlights the crucial relevance of mathematical models in the predictive capacity of experimental data, even in contexts where the factors have not been studied.
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Copyright (c) 2024 Sting Brayan Luna-Fox, Jhoeel Hernán Uvidia-Armijo, Néstor Augusto Estrada-Brito, Luis Alberto Uvidia-Armijo
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
