Fractional Modelling of H 2 O 2 -Assisted Oxidation by Spanish broom peroxidase

Vinh Quang Mai and Thái Anh Nhan ()
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Vinh Quang Mai: Department of Mathematics, Thu Dau Mot University, Thu Dau Mot 820000, Binh Duong, Vietnam
Thái Anh Nhan: Department of Mathematics, Menlo College, 1000 El Camino Real, Atherton, CA 94027, USA

Mathematics, 2024, vol. 12, issue 9, 1-14

Abstract: The H 2 O 2 -assisted oxidation by a peroxidase enzyme takes place to help plants maintain the concentrations of organic compounds at physiological levels. Cells regulate the oxidation rate by inhibiting the action of this enzyme. The cells use two inhibitory processes to regulate the enzyme: a noncompetitive substrate inhibitory process and a competitive substrate inhibitory process. Numerous applications of peroxidase have been developed in clinical biochemistry, enzyme immunoassays, the treatment of waste water containing phenolic compounds, the synthesis of various aromatic chemicals, and the removal of peroxide from industrial wastes. The kinetic mechanism of the Spanish broom peroxidase enzyme is a Ping Pong Bi Bi mechanism with the presence of competitive inhibition by substrates. A mathematical model may help in identifying the key mechanism from amongst a set of competing mechanisms. In this study, we developed a fractional mathematical model to describe the H 2 O 2 -supported oxidation by the enzyme Spanish broom peroxidase . Numerical simulations of the model produced results that are consistent with the known behaviour of Spanish broom peroxidase . Finally, some future investigations of the study are briefly indicated as well.

Keywords: competitive inhibition; noncompetitive inhibition; enzyme; fractional-order derivative; mathematical model; peroxidase (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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