TITLE:
A Mathematical Model for the Effect of Enzymes on Metabolism of Pharmacologically Active Substances
AUTHORS:
Donald A. Drew
KEYWORDS:
Mathematical Model, Addiction, Metabolism
JOURNAL NAME:
Applied Mathematics,
Vol.12 No.1,
January
21,
2021
ABSTRACT: Addiction is a societal issue with many negative effects. Substances that cause addictive reactions are easily ingested and interact with some part of the neural pathway. This paper describes a mathematical model for the systemic level of a substance subject to degradation (via metabolism) and reversible binding to psychoactive sites. The model allows the determination of bound substance levels during the processing of a dose, and how the maximum level depends on system parameters. The model also allows the study of a particular periodic repetitive dosing described by a rapid ingestion if a dose is at constant intervals.