A Mathematical Model for the Effect of Enzymes on Metabolism of Pharmacologically Active Substances

• 作者: Donald A. Drew
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Mathematical Model ADDICTION METABOLISM
• 年，卷（期）: yysxyw_2021,（1）
• 页码范围: 1-17
• 页数: 17页
• 分类号: O17

摘要

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.