Article citationsMore>>

Lin, C.C. and Segel, L.A. (1988) Mathematics Applied to Deterministic Problems in the Natural Sciences. SIAM Classics in Applied Mathematics, New York.
https://doi.org/10.1137/1.9781611971347

has been cited by the following article:

• 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.