Drug Elimination in Two-Compartment Pharmacokinetic Models with Nonstandard Finite Difference Approach

We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. We apply the NS...

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Bibliographic Details
Published inIAENG international journal of applied mathematics Vol. 50; no. 2; pp. 1 - 7
Main Authors Sa'adah, A M Niswatus, Widodo, Indarsih
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 01.06.2020
Subjects
Drug delivery systems
Finite difference method
Mathematical analysis
Model accuracy
Nonlinear differential equations
Nonlinear equations
Ordinary differential equations
Pharmacokinetics
Pharmacology
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Summary:We use the nonstandard finite difference (NSFD) method to solve the two-compartments pharmacokinetic models of drug elimination. Pharmacokinetic models are commonly used to predict drug concentrations in the body. These models are modeled by nonlinear ordinary differential equations. We apply the NSFD rules, based on Mickens' idea of transferring nonlinear models into discrete schemes. The method used was compared with other established methods to verify its efficiency and accuracy. Two-compartment pharmacokinetic models are considered for different routes of administration: I.V. bolus injection and I.V. bolus infusion.
ISSN:1992-9978
1992-9986