Nonstandard finite difference method applied to a linear pharmacokinetics model

Oluwaseun Egbelowo, Charis Harley, Byron Jacobs

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We extend the nonstandard finite difference method of solution to the study of pharmacokinetic–pharmacodynamic models. Pharmacokinetic (PK) models are commonly used to predict drug concentrations that drive controlled intravenous (I.V.) transfers (or infusion and oral transfers) while pharmacokinetic and pharmacodynamic (PD) interaction models are used to provide predictions of drug concentrations affecting the response of these clinical drugs. We structure a nonstandard finite difference (NSFD) scheme for the relevant system of equations which models this pharamcokinetic process. We compare the results obtained to standard methods. The scheme is dynamically consistent and reliable in replicating complex dynamic properties of the relevant continuous models for varying step sizes. This study provides assistance in understanding the long-term behavior of the drug in the system, and validation of the efficiency of the nonstandard finite difference scheme as the method of choice.

Original languageEnglish
Article number40
JournalBioengineering
Volume4
Issue number2
DOIs
Publication statusPublished - Jun 2017
Externally publishedYes

Keywords

  • Intravenous bolus injection
  • Intravenous infusion
  • Nonstandard finite difference
  • Pharmacokinetic
  • Standard finite difference

ASJC Scopus subject areas

  • Bioengineering

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