A simple analytical solution to the three-compartment pharmacokinetic model suitable for computer-controlled infusion pumps
- 1 June 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Biomedical Engineering
- Vol. 38 (6), 522-525
- https://doi.org/10.1109/10.81576
Abstract
The disposition of many drugs following an intravenous bolus injection can be described by a biexponential or triexponential equation. Computer-controlled infusion pumps have been developed which dose intravenous drugs based on models of drug disposition. These pumps can maintain steady plasma drug concentrations and facilitate controlled increases and decreases in drug concentration, enhancing titration of intravenous drugs. Several investigators have proposed analytical solutions to the biexponential and triexponential disposition functions for use in computer-controlled infusion pumps. Because of the complexity of these analytical solutions, other investigators have used numerical techniques to approximate the analytical solution. The authors have derived an extremely simple analytical solution to polyexponential disposition functions. This solution simplifies both the prediction of the plasma drug concentration by a computer-controlled infusion pump and the stepwise calculation of the infusion rate required to maintain constant plasma drug concentrations.Keywords
This publication has 15 references indexed in Scilit:
- Pharmacokinetics of Fentanyl Administered by Computer-controlled Infusion PumpAnesthesiology, 1990
- Algorithm for optimal linear model-based control with application to pharmacokinetic model-driven drug deliveryIEEE Transactions on Biomedical Engineering, 1990
- Testing Computer-controlled Infusion Pumps by SimulationAnesthesiology, 1988
- Decreased Fentanyl and Alfentanil Dose Requirements with Age. A Simultaneous Pharmacokinetic and Pharmacodynamic EvaluationSurvey of Anesthesiology, 1987
- AN EVALUATION OF THE ACCURACY OF PHARMACOKINETIC DATA FOR THE COMPUTER ASSISTED INFUSION OF ALFENTANILBritish Journal of Anaesthesia, 1985
- Computer-assisted Continuous Infusions of Fentanyl during Cardiac AnesthesiaAnesthesiology, 1985
- Computer-Assisted Continuous Infusion of the Intravenous Analgesic Fentanyl During General Anesthesia-An Interactive SystemIEEE Transactions on Biomedical Engineering, 1985
- Segmentally Continuous input Functions in Linear Multicompartment SystemsJournal of Pharmaceutical Sciences, 1985
- Simulation package for multiple intravenous infusions of two compartment pharmacokinetic drugsInternational Journal of Bio-Medical Computing, 1981
- Simultaneous modeling of pharmacokinetics and pharmacodynamics: Application to d‐tubocurarineClinical Pharmacology & Therapeutics, 1979