Optimal periodic control of a drug delivery system

Subbarao Varigonda, Tryphon T. Georgiou, Ronald A. Siegel, Prodromos Daoutidis

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

Administration of certain drugs at a steady rate results in a deterioration of the drug effect due to a phenomenon known as tolerance. Periodic drug delivery is an attractive option for maximizing the effect of drugs exhibiting tolerance. In this paper, periodic drug infusion strategies for maximizing an averaged measure of the drug effect are investigated. A simple pharmacokinetic-pharmacodynamic model of a system exhibiting tolerance is considered and optimal periodic control theory is employed. The regions in the parametric space where periodic infusion gives better drug effect than steady infusion are characterized using the so-called π test. The optimal drug delivery strategy obtained using two different computational approaches are presented for a representative set of parameter values and insight is provided into the results. The first method, proposed by the authors, is based on the notion of differential flatness and the second, is based on the standard shooting method for dynamic optimization problems.

Original languageEnglish (US)
Pages (from-to)989-994
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume37
Issue number9
StatePublished - 2004
Event7th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS 2004 - Cambridge, United States
Duration: Jul 5 2004Jul 7 2004

Bibliographical note

Publisher Copyright:
© IFAC Dynamics and Control of Process Systems, Cambridge, Massachusetts, USA, 2004

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