NDLI: Sufficient conditions for optimality of controls in biomedical systems

Content Provider	IEEE Xplore Digital Library
Author	Ledzewicz, U. Schattler, H.
Copyright Year	2002
Description	Author affiliation: Dept. of Math. & Stat., Southern Illinois Univ., Edwardsville, IL, USA (Ledzewicz, U.)
Abstract	A general class of optimal control problems of Bolza type is considered which arise in mathematical models of biomedical systems when chemotherapy treatment protocols for a disease over a fixed interval are considered. The controls represent the dosages of drugs administered and in this paper an objective which is quadratic in the controls is analyzed. This choice leads to continuous optimal controls which alternate between values in the interior and on the boundary of the control set. Using the method of characteristics a local field of extremals is constructed around a reference trajectory and sufficient conditions for strong local minima are given. These conditions apply to several biomedical models of chemotherapy for diseases like cancer or HIV infections which have been considered in the literature before, but not in the context of sufficient conditions. The result is illustrated with a simulation of a three-compartment model for cancer chemotherapy.
Sponsorship	IEEE Control Syst. Soc
Starting Page	3524
Ending Page	3529
File Size	420935
Page Count	6
File Format	PDF
ISBN	0780375165
ISSN	01912216
DOI	10.1109/CDC.2002.1184421
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sufficient conditions Optimal control Control systems Diseases Cancer Mathematical model Medical treatment Protocols Drugs Context modeling
Content Type	Text
Resource Type	Article

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