NDLI: Optimal control of a viral disease

Content Provider	IEEE Xplore Digital Library
Author	Stengel, R.F. Ghigliazza, R. Kulkarni, N. Laplace, O.
Copyright Year	2001
Description	Author affiliation: Dept. of Mech. & Aerosp. Eng., Princeton Univ., NJ, USA (Stengel, R.F.)
Abstract	Treatment of a viral disease process is interpreted as the optimal control of a dynamic system. Evolution of the disease is characterized by a nonlinear, fourth-order ordinary differential equation that describes concentrations of pathogenic antigens (or pathogens), plasma cells, and antibodies, as well as a numerical indication of patient health. The dynamic equations are controlled by therapeutic agents that affect the rate of change of system variables. Control histories that minimize a quadratic cost function are generated by numerical optimization over a fixed time interval, given otherwise lethal initial conditions. Tradeoffs between cost function weighting of pathogens, organ health, and use of therapeutics are evaluated. Optimal control solutions that defeat the virus and preserve organ health are demonstrated for individual and combined therapies. It is shown that control theory can point the way toward new protocols for treatment and cure of human diseases.
Sponsorship	American Autom. Control Council
Starting Page	3795
Ending Page	3800
File Size	646838
Page Count	6
File Format	PDF
ISBN	0780364953
ISSN	07431619
DOI	10.1109/ACC.2001.946229
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Optimal control Diseases Pathogens Nonlinear dynamical systems Cost function Differential equations Plasmas Cells (biology) Nonlinear equations Control systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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