IJPAM: Volume 57, No. 3 (2009)
IMPLEMENTATION UNDER OPTIMAL CONTROL
BASED TREATMENT STRATEGIES




North Carolina State University
Raleigh, NC 27695-8205, USA

Abstract.This paper illustrates the methodology necessary to ultimately
implement the feedback control of HIV infection. To that end we
describe a model of the immunologic response of the human
immunodeficiency virus (HIV) in individuals. We illustrate how
optimal control methodology can produce a drug dosing strategy and
how this treatment strategy possesses features of structured
treatment interruptions (STI). We then perform a sensitivity
analysis of the model, illustrating use of both classical
sensitivity functions and generalized sensitivity functions. We
also investigate the use of stochastic estimation to develop
filters and estimate states and parameters from noisy data. In the
course of this analysis, we show that automatic differentiation
(AD) can be a powerful tool in this type of analysis.
Received: November 12, 2009
AMS Subject Classification: 92C50, 92C60
Key Words and Phrases: HIV model, control, sensitivity, extended Kalman filter
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 3