HIV Model Analysis Under Optimal Control Based Treatment Strategies
نویسندگان
چکیده
In this paper 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.
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