Title

Optimal Multi-Therapeutic HIV Treatment Using a Global Optimal Switching Scheme

Abstract

The problem of multi-therapeutic HIV treatment is posed in this study as a switching problem to find the optimal switching time between the different therapies. To solve the optimal switching problem with nonlinear subsystems an algorithm is developed for learning the cost-to-go as a function versus different switching times and different initial conditions. Once the function is obtained in a closed form, finding optimal switching time for every given initial condition reduces to a function optimization. Through numerical simulations of a model for the HIV problem, the proposed algorithm is shown to be a useful tool for solving this class of problems.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Optimal Switching; HIV Treatment; Neural Network

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Elsevier, All rights reserved.


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