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

Author

Ali Heydari, Missouri University of Science and TechnologyFollow
S. N. Balakrishnan, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

A. Heydari and S. N. Balakrishnan, "Optimal Multi-Therapeutic HIV Treatment Using a Global Optimal Switching Scheme," Applied Mathematics and Computation, vol. 219, no. 14, pp. 7872 - 7881, Elsevier, Jan 2013.

The definitive version is available at https://doi.org/10.1016/j.amc.2013.01.070

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Optimal Switching; HIV Treatment; Neural Network

International Standard Serial Number (ISSN)

0096-3003

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Elsevier, All rights reserved.

Publication Date

01 Jan 2013