17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper FrA06.5

Tran, Hien (North Carolina State Univ.), Banks, H.T. (North Carolina State Univ.), David, John (North Carolina State Univ.), Toivanen, J.A. (North Carolina State Univ.), Kwon, Hee-Dae (Inha Univ.)

Dynamic Multidrug Therapies for HIV: Feedback and Structured Treatment Interruption Control Approaches

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-V: Optimization and Numerical Implementation" (FrA06), Friday, July 28, 2006, 12:05−12:30, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 24, 2024

Keywords Biological systems control, Control of nonlinear systems, Optimal control

Abstract

This paper presents an overview of our effort on developing optimal dynamic multidrug therapies for human immunodeficiency virus (HIV) infection. We derived HIV therapeutic strategies by formulating and analyzing optimal control problems using two types of dynamic treatments representing reverse transcriptase (RT) inhibitors and protease inhibitors (PIs). Techniques and ideas from control theory were employed to derive continuous as well as suboptimal structured treatment interruption therapy protocols. Finally, we discuss our future research into the use of robust control theory to design treatment scheduling in the presence of imperfect models, uncertain model parameters, and measurement errors.