Mathematical Biosciences and Engineering, 2012, 9(4): 899-914. doi: 10.3934/mbe.2012.9.899.

Primary: 49J15, 92C50; Secondary: 65K05, 65K10.

Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach

1. Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712
2. School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907


In this study, the treatment of Human Immunodeficiency Virus (HIV) infection is investigated through an optimal structured treatment interruption (STI) schedule of two classes of antiretroviral drugs, mainly, reverse transcriptase inhibitors and protease inhibitors. An STI treatment strategy may be beneficial in lowering the risk of HIV mutating to drug-resistant strains, and could provide patients with respite from toxic side effects of HAART. A shorter treatment period is considered compared to previous studies and the solution to the HIV STI problem is obtained via the Finite Set Control Transcription (FSCT) formulation. The FSCT formulation offers a unique approach for handling multiple independent decision variables simultaneously, and, as is shown by the results of this study, is well-suited for an effective treatment of the optimal STI problem. The results obtained in the present investigation demonstrate that immune boosting and subsequent natural suppression of the viral load are possible even when a reduced STI therapy treatment duration is in consideration.
  Article Metrics

Keywords Hybrid optimal control; drug therapy; structured treatment interruption.

Citation: Divya Thakur, Belinda Marchand. Hybrid optimal control for HIV multi-drug therapies: A finite set control transcription approach. Mathematical Biosciences and Engineering, 2012, 9(4): 899-914. doi: 10.3934/mbe.2012.9.899


This article has been cited by

  • 1. Helen E Benson, Steven Watterson, Joanna L Sharman, Chido P Mpamhanga, Andrew Parton, Christopher Southan, Anthony J Harmar, Peter Ghazal, Is systems pharmacology ready to impact upon therapy development? A study on the cholesterol biosynthesis pathway, British Journal of Pharmacology, 2017, 174, 23, 4362, 10.1111/bph.14037
  • 2. Ricardo Aguilar-López, Rigel Valentín Gómez-Acata, Gerardo Lara-Cisneros, Ricardo Femat, Nonlinear and Robust Control Strategy Based on Chemotherapy to Minimize the HIV Concentration in Blood Plasma, Journal of Control Science and Engineering, 2016, 2016, 1, 10.1155/2016/6284574

Reader Comments

your name: *   your email: *  

Copyright Info: 2012, , licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved