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Chun, T., Carruth, L., Finzi, D., Shen, X., Digiuseppe, J., Taylor, H., Hermankova, M., Chadwick, K., Margolick, J., Kuo, Y., Brookmeyer, R., Zeiger, M., Barditch-Crovo, P. and Siliciano, R. (1997) Quantification of Latent Tissue Reservoirs and Total Body Viral Load in HIV-1 Infection. Nature, 387, 183-188.
http://dx.doi.org/10.1038/387183a0

has been cited by the following article:

• TITLE: An Optimal Control Approach to HIV Immunology

  AUTHORS: Edilson F. Arruda, Claudia M. Dias, Camila V. de Magalhães, Dayse H. Pastore, Roberto C. A. Thomé, Hyun Mo Yang

  KEYWORDS: HIV, Mathematical Modelling, Optimal Control, Pontryagin’s Maximum Principle

  JOURNAL NAME: Applied Mathematics, Vol.6 No.6, June 15, 2015

  ABSTRACT: This paper introduces a mathematical model which describes the dynamics of the spread of HIV in the human body. This model is comprised of a system of ordinary differential equations that involve susceptible cells, infected cells, HIV, immune cells and immune active cells. The distinguishing feature in the proposed model with respect to other models in the literature is that it takes into account cells that represent two distinct mechanisms of the immune system in the defense against HIV: the non-HIV-activated cells and the HIV-activated cells. With a view at minimizing the side effects of a treatment that employs a drug combination designed to attack the HIV at various stages of its life cycle, we introduce control variables that represent the infected patient’s medication. The optimal control rule that prescribes the medication for a given time period is obtained by means of Pontryagin’s Maximum Principle.