Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of CD4+T Cells.
The main goal of this study was to develop a theoretical short- and long-term optimal control treatment of HIV infection of [Formula: see text] cells. The aim of the mathematical model used herein is to make the free HIV virus particles in the blood decrease, while administering a treatment that is less toxic to patients. Pontryagin's classical control theory is applied to a mathematical model of HIV infection of [Formula: see text] cells characterized by a system of nonlinear differential equations with the following unknown functions: the concentration of susceptible [Formula: see text] cells, [Formula: see text] cells infected by the HIV viruses and free HIV virus particles in the blood.
Kennesaw State University, 1000 Chastain Rd., Kennesaw, GA, 30144, USA. acroicu@kennesaw.edu.
Ana-Maria
http://orcid.org/0000-0002-8788-0666
AM
Croicu
D023241:Antiretroviral Therapy, Highly Active; D015496:CD4-Positive T-Lymphocytes / Q000276:immunology / Q000821:virology*; D015658:HIV Infections / Q000188:drug therapy / Q000276:immunology* / Q000821:virology*; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics; D019562:Viral Load
Adjoint equations; HIV infection of cells; Optimal control; State equations; System of nonlinear differential equations