Reducing the Latent CD4+ Cells Reservoirs in HIV Infection with Optimal HAART Therapy

In HIV infection, the latent cells represent a reservoir that contributes to the failure of the Highly Active Anti-Retroviral Therapy (HAART). This fact requires investigating the possible strategy to improve the administration of the HAART therapy, in order to guarantee the control of the virus loa...

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Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2017-01, Vol.12 (5), p.78-98
Main Authors: Tridane, A., El Boukari, B., Hattaf, K., Yousfi, N.
Format: Article
Language:English
Subjects:
34B20
35G31
35Q53
CD4 antigen
Highly Active Anti-Retroviral Therapy
Highly active antiretroviral therapy
HIV
HIV infection
Human immunodeficiency virus
Infections
Latent infected cells
Latent infection
Mathematical models
Mutants
Optimal control
Therapy
Viruses
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Summary:In HIV infection, the latent cells represent a reservoir that contributes to the failure of the Highly Active Anti-Retroviral Therapy (HAART). This fact requires investigating the possible strategy to improve the administration of the HAART therapy, in order to guarantee the control of the virus load to the lost level as long as possible. In this work, we aim to study the possibility of reducing the latent infected CD4+ reservoir in the HIV infection by considering a mathematical model of two types of latently infected CD4+: fast and slow, and eight virus strains: wild-type, three single mutants, three double mutants and a fully resistant triple mutant. The HAART therapy is considered as an optimal control problem that aimes to reduce the virus load and the infected cells. Our optimal control approach shows the impact of the optimal HAART therapy on reducing two different types of the reservoirs of the latent infected CD4+ cells.
ISSN:1760-6101
0973-5348
1760-6101
DOI:10.1051/mmnp/201712506