Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection

We propose a fractional order model to study the efficacy of the Post-Exposure Prophylaxis (PEP) in human immunodeficiency virus (HIV) within-host dynamics, in the presence of the HIV latent reservoir. Latent reservoirs harbor infected cells that contain a transcriptionally silent but reactivatable...

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Main Authors: Carla M. A. Pinto, Ana R. M. Carvalho, Dumitru Baleanu, Hari M. Srivastava
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/6/515
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author Carla M. A. Pinto
Ana R. M. Carvalho
Dumitru Baleanu
Hari M. Srivastava
author_facet Carla M. A. Pinto
Ana R. M. Carvalho
Dumitru Baleanu
Hari M. Srivastava
author_sort Carla M. A. Pinto
collection DOAJ
description We propose a fractional order model to study the efficacy of the Post-Exposure Prophylaxis (PEP) in human immunodeficiency virus (HIV) within-host dynamics, in the presence of the HIV latent reservoir. Latent reservoirs harbor infected cells that contain a transcriptionally silent but reactivatable provirus. The latter constitutes a major difficulty to the eradication of HIV in infected patients. PEP is used as a way to prevent HIV infection after a recent possible exposure to HIV. It consists of the in-take of antiretroviral drugs for, usually, 28 days. In this study, we focus on the dosage and dosage intervals of antiretroviral therapy (ART) during PEP and in the role of the latent reservoir in HIV infected patients. We thus simulate the model for immunologically important parameters concerning the drugs and the fraction of latently infected cells. The results may add important information to clinical practice of HIV infected patients.
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spelling doaj.art-60b5db568ba24008a98a395b9796ecab2022-12-22T00:40:37ZengMDPI AGMathematics2227-73902019-06-017651510.3390/math7060515math7060515Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV InfectionCarla M. A. Pinto0Ana R. M. Carvalho1Dumitru Baleanu2Hari M. Srivastava3School of Engineering, Polytechnic of Porto, Rua Dr António Bernardino de Almeida, 431, 4200-072 Porto, PortugalFaculty of Sciences, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, PortugalDepartment of Mathematics and Computer Sciences, Cankaya University, Balgat, Ankara 0630, TurkeyDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaWe propose a fractional order model to study the efficacy of the Post-Exposure Prophylaxis (PEP) in human immunodeficiency virus (HIV) within-host dynamics, in the presence of the HIV latent reservoir. Latent reservoirs harbor infected cells that contain a transcriptionally silent but reactivatable provirus. The latter constitutes a major difficulty to the eradication of HIV in infected patients. PEP is used as a way to prevent HIV infection after a recent possible exposure to HIV. It consists of the in-take of antiretroviral drugs for, usually, 28 days. In this study, we focus on the dosage and dosage intervals of antiretroviral therapy (ART) during PEP and in the role of the latent reservoir in HIV infected patients. We thus simulate the model for immunologically important parameters concerning the drugs and the fraction of latently infected cells. The results may add important information to clinical practice of HIV infected patients.https://www.mdpi.com/2227-7390/7/6/515Post-Exposure Prophylaxislatent reservoirHIV infectionfractional order model
spellingShingle Carla M. A. Pinto
Ana R. M. Carvalho
Dumitru Baleanu
Hari M. Srivastava
Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
Mathematics
Post-Exposure Prophylaxis
latent reservoir
HIV infection
fractional order model
title Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
title_full Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
title_fullStr Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
title_full_unstemmed Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
title_short Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
title_sort efficacy of the post exposure prophylaxis and of the hiv latent reservoir in hiv infection
topic Post-Exposure Prophylaxis
latent reservoir
HIV infection
fractional order model
url https://www.mdpi.com/2227-7390/7/6/515
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