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Open AccessArticle

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

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School of Engineering, Polytechnic of Porto, Rua Dr António Bernardino de Almeida, 431, 4200-072 Porto, Portugal
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Centre for Mathematics, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal
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Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal
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Department of Mathematics and Computer Sciences, Cankaya University, Balgat, Ankara 0630, Turkey
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Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
The authors contributed equally to this work.
Mathematics 2019, 7(6), 515; https://doi.org/10.3390/math7060515
Received: 17 April 2019 / Revised: 1 June 2019 / Accepted: 4 June 2019 / Published: 5 June 2019
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. View Full-Text
Keywords: Post-Exposure Prophylaxis; latent reservoir; HIV infection; fractional order model Post-Exposure Prophylaxis; latent reservoir; HIV infection; fractional order model
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Pinto, C.M.A.; Carvalho, A.R.M.; Baleanu, D.; Srivastava, H.M. Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection. Mathematics 2019, 7, 515.

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