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

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  • Carla M. A. Pinto

    (School of Engineering, Polytechnic of Porto, Rua Dr António Bernardino de Almeida, 431, 4200-072 Porto, Portugal
    Centre for Mathematics, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal
    The authors contributed equally to this work.)

  • Ana R. M. Carvalho

    (Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal
    The authors contributed equally to this work.)

  • Dumitru Baleanu

    (Department of Mathematics and Computer Sciences, Cankaya University, Balgat, Ankara 0630, Turkey
    The authors contributed equally to this work.)

  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    The authors contributed equally to this work.)

Abstract

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.

Suggested Citation

  • Carla M. A. Pinto & Ana R. M. Carvalho & Dumitru Baleanu & Hari M. Srivastava, 2019. "Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection," Mathematics, MDPI, vol. 7(6), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:515-:d:237590
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    References listed on IDEAS

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    1. Sweilam, Nasser H. & Abou Hasan, Muner M. & Baleanu, Dumitru, 2017. "New studies for general fractional financial models of awareness and trial advertising decisions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 772-784.
    2. Yan, Ye & Kou, Chunhai, 2012. "Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1572-1585.
    3. Copot, Dana & Magin, Richard L. & De Keyser, Robin & Ionescu, Clara, 2017. "Data-driven modelling of drug tissue trapping using anomalous kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 441-446.
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    Cited by:

    1. Attaullah, & Jan, Rashid & Yüzbaşı, Şuayip, 2021. "Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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