Fuzzy modeling and control of HIV infection

Zarei, H. and Kamyad, A. V. and Heydari, A. A. (2012) Fuzzy modeling and control of HIV infection. Computational and Mathematical Methods in Medicine, 2012.

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Abstract

The present study proposes a fuzzy mathematical model of HIV infection consisting of a linear fuzzy differential equations (FDEs) system describing the ambiguous immune cells level and the viral load which are due to the intrinsic fuzziness of the immune system's strength in HIV-infected patients. The immune cells in question are considered CD4+ T-cells and cytotoxic T-lymphocytes (CTLs). The dynamic behavior of the immune cells level and the viral load within the three groups of patients with weak, moderate, and strong immune systems are analyzed and compared. Moreover, the approximate explicit solutions of the proposed model are derived using a fitting-based method. In particular, a fuzzy control function indicating the drug dosage is incorporated into the proposed model and a fuzzy optimal control problem (FOCP) minimizing both the viral load and the drug costs is constructed. An optimality condition is achieved as a fuzzy boundary value problem (FBVP). In addition, the optimal fuzzy control function is completely characterized and a numerical solution for the optimality system is computed. Copyright © 2012 Hassan Zarei et al.

Item Type: Article
Additional Information: Cited By :16 Export Date: 16 February 2020 Correspondence Address: Zarei, H.; Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad 91775-1159, Iran; email: zarei2003@yahoo.com
Uncontrolled Keywords: article CD4+ T lymphocyte cytotoxic T lymphocyte drug cost fuzzy logic human human cell Human immunodeficiency virus infection immune system immunocompetent cell infection control nonhuman virus load biological model drug effect economics immunology virology anti human immunodeficiency virus agent Anti-HIV Agents CD4-Positive T-Lymphocytes HIV Infections Humans Models, Immunological T-Lymphocytes, Cytotoxic Viral Load
Subjects: WC Communicable Diseases
Divisions: Mashhad University of Medical Sciences
Depositing User: mr lib5 lib5
Date Deposited: 04 Mar 2020 05:11
Last Modified: 04 Mar 2020 05:11
URI: http://eprints.mums.ac.ir/id/eprint/16682

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