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Fuzzy Modeling and Control of HIV Infection
Joint Authors
Zarei, Hassan
Heydari, Ali Akbar
Kamyad, Ali Vahidian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-22
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zarei, Hassan& Kamyad, Ali Vahidian& Heydari, Ali Akbar. 2012. Fuzzy Modeling and Control of HIV Infection. Computational and Mathematical Methods in Medicine،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-506021
Modern Language Association (MLA)
Zarei, Hassan…[et al.]. Fuzzy Modeling and Control of HIV Infection. Computational and Mathematical Methods in Medicine No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-506021
American Medical Association (AMA)
Zarei, Hassan& Kamyad, Ali Vahidian& Heydari, Ali Akbar. Fuzzy Modeling and Control of HIV Infection. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-506021
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506021