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Optimal Control of HIV Dynamic Using Embedding Method
Joint Authors
Zarei, Hassan
Farahi, M. H.
Kamyad, Ali Vahidian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This present study proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the survival time of patients and minimize the cost of drug utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus (HIV).
Optimal control problem transfers into a modified problem in measure space using an embedding method in which the existence of optimal solution is guaranteed by compactness of the space.
Then the metamorphosed problem is approximated by a linear programming (LP) problem, and by solving this LP problem a suboptimal piecewise constant control function, which is more practical from the clinical viewpoint, is achieved.
The comparison between the immune system dynamics in treated and untreated patients is introduced.
Finally, the relationships between the healthy cells and virus are shown.
American Psychological Association (APA)
Zarei, Hassan& Kamyad, Ali Vahidian& Farahi, M. H.. 2011. Optimal Control of HIV Dynamic Using Embedding Method. Computational and Mathematical Methods in Medicine،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-489494
Modern Language Association (MLA)
Zarei, Hassan…[et al.]. Optimal Control of HIV Dynamic Using Embedding Method. Computational and Mathematical Methods in Medicine No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-489494
American Medical Association (AMA)
Zarei, Hassan& Kamyad, Ali Vahidian& Farahi, M. H.. Optimal Control of HIV Dynamic Using Embedding Method. Computational and Mathematical Methods in Medicine. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-489494
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489494