Computational and Mathematical Methods in Medicine, ( ISI ), Volume (2011), No (10), Year (2011-2) , Pages (1-9)

Title : ( Optimal Control of HIV Dynamic Using EmbeddingMethod )

Authors: Hassan Zarei , Ali Vahidian Kamyad , Mohammad Hadi Farahi ,

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Abstract 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 systemwith 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


, Keyword: Optimal control problem, Drug utilizing a system, Human immunodeficiency virus (HIV).
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author = {Zarei, Hassan and Vahidian Kamyad, Ali and Farahi, Mohammad Hadi},
title = {Optimal Control of HIV Dynamic Using EmbeddingMethod},
journal = {Computational and Mathematical Methods in Medicine},
year = {2011},
volume = {2011},
number = {10},
month = {February},
issn = {1748-670X},
pages = {1--9},
numpages = {8},
keywords = {Keyword: Optimal control problem; Drug utilizing a system; Human immunodeficiency virus (HIV).},


%0 Journal Article
%T Optimal Control of HIV Dynamic Using EmbeddingMethod
%A Zarei, Hassan
%A Vahidian Kamyad, Ali
%A Farahi, Mohammad Hadi
%J Computational and Mathematical Methods in Medicine
%@ 1748-670X
%D 2011