Theory in Biosciences, Volume (135), No (4), Year (2016-8) , Pages (217-230)

Title : ( Optimal control therapy and vaccination for special HIV-1 model )

Authors: Elham Shamsara , Jamal Shamsara , Zahra Afsharnejad ,

Citation: BibTeX | EndNote

Abstract

In this paper, we consider a four dimensional model of the human immunodeficiency virus-1 (HIV-1) with delay, which is an extension of some three dimensional models. We approach the treatment problem by adding two controllers to the system for inhibiting viral production. The optimal controller u1 is considered for vaccine and u2 for the drug. The Pontryagin maximum principle with delay is used to characterize these optimal controls. At the end, numerical results are presented to illustrate the optimal solutions. The validity of the model was confirmed by proper semi-quantitative simulation of some clinical data. The model was used to predict the possible beneficial effects of vaccine and anti-retroviral drug administration in HIV-1 disease.

Keywords

, CTL response , HIV-1 infection , Pontryagin maximum principle with delay , Optimal control
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@article{paperid:1059599,
author = {Shamsara, Elham and Jamal Shamsara and Afsharnejad, Zahra},
title = {Optimal control therapy and vaccination for special HIV-1 model},
journal = {Theory in Biosciences},
year = {2016},
volume = {135},
number = {4},
month = {August},
issn = {1431-7613},
pages = {217--230},
numpages = {13},
keywords = {CTL response ; HIV-1 infection ; Pontryagin maximum principle with delay ; Optimal control},
}

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%0 Journal Article
%T Optimal control therapy and vaccination for special HIV-1 model
%A Shamsara, Elham
%A Jamal Shamsara
%A Afsharnejad, Zahra
%J Theory in Biosciences
%@ 1431-7613
%D 2016

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