Parameter identification of an HIV model by the combined AdomianAlienor method
Purpose The purpose of this paper is to show that a combination of Adomian and Alienor methods can be used to solve the problem of parameters identification of HIVAIDS model. This model involves a system of three ordinary differential equations. Designmethodologyapproach Parameters identification le...
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Veröffentlicht in: | Kybernetes 2006-12, Vol.35 (10), p.1725-1734 |
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description | Purpose The purpose of this paper is to show that a combination of Adomian and Alienor methods can be used to solve the problem of parameters identification of HIVAIDS model. This model involves a system of three ordinary differential equations. Designmethodologyapproach Parameters identification leads to the minimization of an error functional given by the sum of variations between measured variables and calculated variables obtained by solving the system of differential equations. We assume that the quantity of healthy cells CD4T and the viral load contents in the blood are measured. Findings The identification was realized by applying the combined AdomianAlienor method allowing to reduce the problem to a minimization problem in dimention one. Practical implications Simulation results are given for illustration. Originalityvalue Application to parameter identification in an HIV modelcompatible, results to other methods. |
doi_str_mv | 10.1108/03684920610688685 |
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This model involves a system of three ordinary differential equations. Designmethodologyapproach Parameters identification leads to the minimization of an error functional given by the sum of variations between measured variables and calculated variables obtained by solving the system of differential equations. We assume that the quantity of healthy cells CD4T and the viral load contents in the blood are measured. Findings The identification was realized by applying the combined AdomianAlienor method allowing to reduce the problem to a minimization problem in dimention one. Practical implications Simulation results are given for illustration. Originalityvalue Application to parameter identification in an HIV modelcompatible, results to other methods.</description><identifier>ISSN: 0368-492X</identifier><identifier>DOI: 10.1108/03684920610688685</identifier><language>eng</language><publisher>Emerald Group Publishing Limited</publisher><subject>Cybernetics ; Differential equations ; Identification</subject><ispartof>Kybernetes, 2006-12, Vol.35 (10), p.1725-1734</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,961,27901,27902</link.rule.ids></links><search><creatorcontrib>Manseur, S.</creatorcontrib><creatorcontrib>Messaoudi, N.</creatorcontrib><creatorcontrib>Cherruault, Y.</creatorcontrib><title>Parameter identification of an HIV model by the combined AdomianAlienor method</title><title>Kybernetes</title><description>Purpose The purpose of this paper is to show that a combination of Adomian and Alienor methods can be used to solve the problem of parameters identification of HIVAIDS model. 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This model involves a system of three ordinary differential equations. Designmethodologyapproach Parameters identification leads to the minimization of an error functional given by the sum of variations between measured variables and calculated variables obtained by solving the system of differential equations. We assume that the quantity of healthy cells CD4T and the viral load contents in the blood are measured. Findings The identification was realized by applying the combined AdomianAlienor method allowing to reduce the problem to a minimization problem in dimention one. Practical implications Simulation results are given for illustration. Originalityvalue Application to parameter identification in an HIV modelcompatible, results to other methods.</abstract><pub>Emerald Group Publishing Limited</pub><doi>10.1108/03684920610688685</doi></addata></record> |
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subjects | Cybernetics Differential equations Identification |
title | Parameter identification of an HIV model by the combined AdomianAlienor method |
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