Article (Scientific journals)
Mathematical Modeling of HIV Dynamics After Antiretroviral Therapy Initiation: A Review
Rivadeneira, Pablo; Moog, Claude; Stan, Guy-Bart et al.
2014In BioResearch Open Access, 3 (5), p. 233-241
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Keywords :
aid for diagnosis; AIDS; apoptosis; dynamical systems; HIV; modeling; non linear control; pharmacodynamics; pharmacokinetics
Abstract :
[en] This review shows the potential ground-breaking impact that mathematical tools may have in the analysis and the understanding of the HIV dynamics. In the first part, early diagnosis of immunological failure is inferred from the estimation of certain parameters of a mathematical model of the HIV infection dynamics. This method is supported by clinical research results from an original clinical trial: data just after 1 month following therapy initiation are used to carry out the model identification. The diagnosis is shown to be consistent with results from monitoring of the patients after 6 months. In the second part of this review, prospective research results are given for the design of individual anti-HIV treatments optimizing the recovery of the immune system and minimizing side effects. In this respect, two methods are discussed. The first one combines HIV population dynamics with pharmacokinetics and pharmacodynamics models to generate drug treatments using impulsive control systems. The second one is based on optimal control theory and uses a recently published differential equation to model the side effects produced by highly active antiretroviral therapy therapies. The main advantage of these revisited methods is that the drug treatment is computed directly in amounts of drugs, which is easier to interpret by physicians and patients.
Disciplines :
Computer science
Immunology & infectious disease
Author, co-author :
Rivadeneira, Pablo
Moog, Claude
Stan, Guy-Bart
Brunet, Cécile
Raffi, François
Ferré, Virginie
Costanza, Vicente
Mhawej, Marie-José
Biafore, Federico
Ouattara, Djomangan
Ernst, Damien  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Smart grids
Fonteneau, Raphaël ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Xia, Xiaohua
More authors (3 more) Less
Language :
English
Title :
Mathematical Modeling of HIV Dynamics After Antiretroviral Therapy Initiation: A Review
Publication date :
October 2014
Journal title :
BioResearch Open Access
ISSN :
2164-7844
eISSN :
2164-7860
Publisher :
Mary Ann Liebert, New Rochelle, United States - New York
Volume :
3
Issue :
5
Pages :
233-241
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 05 November 2014

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