Mathematical Modeling of HIV Dynamics After Antiretroviral Therapy Initiation: A Review

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 infe...

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Bibliographic Details
Published in:BioResearch Open Access Vol. 3; no. 5; pp. 233 - 241
Main Authors: Rivadeneira, PS, Moog, CH, Stan, GB, Brunet, C, Raffi, F, Ferré, V, Costanza, V, Mhawej, MJ, Biafore, F, Ouattara, DA, Ernst, D, Fonteneau, R, Xia, X
Format: Journal Article
Language:English
Published: United States Mary Ann Liebert Inc 01.10.2014
Mary Ann Liebert, Inc
Mary Ann Liebert
Subjects:
[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering
[SDV]Life Sciences [q-bio]
aid for diagnosis
AIDS
apoptosis
Automatic Control Engineering
Computer Science
dynamical systems
Engineering, computing & technology
HIV
https://purl.org/becyt/ford/2
https://purl.org/becyt/ford/2.2
Human health sciences
Human immunodeficiency virus
Immunologie & maladie infectieuse
Immunology & infectious disease
Ingénierie, informatique & technologie
Life Sciences
Mini-Review
modeling
non linear control
nonlinear control
optimal control
pharmacodynamics
pharmacokinetics
Sciences de la santé humaine
Sciences informatiques
side-effects
dynamical systems
modeling
nonlinear control
HIV
pharmacodynamics
pharmacokinetics
AIDS
apoptosis
aid for diagnosis
ISSN:2164-7860, 2164-7844, 2164-7860
Online Access:Get full text
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Summary: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.
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scopus-id:2-s2.0-84994118981
ISSN:2164-7860
2164-7844
2164-7860
DOI:10.1089/biores.2014.0024