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

PABLO S. RIVADENEIRA; CLAUDE H. MOOG; VICENTE COSTANZA; FEDERICO BIAFORE

BioResearch Open Access

Mary Ann Liebert,

Año: 2014 vol. 3 p. 1 - 9

2164-7860

This review shows the potential ground-breaking impact that mathematical tools may have in the analysis and theunderstanding of the HIV dynamics. In the first part, early diagnosis of immunological failure is inferred from theestimation of certain parameters of a mathematical model of the HIV infection dynamics. This method is supportedby clinical research results from an original clinical trial: data just after 1 month following therapy initiation areused to carry out the model identification. The diagnosis is shown to be consistent with results from monitoringof the patients after 6 months. In the second part of this review, prospective research results are given for the designof individual anti-HIV treatments optimizing the recovery of the immune system and minimizing side effects. Inthis respect, two methods are discussed. The first one combines HIV population dynamics with pharmacokineticsand pharmacodynamics models to generate drug treatments using impulsive control systems. The second one isbased on optimal control theory and uses a recently published differential equation to model the side effects producedby highly active antiretroviral therapy therapies. The main advantage of these revisited methods is that thedrug treatment is computed directly in amounts of drugs, which is easier to interpret by physicians and patients.