Title :
Clinical Tests of Therapeutical Failures Based on Mathematical Modeling of the HIV Infection
Author :
Ouattara, Djomangan Adama ; Mhawej, Marie-José ; Moog, Claude H.
Author_Institution :
Univ. Libre de Bruxelles, Brussels
Abstract :
Clinical tests which are displayed are based on a system-theoretic approach for an early diagnosis of the immunological and virological failure of HIV patients. Mathematical characterizations of therapeutical failures are presented in this paper. Mathematical modeling is used for individual patients to help for an early diagnosis of the evolution of the infection. The feasibility of the method is depicted on some patients who start highly active antiretroviral therapy (HAART). The identifiability of the continuous-time models which are used is proved, and it is shown to be invariant under discretization.
Keywords :
mathematical analysis; patient diagnosis; HIV infection; HIV patients; clinical tests; continuous-time models; highly active antiretroviral therapy; immunological failure diagnosis; therapeutical failures; virological failure diagnosis; Acquired immune deficiency syndrome; Clinical trials; Drugs; Human immunodeficiency virus; Immune system; Kinetic theory; Mathematical model; Medical treatment; Parameter estimation; System testing; AIDS; HIV; clinical trial; discretization; early diagnosis; identifiability; nonlinear systems; parameter estimation; therapeutical failures;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.911332
