Maximum likelihood estimation in dynamical models of HIV.

Abstract:

:The study of dynamical models of HIV infection, based on a system of nonlinear ordinary differential equations (ODE), has considerably improved the knowledge of its pathogenesis. While the first models used simplified ODE systems and analyzed each patient separately, recent works dealt with inference in non-simplified models borrowing strength from the whole sample. The complexity of these models leads to great difficulties for inference and only the Bayesian approach has been attempted by now. We propose a full likelihood inference, adapting a Newton-like algorithm for these particular models. We consider a relatively complex ODE model for HIV infection and a model for the observations including the issue of detection limits. We apply this approach to the analysis of a clinical trial of antiretroviral therapy (ALBI ANRS 070) and we show that the whole algorithm works well in a simulation study.

journal_name

Biometrics

journal_title

Biometrics

authors

Guedj J,Thiébaut R,Commenges D

doi

10.1111/j.1541-0420.2007.00812.x

subject

Has Abstract

pub_date

2007-12-01 00:00:00

pages

1198-206

issue

4

eissn

0006-341X

issn

1541-0420

pii

BIOM812

journal_volume

63

pub_type

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