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
Biometricsjournal_title
Biometricsauthors
Guedj J,Thiébaut R,Commenges Ddoi
10.1111/j.1541-0420.2007.00812.xsubject
Has Abstractpub_date
2007-12-01 00:00:00pages
1198-206issue
4eissn
0006-341Xissn
1541-0420pii
BIOM812journal_volume
63pub_type
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