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Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE

E. GrenierV. LouvetP. Vigneaux — 2014

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Parameter estimation in non linear mixed effects models requires a large number of evaluations of the model to study. For ordinary differential equations, the overall computation time remains reasonable. However when the model itself is complex (for instance when it is a set of partial differential equations) it may be time consuming to evaluate it for a single set of parameters. The procedures of population parametrization (for instance using SAEM algorithms) are then very long and in some cases...

Diagnostics of the AML with immunophenotypical data

A. PlesaG. CiupercaV. LouvetL. Pujo-MenjouetS. GénieysC. DumontetX. ThomasV. Volpert — 2010

Mathematical Modelling of Natural Phenomena

Patients with acute myeloblastic leukemia (AML) are divided according to the French American British (FAB) classification into eight subgroups (M0 to M7) on the basis of their degree of maturation/differentiation. However, even if immunophenotypical characterization by flow cytometry is routinely used to distinguish between AML and acute lymphoblastic leukemia (ALL), it is not yet well established for the identification within the AML subgroups. Here we show that certain subgroups of AML can be...

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