HAL - INRIA :: [hal-00412535, version 1] System identification of tumor growth described by a mixed effects model

hal-00412535, version 1

System identification of tumor growth described by a mixed effects model

Thierry Bastogne ( Auteur à contacter de préférence ) ^1, 2, Adeline Samson ³, Sophie Mézières-Wantz ^2, 4, Pierre Vallois ^2, 4, Sophie Pinel ^1, 5, Muriel Barberi-Heyob ¹

15th IFAC Symposium on System Identification, SYSID 2009 (2009) CDROM

Résumé : System identification of treated tumor growth is addressed in this paper. Three main difficulties are examined: (i) the determination of a suited dynamical model structure (modeling problem), (ii) the inter-individual variability of the therapeutic responses (population identification problem or longitudinal data analysis) and (iii) the effects of some categorical factors on the model parameters. To solve these problems, a mixed effect model of tumor growth, a two step identification approach and an estimation algorithm based on expectation maximization, are proposed and applied to in vivo data. A double effect of treatments on the tumor volume responses is pointed out.

1 : Centre de recherche en automatique de Nancy (CRAN)
CNRS : UMR7039 – Université Henri Poincaré - Nancy I – Institut National Polytechnique de Lorraine (INPL)
2 : BIGS (INRIA Lorraine / IECN)
INRIA – CNRS : UMR7502
3 : Mathématiques appliquées Paris 5 (MAP5)
CNRS : UMR8145 – Université Paris V - Paris Descartes
4 : Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
5 : Signalisation, Génomique et Recherche Transactionnelle en Oncologie (EA 4001)
Nancy-University

hal-00412535, version 1
http://hal.archives-ouvertes.fr/hal-00412535
oai:hal.archives-ouvertes.fr:hal-00412535
Contributeur : Thierry Bastogne <>
Soumis le : Dimanche 29 Novembre 2009, 18:17:53
Dernière modification le : Samedi 26 Novembre 2011, 23:44:30

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