Identifiability and sensitivity analysis of a Photodynamic Therapy model

Simona Dobre; Thierry Bastogne; Muriel Barberi-Heyob; Alain Richard

hal-00518270, version 1

Identifiability and sensitivity analysis of a Photodynamic Therapy model

Simona Dobre () ¹, Thierry Bastogne ( Author to contact preferably ) ^1, 2, Muriel Barberi-Heyob ^1, 3, 4, Alain Richard ¹

6th International Conference on Sensitivity Analysis of Model Output, SAMO 2010 (2010) CDROM

Abstract: Photodynamic therapy (PDT) is an alternative treatment for cancer that involves the administration of a photosensitizing agent, which is activated by light at a specific wavelength. The photo-toxic phase of this therapy can be described by a dynamic model composed of six nonlinear differential equations. The model parameters can be used to compare photosensitizing agents in their capability to produce cytotoxic species. The practical issue is their estimation from in vivo experimental data. In this paper, a new approach is proposed to analyze the photophysical parameters estimability through a local practical identifiability study combined with a global sensitivity analysis. Results show that only three parameters can reasonably be estimated in a given and realistic experimental framework. Input design (light signal) and model reduction are currently in progress.

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: Centre Alexis Vautrin
CRLCC Alexis Vautrin
4: Médicaments Photoactivables - Photochimiothérapie (PHOTOMED)
CNRS : GDR3049 – Institut de Chimie du CNRS

hal-00518270, version 1
http://hal.archives-ouvertes.fr/hal-00518270
oai:hal.archives-ouvertes.fr:hal-00518270
From: Thierry Bastogne <>
Submitted on: Thursday, 16 September 2010 23:18:55
Updated on: Thursday, 24 November 2011 13:46:56

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