Front observer for data assimilation of electroanatomical mapping data for a numerical atrial model

A Gérard 1, 2, 3, 4 Annabelle Collin 5, 2, 4 J Bayer 2, 3, 4 A Frontera 6, 3 Philippe Moireau 7 Yves Coudière 1, 2, 3, 4
1 CARMEN - Modélisation et calculs pour l'électrophysiologie cardiaque
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, IHU-LIRYC
5 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, Institut Bergonié - CRLCC Bordeaux
7 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
Abstract : The purpose of our work is to personalize an atrial model of the propagation of the action potential, based on electrical catheter data with the help of the data assimilation approach introduced in [Collin & Al, Journal of Computational Physics 2015]. The originality of the approach is to indroduce a Luenberger observer of a surface atrial model of the propagation which can pursue - like in classical Kalman filtering approach - the actual activation front reconstructed from catheter data. Moreover, this approach may account for the breakthrough of new activation fronts at anytime with an additional topological gradient term. In the present work, we adapt this approach to the bilayer surface atrial model of th propagation of action potentials [Labarthe & Al, Europace 2014], and evaluated for the first time on a real patient's dataset. First, the model was geometrically fit to the patient's data. A fiber architecture was added to the geometry. Then an initial electrophysiological state was guessed, and the model was run with the Luenberger filter for some catheter data acquired during a CARTO procedure. All along the simulation, the filter corrects the action potential so as to track CARTO local activation times, while preserving a biophysical behavior. With this technique, we are able to reconstruct smooth activation maps over the whole atrial surfaces. This promising technique may also allow to reconstruct velocity fields and directions, phase map and possibly give information on repolarization. This work results from a collaborative project carried out during a training session at CEMRACS 2016 in Marseille, Luminy.
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Poster
Liryc Workshop, Sep 2016, Bordeaux, France
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https://hal.inria.fr/hal-01400776
Contributeur : Antoine Gérard <>
Soumis le : mardi 22 novembre 2016 - 14:35:22
Dernière modification le : mardi 13 novembre 2018 - 10:10:11
Document(s) archivé(s) le : mardi 21 mars 2017 - 12:41:28

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  • HAL Id : hal-01400776, version 1

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A Gérard, Annabelle Collin, J Bayer, A Frontera, Philippe Moireau, et al.. Front observer for data assimilation of electroanatomical mapping data for a numerical atrial model. Liryc Workshop, Sep 2016, Bordeaux, France. 〈hal-01400776〉

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