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Sequential State Estimation for Electrophysiology Models with Front Level-Set Data Using Topological Gradient Derivations

Annabelle Collin 1, 2 Dominique Chapelle 1 Philippe Moireau 1
1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
2 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Institut Bergonié [Bordeaux], Inria Bordeaux - Sud-Ouest
Abstract : We propose a new sequential estimation method for making an electrophysiology model patient-specific, with data in the form of level sets of the electrical potential. Our method incorporates a novel correction term based on topological gradients, in order to track solutions of complex patterns. Our assessments demonstrate the effectiveness of this approach, including in a realistic case of atrial fibrillation.
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https://hal.inria.fr/hal-01174916
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Submitted on : Friday, July 10, 2015 - 10:54:36 AM
Last modification on : Saturday, October 10, 2020 - 3:35:54 AM
Long-term archiving on: : Monday, October 12, 2015 - 11:30:46 AM

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Annabelle Collin, Dominique Chapelle, Philippe Moireau. Sequential State Estimation for Electrophysiology Models with Front Level-Set Data Using Topological Gradient Derivations. Functional Imaging and Modeling of the Heart 2015, Jun 2015, Maastricht, Netherlands. pp.402-411, ⟨10.1007/978-3-319-20309-6_46⟩. ⟨hal-01174916⟩

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