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
2 MONC - Modélisation Mathématique pour l'Oncologie

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.

Mots clés: electrophysiology modeling; shape derivative; topological gradient; bidomain equations; observer; estimation; data assimilation

Domaines: Analyse numérique [math.NA]

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⟩