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

  • A. Collin
  • D. Chapelle
  • P. Moireau
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9126)


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.


Electrophysiology modeling Data assimilation Estimation Observer Bidomain equations Topological gradient Shape derivative 



The research leading to these results has received partial funding from the European Union’s Seventh Framework Programme for research, technological development and demonstration, under grant agreement #611823 (VP2HF Project).


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Inria Saclay Ile-de-FranceMΞDISIM TeamPalaiseauFrance

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