Mini-Symposia et Posters > Mini-Symposium 2: Mathematical computation in electrocardiology

Mini-Symposium 2: Mathematical computation in electrocardiology (Organizer: Moncef Mahjoub)

This mini-symposium is about computing the electrical activity in the heart. In order to do so, we will need mathematical models of how the electrical signals are generated in the heart. Also, the identification is considered to be among the main applications of inverse theory and its objective for a given physical system is to use data which is easily observable, to infer some of the geometric parameters which are not directly observable. This mini-symposium is particularly interested to
1. used the homogenization techniques, and based on the microscopic model we show how obtain the macroscopic model which describe the electrical activity in the heart,
2. deploy artificial neural networks to estimate activation maps directly from body surface potential measurements,
3. present some lipschitz stability results for a set of parameters to solve inverse problems in cardiac electrophysiology,
4. identify a set of parameters using a variational method based on the conjugate gradient method and the Tikhonov’s regularization method to replace the original ill-posed problem with a well-posed problem.

List of speakers

1. Mostafa Bendahmane, Mathematical Institute of Bordeaux, IMB scientific computing team
Recent progress on homogenization of the bidomain and tridomain models in electrocardiology.

2. Néjib Zemzemi, Inria Center of Bordeaux University
Cardiac Activation Maps Reconstruction A Comparative Study Between Data-Driven and Physics-Based Methods.

3. Hamza Ammar, University of Tunis El Manar, National Engineering School of Tunis
Global Carleman estimate for stochastic monodomain equation in cardiac electrophysiology.

4. Moncef Mahjoub, University of Tunis El Manar, National Engineering School of Tunis
Estimation of conductivities in a bidomain-torso system by a variational approach.