output
20222024
most citedMicroscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 -- Modeling and Well-Posedness

11 citations

5 papers

math.AP2024

Assessment of a Threshold Method for Computing Activation Maps from Reconstructed Transmembrane Voltages

Emma Lagracie, Lisl Weynans, Yves Coudière

Electrocardiographic imaging non-invasively reconstructs activation maps of the heart from temporal body surface potential maps by post-processing solutions of an inverse problem.…

math.AP2024

Comparison of Two Formulations for Computing Body Surface Potential Maps

Emma Lagracie, Lisl Weynans, Yves Coudière

In order to establish a link between the activation map and the body surface signals, we want to compute body potentials from activation maps and a frontlike approximation of the a…

stat.ML20231 cited

Monte Carlo guided Diffusion for Bayesian linear inverse problems

Gabriel Cardoso, Yazid Janati El Idrissi, Sylvain Le Corff +1

Ill-posed linear inverse problems arise frequently in various applications, from computational photography to medical imaging. A recent line of research exploits Bayesian inference…

math.AP202211 cited

Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 -- Modeling and Well-Posedness

Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad +1

We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three…

math.AP202210 cited

Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model

Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad +1

In this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology. The first level associated with th…