output
20122026
most citedAnomalous versus slowed-down Brownian diffusion in the ligand-binding equilibrium

37 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.AP2025

Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers

Dilara Abdel, Alain Blaustein, Claire Chainais-Hillairet +2

We consider a stationary drift-diffusion system with ionic charge carriers and external generation of electron and hole charge carriers. This system arises, among other application…

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…

math.AP2022★ 11 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.AP2022★ 10 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…