Fakhrielddine Bader

Fakhrielddine Bader
Icam

PhD Mathematics

About

9
Publications
875
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
22
Citations
Citations since 2017
9 Research Items
22 Citations
201720182019202020212022202302468101214
201720182019202020212022202302468101214
201720182019202020212022202302468101214
201720182019202020212022202302468101214
Introduction
My interests lie at the intersection of mathematical modeling, mathematics PDEs, homogenization theory, multiscale mathematical modeling and analysis, cardiac electrophysiology, reaction-diffusion system, and numerical simulation.
Additional affiliations
September 2022 - August 2023
Université de Rennes 1
Position
  • Research and teaching assistant
September 2021 - August 2022
La Rochelle Université
Position
  • Research and teaching assistant
Education
December 2018 - November 2021
Lebanese University
Field of study
  • Mathematics
December 2018 - November 2021
Ecole Centrale de Nantes
Field of study
  • Applied Mathematics
September 2017 - August 2018
University of Nantes
Field of study
  • Fundamental and Applied Mathematics

Publications

Publications (9)
Article
Full-text available
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 the mesoscopic structure such that the cardiac tissue consists of extracellular and intracellular domains separated by an interface (the sarcolemma). The second one related...
Article
Full-text available
In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level is associated with the mesoscopic structure such that the cardiac tissue is composed of extracellular and intracellular domains....
Preprint
We study the homogenization of a novel microscopic tridomain system, allowing for a more detailed analysis of the properties of cardiac conduction than the classical bidomain and monodomain models. In (Acta Appl.Math. 179 (2022) 1--35), we detail this model in which gap junctions are considered as the connections between adjacent cells in cardiac m...
Article
We study the homogenization of a novel microscopic tridomain system, allowing for a more detailed analysis of the properties of cardiac conduction than the classical bidomain and monodomain models. In (Acta Appl.Math. 179 (2022) 1–35), we detail this model in which gap junctions are considered as the connections between adjacent cells in cardiac mu...
Article
Full-text available
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 PDEs modeling the tissue electrical conduction in the intra- and extra-cellular domains, supplemented by a nonlinear ODE system for the dynamics of the ion channels and...
Preprint
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 PDEs modeling the tissue electrical conduction in the intra-and extra-cellular domains, supplemented by a nonlinear ODE system for the dynamics of the ion channels and t...
Preprint
Full-text available
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 the mesoscopic structure such that the cardiac tissue consists of extracellular and intracellular domains separated by an interface (the sarcolemma). The second one related...
Preprint
Full-text available
In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level is associated with the mesoscopic structure such that the cardiac tissue is composed of extracellular and intracellular domains....
Thesis
This thesis is mainly devoted to the modeling and multi-scale analysis of bidomain and tridomain electro-cardiology systems. Cardiac electro-physiology describes and models the chemical and electrical phenomena that occur in cardiac tissue. At the microscopic level, cardiac tissue is very complex and it is therefore very difficult to understand and...

Network

Cited By