Published articles:
- F. Bader, M. Bendahmane, M. Saad and R. Talhouk
Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue,
Journal of Engineering Mathematics, 131(1), p. 1--30, Springer (2021).
[DOI]
[hal-03517663]
- F. Bader, M. Bendahmane, M. Saad and R. Talhouk
Three scale unfolding homogenization method applied to cardiac bidomain model,
Acta Applicandae Mathematicae, 176(1), p. 1--37, Springer (2021).
[DOI]
[hal-03517657]
- F. Bader, M. Bendahmane, M. Saad and R. Talhouk
Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions.
Part 1- Modeling and Well-posedness,
Acta Applicandae Mathematicae, , 179(1), p. 1--35, Springer (2022).
[DOI]
[hal-03682214]
Submitted article:
- F. Bader, M. Bendahmane, M. Saad and R. Talhouk
Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions.
Part 2- Math derivation of the macroscopic tridomain model by homogenization methods,
Submitted.
PhD thesis:
- F. Bader
Multi-scale unfolding homogenization method applied to bidomain and tridomain electrocardiology models,
Centrale Nantes, France & Lebanese University, Lebanon, Novembre (2021).
[tel-03525302]