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5 papers · 2 filters
A control strategy for Sterile Insect Techniques using exponentially decreasing releases to avoid the hair-trigger effect
Alexis Léculier, Nga Nguyen
In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are the vectors of various dead…
Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 2 -- Derivation of the macroscopic tridomain model by unfolding homogenization method
Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad +1
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 m…
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…
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…
Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue
Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad +1
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…