23 citations · 66 across the 18 of their papers we have counts for
19 papers
Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology
Mostafa Bendahmane, Mohamed Mehdaoui, Mouhcine Tilioua
The purpose of this paper is to establish the well-posedness of martingale (probabilistic weak) solutions to stochastic degenerate aggregation--diffusion equations arising in biolo…
Stochastic electromechanical bidomain model
Mostafa Bendahmane, Kenneth H. Karlsen, Fatima Mroue
We analyze a system of nonlinear stochastic partial differential equations (SPDEs) of mixed elliptic-parabolic type that models the propagation of electric signals and their effect…
Mathematical analysis of a stochastic reaction-diffusion system modeling predator-prey interactions with prey-taxis and noises
Mostafa Bendahmane, Herbert Nzeti, Jacques Tagoudjeu +1
This paper is devoted to the mathematical analysis of a nonlinear stochastic reaction-diffusion system modeling predator-prey interactions with prey-taxis and noises. Precisely, we…
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…