3 papers
math.NA2024
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue
Mostafa Bendahmane, Youssef Ouakrim, Yassine Ouzrour +1
This paper presents a nonlinear reaction-diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature…
math.AP2023
Mathematical analysis and multiscale derivation of a nonlinear predator-prey cross-diffusion--fluid system with two chemicals
Mostafa Bendahmane, Fahd Karami, Driss Meskine +2
A nonlinear cross-diffusion--fluid system with chemical terms describing the dynamics of predator-prey living in a Newtonian fluid is proposed in this paper. The existence of a wea…
math.AP2023
Effect of energy dissipation on radiofrequency ablation model in cardiac tissue: modelling, analysis and numerical simulation
Mostafa Bendahmane, Youssef Ouakrim, Yassine Ouzrour +1
This paper deals with the mathematical analysis and numerical simulation of a new nonlinear ablation system modeling radiofrequency ablation phenomena in cardiac tissue, {which inc…