PhD (pdf)
Keywords:
Homogenization theory, Partial differential equations (PDEs), Electro-cardiology models, Multi-scale mathematical modeling and analysis, Cardiac electro-physiology, Gap junctions, Reaction-diffusion system, Bidomain and Tridomain model, Three scale unfolding method, Asymptotic expansion method, Well-posedness, Faedo-Galerkin technique, Periodic structure.My thesis work is mainly devoted to the modeling and multiscale analysis of bidomain and tridomain electrocardiology systems.
Internship Master 2 Fundamental and Applied Mathematics (pdf)
Keywords:
Partial differential equations (PDEs), Existence and uniqueness, Faedo-Galerkin technique, Electrocardiology models, Cardiac electrophysiology, Modeling and mathematical analysis, Reaction-diffusion system.During my internship in LMJL at University of Nantes, I studied the macroscopic bidomain model describing the electrical phenomena that occur in the cardiac tissue.