SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2015-2016
Jeudi 24 septembre 2015 :
Jing-Rebecca Li
(INRIA Saclay - Équipe DEFI)
Numerical simulation and macroscopic model formulation for diffusion magnetic resonance imaging in the brain.
Diffusion Magnetic Resonance Imaging (dMRI) is an imaging modality that gives a measure of water diffusion in biological tissue. As water diffusion is strongly affected by the cellular environment, dMRI has become a widely used research and clinical tool for detecting and quantifying physiological and pathological conditions in-vivo, particularly in the brain. I will talk about two aspects of our recent research: numerical simulation of a PDE model of the dMRI signal and the formulation of reduced models using mathematical homogenization.