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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.

CMAP UMR 7641 École Polytechnique CNRS, Route de Saclay, 91128 Palaiseau Cedex France, Tél: +33 1 69 33 46 23 Fax: +33 1 69 33 46 46