Mathematical justification of macroscopic models for diffusion MRI through the periodic unfolding method - Archive ouverte HAL
Article Dans Une Revue Asymptotic Analysis Année : 2015

Mathematical justification of macroscopic models for diffusion MRI through the periodic unfolding method

Résumé

Diffusion Magnetic Resonance Imaging (dMRI) is a promising tool to obtain useful information on cellular structure when applied to biological tissues. A coupled macroscopic model has been introduced recently through formal homogenization to model dMRI's signal attenuation. This model was based on a particular scaling of the permeability condition modeling cellular membranes. In this article, we explore all the possible scalings and mathematically justify the corresponding limit models, using the periodic unfolding method. We also illustrate through numerical simulations the respective behavior of the limit models when compared to dMRI measurements.
Fichier principal
Vignette du fichier
Coatleven 2.pdf (545.87 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01180148 , version 1 (24-07-2015)

Identifiants

Citer

Julien Coatléven. Mathematical justification of macroscopic models for diffusion MRI through the periodic unfolding method. Asymptotic Analysis, 2015, 93 (3), pp.219-258. ⟨10.3233/ASY-151294⟩. ⟨hal-01180148⟩
581 Consultations
196 Téléchargements

Altmetric

Partager

More