A Macroscopic Model Including Membrane Exchange for Diffusion MRI

DOI10.1137/130914255zbMath1302.35037OpenAlexW2043638110MaRDI QIDQ5495236

Houssem Haddar, Jing-Rebecca Li, Julien Coatléven

Publication date: 31 July 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00768732/file/CHL-DMRI-new.pdf

zbMATH Keywords

inverse problemdiffusion MRIformal homogenisation asymptoticshomogenised modeltransverse water proton magnetisation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Applications to the sciences (65Z05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Mathematical justification of macroscopic models for diffusion MRI through the periodic unfolding method ⋮ A second order asymptotic model for diffusion MRI in permeable media ⋮ Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization ⋮ A Monte Carlo estimation of the mean residence time in cells surrounded by thin layers ⋮ A Macroscopic Model for the Diffusion MRI Signal Accounting for Time-Dependent Diffusivity

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