Asymptotic models of the diffusion MRI signal accounting for geometrical deformations

DOI10.5802/msia.32zbMath1528.35216OpenAlexW4317036651MaRDI QIDQ6060123

Jan S. Hesthaven, Zheyi Yang, Imen Mekkaoui, Jing-Rebecca Li

Publication date: 3 November 2023

Published in: MathematicS In Action (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/msia.32

zbMATH Keywords

simulationfinite elementsdiffusion magnetic resonance imagingapparent diffusion coefficientBloch-Torrey PDE

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Biological applications of optics and electromagnetic theory (78A70) Neural biology (92C20) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to biology (92-08)

Cites Work

• Assessment of the effect of tissue motion in diffusion MRI: derivation of new apparent diffusion coefficient formula
• Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
• A Macroscopic Model for the Diffusion MRI Signal Accounting for Time-Dependent Diffusivity
• Spin Echoes