A Macroscopic Model for the Diffusion MRI Signal Accounting for Time-Dependent Diffusivity

DOI10.1137/15M1019398zbMath1339.35025OpenAlexW2397595523MaRDI QIDQ2810041

Simona Schiavi, Jing-Rebecca Li, Houssem Haddar

Publication date: 31 May 2016

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

Full work available at URL: https://doi.org/10.1137/15m1019398

zbMATH Keywords

Bloch-Torrey equationdiffusion magnetic resonance imagingtime-dependent diffusivity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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 (3)

Asymptotic models of the diffusion MRI signal accounting for geometrical deformations ⋮ A second order asymptotic model for diffusion MRI in permeable media ⋮ Understanding the Time-Dependent Effective Diffusion Coefficient Measured by Diffusion MRI: the IntraCellular Case

Uses Software

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Cites Work

• A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging
• GENERALIZED FRACTIONAL ORDER BLOCH EQUATION WITH EXTENDED DELAY
• A Macroscopic Model Including Membrane Exchange for Diffusion MRI
• Unnamed Item

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