Keywords: Diffusion Modeling, Modelling, strain, diffusion, permeability, random walk, finite volume
Motivation: To investigate the effects of strain on diffusion where existing studies are limited to isotropic unrestricted media.
Goal(s): The aim of this study is to develop and validate a novel methodology that extends the classic Monte Carlo random walk algorithm to incorporate the effects of strain within complex media.
Approach: Strain is included in the MCRW simulations displacing the geometry and the particles in each time step and is validated against established finite volume (FV) methods and an analytical solution for free diffusion.
Results: We demonstrate the ability to assess changes in the diffusion tensor due to cyclical strain and long diffusion times.
Impact: The updated MCRW model offers new capabilities for quantifying strain-induced biases in diffusion tensor CMR metrics enabling clinicians to more accurately interpret microstructural changes, particularly in patients with pathological alterations.
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