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Updated: May 25, 2026

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
Published on: February 23, 2018
A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance
Greg Russell1, Kevin D Harkins, Timothy W Secomb
1Department of Physics, University of Arizona, Tucson, AZ, USA.
Abstract:
A new finite difference (FD) method for calculating the time evolution of complex transverse magnetization in diffusion-weighted magnetic resonance imaging and spectroscopy experiments is described that incorporates periodic boundary conditions. The new FD method relaxes restrictions on the allowable time step size employed in modeling which can significantly reduce computation time for simulations of large physical extent and allow for more complex, physiologically relevant, geometries to be simulated.

