Numerical Simulation of DMRI Signals in a Complex Tissue Model

Jing-Rebecca Li¹, Denis Le Bihan²

We numerically simulated the magnetization of diffusing water molecules in a two compartment tissue model consisting of permeable cells, with cylindrical and spherical shapes, and extra-cellular space subject to the pulsed gradient spin echo (PGSE) sequence at various diffusion times by numerically solving the Bloch-Torrey partial differential equation using a finite volume spatial discretization coupled with a Runge-Kutta Chebyshev time-stepping method. The simulated results are consistent with experimental findings in rat cortex in vivo.