Jing-Rebecca Li1,
Denis Le Bihan2
1Equipe
DEFI, INRIA Saclay, Palaiseau Cedex, France; 2NeuroSpin, CEA,
Gif-sur-Yvette Cedex, France
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.