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Abstract #3142

Numerical Simulation of DMRI Signals in a Complex Tissue Model

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.

Keywords

addition assume audience behavior biological blocked boundary brain cells cellular cerebral certain close coefficients combination compartment compartments computational conditions conservation consider consisted consistent consisting contained continuously coordinate cortex coupled cross cylinder cylinders cylindrical decrease decreases describe diameter diffusing diffusion dimensions distance duration earlier elusive entire equation experimental explain exponential extra extracellular faces fact field findings finite fitted five fraction function future geometrical give goes gradient highest hope impose in vivo includes infinitely integral intensity interface intra intrinsic kurtosis larger link lowest magnetization mainly mass measure medium meshes microns mimic model modeling models molecules near neurons normalized numerical numerically observe occupied often oriented part partial percent periodic periodically permeabilities permeability permeable phys placed plan plot polynomial profile pseudo pulses randomly relatively researchers respectively review sample several shapes sharply shorter side simulate simulated simulation simulations slight slightly slowly smaller solving space spatial spherical starts steady structure taking targeted tissue tissues useful various volume water whereas