TY - JOUR
T1 - A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue
AU - Russell, Greg
AU - Harkins, Kevin D.
AU - Secomb, Timothy W.
AU - Galons, Jean Philippe
AU - Trouard, Theodore P.
PY - 2012/2/21
Y1 - 2012/2/21
N2 - 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.
AB - 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.
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U2 - 10.1088/0031-9155/57/4/N35
DO - 10.1088/0031-9155/57/4/N35
M3 - Article
C2 - 22297418
AN - SCOPUS:84856863675
SN - 0031-9155
VL - 57
SP - N35-N46
JO - Physics in medicine and biology
JF - Physics in medicine and biology
IS - 4
ER -