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Russell G, Harkins KD, Secomb TW, et al. A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue. Phys Med Biol. 2012;57(4):N35-46doi: 10.1088/0031-9155/57/4/N35.
Russell, G., Harkins, K. D., Secomb, T. W., Galons, J. P., & Trouard, T. P. (2012). A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue. Physics in medicine and biology, 57(4), N35-46. https://doi.org/10.1088/0031-9155/57/4/N35
Russell, Greg, et al. "A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue." Physics in medicine and biology vol. 57,4 (2012): N35-46. doi: https://doi.org/10.1088/0031-9155/57/4/N35
Russell G, Harkins KD, Secomb TW, Galons JP, Trouard TP. A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue. Phys Med Biol. 2012 Feb 21;57(4):N35-46. doi: 10.1088/0031-9155/57/4/N35. Epub 2012 Feb 01. PMID: 22297418; PMCID: PMC6996935.
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Phys Med Biol. 2012 Feb 21;57(4):N35-46. doi: 10.1088/0031-9155/57/4/N35. Epub 2012 Feb 01.

A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue.

Physics in medicine and biology

Greg Russell, Kevin D Harkins, Timothy W Secomb, Jean-Philippe Galons, Theodore P Trouard

Affiliations

  1. Department of Physics, University of Arizona, Tucson, AZ, USA.

PMID: 22297418 PMCID: PMC6996935 DOI: 10.1088/0031-9155/57/4/N35

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.

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