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

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19 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)N35-N46
JournalPhysics in medicine and biology
Volume57
Issue number4
DOIs
StatePublished - Feb 21 2012

ASJC Scopus subject areas

  • Radiological and Ultrasound Technology
  • Radiology Nuclear Medicine and imaging

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