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Abstract #4252

Diffusion Propagator Formalism in Bloch Equation Simulation of Magnetic Resonance Fingerprinting

Shota Hodono1, Yun Jiang2, Naren Nallapareddy3, Vikas Gulani2, and Mark Griswold2

1Physics and Astronomy, Ohio Northern University, Ada, OH, United States, 2Radiology, Case Western Reserve University, Cleveland, OH, United States, 3Biomedical Engineering, Case Western Reserve University, Cleveland, OH, United States

By considering spin diffusion as a random walk process and introducing a Gaussian probability function to the Bloch equation, a diffusion propagator was developed, which allows diffusion to be accounted for in magnetic resonance fingerprinting (MRF) simulations. In this study, signal intensities generated by Bloch simulations with the diffusion propagator were compared with theoretical values for the diffusion-weighted spin echo sequence. Additionally, the diffusion propagator approach was applied to the MRF fast imaging with steady-state precession sequence and the resulting signal evolution was qualitatively compared with that generated by the Extended Phase Graphs method.

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