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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