Characterizing magnetic resonance signal decay due to gaussian diffusion: The path integral approach and a convenient computational method

摘要: The influence of Gaussian diffusion on the magnetic resonance signal is determined by apparent coefficient (ADC) and tensor (ADT) diffusing fluid as well gradient waveform applied to sensitize diffusion. Estimations ADC ADT from diffusion-weighted acquisitions necessitate computations of, respectively, b-value b-matrix associated with employed pulse sequence. We establish relationship between these quantities expressing problem a path integral explicitly evaluating it. Further, we show that important can be conveniently computed for any using simple algorithm requires few lines code. With this representation, our technique complements multiple correlation function (MCF) method commonly used compute effects restricted diffusion, provides consistent convenient framework studies aim infer microstructural features specimen.