1990
DOI: 10.1002/mrm.1910140303
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Measurement of translational displacement probabilities by NMR: An indicator of compartmentation

Abstract: We introduce and demonstrate an NMR pulsed gradient stimulated echo method of directly obtaining the molecular translational displacement probability (displacement profile) of a liquid. The temporal development of the displacement profile reflects the presence of diffusion, restrictions to diffusion (e.g., walls, membranes), flow, and spatially dependent relaxation sinks. This approach allows the study of compartments which are too small to be observed by conventional NMR imaging methods. The distribution of s… Show more

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Cited by 410 publications
(405 citation statements)
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“…In fact, the diffusion MRI experiment produces a signal that is the Fourier transform of the diffusion PDF at every imaged brain location. Through this fundamental relationship between MR signal and PDF, it is possible to recover for every imaging voxel the local diffusion PDF, provided that the MR signal is appropriately sampled (Callaghan, 1991;Cory and Garroway, 1990;Wedeen et al, 2005).…”
Section: Mapping the Connectome With Mrimentioning
confidence: 99%
“…In fact, the diffusion MRI experiment produces a signal that is the Fourier transform of the diffusion PDF at every imaged brain location. Through this fundamental relationship between MR signal and PDF, it is possible to recover for every imaging voxel the local diffusion PDF, provided that the MR signal is appropriately sampled (Callaghan, 1991;Cory and Garroway, 1990;Wedeen et al, 2005).…”
Section: Mapping the Connectome With Mrimentioning
confidence: 99%
“…This was also done Second, non-uniform q-space signals were regridded onto a 9x9x9 Cartesian lattice using a bilinear interpolation algorithm (MATLAB function "griddatan") (Barder et al, 1996). After sample interpolation, the probability density function (PDF) of the water diffusion displacement at the diffusion time Δ was calculated using the Fourier Transform (FT) of the normalized q-space signals (Callaghan, 1991;Cory and Garroway, 1990;Wedeen et al, 2000Wedeen et al, , 2005,…”
Section: Hydi Data Processingmentioning
confidence: 99%
“…In this study, the definition of Po was extended to a three dimensional calculation. The definition of the "mean-displacement", however, was slightly different as they calculated the mean-displacement using the FWHM described in the paper by Cory et al (1990).…”
Section: Hydi Data Processingmentioning
confidence: 99%
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“…7. The NAA signal attenuation curves are non- Recently, Assaf et al 48 have reported the use of the qspace analysis 49 as a promising means to extract structural information from DW-MRS. In the q-space approach, the displacement profile [i.e.…”
Section: Brainmentioning
confidence: 99%