ArticleScientific reports2019
Orientationally-averaged diffusion-attenuated magnetic resonance signal for locally-anisotropic diffusion.
Article in Scientific reports, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
5 citing papers in PubMed.
- Novel pore size-controlled, susceptibility matched, 3D-printed MRI phantoms.Magnetic resonance in medicine · 2024Article
- Article
- Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques.Scientific reports · 2021Article
- The sensitivity of diffusion MRI to microstructural properties and experimental factors.Journal of neuroscience methods · 2021Review
- Direction-averaged diffusion-weighted MRI signal using different axisymmetric B-tensor encoding schemes.Magnetic resonance in medicine · 2020Article
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Authors and funding
5 authors.
Funding
Abstract
Diffusion-attenuated MR signal for heterogeneous media has been represented as a sum of signals from anisotropic Gaussian sub-domains to the extent that this approximation is permissible. Any effect of macroscopic (global or ensemble) anisotropy in the signal can be removed by averaging the signal values obtained by differently oriented experimental schemes. The resulting average signal is identical to what one would get if the micro-domains are isotropically (e.g., randomly) distributed with respect to orientation, which is the case for "powdered" specimens. We provide exact expressions for the orientationally-averaged signal obtained via general gradient waveforms when the microdomains are characterized by a general diffusion tensor possibly featuring three distinct eigenvalues. This extends earlier results which covered only axisymmetric diffusion as well as measurement tensors. Our results are expected to be useful in not only multidimensional diffusion MR but also solid-state NMR spectroscopy due to the mathematical similarities in the two fields.
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Registered trials
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