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Orientationally-averaged diffusion-attenuated magnetic resonance signal for locally-anisotropic diffusion
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Biomedical Engineering, Division of Biomedical Engineering. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Biomedical Engineering, Division of Biomedical Engineering. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-9091-4724
Linköping University, Department of Biomedical Engineering, Division of Biomedical Engineering. Linköping University, Faculty of Science & Engineering. Harvard Med Sch, MA 02115 USA.
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2019 (English)In: Scientific Reports, ISSN 2045-2322, E-ISSN 2045-2322, Vol. 9, article id 4899Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
NATURE PUBLISHING GROUP , 2019. Vol. 9, article id 4899
National Category
Biophysics
Identifiers
URN: urn:nbn:se:liu:diva-156201DOI: 10.1038/s41598-019-41317-8ISI: 000461762600016PubMedID: 30894611OAI: oai:DiVA.org:liu-156201DiVA, id: diva2:1303229
Note

Funding Agencies|Swedish Foundation for Strategic Research [AM13-0090]; Swedish Research Council CADICS Linneaus research environment; Swedish Research Council [2016-04482, 2015-05356]; Linkoping University Center for Industrial Information Technology (CENIIT) [VINNOVA/ITEA3 17021 IMPACT]; Knut and Alice Wallenberg Foundation project "Seeing Organ Function"; National Institutes of Health [P41EB015902]

Available from: 2019-04-09 Created: 2019-04-09 Last updated: 2019-04-09

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Herberthson, MagnusYolcu, CemKnutsson, HansWestin, Carl-FredrikÖzarslan, Evren
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