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  A unique analytical solution of the white matter standard model using linear and planar encodings

Reisert, M., Kiselev, V. D., & Dhital, B. (2019). A unique analytical solution of the white matter standard model using linear and planar encodings. Magnetic Resonance in Medicine, 81(6), 3819-3825. doi:10.1002/mrm.27685.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-2C79-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-5CA8-9
Genre: Journal Article

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 Creators:
Reisert, Marco1, 2, 3, Author
Kiselev, Valerij D.1, 3, Author
Dhital, Bibek1, 3, 4, Author              
Affiliations:
1University Medical Center, Freiburg, Germany, ou_persistent22              
2Department of Stereotactic and Functional Neurosurgery, University Medical Center, Freiburg, Germany, ou_persistent22              
3Department of Medical Physics, University Medical Center, Freiburg, Germany, ou_persistent22              
4Department Neurophysics, MPI for Human Cognitive and Brain Sciences, Max Planck Society, ou_634550              

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Free keywords: Diffusion MRI; double diffusion encoding; white matter modeling
 Abstract: PURPOSE: It is known that white matter modeling based on commonly used linear diffusion encoding is an ill-posed problem. We analyze the additional information gained from a double pulsed diffusion encoding. METHODS: Zeroth (spherical means) and second-order (harmonic powers) rotation invariant signal features are used to factor micro- and mesoscopic contributions. The b-value dependency up to second-order of the features form 6 nonlinear equations, which are analyzed. RESULTS: The 6 derived equations can be uniquely solved for all relevant biophysical parameters. No assumptions about the form of the mesoscopic contribution (fiber dispersion) is necessary. Under certain conditions the solution still shows a certain degeneracy which is inherent to model. It is further shown that a combination of second-order information from single and spherical diffusion encoding is not enough to solve the problem. CONCLUSIONS: A combination of single and double pulsed diffusion encodings is sufficient to solve the full 3 compartment white matter model uniquely.

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Language(s): eng - English
 Dates: 2019-01-152018-09-212019-01-172019-02-272019-06
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1002/mrm.27685
PMID: 30809854
Other: Epub ahead of print
 Degree: -

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Title: Magnetic Resonance in Medicine
Source Genre: Journal
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Publ. Info: New York : Wiley-Liss
Pages: - Volume / Issue: 81 (6) Sequence Number: - Start / End Page: 3819 - 3825 Identifier: ISSN: 0740-3194
CoNE: https://pure.mpg.de/cone/journals/resource/954925538149