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Enabling constrained spherical deconvolution and diffusional variance decomposition with tensor-valued diffusion MRI

Philippe Karan, Alexis Reymbaut, Guillaume Gilbert, Maxime Descoteaux
doi: https://doi.org/10.1101/2021.04.07.438845
Philippe Karan
aSherbrooke Connectivity Imaging Laboratory (SCIL), Université de Sherbrooke, Canada
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  • For correspondence: Philippe.Karan@USherbrooke.ca
Alexis Reymbaut
aSherbrooke Connectivity Imaging Laboratory (SCIL), Université de Sherbrooke, Canada
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Guillaume Gilbert
bMR Clinical Science, Philips Healthcare Canada, Markham, ON L6C 2S3, Canada
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Maxime Descoteaux
aSherbrooke Connectivity Imaging Laboratory (SCIL), Université de Sherbrooke, Canada
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Abstract

Diffusion tensor imaging (DTI) is widely used to extract valuable tissue measurements and white matter (WM) fiber orientations, even though its lack of specificity is now well-known, especially for WM fiber crossings. Models such as constrained spherical deconvolution (CSD) take advantage of HARDI data to compute fiber orientation distribution functions (fODF) and tackle the orientational part of the DTI limitations. Furthermore, the recent introduction of tensor-valued diffusion MRI allows for diffusional variance de-composition (DIVIDE), opening the door to the computation of measures more specific to microstructure than DTI measures, such as microscopic fractional anisotropy (µFA). However, tensor-valued diffusion MRI data is not compatible with latest versions of CSD and the impacts of such atypical data on fODF reconstruction with CSD are yet to be studied. In this work, we lay down the mathematical and computational foundations of a tensor-valued CSD and use simulated data to explore the effects of various combinations of diffusion encodings on the angular resolution of extracted fOFDs. We also compare the combinations with regards to their performance at producing accurate and precise µFA with DIVIDE, and present an optimised protocol for both methods. We show that our proposed protocol enables the reconstruction of both fODFs and µFA on in vivo data.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted April 07, 2021.
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Enabling constrained spherical deconvolution and diffusional variance decomposition with tensor-valued diffusion MRI
Philippe Karan, Alexis Reymbaut, Guillaume Gilbert, Maxime Descoteaux
bioRxiv 2021.04.07.438845; doi: https://doi.org/10.1101/2021.04.07.438845
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Enabling constrained spherical deconvolution and diffusional variance decomposition with tensor-valued diffusion MRI
Philippe Karan, Alexis Reymbaut, Guillaume Gilbert, Maxime Descoteaux
bioRxiv 2021.04.07.438845; doi: https://doi.org/10.1101/2021.04.07.438845

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