Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques

Abstract Numerous applications in diffusion MRI involve computing the orientationally-averaged diffusion-weighted signal. Most approaches implicitly assume, for a given b-value, that the gradient sampling vectors are uniformly distributed on a sphere (or ‘shell’), computing the orientationally-avera...

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Autores principales: Maryam Afzali, Hans Knutsson, Evren Özarslan, Derek K. Jones
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Publicado: Nature Portfolio 2021
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spelling oai:doaj.org-article:ee5d6d54f6734bb9bd4922434d9dc71b2021-12-02T16:08:07ZComputing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques10.1038/s41598-021-93558-12045-2322https://doaj.org/article/ee5d6d54f6734bb9bd4922434d9dc71b2021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-93558-1https://doaj.org/toc/2045-2322Abstract Numerous applications in diffusion MRI involve computing the orientationally-averaged diffusion-weighted signal. Most approaches implicitly assume, for a given b-value, that the gradient sampling vectors are uniformly distributed on a sphere (or ‘shell’), computing the orientationally-averaged signal through simple arithmetic averaging. One challenge with this approach is that not all acquisition schemes have gradient sampling vectors distributed over perfect spheres. To ameliorate this challenge, alternative averaging methods include: weighted signal averaging; spherical harmonic representation of the signal in each shell; and using Mean Apparent Propagator MRI (MAP-MRI) to derive a three-dimensional signal representation and estimate its ‘isotropic part’. Here, these different methods are simulated and compared under different signal-to-noise (SNR) realizations. With sufficiently dense sampling points (61 orientations per shell), and isotropically-distributed sampling vectors, all averaging methods give comparable results, (MAP-MRI-based estimates give slightly higher accuracy, albeit with slightly elevated bias as b-value increases). As the SNR and number of data points per shell are reduced, MAP-MRI-based approaches give significantly higher accuracy compared with the other methods. We also apply these approaches to in vivo data where the results are broadly consistent with our simulations. A statistical analysis of the simulated data shows that the orientationally-averaged signals at each b-value are largely Gaussian distributed.Maryam AfzaliHans KnutssonEvren ÖzarslanDerek K. JonesNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-16 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Maryam Afzali
Hans Knutsson
Evren Özarslan
Derek K. Jones
Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques
description Abstract Numerous applications in diffusion MRI involve computing the orientationally-averaged diffusion-weighted signal. Most approaches implicitly assume, for a given b-value, that the gradient sampling vectors are uniformly distributed on a sphere (or ‘shell’), computing the orientationally-averaged signal through simple arithmetic averaging. One challenge with this approach is that not all acquisition schemes have gradient sampling vectors distributed over perfect spheres. To ameliorate this challenge, alternative averaging methods include: weighted signal averaging; spherical harmonic representation of the signal in each shell; and using Mean Apparent Propagator MRI (MAP-MRI) to derive a three-dimensional signal representation and estimate its ‘isotropic part’. Here, these different methods are simulated and compared under different signal-to-noise (SNR) realizations. With sufficiently dense sampling points (61 orientations per shell), and isotropically-distributed sampling vectors, all averaging methods give comparable results, (MAP-MRI-based estimates give slightly higher accuracy, albeit with slightly elevated bias as b-value increases). As the SNR and number of data points per shell are reduced, MAP-MRI-based approaches give significantly higher accuracy compared with the other methods. We also apply these approaches to in vivo data where the results are broadly consistent with our simulations. A statistical analysis of the simulated data shows that the orientationally-averaged signals at each b-value are largely Gaussian distributed.
format article
author Maryam Afzali
Hans Knutsson
Evren Özarslan
Derek K. Jones
author_facet Maryam Afzali
Hans Knutsson
Evren Özarslan
Derek K. Jones
author_sort Maryam Afzali
title Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques
title_short Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques
title_full Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques
title_fullStr Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques
title_full_unstemmed Computing the orientational-average of diffusion-weighted MRI signals: a comparison of different techniques
title_sort computing the orientational-average of diffusion-weighted mri signals: a comparison of different techniques
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/ee5d6d54f6734bb9bd4922434d9dc71b
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AT hansknutsson computingtheorientationalaverageofdiffusionweightedmrisignalsacomparisonofdifferenttechniques
AT evrenozarslan computingtheorientationalaverageofdiffusionweightedmrisignalsacomparisonofdifferenttechniques
AT derekkjones computingtheorientationalaverageofdiffusionweightedmrisignalsacomparisonofdifferenttechniques
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