BOLD Noise Assumptions in fMRI

This paper discusses the assumption of Gaussian noise in the blood-oxygenation-dependent (BOLD) contrast for functional MRI (fMRI). In principle, magnitudes in MRI images follow a Rice distribution. We start by reviewing differences between Rician and Gaussian noise. An analytic expression is derive...

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Main Authors: Alle Meije Wink, Jos B. T. M. Roerdink
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Biomedical Imaging
Online Access:http://dx.doi.org/10.1155/IJBI/2006/12014
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author Alle Meije Wink
Jos B. T. M. Roerdink
author_facet Alle Meije Wink
Jos B. T. M. Roerdink
author_sort Alle Meije Wink
collection DOAJ
description This paper discusses the assumption of Gaussian noise in the blood-oxygenation-dependent (BOLD) contrast for functional MRI (fMRI). In principle, magnitudes in MRI images follow a Rice distribution. We start by reviewing differences between Rician and Gaussian noise. An analytic expression is derived for the null (resting-state) distribution of the difference between two Rician distributed images. This distribution is shown to be symmetric, and an exact expression for its standard deviation is derived. This distribution can be well approximated by a Gaussian, with very high precision for high SNR, and high precision for lower SNR. Tests on simulated and real MR images show that subtracting the time-series mean in fMRI yields asymmetrically distributed temporal noise. Subtracting a resting-state time series from the first results in symmetric and nearly Gaussian noise. This has important consequences for fMRI analyses using standard statistical tests.
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spelling doaj-art-6a341b41e25242a68fc310a56b3a92b72025-02-03T06:07:45ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962006-01-01200610.1155/IJBI/2006/1201412014BOLD Noise Assumptions in fMRIAlle Meije Wink0Jos B. T. M. Roerdink1Brain Mapping Unit, Department of Psychiatry, University of Cambridge, Addenbrooke's Hospital, Hills Road, Cambridge CB2 2QQ, United KingdomInstitute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, Groningen 9700 AV, The NetherlandsThis paper discusses the assumption of Gaussian noise in the blood-oxygenation-dependent (BOLD) contrast for functional MRI (fMRI). In principle, magnitudes in MRI images follow a Rice distribution. We start by reviewing differences between Rician and Gaussian noise. An analytic expression is derived for the null (resting-state) distribution of the difference between two Rician distributed images. This distribution is shown to be symmetric, and an exact expression for its standard deviation is derived. This distribution can be well approximated by a Gaussian, with very high precision for high SNR, and high precision for lower SNR. Tests on simulated and real MR images show that subtracting the time-series mean in fMRI yields asymmetrically distributed temporal noise. Subtracting a resting-state time series from the first results in symmetric and nearly Gaussian noise. This has important consequences for fMRI analyses using standard statistical tests.http://dx.doi.org/10.1155/IJBI/2006/12014
spellingShingle Alle Meije Wink
Jos B. T. M. Roerdink
BOLD Noise Assumptions in fMRI
International Journal of Biomedical Imaging
title BOLD Noise Assumptions in fMRI
title_full BOLD Noise Assumptions in fMRI
title_fullStr BOLD Noise Assumptions in fMRI
title_full_unstemmed BOLD Noise Assumptions in fMRI
title_short BOLD Noise Assumptions in fMRI
title_sort bold noise assumptions in fmri
url http://dx.doi.org/10.1155/IJBI/2006/12014
work_keys_str_mv AT allemeijewink boldnoiseassumptionsinfmri
AT josbtmroerdink boldnoiseassumptionsinfmri