Characterization and propagation of uncertainty in diffusion-weighted MR imaging
Abstract
A fully probabilistic framework is presented for estimating local probability density functions on parameters of interest in a model of diffusion. This technique is applied to the estimation of parameters in the diffusion tensor model, and also to a simple partial volume model of diffusion. In both cases the parameters of interest include parameters defining local fiber direction. A technique is then presented for using these density functions to estimate global connectivity (i.e., the probability of the existence of a connection through the data field, between any two distant points), allowing for the quantification of belief in tractography results. This technique is then applied to the estimation of the cortical connectivity of the human thalamus. The resulting connectivity distributions correspond well with predictions from invasive tracer methods in nonhuman primate.
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Probabilistic approaches have been used to create the first atlases of large-scale brain connections.
“Probabilistic approaches have also been used to create the first atlases of large-scale brain connections (Behrens et al., 2003; Hagmann et al., 2003; Parker et al., 2003).”
From 40 Years of diffusion MRI in the brain: From history to emerging frontiers (2026) · cites this paper as Behrens et al., 2003
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- Authors
- Behrens, T. E. J., Woolrich, M. W., Jenkinson, M., Johansen‐Berg, H., Nunes, R. G., Clare, S., Matthews, P. M., Brady, J. M., & Smith, S. M.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Behrens, T.E.J.
- ORCID
- Venue
- Magnetic Resonance in Medicine
- Publisher
- Wiley
- Published
- 2003-10-24
- Volume
- 50
- Issue
- 5
- Pages
- 1077-1088
- ISSN
- 0740-3194 (ISSN-L)
- 1522-2594
- OpenAlex
- W2142059961
- Cited by
- 3,038
- References
- 4
- Citations by year
- 2026: 57 · 2025: 97 · 2024: 108 · 2023: 122 · 2022: 167 · 2021: 192 · 2020: 179 · 2019: 187 · 2018: 172 · 2017: 209 · 2016: 196 · 2015: 191 · 2014: 195 · 2013: 208 · 2012: 153
- FWCI
- 21.42
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Magnetic Resonance in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Multiple Sclerosis Society
- Topics
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced MRI Techniques and Applications
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Keywords
- diffusion-weighted imaging, error propagation, probabilistic parameter estimation, diffusion tensor model, tractography, global connectivity, cortical connectivity, thalamus, human brain
- MeSH terms
- Algorithms, Humans, Image Processing, Computer-Assisted, Thalamus, Models, Statistical, Anisotropy, Diffusion Magnetic Resonance Imaging
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