High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity
Abstract
Magnetic resonance (MR) diffusion tensor imaging (DTI) can resolve the white matter fiber orientation within a voxel provided that the fibers are strongly aligned. However, a given voxel may contain a distribution of fiber orientations due to, for example, intravoxel fiber crossing. The present study sought to test whether a geodesic, high b-value diffusion gradient sampling scheme could resolve multiple fiber orientations within a single voxel. In regions of fiber crossing the diffusion signal exhibited multiple local maxima/minima as a function of diffusion gradient orientation, indicating the presence of multiple intravoxel fiber orientations. The multimodality of the observed diffusion signal precluded the standard tensor reconstruction, so instead the diffusion signal was modeled as arising from a discrete mixture of Gaussian diffusion processes in slow exchange, and the underlying mixture of tensors was solved for using a gradient descent scheme. The multitensor reconstruction resolved multiple intravoxel fiber populations corresponding to known fiber anatomy. Ma
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The DTI model cannot differentiate tissue compartments or crossing fibers, which are estimated to occur in up to 90% of white matter voxels at typical dMRI resolution.
“The DTI model cannot differentiate these components or even crossing fibers (Tuch et al., 2002; Jbabdi et al., 2010), which are estimated to occur in up to 90% of WM voxels at the typical dMRI resolution (Descoteaux et al., 2009; Jeurissen et al., 2013).”
From Diffusion MRI Indices and Their Relation to Cognitive Impairment in Brain Aging: The Updated Multi-protocol Approach in ADNI3 (2019) · cites this paper as Tuch et al., 2002
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Probabilistic diffusion tractography with multiple fibre orientations: What can we gain?
Behrens, T. E. J., Berg, H. J., Jbabdi, S., Rushworth, M. F. S., & Woolrich, M. W. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2006.09.018 · Cited by 3,471 · see citing works
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BackgroundMethodWhite matter integrity, fiber count, and other fallacies: The do's and don'ts of diffusion MRI
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BackgroundNon-invasive mapping of connections between human thalamus and cortex using diffusion imaging
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Looking into the functional architecture of the brain with diffusion MRI.
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“Among such strategies, the direct processing (bypassing the tensor calculation) of diffusion-weighted images acquired with a high angular resolution (through diffusion measurements along many directions) has proved successfu”
BackgroundDiffusion tensor imaging (DTI)-based white matter mapping in brain research: a review
Assaf, Y., & Pasternak, O. (2008) · Journal of Molecular Neuroscience · doi:10.1007/s12031-007-0029-0 · Cited by 1,537 · see citing works
“Areas of tissue partial volume (where white/gray matter or white matter/CSF reside in the same pixel) or of white matter partial volume (where two fiber systems cross the same pixel often in different orientations) are examples of where the DTI model will fail (Papadakis et al. 2002; Tuch et al. 2002; Jansons and Alex…”
BackgroundMethodInfluentialJeurissen, B., Tournier, J.-D., Dhollander, T., Connelly, A., & Sijbers, J. (2014) · NeuroImage · doi:10.1016/j.neuroimage.2014.07.061 · Cited by 1,484 · see citing works
“First, voxels are selected for which the fractional anisotropy (FA) derived with DTI exceeds a threshold value (FA N 0.7), as these voxels are deemed to contain a single, clearly defined fibre orientation.”
InfluentialDipy, a library for the analysis of diffusion MRI data
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“Due to their practical mathematical properties, there have been several proposals using spherical harmonics to describe the apparent diffusion coefficient (ADC) computed from HARDI, starting from the work of Frank (2001, 2002) and Alexander et al. (2002) and Tuch et al. (2002).”
BackgroundMethodInfluentialMRtrix: Diffusion tractography in crossing fiber regions
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“This acquisition sequence now forms the basis of most higher-order fiber orientation estimation algorithms (Tuch et al., 2002; Jansons and Alexander, 2003; Tournier et al., 2004, 2011; Tuch, 2004; Alexander and Barker, 2005; Alexander, 2005; Anderson, 2005; Özarslan et al., 2006; Dell’Acqua et al., 2007; Tournier, 201…”
BackgroundMethodInfluentialMapping complex tissue architecture with diffusion spectrum magnetic resonance imaging
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“alx l [25]”
Self-citationDeterministic diffusion fiber tracking improved by quantitative anisotropy
Yeh, F.-C., Verstynen, T. D., Wang, Y., Fernández-Miranda, J. C., & Tseng, W.-Y. I. (2013) · PLoS ONE · doi:10.1371/journal.pone.0080713 · Cited by 1,121 · see citing works
“The diffusion sampling schemes included the HARDI-253 (shell scheme) and DSI-203 (grid scheme) schemes that were previously documented in an optimization study [35].”
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“With recent advances in high-angular resolution diffusion imaging (HARDI) [Tuch et al., 2002], it is now possible to reliably extract fiber orientations in regions of increased complexity [Alexander, 2006; Tournier et al.”
BackgroundMethodInfluentialSchmahmann, J. D., Pandya, D. N., Wang, R., Dai, G., D'Arceuil, H. E., de Crespigny, A. J., & Wedeen, V. J. (2007) · Brain · doi:10.1093/brain/awl359 · Cited by 1,067 · see citing works
“…spectrum imaging (DSI), an essentially model-free imaging approach that has the ability to map complex fibre architecture at the scale of single MRI voxels (Tuch et al., 2002; Wedeen et al., 2005; Wedeen VJ, Wang RP, Schmahmann JD, Benner T, Tseng WYI, D’Arcuiel H et al. submitted for publication).”
BackgroundSelf-citationGeneralized ${ q}$-Sampling Imaging
Yeh, F.-C. F., Wedeen, V. J., & Tseng, W. I. (2010) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2010.2045126 · Cited by 1,030 · see citing works
“These model-based methods include the multiple Gaussian model [9]–[11], generalized diffusion tensor [12], [13], spherical harmonic decomposition [14], continuous axially symmetric tensors [15],”
MethodSelf-citationShenton, M. E., Hamoda, H. M., Schneiderman, J. S., Sylvain Bouix, A., Pasternak, O., Yogesh Rathi, A., Vu, M.-A. T., Purohit, M. P., Helmer, K. G., Koerte, I. K., et al. (2012) · Brain Imaging and Behavior · doi:10.1007/s11682-012-9156-5 · Cited by 942 · see citing works
Diffusion spectrum magnetic resonance imaging (DSI) tractography of crossing fibers
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“…to alternative strategies of diffusion encoding, many methods of high angular resolution diffusion encoding have now been reported in the literature including the present method DSI (Wedeen et al., 2005), as well as Q-ball imaging (Tuch et al., 2002) and HARDI imaging (Parker and Alexander, 2005).”
MethodInfluentialSelf-citationDiffusion tensor imaging and beyond
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“Its anisotropy is also typically fixed (90,97,127), although some implementations allow the anisotropy to vary (127,130).”
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“The WU-Minn consortium, however, decided instead to use the high-angular resolution diffusion imaging (HARDI) approach (Tuch et al., 2002) but modified to incorporate multiple shells of b values (Caruyer et al., 2011; Sotiropoulos et al., 2013a).”
MethodA hitchhiker's guide to diffusion tensor imaging
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“…1977; Stehling et al., 1991; Turner et al., 1991; Nana et al., 2008) the typical strategy employed to reduce this sensitivity (Stehling et al., 1991; Turner et al., 1991; Nana et al., 2008); however, alternative sequences, such as Fast Spin Echo (FSE) (Seifert et al., 2000; Pipe et al., 2002),…”
MethodAdvances in diffusion MRI acquisition and processing in the Human Connectome Project
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“Despite the success of the ball & stick model in resolving fibre crossings in HARDI datasets (Behrens et al., 2007), the employed kernel R can capture only monoexponential decay of the signal in q-space.”
MethodComposite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain
Assaf, Y., & Basser, P. J. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2005.03.042 · Cited by 856 · see citing works
“9 shows the same but for the two-fiber data modeled by a dual tensor (Inglis et al., 2001; Tuch et al., 2002) and CHARMED framework with one hindered and two restricted compartments.”
BackgroundRegularized, fast, and robust analytical Q-ball imaging
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A review of diffusion tensor imaging studies in schizophrenia
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“Moreover, higher angular data can be used to solve the problem of fiber crossings, and to guide fiber tracking in areas where the anisotropy is low, and where uncertainty exists with respect to the major direction of diffusion (Tuch et al., 2002; Frank, 2002).”
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“However, Dyrby et al. (55) found that someHARDImethods, such as Q-ball showed optimal tractography results with higher bvalues.”
MethodInfluentialThe cingulum bundle: Anatomy, function, and dysfunction
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Orientationally invariant indices of axon diameter and density from diffusion MRI
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“Unlike previous multishell HARDI acquisitions, all three variables of the PGSE sequence (gradient strength |G|, pulse width δ, and separation Δ) vary between different shells, which provides the sensitivity to axon diameter.”
BackgroundMethodInfluentialDiffusion MRI of complex neural architecture.
Tuch, D. S., Reese, T. G., Wiegell, M. R., & Wedeen, V. J. (2003) · Neuron · doi:10.1016/s0896-6273(03)00758-x · Cited by 698 · see citing works
Self-citationTractography: Where Do We Go from Here?
Jbabdi, S., & Johansen-Berg, H. (2011) · Brain Connectivity · doi:10.1089/brain.2011.0033 · Cited by 614 · see citing works
“…2009; Behrens et al., 2003b; Johansen-Berg et al., 2004; Tomassini et al., 2007) and (b) (Johansen-Berg et al., 2008). diffusion, and estimate these directions (as well as the number of such directions) from the diffusion data (Assaf et al., 2004; Parker and Alexander, 2003; Tuch et al., 2002).”
The development of brain white matter microstructure
Lebel, C., & Deoni, S. (2018) · NeuroImage · doi:10.1016/j.neuroimage.2017.12.097 · Cited by 602 · see citing works
“Acquisition techniques such as high angular resolution diffusion imaging (HARDI)(Tuch et al., 2002) and diffusion spectrum imaging (DSI)(Wedeen et al.”
MethodRaffelt, D., Tournier, J.-D., Rose, S., Ridgway, G., Henderson, R., Crozier, S., Salvado, O., & Connelly, A. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2011.10.045 · Cited by 616 · see citing works
“The method is based on the assumption that the measured HARDI signal can be expressed as the convolution over spherical coordinates of a single canonical fibre response function with the fibre orientation distribution (FOD).”
InfluentialAccelerated microstructure imaging via Convex Optimization (AMICO) from diffusion MRI data
Daducci, A., Canales-Rodríguez, E. J., Zhang, H., Dyrby, T. B., Alexander, D. C., & Thiran, J.-P. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2014.10.026 · Cited by 593 · see citing works
“A simple evolution of DTI was proposed by Behrens et al. (2003) to distinguish between water molecules that diffuse inside and around the axons, which are modeled as ideal cylinders with zero radius, and those moving freely with isotropic diffusion.”
BackgroundMethodInfluentialTournier, J., Yeh, C., Calamante, F., Cho, K.-H., Connelly, A., & Lin, C. (2008) · NeuroImage · doi:10.1016/j.neuroimage.2008.05.002 · Cited by 591 · see citing works
“To address this issue, a number of approaches have recently been proposed to estimate fibre orientations robustly in the presence of partial volume effects (Tuch, 2004; Wedeen et al., 2005; Jansons and Alexander, 2003; Özarslan et al., 2006; Tuch et al., 2002; Hosey et al., 2005; Behrens et al., 2007; Anderson, 2005;…”
“Squashing peanuts and smashing pumpkins”: How noise distorts diffusion‐weighted MR data
Jones, D. K., & Basser, P. J. (2004) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20283 · Cited by 590 · see citing works
Diffusion MRI fiber tractography of the brain
Jeurissen, B., Descoteaux, M., Mori, S., & Leemans, A. (2019) · NMR in Biomedicine · doi:10.1002/nbm.3785 · Cited by 574 · see citing works
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“, 2002), based on non-tensor models (Frank, 2001; Tuch et al., 2002), would be necessary.”
BackgroundAn Introduction to Diffusion Tensor Image Analysis
O’Donnell, L. J., & Westin, C. (2011) · Neurosurgery Clinics of North America · doi:10.1016/j.nec.2010.12.004 · Cited by 533 · see citing works
“However, the diffusion tensor is not able to fully describe crossing of the fiber tracts.(12,13) The popularity of DTI has been enormous.”
Assaf, Y., Freidlin, R. Z., Rohde, G. K., & Basser, P. J. (2004) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20274 · Cited by 519 · see citing works
NTU-90: A high angular resolution brain atlas constructed by q-space diffeomorphic reconstruction
Yeh, F.-C. F., & Tseng, W. I. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2011.06.021 · Cited by 509 · see citing works
“To satisfy these purposes, studies have been conducted using affine transform (Jones et al., 2002; Mori et al., 2008; Muller et al., 2007) or nonlinear transformation (Ardekani and Sinha, 2006;Goodlett et al., 2006; Park et al., 2003; Penget al., 2009; VanHecke et al., 2008; Xu et al., 2003; Zhang et al., 2006, 2011).”
MethodLateralization of ventral and dorsal auditory-language pathways in the human brain
Parker, G. J. M., Luzzi, S., Alexander, D. C., Wheeler‐Kingshott, C. A. M. G., Ciccarelli, O., & Ralph, M. A. L. (2004) · NeuroImage · doi:10.1016/j.neuroimage.2004.08.047 · Cited by 490 · see citing works
“In voxels containing n different fiber directions, a multi-Gaussian model is more appropriate (Alexander et al., 2001, 2002; Frank, 2002; Tuch et al., 2002): S ˆ k k; b À Á ¼ S 0 ð Þ X n i ¼ 1 a i exp À b ˆ k k T D i ˆ k k à :  ð3Þ We use a spherical harmonic (SH) model of d(k) to identify voxels…”
Studying connections in the living human brain with diffusion MRI
Jones, D. K. (2008) · Cortex · doi:10.1016/j.cortex.2008.05.002 · Cited by 480 · see citing works
White matter fiber tractography: why we need to move beyond DTI
Farquharson, S., Tournier, J., Calamante, F., Fabinyi, G., Schneider, M. E., Jackson, G. D., & Connelly, A. (2013) · Journal of neurosurgery · doi:10.3171/2013.2.jns121294 · Cited by 468 · see citing works
Beyond the arcuate fasciculus: consensus and controversy in the connectional anatomy of language
Dick, A. S., & Tremblay, P. (2012) · Brain · doi:10.1093/brain/aws222 · Cited by 470 · see citing works
“High angular resolution diffusion imaging and diffusion spectrum imaging both attempt to deal with the misidentification of pathways due to crossing fibres (Tuch et al., 2002; Tuch, 2004; Wedeen et al., 2005, 2008; Schmahmann et al., 2007; Lazar, 2010).”
BackgroundPreoperative and Intraoperative Diffusion Tensor Imaging-based Fiber Tracking in Glioma Surgery
Nimsky, C., Ganslandt, O., Hastreiter, P., Wang, R., Benner, T., Sorensen, A. G., & Fahlbusch, R. (2005) · Neurosurgery · doi:10.1227/01.neu.0000144842.18771.30 · Cited by 442 · see citing works
“Techniques that can resolve multiple axon directions within a single voxel (43), such as q-ball imaging, may solve the problem of white matter fiber crossings, as well as white matter insertions into the cortex (44).”
Networks of anatomical covariance
Evans, A. C. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2013.05.054 · Cited by 429 · see citing works
“…from its earliest origins (Basser et al., 1994, 2000; Jones et al., 1999; Le Bihan et al., 1986) with many advances in acquisition, e.g. HARDI (Tuch et al., 2002) and analysis (Behrens et al., 2007; Canales-Rodríguez et al., 2010a, 2010b; Jbabdi et al., 2007; Lazar et al., 2003; Mori et al.,…”
BackgroundCompartment models of the diffusion MR signal in brain white matter: A taxonomy and comparison
Panagiotaki, E., Schneider, T., Siow, B., Hall, M. G., Lythgoe, M. F., & Alexander, D. C. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2011.09.081 · Cited by 422 · see citing works
“…• the " BallStick " model (Behrens et al., 2003), • the " Bizeppelin " model (Alexander and Barker, 2005; Parker and Alexander, 2003; Peled et al., 2006; Tuch et al., 2002), which is a three-dimensional analogue of the biexponential model (Clark and Le Bihan, 2000; Niendorf et al., 1996) •…”
Imaging human connectomes at the macroscale
Craddock, R. C., Jbabdi, S., Yan, C.-G., Vogelstein, J. T., Castellanos, F. X., Di Martino, A., Kelly, C., Heberlein, K., Colcombe, S., & Milham, M. P. (2013) · Nature Methods · doi:10.1038/nmeth.2482 · Cited by 419 · see citing works
Powell, R., Parker, G. J. M., Alexander, D. C., Symms, M. R., Boulby, P. A., Wheeler‐Kingshott, C. A. M. G., Barker, G. J., Noppeney, U., Koepp, M. J., & Duncan, J. S. (2006) · NeuroImage · doi:10.1016/j.neuroimage.2006.03.011 · Cited by 417 · see citing works
“…of diffusion (diffusivity), the directionality of the motion (anisotropy) and the principal orientation(s) of diffusion for each voxel (Jansons and Alexander, 2003; Pierpaoli et al., 1996; Pierpaoli and Basser, 1996; Tournier et al., 2004; Tuch et al., 2002, 2003; Tuch, 2004) may be calculated.”
BackgroundMethodTournier, J. ‐., Calamante, F., & Connelly, A. (2013) · NMR in Biomedicine · doi:10.1002/nbm.3017 · Cited by 403 · see citing works
“Many of these higher order models rely on data acquired using so-called high-angular-resolution diffusion-weighted imaging (HARDI) (12), whereby a relatively large number of diffusion-weighted (DW) images are acquired with the same b value, each sensitised to diffusion along a distinct direction so as to sample orient…”
BackgroundMethodCalamante, F., Tournier, J., Jackson, G. D., & Connelly, A. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2010.07.024 · Cited by 399 · see citing works
“Therefore, the TDI method benefits from the use of so-called high angular resolution diffusion imaging (HARDI) data (Tuch et al., 2002).”
Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT)
Özarslan, E., Shepherd, T. M., Vemuri, B. C., Blackband, S. J., & Mareci, T. H. (2006) · NeuroImage · doi:10.1016/j.neuroimage.2006.01.024 · Cited by 388 · see citing works
“It has been shown that the diffusivity profile has a complicated structure in voxels with orientational heterogeneity (von dem Hagen and Henkelman, 2002; Tuch et al., 2002).”
BackgroundLawes, I. N. C., Barrick, T. R., Murugam, V., Spierings, N. M. K., Evans, D. R., Song, M., & Clark, C. A. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2007.06.041 · Cited by 369 · see citing works
Aganj, I., Lenglet, C., Sapiro, G., Yacoub, E. S., Uǧurbil, K., & Harel, N. (2010) · Magnetic Resonance in Medicine · doi:10.1002/mrm.22365 · Cited by 369 · see citing works
“Thus, an alternative approach based on sampling only on one or multiple spherical shells in q-space has been proposed, referred to as high angular resolution diffusion imaging (HARDI) (2).”
BackgroundMethodInfluentialProbabilistic fiber tracking using the residual bootstrap with constrained spherical deconvolution
Jeurissen, B., Leemans, A., Jones, D. K., Tournier, J., & Sijbers, J. (2010) · Human Brain Mapping · doi:10.1002/hbm.21032 · Cited by 369 · see citing works
“However, in voxels containing multiple fiber orientations, this model has been shown to be inadequate [Alexander et al., 2002; Frank, 2001, 2002; Tuch et al., 2002].”
MethodInfluentialQ‐ball reconstruction of multimodal fiber orientations using the spherical harmonic basis
Hess, C. P., Mukherjee, P., Han, E. T., Xu, D., & Vigneron, D. B. (2006) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20931 · Cited by 362 · see citing works
A petavoxel fragment of human cerebral cortex reconstructed at nanoscale resolution
Shapson-Coe, A., Januszewski, M., Berger, D. R., Pope, A., Wu, Y., Blakely, T., Schalek, R. L., Li, P. H., Wang, S., Maitin-Shepard, J., et al. (2024) · Science · doi:10.1126/science.adk4858 · Cited by 361 · see citing works
Lebel, C., Treit, S., & Beaulieu, C. (2019) · NMR in Biomedicine · doi:10.1002/nbm.3778 · Cited by 379 · see citing works
MR diffusion kurtosis imaging for neural tissue characterization
Wu, E. X., & Cheung, M. M. (2010) · NMR in Biomedicine · doi:10.1002/nbm.1506 · Cited by 351 · see citing works
“Even in WM, the DTI model can fail if the tissue contains substantial crossing or diverging fibers (7).”
Multi-compartment microscopic diffusion imaging
Kaden, E., Kelm, N. D., Carson, R. P., Does, M. D., & Alexander, D. C. (2016) · NeuroImage · doi:10.1016/j.neuroimage.2016.06.002 · Cited by 345 · see citing works
Diffusion-Tensor MR Imaging and Tractography: Exploring Brain Microstructure and Connectivity
Nucifora, P. G. P., Verma, R., Lee, S., & Melhem, E. R. (2007) · Radiology · doi:10.1148/radiol.2452060445 · Cited by 342 · see citing works
“DT imaging is based on a very limited sampling of q-space, and the resulting ellipsoids rely on several assumptions regarding the properties of diffusion in a voxel (49,55).”
BackgroundParker, G. J. M., & Alexander, D. C. (2005) · Philosophical Transactions of the Royal Society B Biological Sciences · doi:10.1098/rstb.2005.1639 · Cited by 339 · see citing works
“…methods can identify more than one fibre population within a voxel, but again require the use of an explicit model of the multi-fibre population, and to date have not shown the capability to distinguish more than two fibre populations per voxel (Tuch et al. 2002; Parker & Alexander 2003a,b).”
MethodMR Tractography: A Review of Its Clinical Applications
Yamada, K., Sakai, K., Akazawa, K., Yuen, S., & Nishimura, T. (2009) · Magnetic Resonance in Medical Sciences · doi:10.2463/mrms.8.165 · Cited by 297 · see citing works
Symmetric diffeomorphic registration of fibre orientation distributions
Raffelt, D., Tournier, J.-D., Fripp, J., Crozier, S., Connelly, A., & Salvado, O. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2011.02.014 · Cited by 281 · see citing works
“Fibre orientation distribution Registration Spatial normalisation HARDI Diffusion MRI Registration of diffusion-weighted images is an important step in comparing white matter fibre bundles across subjects, or in the same subject at different time points.”
A novel approach to the human connectome: Ultra-high resolution mapping of fiber tracts in the brain
Axer, M., Amunts, K., Gräßel, D., Palm, C., Dammers, J., Axer, H., Pietrzyk, U., & Zilles, K. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2010.08.075 · Cited by 280 · see citing works
“…methods were applied to the human brain in vivo (Basser et al., 1994; Pierpaoli and Basser, 1996; Beaulieu, 2002; Conturo et al., 1999; Hagmann et al., 2003; Schmahmann et al., 2007; Naidich et al., 2008; Mori and Zhang, 2006; Johansen-Berg and Rushworth, 2009; Tuch et al., 2002, 2003; Tuch, 2004).”
Disconnection syndromes of basal ganglia, thalamus, and cerebrocerebellar systems
Schmahmann, J. D., & Pandya, D. Ν. (2008) · Cortex · doi:10.1016/j.cortex.2008.04.004 · Cited by 280 · see citing works
White matter pathology isolates the hippocampal formation in Alzheimer's disease
Salat, D. H., Tuch, D. S., van der Kouwe, A. J. W., Greve, D. N., Pappu, V., Lee, S. Y., Hevelone, N. D., Zaleta, A. K., Growdon, J. H., Corkin, S., et al. (2010) · Neurobiology of Aging · doi:10.1016/j.neurobiolaging.2008.03.013 · Cited by 279 · see citing works
“Methods to enhance spatial [40,42,43] and angular [84,85] resolution will be necessary to fully exclude concerns about eddy current and susceptibility artifact distortions.”
Self-citationFixel-based Analysis of Diffusion MRI: Methods, Applications, Challenges and Opportunities
Dhollander, T., Clemente, A., Singh, M., Boonstra, F. M. C., Civier, O., Duque, J. D., Egorova, N., Enticott, P. G., Fuelscher, I. T., Gajamange, S. I., et al. (2021) · NeuroImage · doi:10.1016/j.neuroimage.2021.118417 · Cited by 280 · see citing works
Orthogonal tensor invariants and the analysis of diffusion tensor magnetic resonance images
Ennis, D. B., & Kindlmann, G. (2006) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20741 · Cited by 276 · see citing works
“[10] and solve for d , recalling that dK1 I:dA and Eq.”
BackgroundMR connectomics: Principles and challenges
Hagmann, P., Cammoun, L., Gigandet, X., Gerhard, S., Grant, P. E., Wedeen, V. J., Meuli, R. A., Thiran, J., Honey, C. J., & Sporns, O. (2010) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2010.01.014 · Cited by 271 · see citing works
Self-citationVisualization of image data from cells to organisms
Walter, T., Shattuck, D. W., Baldock, R., Bastin, M. E., Carpenter, A. E., Duce, S., Ellenberg, J., Fraser, A. N., Hamilton, N., Pieper, S., et al. (2010) · Nature Methods · doi:10.1038/nmeth.1431 · Cited by 261 · see citing works
“As the number of angular samples increases (for example, in Q-Ball imagin”
Kinoshita, M., Yamada, K., Hashimoto, N., Kato, A., Izumoto, S., Baba, T., Maruno, M., Nishimura, T., & Yoshimine, T. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2004.07.076 · Cited by 264 · see citing works
Clark, C. A., Barrick, T. R., Murphy, M. M., & Bell, B. A. (2003) · NeuroImage · doi:10.1016/j.neuroimage.2003.07.022 · Cited by 261 · see citing works
Oouchi, H., Yamada, K., Sakai, K., Kizu, O., Kubota, T., Ito, H., & Nishimura, T. (2007) · American Journal of Neuroradiology · doi:10.3174/ajnr.a0488 · Cited by 256 · see citing works
“Another advanced technique that could be used to circumvent the problem may be the high-angular-resolution diffusion imaging technique, which has the potential to resolve multiple fiber orientations within a single voxel.(27) It would be ideal if a simple coefficient could be defined that could correct for the differe…”
MethodWozniak, J. R., & Lim, K. O. (2006) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2006.06.003 · Cited by 255 · see citing works
Delineation of early brain development from fetuses to infants with diffusion MRI and beyond
Ouyang, M., Dubois, J., Yu, Q., Mukherjee, P., & Huang, H. (2018) · NeuroImage · doi:10.1016/j.neuroimage.2018.04.017 · Cited by 250 · see citing works
Cheung, M. M., Hui, E. S. K., Chan, K. C., Helpern, J. A., Qi, L., & Wu, E. X. (2008) · NeuroImage · doi:10.1016/j.neuroimage.2008.12.018 · Cited by 260 · see citing works
“The orientational neuroarchitecture can be inferred from DTI, but it is inadequate to resolve the heterogeneity within a voxel (Tuch et al., 2002).”
BackgroundMGH–USC Human Connectome Project datasets with ultra-high b-value diffusion MRI
Fan, Q., Witzel, T., Nummenmaa, A. R., Dijk, K. R. A. V., Horn, J. D. V., Drews, M. K., Somerville, L. H., Sheridan, M. A., Santillana, R. M., Snyder, J., et al. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2015.08.075 · Cited by 244 · see citing works
“q-ball imaging (Descoteaux et al., 2007; Tuch, 2004; Tuch et al., 2002; Tuch et al., 2003), spherical deconvolution (Anderson, 2005; Dell'Acqua et al.”
Self-citationEvidence for Functional Networks within the Human Brain's White Matter
Peer, M., Nitzan, M., Bick, A. S., Levin, N., & Arzy, S. (2017) · Journal of Neuroscience · doi:10.1523/jneurosci.3872-16.2017 · Cited by 253 · see citing works
“First, in contrast to gray-matter, white-matter tracts can cross each other, thereby mixing the signal from different functional systems in the same locations (Alexander et al., 2001, 2002; Tuch et al., 2002; Tournier et al., 2004).”
BackgroundA Bayesian framework for global tractography
Jbabdi, S., Woolrich, M. W., Andersson, J., & Behrens, T. E. J. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2007.04.039 · Cited by 251 · see citing works
“Tuch (2002) formalises the tractography problem also as a global optimum search, in terms of maximising the likelihood of the data [as given by diffusion spectrum imaging (Tuch et al., 2002)].”
Characterizing non‐gaussian diffusion by using generalized diffusion tensors
Liu, C., Bammer, R., Acar, B., & Moseley, M. E. (2004) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20071 · Cited by 251 · see citing works
A review of structural neuroimaging in schizophrenia: from connectivity to connectomics
Wheeler, A. L., & Voineskos, A. N. (2014) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2014.00653 · Cited by 250 · see citing works
“Acquisition protocols, such as high angular resolution diffusion-weighted imaging (HARDI) (Tuch et al., 2002) and diffusion spectrum imaging (DSI) (Wedeen et al., 2005, 2008), extract more information from the diffusion-weighted signal and can resolve crossing fibers within voxels.”
BackgroundDiffusion tensor imaging for understanding brain development in early life
Qiu, A., Mori, S., & Miller, M. I. (2015) · Annual Review of Psychology · doi:10.1146/annurev-psych-010814-015340 · Cited by 238 · see citing works
“HARDI measures diffusion along n uniformly distributed directions on the sphere and can characterize more complex fiber geometries, where the acquired number of diffusion gradient directions is greater than that for DTI.”
BackgroundInfluentialCorpus callosal connection mapping using cortical gray matter parcellation and DT‐MRI
Park, H., Kim, J., Lee, S., Seok, J., Chun, J., Kim, D. I., & Lee, J. D. (2006) · Human Brain Mapping · doi:10.1002/hbm.20314 · Cited by 250 · see citing works
“Recent techniques involving high angular resolution DT-MRI [Tuch, 2004; Tuch et al., 2002] could be used to solve the fiber crossing problem and might show more accurate mapping of CC topography in the lateral regions.”
MethodConnectometry: A statistical approach harnessing the analytical potential of the local connectome
Yeh, F.-C. F., Badre, D., & Verstynen, T. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2015.10.053 · Cited by 249 · see citing works
“, 2000), but studies have also shown that FA is susceptible to the partial volume of crossing fibers (Alexander et al., 2001, Alexander et al., 2002; Oouchi et al., 2007; Tuch et al., 2002; Yendiki et al., 2013).”
Essayed, W. I., Zhang, F., Unadkat, P., Cosgrove, G. R., Golby, A. J., & O’Donnell, L. J. (2017) · NeuroImage Clinical · doi:10.1016/j.nicl.2017.06.011 · Cited by 249 · see citing works
Filtered multitensor tractography
Malcolm, J. G., Shenton, M. E., & Rathi, Y. (2010) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2010.2048121 · Cited by 247 · see citing works
“For example, [4] found the general multitensor model to be unstable for three or more components using data”
MethodBrain networks and their relevance for stroke rehabilitation
Guggisberg, A. G., Koch, P., Hummel, F. C., & Buetefisch, C. M. (2019) · Clinical Neurophysiology · doi:10.1016/j.clinph.2019.04.004 · Cited by 247 · see citing works
“, 2005a), HARDI (Tuch et al., 2002), q-space imaging (King et al.”
A Bayesian approach for stochastic white matter tractography
Friman, O., Farnebäck, G., & Westin, C. (2006) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2006.877093 · Cited by 242 · see citing works
“Due to the relatively large voxel size, voxels may contain several different fiber tracts, and models that handle multiple fiber orientations within a voxel have been proposed [11], [12], [19].”
BackgroundNon-invasive mapping of corticofugal fibres from multiple motor areas—relevance to stroke recovery
Newton, J. M., Ward, N., Parker, G. J. M., Deichmann, R., Alexander, D. C., Friston, K. J., & Frackowiak, R. S. J. (2006) · Brain · doi:10.1093/brain/awl106 · Cited by 241 · see citing works
“We used methods that estimate the orientation of crossing fibres to avoid the limitations of single tensor tractography (Alexander et al., 2002; Tuch et al., 2002; Parker and Alexander, 2003; Tournier et al., 2004; Parker and Alexander, 2005).”
BackgroundMethodMultiple‐Fiber Reconstruction Algorithms for Diffusion MRI
Alexander, D. C. (2005) · Annals of the New York Academy of Sciences · doi:10.1196/annals.1340.018 · Cited by 239 · see citing works
Just pretty pictures? What diffusion tractography can add in clinical neuroscience
Johansen‐Berg, H., & Behrens, T. E. J. (2006) · Current Opinion in Neurology · doi:10.1097/01.wco.0000236618.82086.01 · Cited by 239 · see citing works
Descoteaux, M., Angelino, E. L., Fitzgibbons, S., & Rachid Deriche, B. (2006) · Magnetic Resonance in Medicine · doi:10.1002/mrm.20948 · Cited by 235 · see citing works
“In order to better describe the complexity of water motion, a clinically feasible approach, high angular resolution diffusion imaging (HARDI), has been proposed by Tuch et al [43, 40].”
Validation of in vitro probabilistic tractography
Dyrby, T. B., Søgaard, L. V., Parker, G. J., Alexander, D. C., Lind, N. M., Baaré, W. F. C., Hay-Schmidt, A., Eriksen, N., Pakkenberg, B., Paulson, O. B., et al. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2007.06.022 · Cited by 236 · see citing works
“…(DTI) (Basser et al., 1994) and related methods such as q-ball imaging (Tuch, 2004), tensor-mixture models (Alexander, 2005; Assaf et al., 2004; Tuch et al., 2002), PASMRI (Jansons and Alexander, 2003) and spherical deconvolution (Frank, 2002; Tournier et al., 2004) quantify water-diffusion…”
MethodCharacterization of displaced white matter by brain tumors using combined DTI and fMRI
Schönberg, T., Pianka, P., Hendler, T., Pasternak, O., & Assaf, Y. (2006) · NeuroImage · doi:10.1016/j.neuroimage.2005.11.015 · Cited by 235 · see citing works
“Solutions to these problems become more applicable in the form of multiple tensor field regularization (Tuch et al., 2002; Pasternak et al., 2005) and mutual information image registration procedures (Horsfield, 1999; Rohde et al.”
BackgroundAdvances in MRI for 'cryptogenic' epilepsies
Bernasconi, A., Bernasconi, N., Bernhardt, B. C., & Schrader, D. (2011) · Nature Reviews Neurology · doi:10.1038/nrneurol.2010.199 · Cited by 233 · see citing works
Optimal imaging parameters for fiber-orientation estimation in diffusion MRI
Alexander, D. C., & Barker, G. J. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2005.04.008 · Cited by 231 · see citing works
Evidence for white matter disruption in traumatic brain injury without macroscopic lesions
Nakayama, N. (2006) · Journal of Neurology Neurosurgery & Psychiatry · doi:10.1136/jnnp.2005.077875 · Cited by 230 · see citing works
Yousaf, T., Dervenoulas, G., & Politis, M. (2018) · International review of neurobiology · doi:10.1016/bs.irn.2018.08.008 · Cited by 230 · see citing works
- Authors
- Tuch, D. S., Reese, T. G., Wiegell, M. R., Makris, N., Belliveau, J. W., & Wedeen, V. J.
- Affiliations
- Massachusetts General Hospital (US)
- Corresponding author
- Wedeen, Van J.
- Venue
- Magnetic Resonance in Medicine
- Publisher
- Wiley
- Published
- 2002-09-26
- Volume
- 48
- Issue
- 4
- Pages
- 577-582
- ISSN
- 0740-3194 (ISSN-L)
- 1522-2594
- OpenAlex
- W2080198834
- Cited by
- 1,548
- References
- 27
- Citations by year
- 2026: 20 · 2025: 43 · 2024: 39 · 2023: 52 · 2022: 59 · 2021: 65 · 2020: 65 · 2019: 82 · 2018: 76 · 2017: 84 · 2016: 84 · 2015: 115 · 2014: 93 · 2013: 95 · 2012: 79
- FWCI
- 23.23
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Magnetic Resonance in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Sol Goldman Charitable Trust
- 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
- high angular resolution diffusion imaging
- MeSH terms
- Brain, Computer Simulation, Humans, Image Processing, Computer-Assisted, Male, Nerve Fibers, Anisotropy, Diffusion Magnetic Resonance Imaging
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