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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 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
In the citing paper
“Unlike conventional MRI and diffusion tensor imaging, high-angular-resolution diffusion imaging (HARDI) meets these methodologic requirements by measuring water diffusion along axonal pathways using a multidirectional model designed to detect crossing and branching axons.12”
From Disruption of the ascending arousal network in acute traumatic disorders of consciousness (2019) · cites this paper as [12]
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Quantitative quality assurance in a multicenter HARDI clinical trial at 3 T
Zhou, X., Sakaie, K., Debbins, J. P., KIRSCH, J. E., Tatsuoka, C. M., Fox, R. J., & Lowe, M. J. (2016) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2016.08.022 · Cited by 14
“A secondary outcome of this trial is change in diffusivity measurements as measured by high angular resolution diffusion imaging (HARDI) [2].”
MethodThe Lamellar Structure of the Brain Fiber Pathways
Galinsky, V. L., & Frank, L. R. (2016) · Neural Computation · doi:10.1162/neco_a_00896 · Cited by 14
“It is important to point out at this juncture that a key result of our analysis leading to the GO-ESP method (Galinsky & Frank, 2015) is that the generally accepted view that the diffusion PDF is the fundamental quantity in diffusion MRI methods is predicated on the assumption that voxel diffusion profiles are indepen…”
MethodInfluentialRetrospective correction of bias in diffusion tensor imaging arising from coil combination mode
Sakaie, K., & Lowe, M. J. (2016) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2016.12.004 · Cited by 14
“A high angular resolution diffusion imaging [4] acquisition was acquired on each subject (51 2mm-thick axial slices with 256mm ×256 mm FOV, 128 × 128 matrix, twice-refocused spin echo twice-refocused spin echo [5] with TE = 92 msec, TR = 7800 msec, 71 noncollinear gradient directions with b = 1000 sec/mm2 and 8 b = 0…”
MethodNonlinear deformation of tractography in ultrasound-guided low-grade gliomas resection
Xiao, Y., Eikenes, L., Reinertsen, I., & Rivaz, H. J. (2018) · International Journal of Computer Assisted Radiology and Surgery · doi:10.1007/s11548-017-1699-x · Cited by 14
“Although it is true that more advanced imaging techniques, such as high angular resolution diffusion-weighted imaging (HARDI) [51] and its variants, can further improve the accuracy of fiber tracking, they are still rarely seen in the clinic, primarily due to time and hardware constraints.”
BackgroundWalker, M. R., zhong, J., Waspe, A. C., Looi, T., Piorkowska, K., Hawkins, C. E., Drake, J. M., & Hodaie, M. (2019) · Frontiers in Neurology · doi:10.3389/fneur.2019.01069 · Cited by 14
Imaging the aging brain: study design and baseline findings of the SENIOR cohort
Haeger, A., Mangin, J., Vignaud, A., Poupon, C., Grigis, A., Boumezbeur, F., Frouin, V., Deverre, J.-R., Sarazin, M., Hertz‐Pannier, L., et al. (2020) · Alzheimer s Research & Therapy · doi:10.1186/s13195-020-00642-1 · Cited by 21
Analytical and fast Fiber Orientation Distribution reconstruction in 3D-Polarized Light Imaging
Alimi, A., Deslauriers‐Gauthier, S., Matuschke, F., Müller, A. F., Muenzing, S. E. A., Axer, M., & Rachid Deriche, B. (2020) · Medical Image Analysis · doi:10.1016/j.media.2020.101760 · Cited by 14
“With a millimeter resolution, diffusion Magnetic Resonance Imaging (MRI) (35, 11, 55, 28, 23, 50, 36) is the only in vivo and non invasive imaging technique able to assess the structural architecture of human fibrous organs such as the brain and the heart and to infer their respective connectivity (41, 18, 27, 26).”
BackgroundTristán‐Vega, A., & Aja‐Fernández, S. (2020) · NeuroImage · doi:10.1016/j.neuroimage.2020.117616 · Cited by 14
Maiti, S., Frielinghaus, H., Gräßel, D., Dulle, M., Axer, M., & Förster, S. (2021) · Scientific Reports · doi:10.1038/s41598-021-92995-2 · Cited by 13
Becker, D., Neher, P., Jungk, C., Jesser, J., Pflüger, I., Brinster, R., Bendszus, M., Bruckner, T. M., Maier-Hein, K. H., Scherer, M., et al. (2021) · World Neurosurgery · doi:10.1016/j.wneu.2021.11.006 · Cited by 14
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Evaluating Structural Connectomics in Relation to Different Q-space Sampling Techniques
Rodrigues, P., Prats‐Galino, A., Gallardo‐Pujol, D., Villoslada, P., Falcón, C., & Prčkovska, V. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-40811-3_84 · Cited by 14
“Therefore, more complex acquisitions models were developed, known as High Angular Resolution Diffusion Imaging (HARDI) [5], with denser q-space sampling on a spherical shell.”
MethodDiffusion tensor imaging of white matter pathology in the mouse brain
Zhang, J. (2010) · Imaging in Medicine · doi:10.2217/iim.10.60 · Cited by 16
Kwon, H. G., Son, S. M., & Jang, S. H. (2014) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2014.00153 · Cited by 14
“However, several limitations of this study should be considered (Wiegell et al., 2000; Tuch et al., 2002; Lee et al., 2005; Parker and Alexander, 2005; Yamada, 2009; Yamada et al., 2009).”
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“The tensors in the crossing area are generated using the Gaussian mixture model [37] assuming signal with bvalue 1000 s/m2.”
Caiazzo, G., Trojsi, F., Cirillo, M., Tedeschi, G., & Esposito, F. (2015) · Neuroradiology · doi:10.1007/s00234-015-1616-3 · Cited by 14
“In fact, the medial portion of SLF may be reconstructed only by a two-fiber approach, resulting invisible with a single-fiber approach [20].”
BackgroundRecent advancement in the challenges to connectomics
Ohno, N., Katoh, M., Saitoh, Y., & Saitoh, S. (2015) · Microscopy · doi:10.1093/jmicro/dfv371 · Cited by 15
Numerical Schemes for Linear and Non-Linear Enhancement of DW-MRI
Creusen, E., Duits, R., Vilanova, A., & Florack, L. M. J. (2013) · Numerical Mathematics Theory Methods and Applications · doi:10.4208/nmtma.2013.mssvm08 · Cited by 14
Yamada, N., Ueda, R., Kakuda, W., Momosaki, R., Kondo, T., Hada, T., Sasaki, N., Hara, T., Senoo, A., & Abo, M. (2018) · Neural Plasticity · doi:10.1155/2018/3901016 · Cited by 14
“Second, previous reports have used GFA on high-angular-resolution-diffusion imaging data with 200+ directions [5, 23, 35].”
MethodStämpfli, P., Sommer, S., Czell, D., Kozerke, S., Neuwirth, C., Weber, M., Sartoretti‐Schefer, S., Seifritz, E., Gutzeit, A., & Reischauer, C. (2018) · Clinical Neuroradiology · doi:10.1007/s00062-018-0670-8 · Cited by 15
Bruce, I. P., Petty, C., & Song, A. W. (2018) · NeuroImage · doi:10.1016/j.neuroimage.2018.09.055 · Cited by 14
“Over the past two decades, diffusion MRI (dMRI) and diffusion tensor imaging (DTI) (Mori et al., 1999; Tuch et al., 2002; LeBihan et al., 1986; Basser et al., 1994; Pierpaoli et al., 1996) have been commonly used to investigate neuronal microstructures in the brain and map brain connectivity.”
Zanin, J., Dhollander, T., Farquharson, S., Rance, G., Connelly, A., & Nayagam, B. (2019) · Hearing Research · doi:10.1016/j.heares.2019.02.014 · Cited by 10
Precommissural and postcommissural fornix microstructure in healthy aging and cognition
Coad, B. M., Craig, E., Louch, R. C., Aggleton, J. P., Vann, S. D., & Metzler‐Baddeley, C. (2020) · Brain and Neuroscience Advances · doi:10.1177/2398212819899316 · Cited by 14
“Whole-brain High Angular Resolution Diffusion Imaging (HARDI; Tuch et al., 2002) data were collected using a spin-echo echo-planar dual-shell sequence with diffusion encoded along 90 isotropically distributed directions (30 directions at b-value = 1200 s/mm 2 , 60 directions at b-value = 2300 s/mm 2 ).”
MethodRecovery of intra-voxel structure from HARD DWI
Chen, Y., Guo, W., Zeng, Q., He, G., Vemuri, B. C., & Liu, Y. (2004) · IEEE International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi.2004.1398716 · Cited by 14
Bradley, K., Juranek, J. J., Romanowska-Pawliczek, A. M., Hannay, H. J., Cirino, P. T., Dennis, M., Kramer, L. A., & Fletcher, J. M. (2015) · Brain Connectivity · doi:10.1089/brain.2015.0387 · Cited by 14
“Newer imaging methods such as high angular-resolution diffusion imaging, which uses larger numbers of diffusion directions, may better isolate interhemispheric tracts (Shattuck et al., 2008; Tuch et al., 2002) and allow for more detailed investigations of interhemispheric tract structure, while minimizing partial volu…”
Rodie, M., Forbes, K. P. N., & Muir, K. W. (2014) · Endocrine development · doi:10.1159/000363628 · Cited by 14
Diffusion Tensor Imaging (DTI)
Mori, S., & Zhang, J. (2009) · Elsevier eBooks · doi:10.1016/b978-008045046-9.00315-6 · Cited by 14
A novel framework for in-vivo diffusion tensor distribution MRI of the human brain
Magdoom, K. N., Avram, A. V., Sarlls, J. E., Gasbarra, D., & Basser, P. J. (2023) · NeuroImage · doi:10.1016/j.neuroimage.2023.120003 · Cited by 13
Makris, N., Rushmore, J., Kaiser, J. R., Albaugh, M. D., Kubicki, M. R., Yogesh Rathi, A., Zhang, F., O’Donnell, L. J., Yeterian, E. H., Caviness, V. S., et al. (2023) · Developmental Neuroscience · doi:10.1159/000530358 · Cited by 14
“…of brain lesions on remote brain regions connected with the lesioned area, validating DTI and high angular resolution diffusion imaging (HARDI) data [163], as well as aiding a multitude of functional and metabolic brain investigations where anatomic connections are relevant (see, e.g., [155]).”
Self-citationA Riemannian scalar measure for diffusion tensor images
Astola, L., Fuster, A., & Florack, L. M. J. (2010) · Pattern Recognition · doi:10.1016/j.patcog.2010.09.009 · Cited by 13
Bijanki, K. R., Arndt, S. V., Magnotta, V. A., Nopoulos, P., Paradiso, S., Matsui, J., Johnson, H. J., & Moser, D. J. (2013) · Psychiatry Research Neuroimaging · doi:10.1016/j.pscychresns.2013.07.011 · Cited by 13
A survey of current trends in diffusion MRI for structural brain connectivity
Ghosh, A., & Rachid Deriche, B. (2015) · Journal of Neural Engineering · doi:10.1088/1741-2560/13/1/011001 · Cited by 13
“The multi-tensor formulation proposed in [135] assumed slow or no exchange between the various compartments and”
BackgroundJha, R. R., Pathak, S., Nath, V., Schneider, W., Kumar, B., Bhavsar, A. V., & Nigam, A. (2022) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2022.03.004 · Cited by 13
Clustering method for estimating principal diffusion directions
Nazem‐Zadeh, M., Jafari‐Khouzani, K., Davoodi‐Bojd, E., Jiang, Q., & Hamid Soltanian-zadeh, A. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2011.05.056 · Cited by 13
“To address the time complexity, high angular resolution diffusion imaging (HARDI) and orientation distribution function (ODF) have been introduced as alternatives to DSI and diffusion PDF, respectively (Tuch et al., 2002).”
MethodAdvanced Magnetic Resonance Techniques in Neuroimaging: Diffusion, Spectroscopy, and Perfusion
Sood, S., Gupta, A. K., & Tsiouris, A. J. (2010) · Seminars in Roentgenology · doi:10.1053/j.ro.2009.09.008 · Cited by 13
POAS4SPM: A Toolbox for SPM to Denoise Diffusion MRI Data
Tabelow, K., Mohammadi, S., Weiskopf, N., & Polzehl, J. (2014) · Neuroinformatics · doi:10.1007/s12021-014-9228-3 · Cited by 13
“These include HARDI (Frank 2001; Tuch et al. 2002), tensor mixture models (Behrens et al. 2003; Assaf and Basser 2005; Tabelow et al. 2012), higher order tensor approximations (Özarslan and Mareci 2003; Liu et al. 2003; Jensen et al. 2005) and methods to determine the full diffusion propagator…”
MethodComparing structural and functional graph theory features in the human brain using multimodal MRI
Messé, A., Marrelec, G., Bellec, P., Perlbarg, V., Doyon, J., Pélégrini‐Issac, M., & Benali, H. (2012) · IRBM · doi:10.1016/j.irbm.2012.04.005 · Cited by 14
“In reference [44], the structural network was revealed by using hard angular resolution diffusion imaging, which deals with the complexity of diffusion distribution in some voxels [4,5,54] using new diffusion models and tractography methods [31,54,55].”
MethodCai, Y., McMurray, M., Oguz, I., Yuan, H., Styner, M., Lin, W.-L., Johns, J., & An, H. (2011) · Frontiers in Psychiatry · doi:10.3389/fpsyt.2011.00054 · Cited by 13
“The high angular resolution diffusion imaging (HARDI) approach has been proposed to overcome this problem by using a large number of diffusion encoding directions at an expense of increasing the imaging acquisition time (Tuch et al., 2002).”
MethodDudink, J., Pieterman, K. J., Leemans, A., Kleinnijenhuis, M., van Walsum, A. M. V. C., & Hoebeek, F. E. (2015) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2014.01066 · Cited by 13
“Advances in dMRI, such as more widespread application of high-angular resolution diffusion imaging (HARDI), enable a more reliable assessment of cortical microstructure (Tuch et al., 2002).”
Fiber direction estimation, smoothing and tracking in diffusion MRI
Wong, R. K. W., Lee, T. C. M., Paul, D., Peng, J., & Initiative, A. D. N. (2016) · The Annals of Applied Statistics · doi:10.1214/15-aoas880 · Cited by 13
“methods often require high angular resolution diffusion imaging (HARDI) (Tuch et al., 2002; Hosey, Williams and Ansorge, 2005) where a large number of gradients is sampled.”
InfluentialImproved fidelity of brain microstructure mapping from single-shell diffusion MRI
Taquet, M., Scherrer, B., Boumal, N., Peters, J. M., Macq, B. M. M., & Warfield, S. K. (2015) · Medical Image Analysis · doi:10.1016/j.media.2015.10.004 · Cited by 13
“In this section, we optimize the parameters for the estimation and we compare our approach with the results obtained with (i) no prior, (ii) a spatial prior only, (iii) a fixed response function as proposed in the literature (Tuch et al., 2002) and (iv) by simply using the population mode without leveraging data (this…”
BackgroundMethodResultInfluentialLongitudinal diffusion tensor imaging of the rat brain after hexachlorophene exposure
Ramu, J., Konak, T., Paule, M. G., Hanig, J. P., & Liachenko, S. M. (2016) · NeuroToxicology · doi:10.1016/j.neuro.2016.08.011 · Cited by 13
“…clearly capture lower-trending DTI scalars, our analyses might also benefit from the use of advanced DTI methodologies such as q-ball imaging (Tuch et al., 2002; Tuch, 2004; Wedeen et al., 2008) and probabilistic fiber tracking (Mori and van Zijl, 2002; Descoteaux et al., 2009) that can…”
MethodSpatial Transformations of High Angular Resolution Diffusion Imaging Data in Q-space
Dhollander, T., Hecke, W. V., Maes, F., Sunaert, S. G., & Suetens, P. (2010) · Lirias · Cited by 13
Liu, X., Gao, X., Zhang, L., Yuan, Z., Zhang, C., Lu, W., Cui, D., Zheng, F., Qiu, J., & Xie, J. (2018) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.25949 · Cited by 13
“Accordingly, high angular resolution diffusion imaging (HARDI) data have been proposed to arrange the diffusion gradient directions on a spherical shell (or multiple shells) in the diffusion space.(13) Generalized qsampling imaging (GQI) is one model-free method for reconstructing HARDI data.”
BackgroundAshmore, J., Pemberton, H., Crum, W. R., Jarosz, J., & Barker, G. J. (2020) · PLoS ONE · doi:10.1371/journal.pone.0231440 · Cited by 13
Wu, D., Zhang, Y., Cheng, B., Mori, S., Reeves, R. H., & Gao, F. (2021) · Brain Communications · doi:10.1093/braincomms/fcab062 · Cited by 12
“based on diffusion tensor imaging (DTI)(4) or high angularresolution diffusion imaging.(5) Recently, the diffusiontime (td)-dependent dMRI technique has demonstrated unique advantages in depicting tissue microstructural information beyond the directional information.”
BackgroundMicrostructural Tissue Changes in a Rat Model of Mild Traumatic Brain Injury
Chary, K., Narvaez, O., Salo, R., Molina, I. S. M., Tohka, J., Aggarwal, M., Gröhn, O., & Sierra, A. (2021) · Frontiers in Neuroscience · doi:10.3389/fnins.2021.746214 · Cited by 12
“Recently, the introduction of more advanced techniques, such as high-angular-resolution diffusion imaging (HARDI) acquisitions (Tuch et al., 2002) in combination with higher-order diffusion modeling tools, such as constrained spherical deconvolution (CSD; Tournier et al.”
BackgroundThe impact of levamisole and alcohol on white matter microstructure in adult chronic cocaine users
Michels, L., Moisa, M., Stämpfli, P., Hirsiger, S., Baumgartner, M. R., Surbeck, W., Seifritz, E., & Quednow, B. B. (2022) · Addiction Biology · doi:10.1111/adb.13149 · Cited by 13
Yeh, P., Oakes, T. R., & Riedy, G. P. (2012) · Open Journal of Medical Imaging · doi:10.4236/ojmi.2012.24025 · Cited by 13
“Both Q-space imaging (spin propagator) and ADC mixture models with FOD commonly use a larger b-value than DT-MRI (b = 1000 s/mm(2) to b = 3000 s/mm(2)) to achieve sharper fiber peaks [146,147].”
MethodInfluentialYuan, Y., Hongtu Zhu, B., Ibrahim, J. G., Lin, W., & Peterson, B. S. (2008) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2008.926069 · Cited by 13
Fiber Tractography in Diffusion Tensor Magnetic Resonance Imaging: A Survey and Beyond
Zhang, J., Ji, H., Ning, K., & Cao, N. (2005) · Cited by 13
A statistical framework for the classification of tensor morphologies in diffusion tensor images
Hongtu Zhu, B., Xu, D., Raz, A., Hao, X., Heping Zhang, D., Kangarlu, A., Bansal, R., & Peterson, B. S. (2006) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2006.01.004 · Cited by 13
“Evaluating the test statistics assuming the presence of fiber crossings— We further examined the performance of the three test statistics when modeling the presence of multiple fibers in a single voxel (as will occur when multiple fibers cross within the brain) [34–37], a situation in which the single DT model for Eq.”
MethodRamírez-Manzanares, A., Cook, P. A., & Gee, J. C. (2008) · Lecture notes in computer science · doi:10.1007/978-3-540-85988-8_37 · Cited by 13
“MDT [5].”
MethodInfluentialCorrection: Deterministic Diffusion Fiber Tracking Improved by Quantitative Anisotropy
Yeh, F.-C. F., Verstynen, T., Wang, Y., Fernandez-Miranda, J. C., & Tseng, W. I. (2014) · PLoS ONE · doi:10.1371/annotation/0f3b12de-8b8b-4dda-9ff4-835b8631e1dc · Cited by 14
Lee, W. J., Yoon, C. W., Kim, S.-W., Jeong, H. J., Seo, S., Na, D. L., Noh, Y., & Seong, J.-K. (2021) · Frontiers in Neuroscience · doi:10.3389/fnins.2021.606600 · Cited by 12
“High-order models such as high angular resolution diffusion tensor (HARDI) (Tuch et al., 2002) and diffusion spectrum imaging (DSI) (Wedeen et al., 2005) can further resolve the crossing fiber issues, but the number of gradient directions we used was low to form enough degrees Frontiers in Neuroscience | www.frontiers…”
BackgroundLiang, Z., Arefin, T. M., Lee, C. H., & Zhang, J. (2023) · NeuroImage · doi:10.1016/j.neuroimage.2023.119999 · Cited by 12
“Aided by increasingly sophisticated dMRI acquisition schemes and tractography methods (Behrens et al., 2007; Frank, 2001; Mori and van Zijl, 2002; Tournier et al., 2007; Tuch et al., 2002; Wedeen et al., 2012, 2008), dMRI tractography had gained the ability to resolve multiple axonal bundles within a voxel as well as…”
MethodBayesian Rician Regression for Neuroimaging
Wegmann, B., Eklund, A., & Villani, M. (2017) · Frontiers in Neuroscience · doi:10.3389/fnins.2017.00586 · Cited by 11
“Using a larger b-value enables more advanced diffusion models, e.g., through HARDI (Tuch et al., 2002; Descoteaux et al., 2008; Gupta and Awate, 2017), which for example can be used to properly account for multiple fiber orientations in a single voxel.”
A Simplified Crossing Fiber Model in Diffusion Weighted Imaging
Yang, S., Ghosh, K., Sakaie, K., Sahoo, S. S., Carr, S. J. A., & Tatsuoka, C. M. (2019) · Frontiers in Neuroscience · doi:10.3389/fnins.2019.00492 · Cited by 12
“In order to handle the more complex situation of multiple crossing fibers within a voxel, a number of alternative models have been suggested, such as multiple tensor fitting (Tuch et al., 2002), Ball-and-Stick model (Behrens et al.”
MethodArrigoni, F., Peruzzo, D., Mandelstam, S. A., Amorosino, G., Redaelli, D., Romaniello, R., Leventer, R. J., Borgatti, R., Seal, M. L., & Yang, J. Y. (2020) · American Journal of Neuroradiology · doi:10.3174/ajnr.a6646 · Cited by 12
Wei, P., Mao, Z., Fei, C., Wang, B., Ling, Z., Liang, S., & Yu, X. (2017) · Journal of Clinical Neuroscience · doi:10.1016/j.jocn.2017.01.012 · Cited by 13
“Furthermore, the DSI and HARDI techniques provide more scan directions and higher angular resolution.”
BackgroundMenegaux, A., Napiórkowski, N., Neitzel, J., Ruiz‐Rizzo, A. L., Petersen, A., Müller, H. J., Sorg, C., & Finke, K. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2019.03.052 · Cited by 12
Schult, T., Hauser, T., Klose, U., Hurth, H. V., & Ehricke, H.-H. (2019) · PLoS ONE · doi:10.1371/journal.pone.0226153 · Cited by 12
“After a directional color-coding scheme [40] is applied, the glyphs depict local anisotropy directions.”
MethodCroci, M., Vinje, V., & Rognes, M. E. (2020) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.3412 · Cited by 12
“The effective diffusion coefficient of a solute (or tracer) and the velocity field are heterogeneous [41, 45, 66, 77] within the parenchyma and also vary from individual to individual.”
BackgroundMolendowska, M., Matuszewski, J., Kossowski, B., Bola, Ł., Banaszkiewicz, A., Paplińska, M., Jednoróg, K., Draganski, B., & Marchewka, A. (2021) · Journal of Neuroscience · doi:10.1523/jneurosci.2242-20.2021 · Cited by 14
“Multiple reviews showed that FA-inferred information about microstructural anisotropy is significantly affected by underlying tissue characteristics, particularly crossing fibers (Tuch et al., 2002; Jbabdi et al., 2010; Vos et al., 2011).”
BackgroundKancheva, I. K., Buma, F. E., Kwakkel, G., Kancheva, A. K., Ramsey, N. F., & Raemaekers, M. A. H. (2022) · NeuroImage Clinical · doi:10.1016/j.nicl.2022.102945 · Cited by 13
“It should be outlined that the tensor model provides a simplified description of the diffusion process compared to the underlying histology (Alexander et al., 2002; Tuch et al., 2002).”
Grundlagen und Technik der diffusionsgewichteten MR‑Bildgebung und der Diffusions‑Tensor‑Bildgebung
Backens, M. (2015) · Der Radiologe · doi:10.1007/s00117-015-0004-7 · Cited by 12
“Beim High-angularresolution-diffusion-imaging(HARDI)Verfahren [27] werden MR-Sequenzen mit hoher Winkelauflösung eingesetzt, die mehr als hundert verschiedene Diffusionsrichtungen messen.”
BackgroundHARDI Denoising: Variational Regularization of the Spherical Apparent Diffusion Coefficient sADC
Kim, Y., Thompson, P. M., Toga, A. W., Vese, L. A., & Zhan, L. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-02498-6_43 · Cited by 12
“[39,40]), diffusion spectrum imaging [43], and q-ball imaging (Tuch et al.”
BackgroundCombining Functional Studies with Intraoperative MRI in Glioma Surgery
Krivosheya, D., & Prabhu, S. S. (2017) · Neurosurgery Clinics of North America · doi:10.1016/j.nec.2017.05.004 · Cited by 12
Cognition and connectomes in nondementia idiopathic Parkinson’s disease
Colón-Pérez, L. M., Tanner, J. J., Couret, M., Goicochea, S., Mareci, T. H., & Price, C. C. (2017) · Network Neuroscience · doi:10.1162/netn_a_00027 · Cited by 12
“In the current work, we used high angular-resolution diffusion imaging to increase the angular resolution and enable better estimation of the fiber orientation on each voxel (Jian et al., 2007; Tuch et al., 2002).”
Large Deformation Diffeomorphic Metric Mapping of Orientation Distribution Functions
Du, J. T., Goh, A., & Qiu, A. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-22092-0_37 · Cited by 12
“High angular resolution diffusion imaging (HARDI) [25] addresses this well-known limitation of DTI.”
BackgroundDiffusion Tensor Imaging (DTI)☆
Meoded, A., Poretti, A., Mori, S., & Zhang, J. (2016) · Elsevier eBooks · doi:10.1016/b978-0-12-809324-5.02472-x · Cited by 12
Bar‐Shir, A., & Cohen, Y. (2008) · Magnetic Resonance Imaging · doi:10.1016/j.mri.2008.01.051 · Cited by 12
“For example, Lin et al. [32] have used a 50-μm phantom of crossing fibers to compare orientational uncertainty in DTI and DSI.”
MethodVariational Regularization of Multiple Diffusion Tensor Fields
Pasternak, O., Sochen, N., & Assaf, Y. (2006) · Mathematics and visualization · doi:10.1007/3-540-31272-2_9 · Cited by 12
Pauwels, L., & Gooijers, J. (2023) · Journal of Motor Behavior · doi:10.1080/00222895.2023.2221985 · Cited by 11
“, high angular resolution diffusion imaging (Tuch et al., 2002), diffusion MRI with multiple diffusion weightings (multi-shell MR imaging), diffusion weighted STimulated Echo Acquisition Mode (STEAM (De Santis et al.”
BackgroundLei, T., Liao, X., Liang, X., Sun, L., Xia, M., Xia, Y., Zhao, T., Chen, X., Men, W., Wang, Y., et al. (2024) · PLoS Biology · doi:10.1371/journal.pbio.3002653 · Cited by 13
“The use of multiple gradient directions allows more accurate detection of diffusion variations along different directions [83,84], thus resolving multiple fiber orientations within a single voxel and improving the accuracy of tractography.”
BackgroundThe Duke Mouse Brain Atlas: MRI and light sheet microscopy stereotaxic atlas of the mouse brain
Mansour, H., Azrak, R., Cook, J. J., Hornburg, K. J., Qi, Y., Tian, Y., Williams, R. W., Yeh, F.-C., White, L. E., & Johnson, G. A. (2025) · Science Advances · doi:10.1126/sciadv.adq8089 · Cited by 11
“We have used the GQI algorithm because it addresses this challenge through the use of high angular resolution diffusion imaging ( 21 ).”
Minati, L., Banasik, T., Brzezinski, J., Mandelli, M. L., Bizzi, A., Bruzzone, M. G., Konopka, M., & Jasiński, A. H. (2007) · NMR in Biomedicine · doi:10.1002/nbm.1143 · Cited by 10
“At the millimetre-scale resolution that is typical of present-day studies, intra-voxel orientational heterogeneity (IVOH) is expected to be abundant due to the complex patterns formed by intersecting pathways, such as projection and association fibres, and due to partial volume effects (10).”
BackgroundMethodResultInfluentialSaturn: A software application of tensor utilities for research in neuroimaging
Cárdenes, R., Muñoz‐Moreno, E., Tristán‐Vega, A., & Martín‐Fernández, M. (2009) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2009.09.007 · Cited by 11
“This situation is difficult to solve, but it can be alleviated using a more sophisticated method, such as High Angular Resolution Diffusion Imaging (HARDI) [12], Q-Ball Imaging (QBI) [13] or Q-Space Imaging (QSI) [14].”
MethodLim, S. Y., Tyan, Y., Chao, Y.-P., Nien, F.-Y., & Weng, J.-C. (2015) · PLoS ONE · doi:10.1371/journal.pone.0119932 · Cited by 13
“Based on the data acquired through the HARDI scheme, Tuch proposed q-ball imaging (QBI) to estimate the diffusion ODF of the diffusion propagators using the Funk-Radon transformation [20].”
MethodInfluentialMeasure-Valued Variational Models with Applications to Diffusion-Weighted Imaging
Vogt, T., & Lellmann, J. (2018) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-018-0827-8 · Cited by 11
“Consequently, HARDI data is a particularly interesting target for post-processing in terms of denoising and regularization in the sense of contextual processing.”
BackgroundInfluentialJha, R. R., Nigam, A., Bhavsar, A. V., Pathak, S., Schneider, W., & Rathish, K. (2020) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc44109.2020.9175455 · Cited by 11
The future of neuroimaging and gut-brain axis research for substance use disorders
Colón-Pérez, L. M., Montesinos, J. S., & Monsivais, M. (2022) · Brain Research · doi:10.1016/j.brainres.2022.147835 · Cited by 11
Sun, L., Zhang, W., Wang, M., Wang, S., Li, Z., Zhao, C., Lin, M., Si, Q., Li, X., Liang, Y., et al. (2022) · Neuroscience Bulletin · doi:10.1007/s12264-022-00918-6 · Cited by 11
“However, if we want to study crossing fiber tracts, acquisition sequences with more directions and higher b values such as high angular resolution diffusion imaging are required [56].”
BackgroundD-BRAIN: Anatomically Accurate Simulated Diffusion MRI Brain Data
Perrone, D., Jeurissen, B., Aelterman, J., Roine, T., Sijbers, J., Pižurica, A., Leemans, A., & Philips, W. R. (2016) · PLoS ONE · doi:10.1371/journal.pone.0149778 · Cited by 11
“In fact at the voxel level, the WM diffusivity profile is geometrically very complex, which has resulted in the development of many model-based [12] or model-free [13–16] methods.”
MethodDistortion correction for high‐resolution single‐shot EPI DTI using a modified field‐mapping method
Xiong, Y., Li, G., Dai, E., Wang, Y., Zhang, Z., & Guo, H. (2019) · NMR in Biomedicine · doi:10.1002/nbm.4124 · Cited by 11
“Therefore, the proposed method can help high‐resolution SS‐EPI DTI to be fast and reliable in clinical DTI and advanced diffusion techniques such as DSI(13) and HARDI.(14)”
MethodHart, A., Smith, B., Smith, S. M. C., Sales, E., Hernandez-Camargo, J., Garcia, Y. M., Zhan, F., Griswold, L., Dunkelberger, B., Schwob, M. R., et al. (2019) · Journal Of Big Data · doi:10.1186/s40537-019-0223-2 · Cited by 11
Inferring Microstructural Information of White Matter from Diffusion MRI
Assaf, Y., & Cohen, Y. (2009) · Elsevier eBooks · doi:10.1016/b978-0-12-374709-9.00007-9 · Cited by 11
Structural correlates of the audiological and emotional components of chronic tinnitus
Ahmed, S., Mohan, A., Yoo, H. B., To, W. T., Kovacs, S., Sunaert, S. G., Ridder, D. D., & Vanneste, S. (2021) · Progress in brain research · doi:10.1016/bs.pbr.2021.01.030 · Cited by 11
“The pure tone hearing threshold was determined for eight different frequencies (0.125, 0.250, 0.5, 1, 2, 4, 6, 8kHz) presented unilaterally and randomly via a stepwise procedure (Ulmer et al., 1998).”
MethodInfluentialWidespread effects of dMRI data quality on diffusion measures in children
Koirala, N., Kleinman, D., Perdue, M. V., Su, X., Villa, M., Grigorenko, E. L., & Landi, N. (2021) · Human Brain Mapping · doi:10.1002/hbm.25724 · Cited by 10
Two-Tensor Tractography Using a Constrained Filter
Malcolm, J. G., Shenton, M. E., & Yogesh Rathi, A. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-04268-3_110 · Cited by 11
“Following the experimental method of generating multi-compartment synthetic data found in [2,8,15], we averaged the eigenvalues of the 300 voxels with highest fractional anisotropy (FA) in our real data set: {1200, 100, 100}μm2/msec.”
BackgroundMethodInfluentialA Riemannian Scalar Measure for Diffusion Tensor Images
Fuster, A., Astola, L., & Florack, L. M. J. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-03767-2_51 · Cited by 11
Inferring multiple maxima in intravoxel white matter fiber distribution
Canales-Rodríguez, E. J., Melie‐García, L., Iturria‐Medina, Y., Martínez‐Montes, E., Alemán‐Gómez, Y., & Lin, C. (2008) · Magnetic Resonance in Medicine · doi:10.1002/mrm.21673 · Cited by 11
“[10] is the inverse of the normalization constant of the Gamma distribution Ga *, * (see Appendix A).”
BackgroundA full bi-tensor neural tractography algorithm using the unscented Kalman filter
Lienhard, S., Malcolm, J. G., Westin, C., & Yogesh Rathi, A. (2011) · EURASIP Journal on Advances in Signal Processing · doi:10.1186/1687-6180-2011-77 · Cited by 11
“Our implementation also supports one or three tensors but several studies have shown that a two-fiber model performs best in our environment with b = 1000 s mm[4,6,28,39,7,13].”
Converting Multi-Shell and Diffusion Spectrum Imaging to High Angular Resolution Diffusion Imaging
Yeh, F.-C. F., & Verstynen, T. (2016) · Frontiers in Neuroscience · doi:10.3389/fnins.2016.00418 · Cited by 10
“…such as diffusion tensor imaging (DTI) (Basser et al., 1994; Basser and Pierpaoli, 1996) and high angular resolution diffusion imaging (HARDI) (Tuch et al., 2002; Tuch, 2004) remain the most popular diffusion MRI acquisition approaches, whereas multi-shell (Sotiropoulos et al., 2013) and…”
BackgroundWilliamson, B. J., Barnes‐Davis, M. E., Vannest, J. J., Anixt, J. S., Heydarian, H. C., Kuan, L., Laue, C. S., Pratap, J. “., Schapiro, M. B., Tseng, S. Y., et al. (2023) · Scientific Reports · doi:10.1038/s41598-023-28634-9 · Cited by 12
Chan, J. L., Carpentier, A. V., Middlebrooks, E. H., Okun, M. S., & Wong, J. K. (2023) · Expert Review of Neurotherapeutics · doi:10.1080/14737175.2023.2289573 · Cited by 12
“High angular resolution diffusion imaging (HARDI) [103] acquires images using a larger number of gradient directions to increase angular resolution and facilitates improved tract modeling.”
BackgroundRicchi, M., Campani, G., Nagmutdinova, A., Bortolotti, V., Greco, D., Golini, C., Grist, J. T., Brizi, L., & Testa, C. M. (2025) · European Radiology Experimental · doi:10.1186/s41747-025-00570-5 · Cited by 10
Triple visual hemifield maps in a case of optic chiasm hypoplasia
Ahmadi, K., Fracasso, A., Puźniak, R. J., Gouws, A. D., Yakupov, R., Speck, O., Kaufmann, J., Pestilli, F., Dumoulin, S. O., Morland, A. B., et al. (2020) · NeuroImage · doi:10.1016/j.neuroimage.2020.116822 · Cited by 10
“, 2013); high angular resolution granted by 128 unique gradient directions (Tuch et al., 2002)] and analyzed with the methods ensuring the optimal discrimination between separate fiber populations, such as the Multi-Tissue constrained spherical deconvolution (Jeurissen et al.”
Extracting Quantitative Measures from EAP: A Small Clinical Study Using BFOR
Hosseinbor, A. P., Chung, M. K., Wu, Y., Fleming, J. O., Field, A. S., & Alexander, A. L. (2012) · Lecture notes in computer science · doi:10.1007/978-3-642-33418-4_35 · Cited by 9
“Many HARDI techniques [7, 11] seek to extract the orientation distribution function (ODF), a probability density function describing the angular distribution of water molecules during diffusion.”
InfluentialAnalysis of the pyramidal tract in tumor patients using diffusion tensor imaging
Cárdenes, R., Muñoz‐Moreno, E., Sarabia-Herrero, R., Rodríguez‐Velasco, M., Fuertes-Alija, J. J., & Martín‐Fernández, M. (2009) · NeuroImage · doi:10.1016/j.neuroimage.2009.12.032 · Cited by 10
“Also, more complex methods such as High Angular Resolution Diffusion Imaging (HARDI) (Tuch et al., 2002), Q-Ball Imaging (QBI) (Tuch, 2004) or Q-Space Imaging (QSI) (Callaghan et al.”
Metadata
- 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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