Diffusion tensor imaging and beyond

The diffusion of water molecules inside organic tissues is often anisotropic (1). Namely, if there are aligned structures in the tissue, the apparent diffusion coefficient (ADC) of water may vary depending on the orientation along which the diffusion-weighted (DW) measurements are taken. In the late 1980s, diffusion-weighted imaging (DWI) became possible by combining MR diffusion measurements with imaging, enabling the mapping of both diffusion constants and diffusion anisotropy inside the brain and revealing valuable information about axonal architectures (2-14). In the beginning of the 1990s, the diffusion tensor model was introduced to describe the degree of anisotropy and the structural orientation information quantitatively (15,16). This diffusion tensor imaging (DTI) approach provided a simple and elegant way to model this complex neuroanatomical information using only six parameters. Since then, we have witnessed a tremendous amount of growth in this research field, including more sophisticated nontensor models to describe diffusion properties and to extract finer anatomical information from each voxel. Three-dimensional (3D) reconstruction technologies for white matter tracts are also developing beyond the initial deterministic line-propagation models (17-20). As these new reconstruction methods are an area of very active research, it is important to remember that the theory cannot be dissociated from practical aspects of the technology. Importantly, DWI is inherently a noise-sensitive and artifact-prone technique (Fig. 1). Thus, we cannot overemphasize the importance of image quality assurance and robust image analysis techniques. Last but not least, data acquisition technologies have also been steadfastly evolving. In this article, we review the recent advances in these areas since 2000. FIG. 1 Examples of typical artifacts: (i) signal/slice dropouts, (ii) eddy-current induced geometric distortions, (iii) systematic vibration artifacts, and (iv) ghosting (insufficient/incorrect fat-suppression).

[1]  Yihong Yang,et al.  How accurately can the diffusion profiles indicate multiple fiber orientations? A study on general fiber crossings in diffusion MRI. , 2006, Journal of magnetic resonance.

[2]  P. Basser,et al.  In vivo fiber tractography using DT‐MRI data , 2000, Magnetic resonance in medicine.

[3]  Derek K. Jones Tractography Gone Wild: Probabilistic Fibre Tracking Using the Wild Bootstrap With Diffusion Tensor MRI , 2008, IEEE Transactions on Medical Imaging.

[4]  M. I. Smith,et al.  A study of rotationally invariant and symmetric indices of diffusion anisotropy. , 1999, Magnetic resonance imaging.

[5]  M E Moseley,et al.  Comparison of diffusion‐ and T2‐weighted MRI for the early detection of cerebral ischemia and reperfusion in rats , 1991, Magnetic resonance in medicine.

[6]  John S. Duncan,et al.  Hemispheric asymmetries in language-related pathways: A combined functional MRI and tractography study , 2006, NeuroImage.

[7]  C. Pierpaoli,et al.  Analyzing the contribution of cardiac pulsation to the variability of quantities derived from the diffusion tensor , 2002 .

[8]  Yonggang Lu,et al.  Unified framework for anisotropic interpolation and smoothing of diffusion tensor images , 2006, NeuroImage.

[9]  U. Ebeling,et al.  Subcortical topography and proportions of the pyramidal tract , 2005, Acta Neurochirurgica.

[10]  Thomas R. Knösche,et al.  Parametric spherical deconvolution: Inferring anatomical connectivity using diffusion MR imaging , 2007, NeuroImage.

[11]  J. Pipe,et al.  Turboprop: Improved PROPELLER imaging , 2006, Magnetic resonance in medicine.

[12]  D. Parker,et al.  Elimination of eddy current artifacts in diffusion‐weighted echo‐planar images: The use of bipolar gradients , 1997, Magnetic resonance in medicine.

[13]  Roland G. Henry,et al.  Probabilistic streamline q-ball tractography using the residual bootstrap , 2008, NeuroImage.

[14]  S. Skare,et al.  On the effects of gating in diffusion imaging of the brain using single shot EPI. , 2001, Magnetic resonance imaging.

[15]  Guy B. Williams,et al.  Application of a probabilistic double-fibre structure model to diffusion-weighted MR images of the human brain. , 2008, Magnetic resonance imaging.

[16]  J. Frahm,et al.  MRI of “diffusion” in the human brain: New results using a modified CE‐FAST sequence , 1989, Magnetic resonance in medicine.

[17]  M. Moseley,et al.  In vivo generalized diffusion tensor imaging (GDTI) using higher‐order tensors (HOT) , 2010, Magnetic resonance in medicine.

[18]  Geoff J. M. Parker,et al.  Characterizing function–structure relationships in the human visual system with functional MRI and diffusion tensor imaging , 2004, NeuroImage.

[19]  Jean-Francois Mangin,et al.  Fiber Tracking in q-Ball Fields Using Regularized Particle Trajectories , 2005, IPMI.

[20]  P. Basser,et al.  Comprehensive approach for correction of motion and distortion in diffusion‐weighted MRI , 2004, Magnetic resonance in medicine.

[21]  Maher Moakher,et al.  A rigorous framework for diffusion tensor calculus , 2005, Magnetic resonance in medicine.

[22]  Isabelle Bloch,et al.  Distortion correction and robust tensor estimation for MR diffusion imaging , 2002, Medical Image Anal..

[23]  P. Basser Inferring microstructural features and the physiological state of tissues from diffusion‐weighted images , 1995, NMR in biomedicine.

[24]  C F Williams,et al.  A novel fast split‐echo multi‐shot diffusion‐weighted MRI method using navigator echoes , 1999, Magnetic resonance in medicine.

[25]  A. Anderson Measurement of fiber orientation distributions using high angular resolution diffusion imaging , 2005, Magnetic resonance in medicine.

[26]  Jean-Francois Mangin,et al.  A Novel Global Tractography Algorithm Based on an Adaptive Spin Glass Model , 2009, MICCAI.

[27]  Dongrong Xu,et al.  Correction of eddy‐current distortions in diffusion tensor images using the known directions and strengths of diffusion gradients , 2006, Journal of magnetic resonance imaging : JMRI.

[28]  Murat Aksoy,et al.  Effects of motion and b‐matrix correction for high resolution DTI with short‐axis PROPELLER‐EPI , 2010, NMR in biomedicine.

[29]  D. Alsop Phase insensitive preparation of single‐shot RARE: Application to diffusion imaging in humans , 1997, Magnetic resonance in medicine.

[30]  Baba C. Vemuri,et al.  A Unified Computational Framework for Deconvolution to Reconstruct Multiple Fibers From Diffusion Weighted MRI , 2007, IEEE Transactions on Medical Imaging.

[31]  P. Basser,et al.  New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter , 2004, Magnetic resonance in medicine.

[32]  J. Helpern,et al.  Diffusional kurtosis imaging: The quantification of non‐gaussian water diffusion by means of magnetic resonance imaging , 2005, Magnetic resonance in medicine.

[33]  J Sijbers,et al.  Mathematical framework for simulating diffusion tensor MR neural fiber bundles , 2005, Magnetic resonance in medicine.

[34]  S. Arridge,et al.  Detection and modeling of non‐Gaussian apparent diffusion coefficient profiles in human brain data , 2002, Magnetic resonance in medicine.

[35]  J. Pekar,et al.  MR color mapping of myelin fiber orientation. , 1991, Journal of computer assisted tomography.

[36]  C. Pierpaoli,et al.  Contribution of Cardiac Pulsation to Variability of Tractography Results , 2005 .

[37]  P. V. van Zijl,et al.  Three‐dimensional tracking of axonal projections in the brain by magnetic resonance imaging , 1999, Annals of neurology.

[38]  J. Pekar,et al.  Echo-planar imaging of intravoxel incoherent motion. , 1990, Radiology.

[39]  Stefan Skare,et al.  Clinical multishot DW‐EPI through parallel imaging with considerations of susceptibility, motion, and noise , 2007, Magnetic resonance in medicine.

[40]  John Russell,et al.  Dysmyelination Revealed through MRI as Increased Radial (but Unchanged Axial) Diffusion of Water , 2002, NeuroImage.

[41]  L. Frank Characterization of anisotropy in high angular resolution diffusion‐weighted MRI , 2002, Magnetic resonance in medicine.

[42]  D L Parker,et al.  Comparison of gradient encoding schemes for diffusion‐tensor MRI , 2001, Journal of magnetic resonance imaging : JMRI.

[43]  P. Basser,et al.  Water Diffusion Changes in Wallerian Degeneration and Their Dependence on White Matter Architecture , 2000 .

[44]  Ashok Panigrahy,et al.  Affine and polynomial mutual information coregistration for artifact elimination in diffusion tensor imaging of newborns. , 2004, Magnetic resonance imaging.

[45]  Li Bai,et al.  Fuzzy anatomical connectedness of the brain using single and multiple fibre orientations estimated from diffusion MRI , 2010, Comput. Medical Imaging Graph..

[46]  Carl-Fredrik Westin,et al.  A Bayesian approach for stochastic white matter tractography , 2006, IEEE Transactions on Medical Imaging.

[47]  P. Basser,et al.  Polyvinylpyrrolidone (PVP) water solutions as isotropic phantoms for diffusion MRI studies , 2008 .

[48]  T. Benner,et al.  Reducing motion artefacts in diffusion-weighted MRI of the brain: efficacy of navigator echo correction and pulse triggering , 2000, Neuroradiology.

[49]  D G Gadian,et al.  Limitations and requirements of diffusion tensor fiber tracking: An assessment using simulations , 2002, Magnetic resonance in medicine.

[50]  Baba C. Vemuri,et al.  Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT) , 2006, NeuroImage.

[51]  P. Basser,et al.  MR diffusion tensor spectroscopy and imaging. , 1994, Biophysical journal.

[52]  Jun Yoshino,et al.  Demyelination increases radial diffusivity in corpus callosum of mouse brain , 2005, NeuroImage.

[53]  Jan Sijbers,et al.  Comparing isotropic and anisotropic smoothing for voxel‐based DTI analyses: A simulation study , 2009, Human brain mapping.

[54]  M. Raichle,et al.  Tracking neuronal fiber pathways in the living human brain. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[55]  C. Beaulieu,et al.  The basis of anisotropic water diffusion in the nervous system – a technical review , 2002, NMR in biomedicine.

[56]  Mitra,et al.  Multiple wave-vector extensions of the NMR pulsed-field-gradient spin-echo diffusion measurement. , 1995, Physical review. B, Condensed matter.

[57]  Thomas R. Knösche,et al.  Variational inference of the fiber orientation density using diffusion MR imaging , 2008, NeuroImage.

[58]  M. Horsfield,et al.  Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging , 1999, Magnetic resonance in medicine.

[59]  Susumu Mori,et al.  Fiber tracking: principles and strategies – a technical review , 2002, NMR in biomedicine.

[60]  Abbas F. Sadikot,et al.  Flow-based fiber tracking with diffusion tensor and q-ball data: Validation and comparison to principal diffusion direction techniques , 2005, NeuroImage.

[61]  Erick Jorge Canales-Rodríguez,et al.  Mathematical description of q‐space in spherical coordinates: Exact q‐ball imaging , 2009, Magnetic resonance in medicine.

[62]  M E Bastin,et al.  On the use of water phantom images to calibrate and correct eddy current induced artefacts in MR diffusion tensor imaging. , 2000, Magnetic resonance imaging.

[63]  N. Pelc,et al.  Brain motion: measurement with phase-contrast MR imaging. , 1992, Radiology.

[64]  D. Tuch Q‐ball imaging , 2004, Magnetic resonance in medicine.

[65]  C. Tempelmann,et al.  Eddy current correction in diffusion‐weighted imaging using pairs of images acquired with opposite diffusion gradient polarity , 2004, Magnetic resonance in medicine.

[66]  V. Wedeen,et al.  Diffusion MRI of Complex Neural Architecture , 2003, Neuron.

[67]  J. Pauly,et al.  Diffusion‐weighted interleaved echo‐planar imaging with a pair of orthogonal navigator echoes , 1996, Magnetic resonance in medicine.

[68]  James G Pipe,et al.  Multishot diffusion‐weighted FSE using PROPELLER MRI , 2002, Magnetic resonance in medicine.

[69]  John S. Duncan,et al.  Abnormalities of language networks in temporal lobe epilepsy , 2007, NeuroImage.

[70]  P. Boesiger,et al.  SENSE: Sensitivity encoding for fast MRI , 1999, Magnetic resonance in medicine.

[71]  C. Pierpaoli,et al.  Characterization of and correction for eddy current artifacts in echo planar diffusion imaging , 1998, Magnetic resonance in medicine.

[72]  S. Skare,et al.  Robust GRAPPA‐accelerated diffusion‐weighted readout‐segmented (RS)‐EPI , 2009, Magnetic resonance in medicine.

[73]  A. Connelly,et al.  Sampling and reconstruction effects due to motion in diffusion‐weighted interleaved echo planar imaging , 2000, Magnetic resonance in medicine.

[74]  Steven C.R. Williams,et al.  Proc. Intl. Soc. Mag. Reson. Med. , 2012 .

[75]  A. Connelly,et al.  Anisotropic noise propagation in diffusion tensor MRI sampling schemes , 2003, Magnetic resonance in medicine.

[76]  D. Parker,et al.  Analysis of partial volume effects in diffusion‐tensor MRI , 2001, Magnetic resonance in medicine.

[77]  B. Rosen,et al.  Functional mapping of the human visual cortex by magnetic resonance imaging. , 1991, Science.

[78]  Jerry L Prince,et al.  Effects of signal‐to‐noise ratio on the accuracy and reproducibility of diffusion tensor imaging–derived fractional anisotropy, mean diffusivity, and principal eigenvector measurements at 1.5T , 2007, Journal of magnetic resonance imaging : JMRI.

[79]  C. Poupon,et al.  Regularization of Diffusion-Based Direction Maps for the Tracking of Brain White Matter Fascicles , 2000, NeuroImage.

[80]  Kevin C. Chan,et al.  Does diffusion kurtosis imaging lead to better neural tissue characterization? A rodent brain maturation study , 2009, NeuroImage.

[81]  A. Scheibel,et al.  Individual differences in brain asymmetries and fiber composition in the human corpus callosum , 1992, Brain Research.

[82]  D. Norris Implications of bulk motion for diffusion‐weighted imaging experiments: Effects, mechanisms, and solutions , 2001, Journal of magnetic resonance imaging : JMRI.

[83]  Daniel C. Alexander,et al.  Persistent Angular Structure: New Insights from Diffusion MRI Data. Dummy Version , 2003, IPMI.

[84]  V. Wedeen,et al.  Brain parenchyma motion: measurement with cine echo-planar MR imaging. , 1992, Radiology.

[85]  Jeremy D. Schmahmann,et al.  Diffusion spectrum magnetic resonance imaging (DSI) tractography of crossing fibers , 2008, NeuroImage.

[86]  N. Ayache,et al.  Log‐Euclidean metrics for fast and simple calculus on diffusion tensors , 2006, Magnetic resonance in medicine.

[87]  J. Helpern,et al.  Three‐dimensional characterization of non‐gaussian water diffusion in humans using diffusion kurtosis imaging , 2006, NMR in biomedicine.

[88]  Derek K. Jones,et al.  Determining and visualizing uncertainty in estimates of fiber orientation from diffusion tensor MRI , 2003, Magnetic resonance in medicine.

[89]  P. Grenier,et al.  MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. , 1986, Radiology.

[90]  A. Alexander,et al.  White matter tractography using diffusion tensor deflection , 2003, Human brain mapping.

[91]  A. Scheibel,et al.  Fiber composition of the human corpus callosum , 1992, Brain Research.

[92]  F. Calamante,et al.  How many diffusion gradient directions are required for HARDI , 2009 .

[93]  John S. Duncan,et al.  Combined functional MRI and tractography to demonstrate the connectivity of the human primary motor cortex in vivo , 2003, NeuroImage.

[94]  Jan Sijbers,et al.  On the construction of a ground truth framework for evaluating voxel-based diffusion tensor MRI analysis methods , 2009, NeuroImage.

[95]  D. Gadian,et al.  q‐Space imaging of the brain , 1994, Magnetic resonance in medicine.

[96]  Jan Sijbers,et al.  Probabilistic fiber tracking using the residual bootstrap with constrained spherical deconvolution , 2011, Human brain mapping.

[97]  R. Ordidge,et al.  Correction of motional artifacts in diffusion-weighted MR images using navigator echoes. , 1994, Magnetic resonance imaging.

[98]  J. Tsuruda,et al.  Diffusion-weighted MR imaging of anisotropic water diffusion in cat central nervous system. , 1990, Radiology.

[99]  Stefan Skare,et al.  A Model-Based Method for Retrospective Correction of Geometric Distortions in Diffusion-Weighted EPI , 2002, NeuroImage.

[100]  Ching-Po Lin,et al.  Validation of Diffusion Tensor Magnetic Resonance Axonal Fiber Imaging with Registered Manganese-Enhanced Optic Tracts , 2001, NeuroImage.

[101]  Andrew L. Alexander,et al.  Bootstrap white matter tractography (BOOT-TRAC) , 2005, NeuroImage.

[102]  Mark W. Woolrich,et al.  Probabilistic diffusion tractography with multiple fibre orientations: What can we gain? , 2007, NeuroImage.

[103]  Daniel C Alexander,et al.  Probabilistic anatomical connectivity derived from the microscopic persistent angular structure of cerebral tissue , 2005, Philosophical Transactions of the Royal Society B: Biological Sciences.

[104]  Geoffrey J M Parker,et al.  A framework for a streamline‐based probabilistic index of connectivity (PICo) using a structural interpretation of MRI diffusion measurements , 2003, Journal of magnetic resonance imaging : JMRI.

[105]  Chun-Hung Yeh,et al.  Resolving crossing fibres using constrained spherical deconvolution: Validation using diffusion-weighted imaging phantom data , 2008, NeuroImage.

[106]  Giuseppe Scotti,et al.  A Model-Based Deconvolution Approach to Solve Fiber Crossing in Diffusion-Weighted MR Imaging , 2007, IEEE Transactions on Biomedical Engineering.

[107]  P. Tofts Quantitative MRI of the Brain , 2003 .

[108]  P. Callaghan,et al.  NMR imaging, NMR diffraction and applications of pulsed gradient spin echoes in porous media. , 1996, Magnetic resonance imaging.

[109]  Alan Connelly,et al.  Diffusion-weighted magnetic resonance imaging fibre tracking using a front evolution algorithm , 2003, NeuroImage.

[110]  Roland Bammer,et al.  Limitations of apparent diffusion coefficient‐based models in characterizing non‐gaussian diffusion , 2005, Magnetic resonance in medicine.

[111]  Mina Kim,et al.  In vivo mapping of functional domains and axonal connectivity in cat visual cortex using magnetic resonance imaging. , 2003, Magnetic resonance imaging.

[112]  O. Simonetti,et al.  Theoretical aspects of motion sensitivity and compensation in echo‐planar imaging , 1991, Journal of magnetic resonance imaging : JMRI.

[113]  T. Mareci,et al.  Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging , 2003, Magnetic resonance in medicine.

[114]  Andrew L. Alexander,et al.  An error analysis of white matter tractography methods: synthetic diffusion tensor field simulations , 2003, NeuroImage.

[115]  Jerry L. Prince,et al.  Effects of diffusion weighting schemes on the reproducibility of DTI-derived fractional anisotropy, mean diffusivity, and principal eigenvector measurements at 1.5T , 2007, NeuroImage.

[116]  Geoff J M Parker,et al.  Optic radiation changes after optic neuritis detected by tractography‐based group mapping , 2005, Human brain mapping.

[117]  J. E. Tanner,et al.  Self diffusion of water in frog muscle. , 1979, Biophysical journal.

[118]  Rachid Deriche,et al.  Labeling of ambiguous subvoxel fibre bundle configurations in high angular resolution diffusion MRI , 2008, NeuroImage.

[119]  J. Kurhanewicz,et al.  Diffusion-weighted MR imaging of acute stroke: correlation with T2-weighted and magnetic susceptibility-enhanced MR imaging in cats. , 1990, AJNR. American journal of neuroradiology.

[120]  Gareth J. Barker,et al.  Optimal imaging parameters for fiber-orientation estimation in diffusion MRI , 2005, NeuroImage.

[121]  G. Houston,et al.  Incorporating Functional MR Imaging into Diffusion Tensor Tractography in the Preoperative Assessment of the Corticospinal Tract in Patients with Brain Tumors , 2007, American Journal of Neuroradiology.

[122]  Derek K. Jones,et al.  QUALITY ASSESSMENT THROUGH ANALYSIS OF RESIDUALS OF DIFFUSION IMAGE FITTING , 2008 .

[123]  T E Conturo,et al.  Diffusion tensor fiber tracking of human brain connectivity: aquisition methods, reliability analysis and biological results , 2002, NMR in biomedicine.

[124]  Derek K. Jones,et al.  Virtual in Vivo Interactive Dissection of White Matter Fasciculi in the Human Brain , 2002, NeuroImage.

[125]  Derek K. Jones,et al.  The effect of filter size on VBM analyses of DT-MRI data , 2005, NeuroImage.

[126]  N G Papadakis,et al.  Gradient preemphasis calibration in diffusion‐weighted echo‐planar imaging , 2000, Magnetic resonance in medicine.

[127]  T. Chenevert,et al.  Anisotropic diffusion in human white matter: demonstration with MR techniques in vivo. , 1990, Radiology.

[128]  David G. Norris,et al.  An Investigation of Functional and Anatomical Connectivity Using Magnetic Resonance Imaging , 2002, NeuroImage.

[129]  P. Hagmann,et al.  Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging , 2005, Magnetic resonance in medicine.

[130]  Derek K. Jones,et al.  RESTORE: Robust estimation of tensors by outlier rejection , 2005, Magnetic resonance in medicine.

[131]  Dae-Shik Kim,et al.  Functional activation using apparent diffusion coefficient-dependent contrast allows better spatial localization to the neuronal activity: evidence using diffusion tensor imaging and fiber tracking , 2003, NeuroImage.

[132]  G. Pearlson,et al.  Diffusion Tensor Imaging and Axonal Tracking in the Human Brainstem , 2001, NeuroImage.

[133]  Chun-Hung Yeh,et al.  The effect of finite diffusion gradient pulse duration on fibre orientation estimation in diffusion MRI , 2010, NeuroImage.

[134]  P. Basser,et al.  A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue. , 2002, Journal of magnetic resonance.

[135]  Derek K. Jones Challenges and limitations of quantifying brain connectivity in vivo with diffusion MRI , 2010 .

[136]  M E Bastin,et al.  Utilizing the diffusion‐to‐noise ratio to optimize magnetic resonance diffusion tensor acquisition strategies for improving measurements of diffusion anisotropy , 2001, Magnetic resonance in medicine.

[137]  Daniel C. Alexander,et al.  Finite pulse widths improve fibre orientation estimates in diffusion tensor MRI , 2006 .

[138]  S Skare,et al.  Condition number as a measure of noise performance of diffusion tensor data acquisition schemes with MRI. , 2000, Journal of magnetic resonance.

[139]  Alan Connelly,et al.  Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution , 2004, NeuroImage.

[140]  Derek K. Jones,et al.  The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study † , 2004, Magnetic resonance in medicine.

[141]  Karl J. Friston,et al.  Non-invasive mapping of corticofugal fibres from multiple motor areas--relevance to stroke recovery. , 2006, Brain : a journal of neurology.

[142]  A. Kalnin,et al.  Identification of the corticospinal tracts achieved using blood-oxygen-level-dependent and diffusion functional MR imaging in patients with brain tumors. , 2001, AJNR. American journal of neuroradiology.

[143]  C. Wheeler-Kingshott,et al.  About “axial” and “radial” diffusivities , 2009, Magnetic resonance in medicine.

[144]  Alexander Leemans,et al.  The B‐matrix must be rotated when correcting for subject motion in DTI data , 2009, Magnetic resonance in medicine.

[145]  Daniel C. Alexander,et al.  Linear Persistent Angular Structure MRI and non-linear Spherical Deconvolution for Diffusion MRI , 2006 .

[146]  V. Wedeen,et al.  Reduction of eddy‐current‐induced distortion in diffusion MRI using a twice‐refocused spin echo , 2003, Magnetic resonance in medicine.

[147]  Hangyi Jiang,et al.  Origin and minimization of residual motion‐related artifacts in navigator‐corrected segmented diffusion‐weighted EPI of the human brain , 2002, Magnetic resonance in medicine.

[148]  Lester Melie-García,et al.  Characterizing brain anatomical connections using diffusion weighted MRI and graph theory , 2007, NeuroImage.

[149]  N. Makris,et al.  High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity , 2002, Magnetic resonance in medicine.

[150]  M. Moseley,et al.  Magnetic Resonance in Medicine 51:924–937 (2004) Characterizing Non-Gaussian Diffusion by Using Generalized Diffusion Tensors , 2022 .

[151]  Chun-Hung Yeh,et al.  A multiple streamline approach to high angular resolution diffusion tractography. , 2008, Medical engineering & physics.

[152]  Wolfgang Grodd,et al.  Comparison of gradient encoding directions for higher order tensor diffusion data , 2009, Magnetic resonance in medicine.

[153]  G. Marchal,et al.  Quantitative diffusion tensor imaging in amyotrophic lateral sclerosis: Revisited , 2009, Human brain mapping.

[154]  P. Basser,et al.  Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. , 1996, Journal of magnetic resonance. Series B.

[155]  G J Barker,et al.  Improved reduction of motion artifacts in diffusion imaging using navigator echoes and velocity compensation. , 2000, Journal of magnetic resonance.

[156]  Robert Turner,et al.  Single-shot diffusion imaging at 2.0 tesla , 1990 .

[157]  E. Achten,et al.  Simulation and experimental verification of the diffusion in an anisotropic fiber phantom. , 2008, Journal of magnetic resonance.

[158]  P. V. van Zijl,et al.  Analysis of noise effects on DTI‐based tractography using the brute‐force and multi‐ROI approach , 2004, Magnetic resonance in medicine.

[159]  Peter J Basser,et al.  The effect of the diffusion time and pulse gradient duration ratio on the diffraction pattern and the structural information estimated from q-space diffusion MR: experiments and simulations. , 2008, Journal of magnetic resonance.

[160]  P. Basser,et al.  Estimation of the effective self-diffusion tensor from the NMR spin echo. , 1994, Journal of magnetic resonance. Series B.

[161]  Jan Sijbers,et al.  On the construction of an inter-subject diffusion tensor magnetic resonance atlas of the healthy human brain , 2008, NeuroImage.

[162]  L. Frank Anisotropy in high angular resolution diffusion‐weighted MRI , 2001, Magnetic resonance in medicine.

[163]  Rachid Deriche,et al.  Deterministic and Probabilistic Tractography Based on Complex Fibre Orientation Distributions , 2009, IEEE Transactions on Medical Imaging.

[164]  Derek K. Jones,et al.  Estimating the number of fiber orientations in diffusion MRI voxels : a constrained spherical deconvolution study , 2010 .

[165]  M. Moseley,et al.  Self‐navigated interleaved spiral (SNAILS): Application to high‐resolution diffusion tensor imaging , 2004, Magnetic resonance in medicine.

[166]  Gareth J. Barker,et al.  Estimating distributed anatomical connectivity using fast marching methods and diffusion tensor imaging , 2002, IEEE Transactions on Medical Imaging.

[167]  A Thron,et al.  Functional and diffusion-weighted magnetic resonance images of space-occupying lesions affecting the motor system: imaging the motor cortex and pyramidal tracts. , 2001, Journal of neurosurgery.

[168]  Timothy Edward John Behrens,et al.  Characterization and propagation of uncertainty in diffusion‐weighted MR imaging , 2003, Magnetic resonance in medicine.

[169]  Robin M Heidemann,et al.  High resolution diffusion‐weighted imaging using readout‐segmented echo‐planar imaging, parallel imaging and a two‐dimensional navigator‐based reacquisition , 2009, Magnetic resonance in medicine.

[170]  J. Kucharczyk,et al.  Early detection of regional cerebral ischemia in cats: Comparison of diffusion‐ and T2‐weighted MRI and spectroscopy , 1990, Magnetic resonance in medicine.

[171]  M E Bastin,et al.  Correction of eddy current-induced artefacts in diffusion tensor imaging using iterative cross-correlation. , 1999, Magnetic resonance imaging.

[172]  Martha Elizabeth Shenton,et al.  Two-Tensor Tractography Using a Constrained Filter , 2009, MICCAI.

[173]  Guy B. Williams,et al.  Improved Characterisation of Brain Anisotropy using Diffusion MRI , 2007 .

[174]  N. Papadakis,et al.  Minimal gradient encoding for robust estimation of diffusion anisotropy. , 2000, Magnetic resonance imaging.

[175]  Guy B. Williams,et al.  Inference of multiple fiber orientations in high angular resolution diffusion imaging , 2005, Magnetic resonance in medicine.

[176]  Usha Sinha,et al.  Geometric distortion correction of high‐resolution 3 T diffusion tensor brain images , 2005, Magnetic resonance in medicine.

[177]  Daniel C. Alexander,et al.  Using the Model-Based Residual Bootstrap to Quantify Uncertainty in Fiber Orientations From $Q$-Ball Analysis , 2009, IEEE Transactions on Medical Imaging.

[178]  R. Turner,et al.  Effects of intravoxel incoherent motions (IVIM) in steady‐state free precession (SSFP) imaging: application to molecular diffusion imaging , 1989, Magnetic resonance in medicine.

[179]  Stefan Skare,et al.  An auto‐calibrated, angularly continuous, two‐dimensional GRAPPA kernel for propeller trajectories , 2008, Magnetic resonance in medicine.

[180]  Alan Connelly,et al.  Robust determination of the fibre orientation distribution in diffusion MRI: Non-negativity constrained super-resolved spherical deconvolution , 2007, NeuroImage.

[181]  Carlo Pierpaoli,et al.  Confidence mapping in diffusion tensor magnetic resonance imaging tractography using a bootstrap approach , 2005, Magnetic resonance in medicine.

[182]  P van Gelderen,et al.  Restricted and anisotropic displacement of water in healthy cat brain and in stroke studied by NMR diffusion imaging , 1991, Magnetic resonance in medicine.

[183]  V. Kiselev,et al.  Gibbs tracking: A novel approach for the reconstruction of neuronal pathways , 2008, Magnetic resonance in medicine.

[184]  Peter Jezzard,et al.  Investigations on the efficiency of cardiac-gated methods for the acquisition of diffusion-weighted images. , 2005, Journal of magnetic resonance.

[185]  Timothy Edward John Behrens,et al.  A Bayesian framework for global tractography , 2007, NeuroImage.