Review Article
Diffusion-tensor MRI: theory, experimental design and data analysis – a technical review
Article first published online: 5 DEC 2002
DOI: 10.1002/nbm.783
Copyright © 2002 John Wiley & Sons, Ltd.
Issue
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NMR in Biomedicine
Special Issue: Diffusion tensor imaging and axonal mapping - state of the art
Volume 15, Issue 7-8, pages 456–467, November - December 2002
Additional Information
How to Cite
Basser, P. J. and Jones, D. K. (2002), Diffusion-tensor MRI: theory, experimental design and data analysis – a technical review. NMR Biomed., 15: 456–467. doi: 10.1002/nbm.783
Publication History
- Issue published online: 5 DEC 2002
- Article first published online: 5 DEC 2002
- Manuscript Accepted: 9 JAN 2002
- Manuscript Revised: 8 JAN 2002
- Manuscript Received: 16 NOV 2001
- Abstract
- Article
- References
- Cited By
Keywords:
- diffusion;
- tensor;
- MRI;
- methods
Abstract
This article treats the theoretical underpinnings of diffusion-tensor magnetic resonance imaging (DT-MRI), as well as experimental design and data analysis issues. We review the mathematical model underlying DT-MRI, discuss the quantitative parameters that are derived from the measured effective diffusion tensor, and describe artifacts thet arise in typical DT-MRI acquisitions. We also discuss difficulties in identifying appropriate models to describe water diffusion in heterogeneous tissues, as well as in interpreting experimental data obtained in such issues. Finally, we describe new statistical methods that have been developed to analyse DT-MRI data, and their potential uses in clinical and multi-site studies. Copyright © 2002 John Wiley & Sons, Ltd.
REFERENCES
- 1. Inferring microstructural features and the physiological state of tissues from diffusion-weighted images. NMR Biomed. 1995; 8: 333–344.Direct Link:
- 2. New histological and physiological stains derived from diffusion-tensor MR images. Ann. NY Acad. Sci. 1997; 820: 123–138.Direct Link:
- 3, . Diffusion magnetic resonance imaging: its principle and applications. Anat. Rec. 1999; 257(3): 102–109.Direct Link:
- 4. Diffusion and Perfusion Magnetic Resonance Imaging. Raven Press: New York, 1995.
- 5, , , , , , . Diffusion tensor imaging: concepts and applications. J. Magn. Reson. Imag. 2001; 13(4): 534–546.Direct Link:
- 6, , , . Nuclear magnetic resonance measurement of skeletal muscle: anisotropy of the diffusion coefficient of the intracellular water. Biophys. J. 1976; 16(9): 1043–1053.
- 7, , , , . Anisotropy of water diffusion in the myocardium of the rat. Circul. Res. 1994; 74(5): 789–793.
- 8. Self diffusion of water in frog muscle. Biophys. J. 1979; 28: 107–116.
- 9, , , . Anisotropy of NMR properties of tissues. Magn. Reson. Med. 1994; 32(5): 592–601.Direct Link:
- 10, , , , , , , . Diffusion-weighted MR imaging of anisotropic water diffusion in cat central nervous system. Radiology 1990; 176(2): 439–445.
- 11, , , . Anisotropy in diffusion-weighted MRI. Magn. Reson. Med. 1991; 19(2): 321–326.Direct Link:
- 12. The Mathematics of Diffusion. Oxford University Press: Oxford, 1975.
- 13. Bloch equations with diffusion terms. Phys. Rev. 1956; 104(3): 563–565.
- 14. Nuclear induction. Phys. Rev. 1946; 70: 460–474.
- 15, . Diffusion in paraffin hydrocarbons. J. Phys. Chem. 1958; 62: 1102.
- 16. Spin echo of spins diffusing in a bounded medium. J. Chem. Phys. 1974; 60: 4508–4511.
- 17. Use of spin echoes in a pulsed magnetic-field gradient to study restricted diffusion and flow. J. Chem. Phys. 1965; 43(10): 3597–3603.
- 18, . Nuclear-magnetic-resonance study of self-diffusion in a bounded medium. Phys. Rev. 1966; 151(1): 264–272.
- 19, . Spin diffusion measurements: spin echoes in the presence of time-dependent field gradient. J. Chem. Phys. 1965; 42(1): 288–292.
- 20, , . Estimation of the effective self-diffusion tensor from the NMR spin echo. J. Magn. Reson. B 1994; 103(3): 247–254.
- 21, , . MR diffusion tensor spectroscopy and imaging. Biophys. J. 1994; 66(1): 259–267.
- 22, , . Analytical expression for the b matrix in NMR diffusion imaging and spectroscopy. J. Magn. Reson. A 1994; 108: 131–141.
- 23, , . Pulsed-gradient spin-echo studies in NMR imaging. Effects of the imaging gradients on the determination of diffusion coefficients. J. Magn. Reson. 1990; 90: 303–312.
- 24, , . The b matrix in diffusion tensor echo-planar imaging. Magn. Reson. Med. 1997; 37(2): 292–300.Direct Link:
- 25, , . Analytical calculation of the b matrix in diffusion imaging. In Diffusion and Perfusion Magnetic Resonance Imaging, BihanDL. (ed.). Raven Press: New York, 1995; 77–90.
- 26, . Imagerie de diffusion in-vivo par resonance magnetique nucleaire. Cr. Acad. Sci. (Paris) 1985; 301: 1109–1112.
- 27. Transient diffusion in system partitioned by permeable barriers. Application to NMR measurements with a pulsed field gradient. J. Chem. Phys. 1978; 69(4): 1748–1754.
- 28, , . A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissues. J. Magn. Reson. 2002; 154(1): 85–100.
- 29, . Fiber orientation mapping in an anisotropic medium with NMR diffusion spectroscopy. 11th Annual Meeting of the SMRM, Berlin, 1992; 1221.
- 30, , . Principles and applications of self-diffusion measurements by nuclear magnetic resonance. In Advances in Magnetic Resonance, WaughJ (ed.). Academic Press: New York, 1988; 1–89.
- 31, , , , . Diffusion tensor MR imaging of the human brain. Radiology 1996; 201(3): 637–648.
- 32, , , , , . Water diffusion and acute stroke. Magn. Reson. Med. 1994; 31: 154–163.Direct Link:
- 33, , . Fast tensor imaging of water diffusion changes in gray and white matter following cardiac arrest in cats. In: Proceedings of the ISMRM, 1–5 April, New York, 1996; 314.
- 34, . Toward a quantitative assessment of diffusion anisotropy. [Published erratum appears in Magn. Reson. Med. 1997; 37(6): 972.] Magn. Reson. Med. 1996; 36(6): 893–906.Direct Link:
- 35, , , . Absolute quantitation of diffusion constants in human stroke. Stroke 1997; 28: 483–490.
- 36, . Single-shot imaging with isotropic diffusion weighting. Second Annual Meeting of the SMR, San Francisco, 1994; 136.
- 37, , . Optimized isotropic diffusion weighting. Magn. Reson. Med. 1995; 34(2): 139–143.Direct Link:
- 38, . Diffusion weighting by the trace of the diffusion tensor within a single scan. Magn. Reson. Med. 1995; 33(1): 41–52.Direct Link:
- 39. Vectors and Tensors in Crystallography, Dover, 1995.
- 40, , , , , . Image processing for diffusion tensor magnetic resonance imaging. MICCAI'99, Cambridge, UK. Springer: Berlin, 1994; 441–452.
- 41, , , , . A geometric analysis of diffusion tensor measurements of the human brain. Magn. Reson. Med. 2000; 44: 283–291.Direct Link:
- 42. Anisotropy in high angular resolution diffusion-weighted MRI. Magn. Reson. Med. 2001; 45(6): 935–939.Direct Link:
- 43, , . Full representation of white-matter fibre direction on one map via diffusion tensor analysis. 5th ISMRM Meeting, Vancouver, 1997; 1743.
- 44. Oh no! One more method for color mapping of fiber tract direction using diffusion MR imaging data. 5th ISMRM, Vancouver, 1997; 1741.
- 45, . Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: application to white matter fiber tract mapping in the human brain. Magn. Reson. Med. 2000; 43(6): 921.Direct Link:
- 46, , , , , , , , , . and others. Morphometry of in vivo human white matter association pathways with diffusion-weighted magnetic resonance imaging. Ann. Neurol. 1997; 42(6): 951–962.Direct Link:
- 47, , , , . In vivo fiber-tractography in human brain using diffusion tensor MRI (DT-MRI) data. Magn. Reson. Med. 2000; 44(4): 625–632.Direct Link:
- 48. Fiber-tractography via diffusion tensor MRI (DT-MRI). 6th ISMRM, Sydney, 1998; 1226.
- 49, , , , , . White matter connectivity explored by MRI. Proceedings of the First International Conference for Functional Mapping of the Human Brain, Paris, 1995; P1.36.
- 50. Diffusion anisotropy and white matter tracts. Second Brain Map Meeting, Boston, 1996; P1A4-021.
- 51, , . 3D brain fiber reconstruction from diffusion MRI. Proceedings of International Conference on Functional Mapping of the Human Brain, Montreal, 1998.
- 52, , , . Non-invasive assessment of structural connectivity in white matter by diffusion tensor MRI. Sixth Annual Meeting of the International Society for Magnetic Resonance in Medicine, ISMRM, 1998; 531.
- 53, , , . Non-invasive assessment of axonal fiber connectivity in the human brain via diffusion tensor MRI. Magn. Reson. Med. 1999; 42(1): 37–41.Direct Link:
- 54, , , . Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Ann. Neurol. 1999; 45(2): 265–269.Direct Link:
- 55, , , , , . 3D reconstruction of axonal fibers from diffusion tensor imaging using fiber assignment by continuous tracking (FACT). 8th Annual Meeting of the ISMRM, Philadelphia, 1999; 320.
- 56, , , , , , . In vivo visualization of human neural pathways by magnetic resonance imaging. Ann. Neurol. 2000; 47(3): 412–414.Direct Link:
- 57, , , , , , , . Regularization of MR diffusion tensor maps for tracking brain white matter bundles. Proceedings of MICCAI'98. Springer: Berlin, 1998; 489–498.
- 58, , , , , . Tracking white matter fascicles with diffusion tensor imaging. 8th Annual Meeting of the ISMRM, Philadelphia, 1999; 325.
- 59, , , , , , . Towards inference of human brain connectivity from MR diffusion tensor data. Med. Image Anal. 2001; 5(1): 1–15.
- 60, , , , , , , , . Tracking neuronal fiber pathways in the living human brain. Proc. Natl Acad. Sci. USA 1999; 96(18): 10422–10427.
- 61, , , , . Diffusion MRI of Wallerian degeneration. A new tool to investigate neural connectivity in vivo? 6th ISMRM, Sydney, 1998; 1247.
- 62, , , , . Validation of DT-MRI tractography in the descending motor pathways of human subjects. ISMRM, Glasgow, 2001; 501.
- 63, . Reconstruction of vector and tensor fields from sampled discrete data. In Contemporary Mathematics, BaggettLW, LarsonDR (eds). AMS: Providence, RI, 1999; 1–15.
- 64. A least squares continuous diffusion tensor field approximation. NeuroImage 2001; 13: S168.
- 65, , , . Visualizing diffusion tensor MR images using streamtubes and streamsurfaces. Proceedings of the IEEE Visualization Conference, Utah, 2000.
- 66, , , , . Measuring cortice-cortical connectivity matrices with diffusion spectrum imaging. ISMRM, Glasgow, 2001; 502.
- 67. Lectures on Classical Differential Geometry. Dover: New York, 1961.
- 68, . Analysis and correction of motion artifacts in diffusion weighted imaging. Magn. Reson. Med. 1994; 32(3): 379–387.Direct Link:
- 69, , , , . Correction of motional artifacts in diffusion-weighted MR images using navigator echoes. Magn. Reson. Imag. 1994; 12(3): 455–460.
- 70, , . Elimination of eddy current artifacts in diffusion-weighted echo-planar images: the use of bipolar gradients. Magn. Reson. Med. 1997; 38: 1016–1021.Direct Link:
- 71, , , , , . Gradient pre-emphasis calibration in diffusion-weighted echo-planar imaging. Magn. Reson. Med. 2000; 44(4): 616–624.Direct Link:
- 72, . Correction for distortion of echo-planar images used to calculate the apparent diffusion coefficient. Magn. Reson. Med. 1996; 36(6): 960–964.Direct Link:
- 73. Correction of eddy current-induced artefacts in diffusion tensor imaging using iterative cross-correlation. Magn. Reson. Imag. 1999; 17(7): 1011–1024.
- 74, , . Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging. Magn. Reson. Med. 1999; 42(3): 515–525.Direct Link:
- 75, , . Characterization of and correction for eddy current artifacts in echo planar diffusion imaging. Magn. Reson. Med. 1998; 39(5): 801–812.Direct Link:
- 76, , , , , , , . Improved diffusion-weighted single-shot echo-planar imaging (EPI) in stroke using sensitivity encoding (SENSE). Magn. Reson. Med. 2001; 46: 548–554.Direct Link:
- 77. Mapping eddy current induced fields for the correction of diffusion-weighted echo planar images. Magn. Reson. Imag. 1999; 17: 1335–1345.
- 78, . On the use of water phantom images to calibrate and correct eddy current induced artefacts in MR diffusion tensor imaging. Magn. Reson. Imag. 2000; 18: 681–687.
- 79, , . An in vivo evaluation of the effects of local magnetic susceptibility-induced gradients on water diffusion measurements in human brain. J. Magn. Reson. 1999; 141(1): 52–61.
- 80, . Method to reduce eigenvalue sorting bias in DT-MRI. 7th Annual ISMRM, Philadelphia, 1999; 1788.
- 81, , , , . The reduction of the sorting bias in the eigenvalues of the diffusion tensor. Magn. Reson. Imag. 1999; 17(6): 893–901.
- 82, , , , , . MR microscopy of transgenic mice that spontaneously acquire experimental allergic encephalomyelitis. Magn. Reson. Med. 1998; 40(1): 119–132.Direct Link:
- 83, . Determination of background gradients with diffusion MR imaging. J. Magn. Reson. Imag. 1994; 4(6): 787–797.Direct Link:
- 84. A sensitive method to calibrate magnetic field gradients using the diffusion tensor. Third Meeting of the SMR, Nice, 1995; 308.
- 85, , . Method and system for measuring the diffusion tensor and for diffusion tensor imaging. US Patent 5,539,310, 23 July 1996.
- 86, , , , . A comparative study of acquisition schemes for diffusion tensor imaging using MRI. J. Magn. Reson. 1999; 137(1): 67–82.
- 87, . Analytical expressions for the NMR apparent diffusion-coefficients in an anisotropic system and a simplified method for determining fiber orientation. Magn. Reson. Med. 1995; 32(4): 194–200.Direct Link:
- 88, , , , . Multiple component diffusion tensor imaging in excised fixed CNS tissue. ISMRM, Philadelphia, 1999; 328.
- 89, , , . High angular resolution diffusion imaging of the human brain. ISMRM, Philadelphia, 1999; 321.
- 90, , . Temperature mapping with MR imaging of molecular diffusion: application to hyperthermia. Radiology 1989; 171(3): 853–857.
- 91. Self-diffusion in normal and heavy water in the range 1–45∞. J. Phys. Chem. 1973; 77(5): 685–688.
- 92, . Diffusion and nuclear spin relaxation in water. Phys. Rev. 1958; 111(5): 1201–1202.
- 93, , , , , , , , , . and others. Normal brain in human newborns: apparent diffusion coefficient and diffusion anisotropy measured by using diffusion tensor MR imaging. Radiology 1998; 209(1): 57–66.
- 94, . Water diffusion in the giant axon of the squid: implications for diffusion-weighted MRI of the nervous system. Magn. Reson. Med. 1994; 32(5): 579–583.Direct Link:
- 95, . Determinants of anisotropic water diffusion in nerves. Magn. Reson. Med. 1994; 31(4): 394–400.Direct Link:
- 96, , , , , . Identification of premyelination by diffusion-weighted MRI. J. Comput. Assist. Tomogr. 1995; 19(1): 28–33.
- 97, , . Is water diffusion restricted in human brain white matter? An echo-planar NMR imaging study. Neuroreport 1993; 47: 887–890.
- 98, . Water diffusion compartmentation and anisotropy at high b values in the human brain. Magn. Reson. Med. 2000; 44(6): 852–859.Direct Link:
- 99, , , , , , , , , . and others. Multi-component apparent diffusion coefficients in human brain. NMR Biomed. 1999; 12(1): 51–62.Direct Link:
- 100, , , , . Water diffusion, T(2), and compartmentation in frog sciatic nerve. Magn. Reson. Med. 1999; 42(5): 911–8.Direct Link:
- 101. Principles of Nuclear Magnetic Resonance Microscopy. Oxford University Press: Oxford 1991.
- 102, , . NMR microscopy of dynamic displacements: k-space and q-space imaging. J. Phys. E: Sci. Instrum. 1988; 21: 820–822.
- 103, , , , . Conductivity tensor mapping of the human brain using diffusion tensor MRI. Proc. Natl Acad. Sci. USA 2001; 98(20): 11697–11701.
- 104, . Parametric description of noise in diffusion tensor MRI. 8th Annual Meeting of the ISMRM, Philadelphia, 1999; 1787.
- 105, . Quantitative statistical tests for assessing changes in the trace of the diffusion tensor: clinical and biological implications. 7th Annual ISMRM, Philadelphia, 1999; 1789.
- 106, . Non-parametric statistical analysis of diffusion tensor MRI data using the bootstrap method. 8th Annual Meeting of the ISMRM, Philadelphia, 1999; 1790.
- 107, , , . Spatial transformations of diffusion tensor Images. IEEE Trans. Med. Imag. 20(11): 1131–1139.
- ADC
apparent diffusion coefficient
- CSF
cerebrospinal fluid
- DT-MRI
diffusion tensor MRI
- DI
diffusion imaging
- DWI
diffusion-weighted imaging
- EPI
echo-planar imaging
- FA
fractional anisotropy
- RA
relative anisotropy
- RMS
root mean square
- SNR
signal to noise ratio

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