Selected references on diffusion-weighted and diffusion tensor MRI

These references were selected from outside the standard visualization literature, in order to assist those interested in visualization in learning more about this research area.

Background

* PT Callaghan. Principles of Nuclear Magnetic Resonance Microscopy. Oxford University Press, Inc., New York, New York, 1991. 


* J Crank. The Mathematics of Diffusion. Oxford University Press, Oxford, England, 1975. 


* DA Danielson. Vectors and Tensors in Engineering and Physics. Westview Press, Boulder, Colorado, 2nd edition, 2003. 


* A Einstein. Investigations on the Theory of Brownian Motion. Dover Publications, New York, 1956. R F ̈urthe, editor. AD Cowper, translator. 


* Z-P Liang and PC Lauterbur. Principles of Magnetic Resonance Imaging: A Signal Processing Perspective. Wiley-IEEE Press, 1999. 


* D Pickens. Magnetic resonance imaging. In J Beutel, HL Kundel, and RL van Metter, editors, Handbook of Medical Imaging, pages 373–461. Society of Photo-Optical Instrumentation Engineers (SPIE), Bellingham, Washington, 2000. Volume 1: Physics and Psychophysics. 


* HH Schild. MRI Made Easy. Berlex Laboratories, Wayne, New Jersey, 1994. 


On DWI and DTI acquisition

* PJ Basser and DK Jones. Diffusion-tensor MRI: Theory, experimental design and data analysis - A technical review. Nuclear Magnetic Resonance in Biomedicine, 15:456–467, 2002. 


* PJ Basser, J Mattiello, and D Le Bihan. Estimation of the effective self-diffusion tensor from the NMR spin-echo. Journal of Magnetic Resonance, B, 103(3):247– 254, 1994. 


* PJ Basser, J Mattiello, and D Le Bihan. MR diffusion tensor spectroscopy and imaging. Biophysics Journal, 66(1):259–267, 1994. 


* PJ Basser and C Pierpaoli. A simplified method to measure the diffusion tensor from seven MR images. Magnetic Resonance in Medicine, 39:928–923, 1998. 


* TE Conturo, RC McKinstry, E Akbudak, and BH Robinson. Encoding of anisotropic diffusion with tetrahedral gradients: A general mathematical diffusion formalism and experimental results. Magnetic Resonance in Medicine, 35(3):399– 412, 1996. 


* DK Jones. The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A monte carlo study. Magnetic Resonance in Medicine, 51:807–815, 2004. 


* E Stejskal and J Tanner. Spin diffusion measurements: Spin echos in the presence of time-dependent field gradient. Journal of Chemical Physics, 42:288–292, 1965. 


The origins and measurement of anisotropy

* C Beaulieu. The basis of anisotropic water diffusion in the nervous system - A technical review. Nuclear Magnetic Resonance in Biomedicine, 15:435–455, 2002. 


* D Le Bihan. Molecular diffusion, tissue microdynamics and microstructure. Nuclear Magnetic Resonance in Biomedicine, 8:375–386, 1995. 


* D Le Bihan, R Tuner, and P Douek. Is water diffusion restricted in human brain white matter? An echo-planar NMR imaging study. Neuroreport, 4:887–890, 1993. 


* AL Alexander, K Hasan, G Kindlmann, DL Parker, and JS Tsurada. A geometric analysis of diffusion tensor measurements of the human brain. Magnetic Resonance in Medicine, 44:283–291, 2000. 


* PJ Basser. New histological and physiological stains derived from diffusion-tensor MR images. Annals of the New York Academy of Sciences, 820:123–138, 1997.


* LR Frank. Anisotropy in high angular resolution diffusion-weighted MRI. Magnetic Resonance in Medicine, 45:935–939, 2001. 


* LR Frank. Characterization of anisotropy in high angular resolution diffusion-weighted MRI. Magnetic Resonance in Medicine, 47:1083–1099, 2002. 


* C Pierpaoli and PJ Basser. Toward a quantitative assessment of diffusion anisotropy. Magnetic Resonance in Medicine, 33:893–906, 1996. 


* AM Ulŭg and PCM van Zijl. Orientation-independent diffusion imaging without tensor diagonalization: Anisotropy definitions based on physical attributes of the diffusion ellipsoid. Journal of Magnetic Resonance Imaging, 9:804–813, 1999. 


* C-F Westin, S Peled, H Gub jartsson, R Kikinis, and FA Jolesz. Geometrical diffusion measures for MRI from tensor basis analysis. In Proceedings of the 5th Annual Meeting of ISMRM, 1997. 


Applications of diffusion MRI

* DS Tuch, TG Reese, MR Wiegell, N Makris, JW Belliveau, and VJ Wedeen. High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magnetic Resonance in Medicine, 48:577–582, 2002. 


* DS Tuch, RM Weisskoff, JW Belliveau, and VJ Wedeen. High angular resolution diffusion imaging of the human brain. In Proceedings of the 7th Annual Meeting of ISMRM, page 321, 1999. 


* MA Horsfield and DK Jones. Applications of diffusion-weighted and diffusion tensor MRI to white matter diseases - a review. NMR in Biomedecine, 15:570–577, 2002. 


* J Dou, W-YI Tseng, TG Reese, and VJ Wedeen. Combined diffusion and strain MRI reveals structure and function of human myocardial laminar sheets in vivo. Magnetic Resonance in Medicine, 50:107–113, 2003. 


* EW Hsu, AL Muzikant, SA Matulevicius, RC Penland, and CS Henriquez. Magnetic resonance myocardial fiber-orientation mapping with direct histological correlation. American Journal of Physiology, 274:1627–1634, 1998. 


* DF Scollan, A Holmes, R Winslow, and J Forder. Histological validation of myocardial microstructure obtained from diffusion tensor magnetic resonance imaging. American Journal of Physiology, 275:2308–2318, 1998. 


* C Pierpaoli, P Jezzard, PJ Basser, A Barnett, and G DiChiro. Diffusion tensor MR imaging of the human brain. Radiology, 201(3):637–648, 1996. 


* Y Seo, H Shinar, Y Morita, and G Navon. Anisotropic and restricted diffusion of water in the sciatic nerve: A (2)H double-quantum-filtered NMR study. Magnetic Resonance in Medicine, 42:461–466, 1999. 


* CH Sotak. The role of diffusion tensor imagging in the evaluation of ischemic brain injury - a review. NMR in Biomedicine, 15:561–569, 2002. 


* VJ Wedeen, TG Reese, VJ Napadow, and RJ Gilbert. Demonstration of primary and secondary muscle fiber architecture of the bovine tongue by diffusion tensor magnetic resonance imaging. Biophysical Journal, 80:1024–1028, Feb 2001. 


* MR Wiegell, HBW Larsson, and VJ Wedeen. Fiber crossing in human brain depicted with diffusion tensor MR imaging. Radiology, 217(3):897–903, Dec 2000. 


Processing and analysis of DTI

* AL Alexander, KM Hasan, M Lazar, JS Tsuruda, and DL Parker. Analysis of partial volume effects in diffusion-tensor MRI. Magnetic Resonance in Medicine, 45:770–780, 2001. 


* DC Alexander, GJ Barker, and SR Arridge. Detection and modeling of non-gaussian apparent diffusion coefficients profiles in human brain data. Magnetic Resonance in Medicine, 48:331–340, 2002. 


* MM Bahn. Invariant and orthonormal scalar measures derived from magnetic resonance diffusion tensor imaging. Journal of Magnetic Resonance, 141:68–77, 1999. 


* PJ Basser and C Pierpaoli. Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. Journal of Magnetic Resonance, Series B, 111:209–219, 1996. 


* JC Criscione, JD Humphrey, AS Douglas, and WC Hunter. An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity. Journal of Mechanics and Physics of Solids, 48:2445–2465, 2000. 


* KM Hasan, PJ Basser, DL Parker, and AL Alexander. Analytical computation of the eigenvalues and eigenvectors in DT-MRI. Journal of Magnetic Resonance, 152:41–47, 2001. 


* S Pajevic, A Aldroubi, and PJ Basser. A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue. Journal of Magnetic Resonance, 154:85–100, 2002. 


* S Pajevic and PJ Basser. Parametric and non-parametric statistical analysis of DT-MRI data. Journal of Magnetic Resonance, 161:1–14, 2003.


* C-F Westin, SE Maier, B Khidhir, P Everett, FA Jolesz, and R Kikinis. Image processing for diffusion tensor magnetic resonance imaging. In Proceedings of the 2nd Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), pages 441–452, September 1999. 


* C-F Westin, SE Maier, H Mamata, A Nabavi, FA Jolesz, and R Kikinis. Processing and visualization for diffusion tensor MRI. Medical Image Analysis, 6:93–108, 2003. 


* S Pajevic and C Pierpaoli. Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: Application to white matter fiber tract mapping in the human brain. Magnetic Resonance in Medicine, 42(3):526–540, 1999. 


* C Pierpaoli. Oh no! One more method for color mapping of fiber tract direction using diffusion MR imaging data. In Proceedings of the 5th Annual Meeting of ISMRM, page 1741, 1997. 


Fiber tractography

* PJ Basser. Fiber-tractography via diffusion tensor MRI (DT-MRI). In Proceedings of the 6th Annual Meeting of ISMRM, page 1226, 1998. 


* PJ Basser, S Pajevic, C Pierpaoli, J Duda, and A Aldroubi. In vivo fiber tractograpy using DT-MRI data. Magnetic Resonance in Medicine, 44:625–632, 2000. 


* T Conturo, N Lori, T Cull, E Akbudak, A Snyder, J Shimony, R McKinstry, H Burton, and M Raichle. Tracking neuronal fiber pathways in the living human brain. Proceedings of the National Academy of Sciences, 96:10422–10427, 1999. 


* P Hagmann, J-P Thiran, L Jonasson, P Vandergheynst, S Clarke, P Maeder, and R Meuli. DTI mapping of human brain connectivity: Statistical fibre tracking and virtual dissection. NeuroImage, 19:545–554, 2003. 


* M Lazar, D Weinstein, K Hasan, and AL Alexander. Axon tractography with tensorlines. In Proceedings of the 8th Annual Meeting of ISMRM, page 481, 2000. 


* M Lazar, DM Weinstein, JS Tsuruda, KM Hasan, K Arfanakis, E Meyer, B Badie, HA Rowley, V Haughton, A Field, and AL Alexander. White matter tractography using diffusion tensor deflection. Human Brain Mapping, 18:306–321, 2003. 


* N Makris, AJ Worth, G Sorensen, GM Papadimitriou, O Wu, TK Reese, VJ Wedeen, TL Davis, JW Stakes, VS Caviness, E Kaplan, BR Rosen, DN Pandya, and DN Kennedy. Morphometry of in vivo human white matter association pathways with diffusion weighted MRI. Annals of Neurology, 42(6):951–962, 1997. 


* S Mori, BJ Crain, VP Chacko, and PCM van Zijl. Three dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Annals Neurology, 45:265–269, 1999. 


* S Mori and PC Van Zijl. Fiber tracking: Principles and strategies - A technical review. Nuclear Magnetic Resonance in Biomedicine, 15:468–480, 2002.