Analysis of partial volume effects in diffusion‐tensor MRI

The diffusion tensor is currently the accepted model of diffusion in biological tissues. The measured diffusion behavior may be more complex when two or more distinct tissues with different diffusion tensors occupy the same voxel. In this study, a partial volume model of MRI signal behavior for two diffusion‐tensor compartments is presented. Simulations using this model demonstrate that the conventional single diffusion tensor model could lead to highly variable and inaccurate measurements of diffusion behavior. The differences between the single and two‐tensor models depend on the orientations, fractions, and exchange between the two diffusion tensor compartments, as well as the diffusion‐tensor encoding technique and diffusion‐weighting that is used in the measurements. The current single compartment model's inaccuracies could cause diffusion‐based characterization of cerebral ischemia and white matter connectivity to be incorrect. A diffusion‐tensor MRI imaging experiment on a normal human brain revealed significant partial volume effects between oblique white matter regions when using very large voxels and large diffusion‐weighting (b ∼ 2.69 × 103 sec/mm2). However, the apparent partial volume effects in white matter decreased significantly when smaller voxel dimensions were used. For diffusion tensor studies obtained using typical diffusion‐weighting values (b ∼ 1 × 103 sec/mm2) partial volume effects are much more difficult to detect and resolve. More accurate measurements of multiple diffusion compartments may lead to improved confidence in diffusion measurements for clinical applications. Magn Reson Med 45:770–780, 2001. © 2001 Wiley‐Liss, Inc.

[1]  J. E. Tanner,et al.  Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient , 1965 .

[2]  Jörg Kärger,et al.  Principles and Application of Self-Diffusion Measurements by Nuclear Magnetic Resonance , 1988 .

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

[4]  J. Gore,et al.  Theoretical Model for Water Diffusion in Tissues , 1995, Magnetic resonance in medicine.

[5]  J G Pipe,et al.  In vivo MR determination of water diffusion coefficients and diffusion anisotropy: correlation with structural alteration in gliomas of the cerebral hemispheres. , 1995, AJNR. American journal of neuroradiology.

[6]  D. Le Bihan Molecular diffusion, tissue microdynamics and microstructure. , 1995, NMR in biomedicine.

[7]  B. Siewert,et al.  Acute human stroke studied by whole brain echo planar diffusion‐weighted magnetic resonance imaging , 1995, Annals of neurology.

[8]  Kim Butts,et al.  Clinical Aspects of DWI , 1995, NMR in biomedicine.

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

[10]  P. Basser,et al.  Toward a quantitative assessment of diffusion anisotropy , 1996, Magnetic resonance in medicine.

[11]  D. Norris,et al.  Biexponential diffusion attenuation in various states of brain tissue: Implications for diffusion‐weighted imaging , 1996, Magnetic resonance in medicine.

[12]  P. Basser,et al.  Diffusion tensor MR imaging of the human brain. , 1996, Radiology.

[13]  P A Narayana,et al.  Cerebrospinal fluid‐suppressed high‐resolution diffusion imaging of human brain , 1997, Magnetic resonance in medicine.

[14]  T. L. Davis,et al.  Morphometry of in vivo human white matter association pathways with diffusion‐weighted magnetic resonance imaging , 1997, Annals of neurology.

[15]  T. A. Carpenter,et al.  Optimised diffusion-weighting for measurement of apparent diffusion coefficient (ADC) in human brain. , 1997, Magnetic resonance imaging.

[16]  A. Szafer,et al.  An analytical model of restricted diffusion in bovine optic nerve , 1997, Magnetic resonance in medicine.

[17]  M. Bastin,et al.  A theoretical study of the effect of experimental noise on the measurement of anisotropy in diffusion imaging. , 1998, Magnetic resonance imaging.

[18]  S. Maier,et al.  Microstructural Development of Human Newborn Cerebral White Matter Assessed in Vivo by Diffusion Tensor Magnetic Resonance Imaging , 1998, Pediatric Research.

[19]  P. Basser,et al.  A simplified method to measure the diffusion tensor from seven MR images , 1998, Magnetic resonance in medicine.

[20]  E. Bullmore,et al.  The structural and functional mechanisms of motor recovery: complementary use of diffusion tensor and functional magnetic resonance imaging in a traumatic injury of the internal capsule , 1998, Journal of neurology, neurosurgery, and psychiatry.

[21]  Isabelle Bloch,et al.  Regularization of MR Diffusion Tensor Maps for Tracking Brain White Matter Bundles , 1998, MICCAI.

[22]  P A Narayana,et al.  Selective measurement of white matter and gray matter diffusion trace values in normal human brain. , 1998, Medical physics.

[23]  R. Kikinis,et al.  Magnetic resonance imaging shows orientation and asymmetry of white matter fiber tracts , 1998, Brain Research.

[24]  A. Snyder,et al.  Normal brain in human newborns: apparent diffusion coefficient and diffusion anisotropy measured by using diffusion tensor MR imaging. , 1998, Radiology.

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

[26]  L R Schad,et al.  Comparison of diffusion anisotropy measurements in combination with the flair-technique. , 1999, Magnetic resonance imaging.

[27]  G. Barker,et al.  Diffusion tensor imaging of lesions and normal-appearing white matter in multiple sclerosis , 1999, Neurology.

[28]  D. Tuch High Angular Resolution Diffusion Imaging of the Human Brain , 1999 .

[29]  N G Papadakis,et al.  A comparative study of acquisition schemes for diffusion tensor imaging using MRI. , 1999, Journal of magnetic resonance.

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

[31]  A. Snyder,et al.  Quantitative diffusion-tensor anisotropy brain MR imaging: normative human data and anatomic analysis. , 1999, Radiology.

[32]  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.

[33]  C. Westin,et al.  Multi‐component apparent diffusion coefficients in human brain † , 1999, NMR in biomedicine.

[34]  D. Parker,et al.  A geometric analysis of diffusion tensor measurements of the human brain , 2000, Magnetic resonance in medicine.