2017
DOI: 10.4172/2168-975x.1000229
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A Basic Introduction to Diffusion Tensor Imaging Mathematics and Image Processing Steps

Abstract: Diffusion tensor imaging (DTI) is one of the most powerful magnetic resonance imaging (MRI) techniques developed in the twentieth century. In spite of the fact that DTI has been in use for more than two decades, it is still hard to find publications that simplify mathematics behind DTI for DTI users without extensive mathematical background. We believe that this may prevent some researchers from using DTI technique to its fullest extent. To the best of our knowledge, there are no published reviews which have t… Show more

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Cited by 14 publications
(15 citation statements)
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“…The pattern of change across tissue types observed in MD was very similar for AD and RD (Figures 3(b)-3(d)) which was confirmed by linear regression (Figure 4). The minimum values of MD and RD were observed in NAWM as expected [80,81]. MD values of ~0.79 in NAWM and ~1.14 in dWMH (Figure 3(b)) were consistent with the MD in NAWM of 0.78 and the MD of 1.00 in WMH of people with minor stroke [71].…”
Section: Discussionsupporting
confidence: 77%
“…The pattern of change across tissue types observed in MD was very similar for AD and RD (Figures 3(b)-3(d)) which was confirmed by linear regression (Figure 4). The minimum values of MD and RD were observed in NAWM as expected [80,81]. MD values of ~0.79 in NAWM and ~1.14 in dWMH (Figure 3(b)) were consistent with the MD in NAWM of 0.78 and the MD of 1.00 in WMH of people with minor stroke [71].…”
Section: Discussionsupporting
confidence: 77%
“…Another popular scalar measure in DTI is mean diffusivity (MD), which represents the overall amount of diffusion. Many other scalar measures have been proposed based on the more complex behaviour of molecular diffusion and are explained in detail in surveys by Novikov et al [75], Rajagopalan et al [83] and Vilanova et al [99].…”
Section: Diffusion Tensormentioning
confidence: 99%
“…Water diffuses freely and isotropically in most conditions. When impenetrable barriers are encountered, it becomes anisotropic with an ellipsoidal shape [ 23 ], with rapid, unrestricted diffusion by the boundaries and slower, constrained diffusion vertical to the boundaries, based on the cell size and density. Diffusion in the ductal/glandular system is rapid due to the breast’s high water content and low cell density.…”
Section: Introductionmentioning
confidence: 99%
“…Although DWI does not detect this ellipsoidal shape, DTI has overcome this restriction. Theoretically, in DTI, at least six independent diffusion gradients measurements accompanied by six non-collinear directions are needed to evaluate all diffusion tensor elements [ 23 ]. At present, the most commonly used invariant anisotropy test is fractional anisotropy (FA) [ 25 ].…”
Section: Introductionmentioning
confidence: 99%