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MR Diffusion Tensor Imaging, Tractography. Richard Watts, D.Phil. Citigroup Biomedical Imaging Center Weill Medical College of Cornell University Box 234, 1300 York Avenue, New York, NY 10021 Email riw2004@med.cornell.edu , Telephone 212 746-5781. Acknowledgements.
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MR Diffusion Tensor Imaging, Tractography Richard Watts, D.Phil. Citigroup Biomedical Imaging Center Weill Medical College of Cornell University Box 234, 1300 York Avenue, New York, NY 10021 Email riw2004@med.cornell.edu, Telephone 212 746-5781
Acknowledgements • Weill Medical College of Cornell University • Department of Radiology • Aziz Ulug, Linda Heier. • Citigroup Biomedical Imaging Center • Doug Ballon, Jon Dyke, Katherine Kolbert. • Sackler Institute • BJ Casey, Matt Davidson, Katie Thomas.
Outline • Background • Diffusion • Restricted Diffusion and Anisotropy • Methods • Data Acquisition • Display of Diffusion Tensor Data • Fiber Tracking • Problems and Limitations • Examples
Diffusion Equation r = Displacement (mm) D = Diffusion constant (mm2/s) t = Time (mm)
Distance Scales Question: What distance do protons travel during an EPI readout time? Assume: Diffusion constant ~ 10-3 mm2/s Time ~ 100 ms = 0.1s The root mean square (RMS) distance is ~0.02mm = 20μm Such an experiment is sensitive to changes in diffusion caused by structures on this scale or smaller
180º 90º RF time TE Diffusion Gradients g Gx where Data Acquisition – Spin Echo Echo
Anisotropy Isotropic: Having the same properties in all directions Anisotropic: Not isotropic; having different properties in different directions Webster’s Dictionary
180º 90º RF time TE Gx Gy Gz Data Acquisition – Spin Echo Echo Linear combination of gradients - measure component of diffusion in any direction
Diffusion Tensor Imaging • Tensor is a mathematical model of the directional anisotropy of diffusion • Represented by a 3x3 symmetric matrix 6 degrees of freedom • Fit experimental data to the tensor model • From the tensor, we can calculate • Direction of greatest diffusion • Degree of anisotropy • Diffusion constant in any direction
* Various definitions Calculated Quantities… T2-Weighted Image “Average” Diffusion* Degree of Anisotropy* Diffusion along X Diffusion along Y Diffusion along Z
1. (Approximately) Isotropic Diffusion How a blob of ink would spread out
2. Anisotropic Diffusion How a blob of ink would spread out
Vector Plot In-plane Through-plane
Direction of Greatest Diffusion + + + X-component Y-component Z-component Anisotropy Color (Hue) = Direction of highest diffusion Brightness = Degree of anisotropy =
Diffusion Tensor – Colour Map Left-Right Anterior-Posterior Superior-Inferior
Diffusion Tensor – 3D Colour Map Left-Right Anterior-Posterior Superior-Inferior
Which Directions? Isotropic resolution diffusion tensor imaging with whole brain acquisition in a clinically acceptable time D.K. Jones, S.C.R. Williams, D. Gasston, M.A. Horsfield, A. Simmons, R. Howard Human Brain Mapping 15, 216-230 (2002)
Fiber Tracking – Discrete Case Direction of Greatest diffusion
Fiber Tracking – Discrete Case Direction of Greatest diffusion
Fiber Tracking – Continuous Case Direction of Greatest diffusion Mori et al, 1999
Fiber Tracking – Where to Start • Everywhere: Seed points distributed evenly throughout volume
Fiber Tracking – Where to Start • Within a plane: All fibers within or crossing a selected plane are tracked
Fiber Tracking – Where to Start • Within a small volume
“Human Neuroanatomy” Carpenter & Sutin 1981 Upper Extremity Trunk Lower Extremity
“Human Neuroanatomy” Carpenter & Sutin 1983 Upper Extremity Trunk Lower Extremity
Fiber Tracking - CST Subject 1 Subject 2 Subject 3 Subject 4
Cingulum Feet movement Tongue movement Corpus Callosum Longitudinal Fasciculus Corticospinal Tract Crossing Fibers