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Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases

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Spatial Mapping of Translational Diffusion Coefficients Using Diffusion Tensor Imaging: A Mathematical Description.

Anil N Shetty¹, Sharon Chiang², Mirjana Maletic-Savatic³

¹Texas Children's Pavilion for Women, Department of Obstetrics and Gynecology, Baylor College of Medicine, Houston 77030, TX.

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|July 22, 2016

Summary

This summary is machine-generated.

Diffusion weighted imaging and diffusion tensor imaging analyze water molecule diffusion in tissues. These techniques reveal microstructural information, particularly in white matter, by mapping the direction and magnitude of diffusion.

Keywords:

diffusion diffusion anisotropy diffusion tensor tractography

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Area of Science:

Medical Imaging
Biophysics
Neuroscience

Background:

Molecular diffusion is a random thermal Brownian motion.
Biological tissue microstructures restrict water molecule diffusion, causing directional dependency.
Diffusion tensor characterizes water diffusion, providing insights into magnitude and direction.

Purpose of the Study:

To discuss the theoretical underpinnings of diffusion weighted imaging (DWI) and diffusion tensor imaging (DTI).
To explain how water diffusion in tissues is mathematically modeled.
To highlight the application of DTI in visualizing human brain white matter organization.

Main Methods:

Mathematical characterization of water diffusion using the diffusion tensor.
Diagonalization of the diffusion tensor to obtain eigenvalues and eigenvectors.
Analysis of diffusion tensor properties and anisotropic indices.

Main Results:

Diffusion tensor imaging (DTI) allows for contrast generation based on diffusion effects.
Diagonalization of the diffusion tensor reveals diffusion magnitude and directionality.
Anisotropic indices derived from the diffusion tensor provide structural information.

Conclusions:

DTI is crucial for understanding water diffusion in biological tissues.
The technique is particularly valuable for analyzing white matter due to fiber orientation.
DTI enables visualization of complex fiber tract organization in the human brain.