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Related Concept Videos

Magnetic Resonance Imaging01:24

Magnetic Resonance Imaging

Magnetic resonance imaging (MRI) is a noninvasive medical imaging technique based on a phenomenon of nuclear physics discovered in the 1930s, in which matter exposed to magnetic fields and radio waves was found to emit radio signals. In 1970, a physician and researcher named Raymond Damadian noticed that malignant (cancerous) tissue gave off different signals than normal body tissue. He applied for a patent for the first MRI scanning device in clinical use by the early 1980s. The early MRI...
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Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
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Published on: November 8, 2012

Background and Mathematical Analysis of Diffusion MRI Methods.

Alpay Ozcan1, Kenneth H Wong, Linda Larson-Prior

  • 1Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, 900 N. Glebe Road, Arlington VA, 22203, USA.

International Journal of Imaging Systems and Technology
|May 11, 2013
PubMed
Summary
This summary is machine-generated.

Diffusion weighted magnetic resonance imaging (DW-MRI) uses mathematical models to measure spin motion. This review covers early nuclear magnetic resonance (NMR) models and their MRI adaptations, introducing a unifying Fourier analysis theory.

Keywords:
DiffusionDiffusion Weighted ImagingFourier TransformMagnetic Resonance ImagingNuclear Magnetic Resonance

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Area of Science:

  • Physics
  • Biomedical Engineering
  • Medical Imaging

Background:

  • Nuclear Magnetic Resonance (NMR) techniques initially used magnetic field gradients to measure spin motion.
  • Diffusion Weighted (DW) NMR models have been adapted for Magnetic Resonance Imaging (MRI).

Purpose of the Study:

  • To review the evolution of mathematical models in Diffusion Weighted Magnetic Resonance Imaging (DW-MRI).
  • To introduce a unifying theory for existing DW-MRI methods.

Main Methods:

  • Summarizing early DW-NMR models.
  • Detailing the adaptation of these models to DW-MRI.
  • Introducing Complete Fourier Direct MRI, a Fourier analysis-based theory.

Main Results:

  • The taxonomy of DW-MRI mathematical models is divided into model matching and spectral methods.
  • A new Fourier analysis-based theory, Complete Fourier Direct MRI, unifies existing methods.

Conclusions:

  • Understanding the mathematical models is crucial for advancing DW-MRI techniques.
  • Complete Fourier Direct MRI offers a unified framework for interpreting DW-MRI data.