Research Article
Background and mathematical analysis of diffusion MRI methods
Alpay Özcan,
Kenneth H. Wong,
Linda Larson-Prior,
Zang-Hee Cho,
Seong K. Mun,
Corresponding Author
Alpay Özcan
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203Search for more papers by this authorKenneth H. Wong
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203
Search for more papers by this authorLinda Larson-Prior
Department of Radiology, Washington University School of Medicine, St. Louis, MO 63110
Search for more papers by this authorZang-Hee Cho
Neuroscience Research Institute, Gachon University of Medicine and Science, Incheon, Republic of Korea 405–760
Search for more papers by this authorSeong K. Mun
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203
Search for more papers by this authorAlpay Özcan,
Kenneth H. Wong,
Linda Larson-Prior,
Zang-Hee Cho,
Seong K. Mun,
Corresponding Author
Alpay Özcan
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203Search for more papers by this authorKenneth H. Wong
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203
Search for more papers by this authorLinda Larson-Prior
Department of Radiology, Washington University School of Medicine, St. Louis, MO 63110
Search for more papers by this authorZang-Hee Cho
Neuroscience Research Institute, Gachon University of Medicine and Science, Incheon, Republic of Korea 405–760
Search for more papers by this authorSeong K. Mun
Department of Physics, Health Research, Arlington Innovation Center, Virginia Polytechnic Institute and State University, Arlington, VA 22203
Search for more papers by this authorAbstract
The addition of a pair of magnetic field gradient pulses had initially enabled the measurement of spin motion to nuclear magnetic resonance (NMR) experiments. In the adaptation of diffusion weighted (DW)-NMR techniques to magnetic resonance imaging (MRI), the taxonomy of mathematical models is divided in two categories: model matching and spectral methods. In this review, the methods are summarized starting from early DW NMR models followed up with their adaptation to DW MRI. Finally, a newly introduced Fourier analysis based unifying theory, so-called Complete Fourier Direct MRI, is included to explain the mechanisms of existing methods. © 2012 Wiley Periodicals, Inc. Int J Imaging Syst Technol, 22, 44–52, 2012
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