Analytical Expressions for the b Matrix in NMR Diffusion Imaging and Spectroscopy

General analytical expressions are presented for the b matrix used in diffusion NMR imaging and spectroscopy. These expressions are evaluated in the case of a two-dimensional Fourier-transform spin-echo imaging sequence and show the effect of "cross terms" between gradient pulses. The diag...

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Bibliographic Details
Published in:Journal of magnetic resonance. Series A 1994-06, Vol.108 (2), p.131-141
Main Authors: Mattiello, J., Basser, P.J., Lebihan, D.
Format: Article
Language:English
Subjects:
Bioengineering
Exact sciences and technology
Imaging
Infrared, submillimeter wave, microwave and radiowave instruments, equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Life Sciences
Physics
Submillimeter wave, microwave and radiowave spectrometers
magnetic resonance spectrometers, auxiliary equipments and techniques
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Summary:General analytical expressions are presented for the b matrix used in diffusion NMR imaging and spectroscopy. These expressions are evaluated in the case of a two-dimensional Fourier-transform spin-echo imaging sequence and show the effect of "cross terms" between gradient pulses. The diagonal and off-diagonal components of the b matrix are calculated for the anisotropic diffusion tenser. The proposed analysis allows diffusion coefficients and tensors to be determined accurately and with greater efficiency.
ISSN:1064-1858
1096-0864
DOI:10.1006/jmra.1994.1103