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Analytical derivation of the b matrix of a time-efficient isotropic diffusion weighting gradient waveform
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10.1118/1.4789489
/content/aapm/journal/medphys/40/3/10.1118/1.4789489
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/3/10.1118/1.4789489

Figures

Image of FIG. 1.
FIG. 1.

Conventional gradient scheme for isotropic diffusion weighting. For all gradient lobes, the rise time is equal ɛ and the duration (rise time + plateau time) is equal δ.

Image of FIG. 2.
FIG. 2.

Optimized gradient waveform for isotropic diffusion weighting. For all gradient lobes, the rise time is equal ɛ.

Image of FIG. 3.
FIG. 3.

FLASH sequence used for calculation and experiments.

Image of FIG. 4.
FIG. 4.

Coronal hyperpolarized 3He MR images of the lungs of a healthy nonsmoker. Ventilation image acquired without applying dedicated diffusion weighting gradients (a) and mean diffusivity maps calculated from images acquired with optimized (b) and conventional (c) gradient waveforms. Red circle indicates position of ROI used for MD estimation.

Tables

Generic image for table
TABLE I.

Values of the imaging gradients for the FLASH sequence with an asymmetric rf pulse [resulting cross terms and b value for phase encoding direction: b Iyy (phase) = b Ixy = b Ixz = b Iyz = 0].

Generic image for table
TABLE II.

Conventional gradient parameter set giving isotropic diffusion weighting with a total b value of 6 s/cm2. The resulting cross terms of the b matrix are: b Dxy = b Dxz = b Dyz = 0 s/cm2. The overall length of the scheme was 7.68 ms.

Generic image for table
TABLE III.

Gradient parameter set giving isotropic diffusion weighting with a total b value of 6 s/cm2. The resulting cross terms of the b matrix are: b Dxy = b Dxz = 0, b Dyz = 0.00021 s/cm2. The overall length of the scheme was 5.16 ms.

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/content/aapm/journal/medphys/40/3/10.1118/1.4789489
2013-02-08
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analytical derivation of the b matrix of a time-efficient isotropic diffusion weighting gradient waveform
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/40/3/10.1118/1.4789489
10.1118/1.4789489
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