Optimizing Diffusion-Weighted MRI Using Electrostatic Repulsion

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For optimal modeling of the tissue diffusion, the diffusion gradient directions need to be evenly distributed on a hemisphere (the signal attenuation in direction will be identical to directions ). This can be done using electrostatic repulsion of particles on a sphere [4]. This method also allows for optimal multishell gradient distributions, where the shell weighting determines if the sub-shells are optimized () or the total number of directions is optimized () [5]. Multiple shells are shown using points with different colors.

Contributed by: Martijn Froeling (March 2015)
Open content licensed under CC BY-NC-SA


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References

[1] D. Le Bihan, E. Breton, D. Lallemand, P. Grenier, E. Cabanis, and M. Laval-Jeantet, "MR Imaging of Intravoxel Incoherent Motions: Application to Diffusion and Perfusion in Neurologic Disorders," Radiology, 161(2), 1986 pp. 401–407. doi:10.1148/radiology.161.2.3763909.

[2] J. Mattiello, P. J. Basser, and D. Le Bihan, "The b Matrix in Diffusion Tensor Echo-Planar Imaging," Magnetic Resonance in Medicine, 37(2), 1997 pp. 292–300. doi:10.1002/mrm.1910370226.

[3] P. J. Basser, J. Mattiello, and D. Le Bihan, "MR Diffusion Tensor Spectroscopy and Imaging," Biophysical Journal, 66(1), 1994 pp. 259–267. doi:10.1016/S0006-3495(94)80775-1.

[4] D. K. Jones, M. A. Horsfield, and A. Simmons, "Optimal Strategies for Measuring Diffusion in Anisotropic Systems by Magnetic Resonance Imaging," Magnetic Resonance in Medicine, 42(3), 1999 pp. 515–525. onlinelibrary.wiley.com/doi/10.1002/%28SICI %291522-2594%28199909 %2942:3%3 C515::AID-MRM14 %3 E3 .0.CO;2-Q/abstract.

[5] E. Caruyer, C. Lenglet, G. Sapiro, and R. Deriche, "Design of Multishell Sampling Schemes with Uniform Coverage in Diffusion MRI," Magnetic Resonance in Medicine, 69(6), 2013 pp. 1534–1540. doi:10.1002/mrm.24736.



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