Drobnjak, I;
Cruz, G;
Alexander, DC;
(2013)
Optimising oscillating waveform-shape for pore size sensitivity in diffusion-weighted MR.
Microporous and Mesoporous Materials
, 178
11 - 14.
10.1016/j.micromeso.2013.03.004.
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Abstract
Optimising the shape of a generalised gradient waveform (GEN) in diffusion-weighted MR has been shown to, in theory, greatly increase sensitivity to pore size. The broad class of optimised shapes takes simple oscillatory forms. To speed up convergence of the optimisation, improve computation times and make the waveforms more practical, here we explore various oscillatory waveforms constructed from trapezoidal and sinusoidal shapes and compare their performance with the optimised GEN waveform. The oscillating waveforms are optimised to maximise sensitivity to parameters, such as axon radius, intra-cellular volume fraction and diffusion constants, of a simple white matter model. Simulation experiments find that all oscillating waveforms we tried perform significantly better than the original generalised waveform due to the improved convergence of the optimisation. Differences among the oscillating shapes however are very small and although a truncated sinusoidal waveform consistently gives the lowest cost function, no significant difference in the estimated model parameters was found. Therefore the simplest choice, i.e. the trapezoidal parametrisation, seems sufficient for most practical purposes.
Type: | Article |
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Title: | Optimising oscillating waveform-shape for pore size sensitivity in diffusion-weighted MR |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1016/j.micromeso.2013.03.004 |
Publisher version: | http://dx.doi.org/10.1016/j.micromeso.2013.03.004 |
Language: | English |
Additional information: | This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Pore size, Diffusion MR, Oscillating gradients, Axon radius |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
URI: | https://discovery.ucl.ac.uk/id/eprint/1391207 |
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