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Exploring diffusion across permeable barriers at high gradients. I. Narrow pulse approximation,
2014 (English)In: Journal of magnetic resonance, ISSN 1090-7807, E-ISSN 1096-0856, Vol. 248, p. 153-163Article in journal (Refereed) Published
Abstract [en]

The adaptive variation of the gradient intensity with the diffusion time at a constant optimal b-value is proposed to enhance the contribution of the nuclei diffusing across permeable barriers, to the pulsed-gradient spin-echo (PGSE) signal. An exact simple formula the PGSE signal is derived under the narrow pulse approximation in the case of one-dimensional diffusion across a single permeable barrier. The barrier contribution to the signal is shown to be maximal at a particular b-value. The exact formula is then extended to multiple permeable barriers, while the PGSE signal is shown to be sensitive to the permeability and to the inter-barrier distance. Potential applications of the protocol to survey diffusion in three-dimensional domains with permeable membranes are illustrated through numerical simulations.

Place, publisher, year, edition, pages
2014. Vol. 248, p. 153-163
Keywords [en]
Bloch-Torrey equation, Permeability, Diffusion, Exchange
National Category
Natural Sciences
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-225138DOI: 10.1016/j.jmr.2014.07.013OAI: oai:DiVA.org:kth-225138DiVA, id: diva2:1194336
Note

QC 20180424

Available from: 2018-03-31 Created: 2018-03-31 Last updated: 2018-05-07Bibliographically approved

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Publisher's full texthttps://www.sciencedirect.com/science/article/pii/S1090780714002134?via%3Dihub

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Nguyen, Van Dang

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