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Exploring diffusion...
Abstract
Ämnesord
Stäng
- 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.
Nyckelord
- Bloch-Torrey equation
- Permeability
- Diffusion
- Exchange
- Tillämpad matematik och beräkningsmatematik
- Applied and Computational Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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