Exploring diffusion across permeable barriers at high gradients. II. Localization regime.
DOI: 10.1016/J.JMR.2014.08.016
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摘要: We present an analytical solution of the one-dimensional Bloch-Torrey equation for diffusion across multiple semi-permeable barrier. This generalizes seminal work by Stoller, Happer, and Dyson, in which non-Gaussian stretched-exponential behavior pulsed-gradient spin-echo (PGSE) signal was first predicted at high gradients so-called localization regime. investigate how diffusive exchange a barrier modifies this asymptotic behavior, explore transition between regime low permeability Gaussian permeability. High are suitable to spatially localize contribution nuclei near enhance sensitivity PGSE The emergence three-dimensional domains is discussed.
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