Synopsis Recently, it was found that the signal attenuation observed in diffusion MR experiments of a pack of cylindrical impermeable microcapillary tubes have high directional sensitivity. We have modeled this signal decay as a function of q using the restricted component of the newly proposed CHARMED model, which describes intra-axonal diffusion. CHARMED fits the data nicely, and more importa...

We describe methods for the measurement of translational diffusion in very large static magnetic field gradients by NMR. The techniques use a "hole-burning" sequence that, with the use of fringe field gradients of 42 T/m, can image diffusion along one dimension on a submicron scale. Two varieties of this method are demonstrated, including a particularly efficient mode called the "hole-comb," in...

OVERVIEW In Vivo MR Spectroscopy at large diffusion weighting can specifically look at intracellular components of tissue that are characterized by restricted diffusion and a small apparent diffusion coefficient. Beyond water, H MRS of metabolites at large diffusion weighting proved to be very useful to separate extraand intracellular contributions of metabolites in the brain. Further applicati...

This article reviews a new concept in magnetic resonance as applied to cellular and biological systems. Diffusion weighted magnetic resonance imaging can be used to infer information about restriction sizes of samples being measured. The measurements rely on the apparent diffusion coefficient changing with diffusion times as measurements move from restricted to free diffusion regimes. Pulsed gr...

New weak and strong existence uniqueness results for the solutions of multi-dimensional stochastic McKeanâ??Vlasov equation are established under relaxed regularity conditions. Weak requires a non-degeneracy diffusion no more than linear growth both coefficients in state variable. restricted assumption diffusion, yet without any drift; this part is based on analysis total variation metric.

The image-mean square displacement technique applies the calculation of the mean square displacement commonly used in single-molecule tracking to images without resolving single particles. The image-mean square displacement plot obtained is similar to the mean square displacement plot obtained using the single-particle tracking technique. This plot is then used to reconstruct the protein diffus...