A model for extra-axonal diffusion spectra

Diffusion imaging has enormous potential for quantitative measurements of geometric properties that are directly relevant to brain function and pathology. Most work has focused on intra-axonal diffusion, despite the fact that significant signal contrast is expected to arise from the extra-axonal space. White matter diffusion models generally assume no frequency dependence of the extra-axonal diffusion spectrum measured with oscillating gradients. An empirical model is proposed for the diffusion spectra of spins around packed cylinders. Model predictions are compared with Monte Carlo simulations. The model accurately captures salient properties of the entire diffusion spectrum for square, hexagonally, and randomly packed cylinders.

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