A model for extra-axonal diffusion spectra
Wilfred W Lam 1 , Saad Jbabdi 1 , and Karla L Miller 1
FMRIB Centre, University of Oxford, Oxford,
Oxon, United Kingdom
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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