In this work, we use Monte Carlo simulations to show how time-dependent diffusion, D(t), in the extra-axonal space provides information about the packing geometry of the axons. In particular we relate the correlation-length obtained from simulations to the correlation-length computed from the power spectrum of the axon packings. We also show through Monte Carlo simulations, in geometries of cylinders and realistic substrates, that D(t) can provide information that differentiates between axon loss and demyelination.
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