In this work, we perform Monte Carlo simulations of diffusion in the extra-axonal space segmented from realistic 3D electron microscopy substrates. Simulations in sham and TBI rat brains confirm the universality of the power-law functional form of the axial and radial time-dependent diffusion $$$D^{\parallel,\perp}(t)$$$ and kurtosis $$$K^{\parallel,\perp}(t)$$$. We characterize the changes caused by TBI, finding that the dependence of long-time asysmptote $$$D^{\perp}_\infty$$$ on the extra-axonal volume fraction follows Archie's law. We also validate the theoretically predicted relationship between the power-law tails of $$$D(t)$$$ and $$$K(t)$$$.
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