We present a numerical framework for validation of diffusion models applied to biological tissues. By performing Monte Carlo simulations in a geometry created by automated segmentation of 3-dimensional mouse brain electron-microscopy images, we study the time-dependence of the diffusion coefficient and kurtosis along individual white matter axons, with or without orientation dispersion. Simulation results, together with the analysis of spatial correlations of axonal cross-section variations along axons, point at the short-range disorder in restrictions to diffusion, and agree with theoretical predictions. Our results are consistent with diffusion time-dependence observed in in vivo human brain data.
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