Diffusion kurtosis imaging (DKI) is an important tool in tissue microstructure studies. The DKI formula for diffusion-weighted MRI signal decay arises through a high order expansion, and the kurtosis has been shown to be sensitive to changes in tissue microstructure. Interestingly, the kurtosis formula describes deviation away from mono-exponential signal decay, like that previously described for anomalous diffusion. Here, we make a link between anomalous sub-diffusion in tissue and diffusion kurtosis. This direct link enables the apparent diffusivity and kurtosis to be computed easily from the sub-diffusion model parameters, leading to superior white-grey matter contrast compared with standard DKI parameters.
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