g-ratio is an important parameter of axon physiology and there is great interest in estimating it non-invasively in MRI. Existing approaches rely on fitting to a multi-compartment model and calculating g-ratio from the estimated volume fractions (Stikov et al, 2015). Here, we show that we can get improved estimates of the g-ratio by modelling its contribution to frequency offsets in GRE data using a hollow cylinder fibre model. Through simulations and model fitting to in vivo human GRE data we show g-ratio estimates are improved and closer to values obtained from histology compared with the existing approach.
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