We introduced a forward model to simulate the effect of fibre dispersion on the angle-dependent GRE signal decay in different SNR conditions. We compared the classical signal model against three variations of the signal model derived from a second-order Taylor expansion in time of Wharton and Bowtell’s HCFM model, including a new model that accounts for fibre dispersion. We found a noise enhancement in the model parameters when using the second-order models. Moreover, we found that the orientation dependency of the GRE signal diminished for high dispersions.
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