It has been found that when the single-shell two-compartment free water fit is initialized with a constant trace of the tissue tensor, the final results maintain this constant tissue-trace. It is therefore important to understand the implications of the constant tissue-trace constraint in order to interpret the results of single-shell free water studies. Here we demonstrate that this constraint results in allotting all variation in isotropic diffusivity to the free water compartment while the tissue tensor is unaffected by isotropic variations. It is further shown that the isotropic compartment is more linearly aligned with quadratic variations in diffusivity.
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