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Abstract #0884

LEMONADE(t): Exact relation of time-dependent diffusion signal moments to neuronal microstructure

Hong-Hsi Lee1, Els Fieremans1, and Dmitry S Novikov1

1Center for Biomedical Imaging, New York University, New York, NY, United States

The purpose of this work is to solve the two complementary problems: (i) Estimate the time-dependent (non-Gaussian) signatures of intra- and extra-neurite tissue compartments separately, irrespective of neurite orientational dispersion; and (ii) cure the notorious degeneracy in parameter estimation of multi-compartment models. We derive exact relations between time-dependent 2nd- and 4th-order signal moments, and all relevant time-dependent diffusion parameters in the intra- and extra-neurite space. Remarkably, the temporal dimension lifts the degeneracy in parameter estimation: The relations are formally invertible, multiple "branches" of solutions do not appear, and time-dependent DKI is enough to estimate all parameters. Precision, though, remains a challenge.

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