From diffusion signal moments to neurite diffusivities, volume fraction and orientation distribution: An exact solution

We present exact relations between the measured diffusion signal moments, and the microstructural parameters of neurites (internal and external diffusivities, volume fraction), as well as coefficients of the neurite orientation distribution function in the spherical harmonics basis, up to arbitrary order. Our solution eliminates the need for notoriously unstable nonlinear fitting, and allows one to determine all microstructural parameters using signal moments or cumulants, which are found using linear b-matrix pseudoinversion in the low-b acquisition regime. We apply our framework up to the 6th order to the human connectome data.

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