Abstract #0469
From diffusion signal moments to neurite diffusivities, volume fraction and orientation distribution: An exact solution
Dmitry S. Novikov 1 , Ileana O. Jelescu 1 , and Els Fieremans 1
1
Center for Biomedical Imaging, Department of
Radiology, NYU School of Medicine, New York, NY, United
States
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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