Return-to-origin probability (RTOP) measures the overall restriction of the microstructural environment and has been used to map microstructural changes related to age and pathology. However, measurement of RTOP requires either specialized acquisition (Cartesian q-space sampling) or processing (q-space gridding or modelling). We show that RTOP from multi-shell data is a weighted summation of the spherical mean signal of each individual shell. We apply our method to a multi-shell dataset of 40 subjects with b-values up to 17,800 s/mm2 and a dataset of 160 subjects from Lifespan Human Connectome Project in Aging and demonstrate its utility in mapping age-related microstructural change.
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