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Abstract #0077

Inferring Micron-scale Tissue Structure using Extreme Value Theory for Cylindrically-restricted Diffusion

Leigh A. Johnston1,2, David Wright2, Rick H. H. M. Philipsen3, Scott C. Kolbe2, James A. Bourne4, Iven M. Y. Mareels1, Gary F. Egan2

1Electrical & Electronic Engineering & NICTA VRL, University of Melbourne, Parkville, VIC, Australia; 2Howard Florey Institute, Florey Neuroscience Institutes, Parkville, VIC, Australia; 3Technical University of Eindhoven, Netherlands; 4Australian Regenerative Medicine Institute, Monash University, Australia

The non-exponential signal decay observed in q-space diffusion acqusitions is derived for restricted diffusion in cylinders, using a probabilistic approach based on extreme value theory and expectation over continuum distributions for geometry-dependent apparent diffusion coefficients. Simulation and experimental results demonstrate the accuracy of the resultant non-exponential signal decay and the ability to infer axon densities without need for pulse duration or diffusion time approximations.