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Abstract #3389

Analytical solution for restricted diffusion in multilayered cylinders using the extended Multiple Correlation Function approach.

Kevin GINSBURGER1,2, Jean-François MANGIN2,3, and Cyril POUPON1,2

1I2BM / Neurospin / UNIRS, CEA, Gif-sur-Yvette, France, 2Université Paris-Saclay, Orsay, France, 3I2BM / Neurospin / UNATI, CEA, Gif-sur-Yvette, France

In this work, we used the extended Multiple Correlation Function (MCF) method to derive analytical expressions of the NMR signal in multilayered cylinder geometries for an arbitrary direction of the magnetic field gradient. Each layer of the cylinder is characterized by a diffusion coefficient and a relaxation time and each boundary between adjacent layers is characterized by a value of permeability in order to allow the modeling of the multilayered structure of axons surrounded by its myelin sheat.

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