Mapping tissue magnetic properties may be a useful tool for understanding basic disease mechanism in neurodegenerative diseases. However, magnetic properties depend on the arrangement of magnetic susceptibility on all scales, including the microstructure, and typically require impractical sample rotations for robust estimation. By modeling white matter fibers as a system of cylinders, here we show that the first cumulant $$$\langle\Omega\rangle$$$ of the FID signal can be obtained without the need for sample rotation, by utilizing the fiber orientation distribution function estimated by diffusion imaging.
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