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Abstract #0506

A General Solution for Transverse Signal Decay Under the Weak Field Approximation: Theory and Validation with Spherical Perturbers

Avery J.L. Berman1,2 and Bruce Pike2

1Montreal Neurological Institute, McGill University, Montreal, QC, Canada, 2Department of Radiology and Hotchkiss Brain Institute, University of Calgary, Calgary, AB, Canada

This study presents a closed-form analytical solution that describes transverse signal relaxation using the weak field approximation (WFA). The closed-form solution (CFS) fully describes the net signal dynamics under any train of 180┬░ refocusing pulses, and we show that it is in close agreement with a commonly employed mono-exponential expression of the WFA. We compared the CFS to simulations from a medium containing spherical perturbers, with a focus on modelling red blood cells. The CFS and simulations were in close agreement but the results systematically varied depending on whether or not the spheres were allowed to overlap. This theory can be applied in areas such as tissue iron imaging or relaxometry of blood.

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