Quantitative signal analysis in the dipole field of a single vessel

Signal formation in the dipole field of a single vessel is of paramount interest in susceptibility weighted imaging and functional MRI. Spin dephasing around a vessel is analyzed with consideration of diffusion effects which cannot be neglected for small vessels. A full analytic solution of the Bloch-Torrey equation is presented without any approximations, thus enabling the correct interpretation of the susceptibility weighted signal. With these solutions at hand, SWI and DWI measurements can be interpreted at the same time, since the influence of diffusion on magnitude and phase images is included in this analysis.

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