Elias Kellner1,
Roman Fleysher2, Matthias Gnther3, Marco Reisert1,
Peter Gall1, Valerij G. Kiselev1
1Department
of Radiology, University Hospital Freiburg, Freiburg, Germany; 2Gruss
Magnetic Research Center, Department of Radiology, Albert Einstein College of
Medicine , Bronx, NY, United States; 3Institute for Medical Image
Computing, Fraunhofer MEVIS, 28359, Germany
Proper account for blood transport is imperative for quantitative analysis of pharmacokinetic and perfusion data in DSC, DCE, ASL MRI and CT/PET. The empirical nature of currently available models hinders prediction of delay and dispersion in higher generations of the vascular tree. We present an analytical framework for solving this problem based on the morphological parameters of vascular networks. Explicit expression with one fitting parameter is obtained for a simple scaling vascular tree. An ASL measurement in large cerebral arteries supports the model, but demonstrates weak disambiguation between several models using this vessel group.
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