Existing model-free approaches to determine cerebral blood flow by external
residue detection show a marked dependence of flow estimates on tracer arr
ival delays and dispersion. In theory, this dependence can be circumvented
by applying a specific model of vascular transport and tissue flow heteroge
neity. The authors present a method to determine flow heterogeneity by magn
etic resonance residue detection of a plasma marker. Probability density fu
nctions of relative flows measured in six healthy volunteers were similar a
mong tissue types and volunteers, and were in qualitative agreement with li
terature measurements of capillary red blood cell and plasma velocities. Co
mbining the measured flow distribution with a model of vascular transport y
ielded excellent model fits to experimental residue data. Fitted gray-to-wh
ite flow-rate ratios were in good agreement with PET literature values, as
well as a model-free singular value decomposition (SVD) method in the same
subjects, The vascular model was found somewhat sensitive to data noise, bu
t showed far less dependence on vascular delay and dispersion than the mode
l-free SVD approach.