Summary:The equilibrium C 1502 inhalation method for measuring cerebral blood flow with positron emission to mography (PET) is based on a one-compartment model for which it is assumed that the local flow and partition coefficient are uniform in the tissue region in which flow is to be determined. However, because of the limited spa tial resolution of PET, a region of interest will contain a mixture of gray and white matter. We used a computer simulation to examine the effect of this heterogeneity on flow measurement in both normal and pathological states. With gray and white matter flows of 0.80 and 0.20 mll min/g, respectively, flow is underestimated by a max imum of 20% in a region that is 30% gray. Errors occur not only because of flow heterogeneity, but also because of heterogeneity of partition coefficient and the sensiPositron emission tomography (PET) makes pos sible the in vivo, regional quantitation of radio tracers labeled with positron-emitting radionu elides. By using appropriate mathematical models which describe the behavior of specific radio tracers, cerebral blood flow (CBF) can be deter mined from measurements of brain and blood ra dioactivity.Several methods have been proposed for mea suring regional CBF (rCBF) with PET using ox ygen-15-labeled water as an inert tracer (Subra manyam et al., 1978;Raichle et al., 1981;Huang et al., 1982). These techniques differ with respect to the mode of radiotracer administration and the im-