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LIVER AND BILIARY TRACT

Impulse-response function of splanchnic circulation with model-independent constraints: theory and experimental validation

¹Positron Emission Tomography Center and ²Department of Medicine V, Aarhus University Hospital, DK-8000 Aarhus C, Denmark; and ³Department of Mathematics, University of Queensland, Brisbane, Qld 4072 Australia

Submitted 3 February 2003 ; accepted in final form 3 April 2003

Modeling physiological processes using tracer kinetic methods requires knowledge of the time course of the tracer concentration in blood supplying the organ. For liver studies, however, inaccessibility of the portal vein makes direct measurement of the hepatic dual-input function impossible in humans. We want to develop a method to predict the portal venous time-activity curve from measurements of an arterial time-activity curve. An impulse-response function based on a continuous distribution of washout constants is developed and validated for the gut. Experiments with simultaneous blood sampling in aorta and portal vein were made in 13 anesthetized pigs following inhalation of intravascular [¹⁵O]CO or injections of diffusible 3-O-[¹¹C]methylglucose (MG). The parameters of the impulse-response function have a physiological interpretation in terms of the distribution of washout constants and are mathematically equivalent to the mean transit time () and standard deviation of transit times. The results include estimates of mean transit times from the aorta to the portal vein in pigs: = 0.35 ± 0.05 min for CO and 1.7 ± 0.1 min for MG. The prediction of the portal venous time-activity curve benefits from constraining the regression fits by parameters estimated independently. This is strong evidence for the physiological relevance of the impulse-response function, which includes asymptotically, and thereby justifies kinetically, a useful and simple power law. Similarity between our parameter estimates in pigs and parameter estimates in normal humans suggests that the proposed model can be adapted for use in humans.

modeling; mean transit time; portal vein; spleen; power-law kinetics

This article has been cited by other articles:

				O. L. Munk, L. Bass, H. Feng, and S. Keiding Determination of Regional Flow by Use of Intravascular PET Tracers: Microvascular Theory and Experimental Validation for Pig Livers J. Nucl. Med., November 1, 2003; 44(11): 1862 - 1870. [Abstract] [Full Text] [PDF]