Prediction by mathematical simulation of different pathophysiological effects on D-sorbitol bioavailability.

ABSTRACT

In this study a mathematical model was applied to predict how changes in hepatic extraction ratio (E), fractional portal inflow (P) and renal elimination ratio (R) may affect fractional D-sorbitol bioavailability in cirrhotic patients. D-sorbitol bioavailability was computed as the ratio between cumulative urinary outputs measured after infusion into the superior mesenteric (Uma) or the hepatic artery (Uha) and a systemic vein (Usv). The present work was aimed at explaining by mathematical simulation the very large difference observed in the regression lines when plotting Uma or Uha against Usv values. The study was performed by considering a pathophysiological model of the hepatic circulation and simulating independent variations of the above considered parameters or assuming particular pathophysiological conditions like hepatic arterialization and hepatofugal flow. Computational results account for the wide dispersion of experimental data obtained in previous studies and provide reasonable explanations of unexpected findings.