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This paper utilizes compartmental analysis and a statistical optimizationtechnique in order to reduce a compartmental model describing the metabolism oflabelled glucose in liver. Specifically, we first design a compartmental modelfor the gut providing as output the tracer concentration in the portal vein.This quantity is then used as one of the two input functions in a compartmentalmodel for the liver. This model, in turn, provides as output the tracercoefficients quantitatively describing the effectiveness with which thelabelled glucose is transported between the different compartments. For bothmodels, the computation of the solutions for the inverse problems is performedby means of an Ant Colony Optimization algorithm. The validation of the wholeprocess is realized by means of synthetic data simulated by solving the forwardproblem of the compartmental system.

Compartmental analysis of nuclear imaging data for the quantification of FDG liver metabolism