Modeling the transformation of exogenously supplied cAMP in the perfused rat liver

A kinetic model describing the behavior of extracellularly supplied cAMP in the perfused rat liver was derived and compared with experimental data. The model was based on the following conditions and assumptions: a) labeled cAMP is being constantly infused (step input); b) permeation of the cell membrane is an essentially irreversible step (k(in) as transfer coefficient); c) the adenine moiety of cAMP incorporates into a nucleotide pool (km1 as transformation coefficient), which cannot permeate the cell membrane; d) the adenine moiety of cAMP can be transferred from the nucleotide pool to a nucleoside + free base pool (km2 as transformation coefficient), which is able to permeate the cell membrane (k(ef) as transfer coefficient). These events were described by a series of differential equations for which an analytical solution was obtained. Total cellular incorporation of label derived from [3H]cAMP was measured in the isolated perfused rat liver. The equations of the model were fitted to these experimental data by means of a least-squares procedure. In the fitting procedure the previously determined k(in) value (0.55 ml min(-1) ml cellular space(-1)) was used. The model is able to describe the experimental data (correlation coefficient = 0.993 +/- 0.008) with km1, km2 and k(ef) values of 17.11, 0.0948 and 1.385 min(-1), respectively. Simulations revealed the following sequence of decreasing intracellular pool sizes: nucleotide pool > nucleoside + free base pool > intracellular cAMP. The intracellular cAMP concentrations correspond to only 3.2% of the extracellular ones. This low proportion explains why it was generally difficult to detect cAMP in the cell space when this compound was added to an isolated cell system. The model and the parameters determined in the present work can be used to predict intracellular cAMP concentrations in the perfused liver for specific extracellular concentrations.