Intralobular zonal heterogeneity and hepatic indicator dilution curves.

Conventional interpretation of hepatic indicator dilution curves rests on the assumption, among others, that every hepatocyte operates with the same rate constants. When this assumption is false, owing to intralobular zonal variation in surface-to-volume ratios and/or to zonal differences in permeability, the apparent rate constants recoverable from outflow transients are wrong estimates of average liver performance. We develop the theoretical basis for this conclusion and illustrate by example how it can confuse the interpretation of experimental data.

A parameter identification problem arising from a model of canalicular bile formation.

We develop a simple mathematical model for bile formation and analyze some features of the model that suggest the design for future physiological experiments. The mathematical model results in a boundary value problem for a system of functional differential equations depending on several physical parameters. From the observability of the boundary values we can identify, both qualitatively and quantitatively, some of these physical parameters.

On the design and interpretation of experiments to elucidate albumin-dependent hepatic uptake.

The liver's apparently anomalous extraction of organic anions tightly bound to albumin continues to provoke controversy and confusion. Decisive experiments have proved difficult to design, and mathematical models have usually been constructed to defend one or another putative mechanism to the exclusion of others. To stimulate more decisive experiments and as an aid to interpreting those already reported, we discuss a general formulation of the problem that predicts the clearance pattern to be expected when facilitated dissociation and codiffusion are joint determinants of the uptake flux.

Beta-lactoglobulin enhances the uptake of free palmitate by hepatocyte monolayers: the relative importance of diffusion and facilitated dissociation.

We compared the uptake of bound palmitate by rat hepatocytes to its uptake by polyethylene using beta-lactoglobulin (BLG) as the binding protein. The experiments were designed to supply a direct measure of the protein-dependent change in the diffusive conductance of extracellular fluid without determining the diffusion coefficients for free and bound fatty acid or the off-rate constant for protein binding. Rate-limiting dissociation in the stirred phase of extracellular fluid was excluded.