Theoretical effects of network structure on glomerular filtration of macromolecules

A parallel network model was developed to examine the effects of a distribution of capillary lengths on the filtration of macromolecules by the glomerulus. When networks having different distributions of capillary lengths (but similar values of single nephron glomerular filtration rate) were compared, the filtrate-to-plasma concentration ratio (θ(s)) for neutral macromolecules was found to increase as the vessel lengths became less uniform. Because anatomical studies have demonstrated that the glomerulus is in fact a heterogeneous network, this implies that the conventional modeling assumption of identical capillaries in parallel leads to an overestimation of effective pore sizes. However, simulations employing various pore-size distributions demonstrated that the expected errors in estimating membrane-pore parameters are generally negligible. Furthermore, the dependence of θ(s) on hemodynamic inputs such as glomerular plasma flow rate and transmembrane hydraulic pressure difference was insensitive to the assumed distribution of capillary lengths. We conclude that models based on dimensionally uniform capillary networks remain valid for interpreting clearance data for macromolecules.