title: Using three-, four-, and n-compartment closed models to estimate glomerular filtration rate during and after a constant rate intravenous infusion.
abstract: The two-compartment open model is currently used to assess the glomerular filtration rate (GFR) after a single intravenous injection or a constant rate intravenous infusion. This model needs multiple blood samples from a patient, thus numerous limited sampling models have been so far developed to reduce the number of blood samples. In the present study, the three-, four- and n-compartment closed models have been developed to assess GFR after and during a constant rate intravenous infusion, which include the renal and all possible non-renal elimination pathways. Although more non-renal elimination compartments were included in the modelling, the results show it only leads to the increase in the similar analytical solutions for these compartments and the analytical solution for the blood compartment is the same as that in the two-compartment open model. Theoretically, the developed models can be used to assess GFR with a single blood sample at any sampling time with several urine samples.
authors.affiliation: Department of Clinical Pharmacology, Faculty of Medicine, Russian State Medical University, Moscow 117437, Russia.
authors.forename: G
authors.initials: G
authors.lastname: Wu
mesh_terms: D001825:Body Fluid Compartments; D005919:Glomerular Filtration Rate; D006801:Humans; D007262:Infusions, Intravenous; D007668:Kidney / Q000502:physiology*; D008432:Mathematical Computing; D010599:Pharmacokinetics