Theoretical Considerations Concerning Mathematical Models of Radioisotope Renography

Abstract

SummaryA mathematical analysis of theoretical models of the radiohippuran renogram is presented. The preliminary considerations are based on a hydrodynamic model and a diffusion model. On the basis of the model assumptions the functions describing radioactivity of the blood, kidneys and urinary bladder are derived. It is demonstrated that by comparing theoretical curves with experimental ones the parameters characterizing some phenomena of hippuran kinetics may be estimated. These parameters are: the clearance of the tracer from the blood, the out-flow of the urine from the kidneys to the urinary bladder, the extravascular diffusion of the tracer and the functional asymmetry of the kidneys.