Abstract
A mathematical model of the kidney cortex based upon the conservation principles and on the theory of non-equilibrium thermodynamics has been developed. This multi-compartment, multi-component model has been used to describe variations in composition and flow rate in the proximal and distal convoluted tubules and capillaries of the cortex of a typical canine kidney. The simultaneous transport of salt, urea and water has been described under several normal and diuretic conditions, including mannitol diuresis. The simulated mass and volume flows in the tubules were found to be in agreement with experimental data. For example, the model describes isotonic water reabsorption from the proximal tubule in the normal animal and glomerular tubular balance. Values for tubule permeabilities determined from the model parameters were found to be in agreement with published experimental values. In addition we are able to predict kidney performance under a number of diuretic conditions which have not been experimentally verified.
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