Improved Nephron Model for Pressure-Diuresis and Pressure-Natriuresis

The complexity of the kidney is that mathematical models of renal function depend on the experimental measurements from in-vivo and in-vitro. Earlier models of the nephron use the simple mathematical model that was unable to clearly capture the pressure-diuresis and pressure-natriuresis functionality. In this paper, a mathematical model of nephron has been developed with isoporous glomerulus model for better understanding of the functionality of the nephron for Salt-Sensitive rat(high-salt and low-salt) and Salt-Resistant. Renal blood flow, glomerular filtration, pressure-diuresis and pressure-natriuresis relationships have been explained clearly based on predicted modelling data from the mathematical model of the nephron. The predicted data is compared with the experimental data. The water and sodium excretion are well controlled within the normal limits in the improved isoporous glomerulus nephron model. The predicted data of regulated water and sodium excretion are well fitted with the data collected from experimental studies of the Dahl salt sensitive (low salt and high salt) rat and Dahl salt resistive rat based on calculation of the mean square error for glomerulur filtration, urine output and sodium excretion.