Analysis of PCO2 variations in the renal cortex. I. Single nephron.

A mathematical model was developed to predict differences in CO2 partial pressure between afferent arterioles and peritubular capillaries, based on the flow rate and composition of afferent arteriolar blood. Buffering reactions in blood were described by use of conditions of chemical equilibrium and electroneutrality in separate plasma and red cell compartments, with inclusion of such factors as the effect of hemoglobin oxygenation (alkaline Bohr effect) and formation of carbamino compounds. Steady-state mass balance equations allowed the prediction of peritubular capillary blood composition based on the inputs of blood from the efferent arteriole and the addition of water, CO2, NaHCO3, and NaCl derived from tubule reabsorbate. Models developed previously to describe the rates of glomerular filtration, and of proximal tubule reabsorption of HCO3- and CO2, were combined with the peritubular capillary model to allow realistic simulations for a single superficial nephron. The predicted difference of 5.5 mmHg between the CO2 partial pressures in peritubular capillaries and afferent arterioles (delta PCO2) was in good agreement with values reported for normal Munich-Wistar rats. For a given afferent arteriolar blood composition, the calculated delta PCO2 generally decreased with increasing blood flow rate. At a given blood flow rate and afferent PCO2, delta PCO2 decreased as afferent plasma HCO3- concentration was increased. When afferent PCO2 was varied at constant blood flow rate and HCO3- concentration, delta PCO2 changed in parallel with afferent PCO2.