Evolution of experimental mild and severe chronic renal failure in the rat. Mathematical models

Two degrees of renal insufficiency were obtained in female Wistar rats, one mild (M) and the other severe (S) by surgical resection of 2/3 or 3/4 of one kidney, followed by contralateral nephrectomy. The serum creatinine concentration (Cr) s was evaluated as an index of renal function and followed in the two mentioned groups under a normal protein diet and in "S" also under a low protein diet. The evolution was assessed by two functions of time: 1/(Cr) s and log e (Cr) s. Several differences between M and S were detected. In M a smaller initial and maximal increase in (Cr) s than in S followed by a plateau was observed; in S a decrease in (Cr) s posterior to the initial increase was detected attributed to hyperfiltration followed by a sustained increment. The lowering of protein content in the diet caused a decrement in (Cr) s. In both groups a better adjustment with the logarithmic than with the inverse function was obtained, although poorer in S rats owing to a larger variability. In order to look for a mathematical link between inulin clearance (Cl In) and (Cr) s, the relationship between Cl In vs. 1/(Cr) s, and log e Cl In vs. log e (Cr) s was studied in normal and in rats in renal insufficiency. By regression analysis we found a good adjustment with both functions from 0.58 to 1.60 mg % (Cr) s.