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A Physiological Model for the Renal Excretion of Labeled Compounds^*

Melvin H. Farmelant, Charles E. Sachs, Sebastian Genna and Belton A. Burrows

University Hospital, Boston Veterans Administration Hospital and Boston University School of Medicine, Boston University Medical Center, Boston, Massachusetts

Correspondence: For reprints contact : Melvin H. Farmelant, St. Vincent Hospital, 25 Winthrop St., Worcester, Mass. 01610.

ABSTRACT

Following ¹³¹I-hippuran injection, renal curves, urine concentration and bladder radioactivity curves were related to arterial blood concentration curves. Renal uptake, until emptying begins, and bladder accumulation closely approximate the integral of arterial blood concentration. The difference between the integral of blood concentration (renal uptake) and bladder (integrated renal losses) approximates the net kidney curve after loss from the kidney begins. Likewise, the difference between renal radioactivity and the integral of blood concentration yields the original integral curve of arterial blood concentration. The curve from a nonobstructed kidney with adequate urine flow can be expressed as the integral of blood concentration minus the same integral displaced in time (time of passage of radioisotope through the kidney). We can conclude that with adequate urine flow rates the rate of fall as well as the rate of rise of the kidney curve reflects the rate of fall in arterial blood concentration; moreover, the passage of radioisotope through renal tubule and pelvis involves little mixing. Differences between the kidneys in retention of radioisotope reflect both differences in passage time and often marked unilateral reduction of urine flow rate.

FOOTNOTES

^* Presented in part at the 16th Annual Meeting of The Society of Nuclear Medicine, St. Louis, Mo., June 1968 and in abstract form (1,2).

Present address: Hôspital Neckar, Paris, France.