A theoretical note on exponential flow in the proximal part of the mammalian nephron |
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Authors: | R B Kelman |
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Institution: | (1) Advanced Systems Research, Remington Rand Univac, 2121 Wisconsin Ave., N. W., Washington 7, D. C., USA;(2) Department of Mathematics, Howard University, USA |
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Abstract: | On the basis of the experiments of A. M. Walkeret al. (Am. J. Physiol.,134, 580–595, 1941), it is postulated that the fraction of glomerular filtrate reabsorbed up to a given point in the proximal
tubule is independent of the rate of filtration. This, combined with the assumption that the proximal tubule is uniform from
glomerular to distal end, implies that the volume of flow per unit of time past a given point in the proximal tubule decreases
exponentially as a function of distance from the glomerulus. From this it is deduced that the rate of reabsorption of Na+ is proportional to the rate of formation of glomerular filtrate—a result established in clearance experiments. The analogy
between a nephron and a catalytic flow reactor is indicated, and it is noted that, in both systems, reaction velocity can
depend on the rate of flow. |
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