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1 Department of Chemical Engineering, Tufts University, Medford, Massachusetts 02155; 2 Department of Chemical Engineering, Pennsylvania State University, University Park, Pennsylvania 16802; and 3 Division of Nephrology, University of Maryland School of Medicine, Baltimore, Maryland 21201
A recent model of volume and solute microvascular exchange in the renal medulla was extended by simulating the deposition of NaCl, urea, and water into the medullary interstitium from the loops of Henle and collecting ducts with generation rates that undergo spatial variation within the inner medullary interstitium. To build an exponential osmolality gradient in the inner medulla, as suggested by Koepsell et al. (H. Koepsell, W. E. A. P. Nicholson, W. Kriz, and H. J. Höhling. Pflügers Arch. 350: 167-184, 1974), the ratio of the interstitial area-weighted generation rate of small solutes to that of water must increase along the corticomedullary axis. We satisfied this condition either by holding the area-weighted generation rate of water constant while increasing that of NaCl and urea or by reducing the input rate of water with medullary depth. The latter case, in particular, yielded higher solute concentrations at the papillary tip. Assuming that the fraction of the filtered load recovered by inner medullary vasa recta for water, NaCl, and urea is 1%, 1%, and 40%, respectively, papillary tip osmolality is 1,470 mosmol/kgH2O when urea generation and NaCl generation per unit volume of interstitium increase exponentially and linearly, respectively. The inner medullary osmolar gradient also increases further when 1) medullary blood flow is reduced, 2) hydraulic conductivity of descending vasa recta (DVR) is lowered, and 3) vasa recta permeability to NaCl and urea is maximized. The coupling between water and small solute transport, resulting from aquaporin-1-mediated transcellular flux in DVR, also enhances tip osmolality.
kidney; microcirculation; vascular transport; sodium; urea; mathematical model; urinary concentration.
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