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Am J Physiol Renal Physiol 279: F334-F344, 2000;
0363-6127/00 $5.00
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Vol. 279, Issue 2, F334-F344, August 2000

Modeling exchange of plasma proteins between microcirculation and interstitium of the renal medulla

W. Wang1 and C. C. Michel2

1 Medical Engineering Division, Department of Engineering, Queen Mary and Westfield College, London E1 4NS; and 2 Cellular and Integrative Biology, Division of Biomedical Sciences, Imperial College School of Medicine, London SW7 2AZ, United Kingdom

In the absence of evidence for lymphatics in the inner medulla of the kidney, it has been proposed that plasma proteins are cleared by convection out of the medullary interstitial fluid (ISF) directly into the ascending vasa recta (AVR). To clarify this hypothesis we have developed a mathematical model of the microvascular exchange of fluid, plasma proteins, and small solutes among the descending vasa recta (DVR), the AVR, and the ISF. The model represents the DVR and AVR as limbs of a countercurrent exchange loop separated and surrounded by the ISF. Steady-state exchange of fluid and solute are considered by using conservation and exchange equations. We have used values for parameters based on experimental measurements and investigated the effects of the properties of the vasa recta, the flow, and the gradient of small solutes on the distribution of plasma proteins. Results from the model agree reasonably well with experimental measurements, suggesting that convection may account for the clearance of plasma proteins from the renal medulla maintaining their concentration below that of the AVR.

countercurrent exchange; theoretical model; convection


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