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Mathematical biosciences · Oct 2005
Role of structural organization in the urine concentrating mechanism of an avian kidney.
- Anita T Layton.
- Department of Mathematics, Duke University, P.O. Box 90320, Durham, NC 27708, USA. alayton@math.duke.edu
- Math Biosci. 2005 Oct 1; 197 (2): 211-30.
AbstractThe organization of tubules and blood vessels in the quail medullary cone is highly structured. This structural organization may result in preferential interactions among tubules and vessels, interactions that may enhance urine concentrating capability. In this study, we formulate a model framework for the urine concentrating mechanism of the quail kidney. The model simulates preferential interactions among renal tubules by representing two concentric cores and by specifying the fractions of tubules assigned to each of the concentric cores. The model equations are based on standard expressions for transmural transport and on solute and water conservation. Model results suggest that the preferential interactions among tubules enhance the urine concentration capacity of short medullary cones by reducing the diluting effect of the descending limbs on the region of the interstitium where the collecting ducts are located; however, the effects on longer cones are unclear.
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