Cycles and separations in a model of the renal medulla

American Journal of Physiology - Renal Physiology

Volumn 275, Issue 5 44-5, 1998, Pages

  Thomas, S Randall ^a  

^a INSERM   (France)

Author keywords

Mathematical model; Salt and urea recycling; Urine concentrating mechanism

Indexed keywords

SODIUM CHLORIDE; UREA; WATER;

ANIMAL TISSUE; ANTIDIURESIS; ARTICLE; FUNCTIONAL ANATOMY; KIDNEY CONCENTRATING CAPACITY; KIDNEY MEDULLA; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONHUMAN; OSMOLALITY; OSMOTIC PRESSURE; PRIORITY JOURNAL; QUANTITATIVE ASSAY; RAT; STEADY STATE; UREA CYCLE;

EID: 0031731240     PISSN: 1931857X     EISSN: 15221466     Source Type: Journal    
DOI: 10.1152/ajprenal.1998.275.5.f671     Document Type: Article

References (45)

1. Armsen, T., and H. W. Reinhardt. Transtubular movement of urea at different degrees of water diuresis. Pflügers Arch. 326: 270-280, 1971.
2. Bankir, L., N. Bouby, and M.-M. Trinh-Trang-Tan. The role of the kidney in the maintenance of water balance. Baillière's Clin. Endocr. Metab. 3: 249-311, 1989.
3. Bankir, L., and C. de Rouffignac. Urinary concentrating ability: insights from comparative anatomy. Am. J. Physiol. 249 (Regulatory Integrative Comp. Physiol. 18): R643-R666, 1985.
4. Bonventre, J. V., and C. Lechene. Renal medullary concentrating process: an integrative hypothesis. Am. J. Physiol. 239 (Renal Fluid Electrolyte Physiol. 8): F578-F588, 1980.
5. Diezi, J., P. Michoud, J. Aceves, and G. Giebisch. Micropuncture study of electrolyte transport across papillary collecting duct of the rat. Am. J. Physiol. 224: 623-634, 1973.
6. Elalouf, J. M., D. Chabane Sari, N. Roinel, and C. de Rouffignac. NaCl and Ca delivery at the bend of rat deep nephrons decreases during antidiuresis. Am. J. Physiol. 252 (Renal Fluid Electrolyte Physiol. 21): F1055-F1064, 1987.
7. Gillin, A. G., and J. M. Sands. Characteristics of osmolarity-stimulated urea transport in rat IMCD. Am. J. Physiol. 262 (Renal Fluid Electrolyte Physiol. 31): F1061-F1067, 1992.
8. Gottschalk, C. W., and M. Mylle. Micropuncture study of the mammalian urinary concentrating mechanism: evidence for the countercurrent hypothesis. Am. J. Physiol. 196: 927-936, 1959.
9. Gottschalk, C. W., W. E. Lassiter, M. Mylle, K. J. Ullrich, B. Schmidt-Nielsen, R. O'Dell, and G. Pehling. Micropuncture study of composition of loop of Henle fluid in desert rodents. Am. J. Physiol. 204: 532-535, 1963.
10. Han, J. S., K. A. Thompson, C. L. Chou, and M. A. Knepper. Experimental tests of three-dimensional model of urinary concentrating mechanism. J. Am. Soc. Nephrol. 2: 1677-1688, 1992.
11. Jamison, R. L. Micropuncture study of superficial and juxtamedullary nephrons in the rat. Am. J. Physiol. 218: 46-55, 1970.
12. Jamison, R. L., J. Buerkert, and F. Lacy. A micropuncture study of Henle's thin loop in Brattleboro rats. Am. J. Physiol. 224: 180-185, 1973.
13. Jamison, R. L., and C. R. Robertson. Recent formulations of the urinary concentrating mechanism: a status report. Kidney Int. 16: 537-545, 1979.
14. Jen, J. F., and J. L. Stephenson. Externally driven countercurrent multiplication in a mathematical model of the urinary concentrating mechanism of the renal inner medulla. Bull. Math. Biol. 56: 491-514, 1994.
15. Knepper, M. A. Urea transport in isolated thick ascending limbs and collecting ducts from rats. Am. J. Physiol. 245 (Renal Fluid Electrolyte Physiol. 14): F634-F639, 1983.
16. Knepper, M. A., R. A. Danielson, G. M. Saidel, and R. S. Post. Quantitative analysis of renal medullary anatomy in rats and rabbits. Kidney Int. 12: 313-323, 1997.
17. Kokko, J. P., and F. C. Rector. Countercurrent multiplication system without active transport in inner medulla. Kidney Int. 2: 214-223, 1972.
18. Kriz, W. Structural organization of the renal medulla: comparative and functional aspects. Am. J. Physiol. 241 (Regulatory Integrative Comp. Physiol. 10): R3-R16, 1981.
19. Lankford, S. P., C. L. Chou, Y. Terada, S. M. Wall, J. B. Wade, and M. A. Knepper. Regulation of collecting duct water permeability independent of cAMP-mediated AVP response. Am. J. Physiol. 261 (Renal Fluid Electrolyte Physiol. 30): F554-F566, 1991.
20. Lassiter, W. E., C. W. Gottschalk, and M. Mylle. Micropuncture study of net transtubular movement of water and urea in nondiuretic mammalian kidney. Am. J. Physiol. 200: 1139-1146, 1961.
21. Layton, H. E., M. A. Knepper, and C. L. Chou. Permeability criteria for effective function of passive countercurrent multiplier. Am. J. Physiol. 270 (Renal Fluid Electrolyte Physiol. 39): F9-20, 1996.
22. Lemley, K. V., and W. Kriz. Cycles and separations: the histotopography of the urinary concentrating process. Kidney Int. 31: 538-548, 1987.
23. Marsh, D. J., and C. M. Martin. Lack of water or urea movement from pelvic urine to papilla in hydropenic hamsters. Miner. Electrolyte Metab. 3: 81-86, 1980.
24. Nielsen, S., T. L. Pallone, B. L. Smith, E. I. Christensen, P. Agre, and A. B. Maunsbach. Aquaporin-1 water channels in short and long loop descending thin limbs and in descending vasa recta in rat kidney. Am. J. Physiol. 268 (Renal Fluid Electrolyte Physiol. 37): F1023-F1037, 1995.
25. Nielsen, S., J. Terris, C. P. Smith, M. A. Hediger, C. A. Ecelbarger, and M. A. Knepper. Cellular and subcellular localization of the vasopressin-regulated urea transporter in rat kidney. Proc. Natl. Acad. Sci. USA 93: 5495-5500, 1996.
26. Pallone, T. L., S. Nielsen, E. P. Silldorff, and S. Yang. Diffusive transport of solute in the rat medullary microcirculation. Am. J. Physiol. 269 (Renal Fluid Electrolyte Physiol. 38): F55-F63, 1995.
27. Promeneur, D., G. Rousselet, L. Bankir, P. Bailly, J. P. Cartron, P. Ripoche, and M. M. Trinh-Trang-Tan. Evidence for distinct vascular and tubular urea transporters in the rat kidney. J. Am. Soc. Nephrol. 7: 852-860, 1996.
28. Ripoche, P., and G. Rousselet. Urea transporters. Nephrologie 17: 383-388, 1996.
29. Rivers, R. L., A. Blanchard, D. Eladari, F. Leviel, M. Paillard, R. Podevin, and M. L. Zeidel. Unit permeabilities of medullary thick ascending limb (mTAL) apical (AP) and basolateral (BL) membranes are similar (Abstract) J. Am. Soc. Nephrol. 8: 24, 1997.
30. de Rouffignac, C. The urinary concentrating mechanism. In: Urinary Concentrating Mechanisms, edited by R. K. H. Kinne, Basel: Karger, 1990, p. 31-102.
31. Sands, J. M., M. Naruse, J. D. Jacobs, J. N. Wilcox, and J. D. Klein. Changes in aquaporin-2 protein contribute to the urine concentrating defect in rats fed a low-protein diet. J. Clin. Invest. 97: 2807-2814, 1996.
32. Sands, J. M., and D. C. Schrader. An independent effect of osmolality on urea transport in rat terminal inner medullary collecting ducts. J. Clin. Invest. 88: 137-142, 1991.
33. Shayakul, C., M. A. Knepper, C. P. Smith, S. R. Digiovanni, and M. A. Hediger. Segmental localization of urea transporter mRNAS in rat kidney. Am. J. Physiol. 270 (Renal Fluid Electrolyte Physiol. 41): F654-F660, 1997.
34. Sonnenberg, H. Medullary collecting duct function in antidiuretic and in salt- or water-diuretic rats. Am. J. Physiol. 226: 501-506, 1974.
35. Stephenson, J. Concentration of urine in a central core model of the renal counterflow system. Kidney Int. 2: 85-94, 1972.
36. Stephenson, J. L. Urinary concentration and dilution: models. In: Handbook of Physiology. Renal Physiology, Bethesda, MD: Am. Physiol. Soc., 1992, sect. 8, vol. II, chapt. 30, p. 1349.
37. Stephenson, J. L., J. F. Jen, H. Wang, and R. P. Twearson. Convective uphill transport of NaCl from ascending thin limb of loop of Henle. Am. J. Physiol. 268 (Renal Fluid Electrolyte Physiol. 37): F680-F692, 1995.
38. Thomas, S. R., and A. S. Wexler. Inner medullary external osmotic driving force in a 3-D model of the renal concentrating mechanism. Am. J. Physiol. 269 (Renal Fluid Electrolyte Physiol. 38): F159-F171, 1995.
39. Ullrich, K. J. Function of the collecting ducts. Circulation 21: 869-878, 1960.
40. Wang, H., R. P. Tewarson, J. F. Jen, and J. L. Stephenson. A comparison of multinephron and shunt models of the renal concentrating mechanism. Appl. Math. Lett. 6: 61-65, 1993.
41. Wang, X., S. R. Thomas, and A. S. Wexler. Outer medullary anatomy and the urine concentrating mechanism. Am. J. Physiol. 274 (Renal Physiol. 43): F413-F424, 1998.
42. Wang, X., and A. S. Wexler. The effects of collecting duct active NaCl reabsorption and inner medullar anatomy on renal concentrating mechanism. Am. J. Physiol. 270 (Renal Fluid Electrolyte Physiol. 39): F900-F911, 1996.
43. Wexler, A. S., R. E. Kalaba, and D. J. Marsh. Passive, one-dimensional countercurrent models do not simulate hypertonic urine formation. Am. J. Physiol. 253 (Renal Fluid Electrolyte Physiol. 22): F1020-F1030, 1987.
44. Wexler, A. S., R. E. Kalaba, and D. J. Marsh. Three-dimensional anatomy and renal concentrating mechanism. I. Modeling results. Am. J. Physiol. 260 (Renal Fluid Electrolyte Physiol. 29): F368-F383, 1991.
45. Wirz, H. K. Lokalisation des Konzentrierungsprozesses in der Niere durch direkte Kryoskopie. Helv. Physiol. Acta 9: 1996-207, 1951.