The Renal Countercurrent Mechanism

  • Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)


The function of the kidney is to regulate the composition of the blood plasma. The plasma is the part of the blood that remains when the cells have been removed. We shall consider only the regulation of the Na+ content of the blood plasma, but the reader should keep in mind that the kidney is actually regulating the concentrations of many other substances at the same time.


Blood Plasma Proximal Tubule Distal Tubule Distal Convoluted Tubule Proximal Convoluted Tubule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Annotated References

  1. Sullivan, L. P., and Grantham, J. J.: Physiology of the Kidney (2nd edition). Lea & Febiger, Philadelphia, 1982.Google Scholar
  2. Koushanpour, E. and Kriz, W.: Renal Physiology: Principles, Structure, and Function (2nd edition). Springer-Verlag, New York, NY, 1986.Google Scholar
  3. Thurau, K. and Mason, J.: Intrarenal function of the juxtaglomerular apparatus. In: Kidney and Urinary Tract Physiology (Thurau, K., ed.). M.T.P. International Review of Science, Physiology Series 1, Volume 6. University Park Press, Baltimore, MD, 1974, 357–390.Google Scholar
  4. Layton, H.E.: Distribution of Henle’s loops may enhance urine concentrating ability. Biophys. J. 49; 1033–1040, 1986.CrossRefGoogle Scholar
  5. Knepper, M.A., and Rector, F.C., Jr.: Urinary concentration and dilution. In: The Kidney (4th edition) Volume 1, (Brenner, B.M. and Rector, F.C., Jr., eds.) Harcourt Brace Jovanovich, Philadelphia, PA, 1991, 445–482.Google Scholar
  6. Roy, D.R., Layton, H.E., and Jamison, R.L.: Countercurrent mechanism and its regulation. In: The Kidney: Physiology and Pathophysiology (3rd edition) (Seldin, D.W. and Giebish, G., eds.) Lippincott Williams & Wilkins, 2000.Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.Center for Systems Science and EngineeringArizona State UniversityTempeUSA
  2. 2.Department of Mathematics Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

Personalised recommendations