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The Renal Countercurrent Mechanism

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Modeling and Simulation in Medicine and the Life Sciences

Part of the book series: Texts in Applied Mathematics ((TAM,volume 10))

Abstract

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.

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Annotated References

  • Sullivan, L. P., and Grantham, J. J.: Physiology of the Kidney (2nd edition). Lea & Febiger, Philadelphia, 1982.

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  • Koushanpour, E. and Kriz, W.: Renal Physiology: Principles, Structure, and Function (2nd edition). Springer-Verlag, New York, NY, 1986.

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  • Layton, H.E.: Distribution of Henle’s loops may enhance urine concentrating ability. Biophys. J. 49; 1033–1040, 1986.

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  • 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.

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  • 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.

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Author information

Authors and Affiliations

  1. Center for Systems Science and Engineering, Arizona State University, 85287-7606, Tempe, AZ, USA

    Frank C. Hoppensteadt

  2. Department of Mathematics Courant Institute of Mathematical Sciences, New York University, 10012, New York, NY, USA

    Charles S. Peskin

Authors
  1. Frank C. Hoppensteadt
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  2. Charles S. Peskin
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© 2002 Springer-Verlag New York, Inc.

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Hoppensteadt, F.C., Peskin, C.S. (2002). The Renal Countercurrent Mechanism. In: Modeling and Simulation in Medicine and the Life Sciences. Texts in Applied Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21571-6_5

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  • DOI: https://doi.org/10.1007/978-0-387-21571-6_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2871-9

  • Online ISBN: 978-0-387-21571-6

  • eBook Packages: Springer Book Archive

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