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A physicomathematical model of sodium balance

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Abstract

A model is introduced in which the reabsorption of sodium is governed by an enzymatic process. This process is in turn assumed to be influenced by the extracellular volume which depends on the amount of sodium in the body at a given time. The model allows for damped oscillations when the sodium intake lies within range of values and thus can account for observed oscillations.

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Literature

  • Baldwin, D., R. W. Alexander, and E. G. Warner. 1960. “Chronic Sodium Chloride Challenge Studies in Man”.Jour. Lab. & Clin. Med.,55, 362–375.

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  • Baldwin, D., H. D. Landahl, and T. B. Schwartz. 1963. “The Role of Fluctuations of Sodium Balance in the Regulation of Body Sodium Stores”.Metabolism,12,No. 11, 1032–1050.

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Authors and Affiliations

  1. Committee on Mathematical Biology, The University of Chicago, University of Illinois College of Medicine, Chicago

    H. D. Landahl, David Baldwin & Theodore B. Schwartz

  2. Presbyterian-St. Luke's Hospital, Chicago

    H. D. Landahl, David Baldwin & Theodore B. Schwartz

Authors
  1. H. D. Landahl
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  2. David Baldwin
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  3. Theodore B. Schwartz
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Additional information

This investigation was supported by the U.S. Public Health Service (grants 5-K6-GM-18, 420 and A-4668), and by a grant from the Dr. Wallace C. and Clara A. Abbott Memorial Fund of the University of Chicago.

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Landahl, H.D., Baldwin, D. & Schwartz, T.B. A physicomathematical model of sodium balance. Bulletin of Mathematical Biophysics 26, 193–198 (1964). https://doi.org/10.1007/BF02476838

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  • DOI: https://doi.org/10.1007/BF02476838

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