Bulletin of Mathematical Biology

, Volume 39, Issue 6, pp 721–741 | Cite as

A theory of cell swelling in high concentrations of KCl and other chloride salts

  • Gilbert N. Ling
  • Kim Peterson


A theory of the cell volume is presented with emphasis on the swelling effect of high concentrations of KCl and other chloride salts. In this theory a particular cell volume represents a state of balance between the tendency of the cell water to build deeper layers of polarized water and the restraining forces exerted by the salt linkages and H-bonds. Taking into account also the different structure-breaking effects of different salts, theoretical curves can be constructed which describe the complex multiple peak-plateau of swelling curve observed in frog muscle in response to increasing concentrations of different chloride salts.


Chloride Salt Choline Chloride Cell Water Frog Muscle Total Cell Volume 
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  1. Baddiel, C. B., D. Chaudhuri and B. C. Stace. 1971. “The Reaction between Neutral Salts and Fibrous Proteins. I. The Model System Sodium-Poly-l-Glutamate Li, Br, H2O.”Biopolymers,10, 1169–1185.CrossRefGoogle Scholar
  2. Balasubramanian, D. and R. Shaikh. 1973. “On the Interaction of Lithium Salts with Model Amides.”Biopolymers,12, 1639–1650.CrossRefGoogle Scholar
  3. Cope, F. W. 1967. “A Theory of Cell Hydration Governed by Adsorption of Water on Cell Proteins Rather than by Osmotic Pressure.”Bull. Math. Biophys.,29, 583Google Scholar
  4. Dean, R. B. 1941. “Theories of Electrolyte Equilibrium in Muscles.”Biol. Symposia,3, 331–348.Google Scholar
  5. Glynn, I. M. and S. J. D. Karlish. 1975. “The Sodium Pump.”Ann. Rev. Physiol.,37, 13–55.CrossRefGoogle Scholar
  6. Harrington, W. F. and J. A. Schellman. 1957. “The Effect of Concentrated Solutes of Lithium Bromide on the Configurations of Polypeptides and Proteins.”Compt. rend. de Trav. Lab. Carlsberg Ser. Chim.,30, 167.Google Scholar
  7. Katchalsky, A., D. Kunzle and W. Kuhn. 1950. “Behavior of Multivalent Polymeric Ions in Solutions.”J. Polymer. Sci.,5, 283–300.CrossRefGoogle Scholar
  8. Krogh, A. 1946. “Active and Passive Exchanges of Inorganic Ions through the Surfaces of Living Cells and through Living Membranes Generally.”Proc. R. Soc. Ser. B,133, 140–200.CrossRefGoogle Scholar
  9. Ling, G. N. 1952. “The Role of Phosphate in the Maintenance of the Resting Potential and Selective Ionic Accumulation in Frog Muscle Cells.” InPhosphorous Metabolism, Vol. II, Eds W. D. McElroy and B. Glass, pp. 748–795. Baltimore: John Hopkins Univ. Press.Google Scholar
  10. — 1962.A Physical Theory of the Living State: The Association-Induction Hypothesis. Waltham, MA: Blaisdell.Google Scholar
  11. — 1964. “Role of Inductive Effect in Cooperative Phenomena of Proteins.”J. Biopolymers,1, 91–116.Google Scholar
  12. — 1965. “The Physical State of Water in Living Cell and Model Systems.”Ann. N.Y. Acad. Sci.,125, 401–417.Google Scholar
  13. Ling, G. N. 1977a. InNMR and Cancer, Eds F. Cope and R. Damadian, in press.Google Scholar
  14. Ling, G. N. 1977b. InThe Physical State of Aqueous Cytoplasm, Ed. E. Pollard. Marcel Dekker.Google Scholar
  15. — and G. Bohr. 1969. “Studies on Ionic Distribution in Living Cells. I. Long-Term Preservation of Isolated Frog Muscles.”Physiol. Chem. Phys.,1, 591–599.Google Scholar
  16. — and G. Bohr. 1970. “Studies on Ion Distribution in Living Cells. II. Cooperative I teraction between Intracellular K+ and Na+ Ions.”Biophys. J.,10, 519–538.Google Scholar
  17. Ling, G. N. and M. R. Ling (unpublished).Google Scholar
  18. — and W. Negendank 1970. “The Physical State of Water in Frog Muscles.”Physiol. Chem. Phys.,2, 15–33.Google Scholar
  19. — and M. M. Ochsenfeld. 1965. “Studies on the Ionic Permeability of Muscle Cells and Their Models.”Biophys. J.,5, 777–807.CrossRefGoogle Scholar
  20. — and —. 1966. “Studies on Ion Accumulation in Muscle Cells.”J. Gen. Physiol.,49, 819–843.CrossRefGoogle Scholar
  21. — and —. 1973. “Control of Cooperative Adsorption of Solutes and Water in Living Cells by Hormones, Drugs and Metabolic Products.”Ann. N.Y. Acad. Sci.,204, 325–336.Google Scholar
  22. — and C. L. Walton. 1976. “What Retains Water in Living Cells?”Science, N.Y.,191 293–295.Google Scholar
  23. —, M.C. Neville, P. Shannon and S. Will. 1969. “Studies on Insulin Action. I. The Steady Level of Glucose Accumulation in Insulin-Treated Frog Muscles at 0°C.”Physiol. Chem. Phys.,1, 42–67.Google Scholar
  24. Lloyd, D. J. and R. H. Marriott. 1936. “Swelling of Protein Fibers. Part 5. Swelling of Single Collagen Fiber Bundles under Load.”Trans. Farad. Soc.,32, 932–939.CrossRefGoogle Scholar
  25. Pfeffer, W. 1921.Osmotische Untersuchingen, second edition, Leipzig: Englemann.Google Scholar
  26. Procter, H. R. and J. A. Wilson. 1916. “Acid-Gelatin Equilibrium.”J. Chem. Soc.,109, 307–319.Google Scholar
  27. Steinhardt, J., C. H. Fugitt and M. Harris. 1942. “Further Investigations of the Affinities of Anions of Strong Acids for Wool Proteins.”J. Res. Natl. Bureau of Standards,28, 210–216.Google Scholar
  28. Tolman, R. C. and A. E. Stearn. 1918. “Molecular Mechanism of Colloidal Behavior. I. The Swelling of Fibrin in Acids.”J. Am. Chem. Soc.,40, 264–272.CrossRefGoogle Scholar
  29. Tosteson, D. C. 1964. “Regulation of Cell Volume by Sodium and Potassium Transport.” InThe Cellular Function of Membrane Transport, Ed. J. F. Hoffman, pp. 3–22. Englewood Cliffs, New Jersey. Prentice-Hall.Google Scholar
  30. Weupper, J. L. and A. I. Popov. 1970. “Spectroscopic Studies of Alkali Metal Ions in Dimethyl Sulfoxide and 1-Methyl-2-Pyrolidone.”J. Am. Chem. Soc.,92, 1493–1496.CrossRefGoogle Scholar

Copyright information

© Society for Mathematical Biology 1977

Authors and Affiliations

  • Gilbert N. Ling
    • 1
  • Kim Peterson
    • 1
  1. 1.Department of Molecular BiologyPennsylvania HospitalPhiladelphiaUSA

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