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Volume flows and pressure changes during an action potential in cells ofChara australis

II. Theoretical considerations

Summary

It has been suggested that electro-kinetic coupling may be involved in the mechanism of the action potential and that there should therefore be both consequent volume flows and pressure changes associated with such excitation. In a previous paper, such measurements were reported in cells ofChara australis, from which it is also known that during excitation there is an increase in KCl permeability and an efflux of KCl. In this paper, a number of theoretical analyses have been considered and developed pertaining to such measurements and the time-dependent relationships between apparent measured volume flows, true volume flows and turgor pressure changes in cells in various experimental situations. Such volume flows are quantitatively explained primarily from the frictional coupling of water by both K+ and Cl ions and to a lesser extent by the local osmotic flow owing to KCl enhancement at the wall-membrane interface of the cell. The measured pressure changes of 12×10−3 to 28×10−3 atm during excitation are also correctly predicted as the result of such a volume outflow from the cell which behaves as a hydraulically leaky elastic cylinder and thereby drops in pressure. These conclusions then indicate that the volume flows and pressure changes measured are the incidental consequences of a change in membrane permeability and do not necessarily imply any electro-kinetic mechanism for the action potential itself.

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References

  1. Allen, R. D. 1969. Mechanism of the seismonastic reaction inMimosa pudica.Plant Physiol. 44:1101.

  2. Barry, P. H. 1967. Investigation of the movement of water and ions in plant cell membranes. Ph. D. Thesis, University of Sydney, Sydney, Australia.

  3. — 1970. Volume flows and pressure changes during an action potential in cells ofChara Australis. I. Experimental results.J. Membrane Biol. 3:313.

  4. —, Hope, A. B. 1969a. Electro-osmosis in membranes: Effects of unstirred layers and transport numbers. Part I. Theory.Biophys. J. 9:700.

  5. —— 1969b. Electro-osmosis in membranes: Effects of unstirred layers and transport numbers. Part II. Experimental.Biophys. J. 9:729.

  6. —— 1969c. Electro-osmosis inChara andNitella cells.Biochim. Biophys. Acta 193:124.

  7. Carslaw, H. S., Jaeger, J. C. 1959. Conduction of Heat in Solids. The Clarendon Press, Oxford.

  8. Comrie, L. J. 1955. Chamber's Shorter Six-Figure Mathematical Tables. W. & R. Chambers Ltd., London.

  9. Courant, R. 1937. Differential and Integral Calculus, Vol. I. Blackie and Sons, Ltd., London and Glasgow.

  10. Dainty, J., Ginzburg, B. Z. 1964. The measurement of hydraulic conductivity (osmotic permeability to water) of internodalCharacean cells by means of transcellular osmosis.Biochim. Biophys. Acta 79:102–111.

  11. Fensom, D. S. 1966. Action potentials and associated waterflows in livingNitella.Canad. J. Botany 44:1432.

  12. Gaffey, C. T., Mullins, L. J. 1958. Ion fluxes during the action potential inChara.J. Physiol. 144:505.

  13. Hope, A. B., Findlay, G. P. 1964. The action potential inChara.Plant Cell. Physiol. 5:377.

  14. Jaeger, J. C. 1961. An Introduction to the Laplace Transformation. Methuen and Co. Ltd., London.

  15. Kamiya, N., Tazawa, M. 1956. Studies on the water permeability of a single plant cell by means of transcellular osmosis.Protoplasma 46:394.

  16. ——, Takata, T. 1963. The relation of turgor pressure to cell volume inNitella with special reference to the mechanical properties of the cell wall.Protoplasma 57:501.

  17. Katchalsky, A., Kedem, O. 1962. Thermodynamics of flow processes in Biological systems.Biophys. J. 2:53.

  18. Kedem, O., Katchalsky, A. 1958. Thermodynamic analysis of the permeability of biological membranes to non-electrolytes.Biochim. Biophys. Acta 27:229.

  19. Kelly, R. B., Kohn, P. G., Dainty, J. 1963. Water relations ofNitella translucens.Trans. Botan. Soc. 39:373.

  20. Kishimoto, U., Ohkawa, T. 1966. Shortening ofNitella internode during excitation.Plant Cell Physiol. 7:493.

  21. Kobatake, Y., Fujita, O. 1964a. Flows through charged membranes. I. Flip-flop current vs. voltage relation.J. Chem. Phys. 40:2212.

  22. —— 1964b. Flows through charged membranes. II. Oscillation phenomena.J. Chem. Phys. 40:2219.

  23. McLachlan, N. W. 1953. Complex Variable Theory and Transform Calculus. Cambridge University Press, Cambridge.

  24. — 1955. Bessel Functions for Engineers. The Clarendon Press, Oxford.

  25. Mailman, D. S., Mullins, L. J. 1966. The electrical measurement of chloride fluxes inNitella.Aust. J. Biol. Sci. 19:385.

  26. Phillips, E. G. 1957. Functions of a Complex Variable. Oliver and Boyd, Edinburgh and London.

  27. Tazawa, M., Kamiya, N. 1965. Water relations ofCharacean internodal cell. Ann. Report of Biol. Works. Faculty of Science, Osaka University13:123.

  28. —— 1966. Water permeability ofCharacean internodal cell with special reference to its polarity.Aust. J. Biol. Sci. 19:399.

  29. Teorell, T. 1958. Transport processes in membranes in relation to the nerve mechanism.Exp. Cell Res. 5:83.

  30. — 1959a. Electrokinetic membrane processes in relation to properties of excitable tissues. I. Experiments on oscillatory transport phenomena in artificial membranes.J. Gen. Physiol. 42:831.

  31. — 1959b. Electrokinetic membrane processes in relation to properties of excitable tissues. II. Some theoretical considerations.J. Gen. Physiol. 42:847.

  32. — 1961. An analysis of the current-voltage relationships in excitableNitella cells.Acta Physiol. Scand. 53:1.

  33. — 1962. Excitability phenomena in artificial membranes.Biophys. J. 2:27.

  34. — 1966. Electrokinetic considerations of mechanoelectric transduction.Ann. N.Y. Acad. Sci. 137:950.

  35. Watson, G. N. 1944. Theory of Bessel Functions. Cambridge University Press, Cambridge, England.

  36. Wirth, H. E. 1937. The partial molal volumes of potassium chloride, potassium bromide and potassium sulfate in sodium chloride solutions.J. Amer. Chem. Soc. 59:2549.

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Barry, P.H. Volume flows and pressure changes during an action potential in cells ofChara australis . J. Membrain Biol. 3, 335–371 (1970). https://doi.org/10.1007/BF01868023

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Keywords

  • Human Physiology
  • Theoretical Analysis
  • Membrane Permeability
  • Pressure Change
  • Volume Flow