Skip to main content
Log in

The steady-state potassium conductance of the ranvier node at various external K-concentrations

  • Published:
Pflügers Archiv Aims and scope Submit manuscript

Summary

  1. 1.

    Voltage clamp experiments were carried out on single myelinated fibres of the frog to analyse the changes of the potassium conductance (g K ) resulting from variations of the external K-concentration ([K]0). The use ofg K is justified by the observation that instantaneous K-currents vary linearly withE despite asymmetries between [K]0 and [K]i.

  2. 2.

    At constant membrane potential and for inward going currents,g K increases as a Michaëlian function of [K]0. We propose, therefore, that external K-ions bind specific membrane sites controllingg K . The apparent equilibrium constant (K app ) of the binding reaction decreases with depolarization following a double exponential function. The rate constants of this function depend on the external Ca-concentration.

  3. 3.

    An empirical equation is derived which satisfactorily describes the variation ofg K as a function ofE and [K]0. The fact that either the increase in [K]0 or the membrane depolarization can lead to the opening of the channels is regarded as evidence that the binding of K to specific sites (“K-receptors”) is a necessary step for the formation of conducting channels. The affinity of the receptor-sites for K-ions depends on the electrical field in the membrane.

  4. 4.

    K-free Ringer solutions markedly reduce the steady-state K-current and its rate of activation. These effects are not observed if the lack of potassium is compensated by addition of caesium. It is concluded that Cs can replace K at the sites controlling the formation of the channel.

  5. 5.

    High external concentrations of Cs-ions reduce the inward K-currents when [K]0 is high and tend to increase outward K-currents, especially when [K]0 is low. These results are explained assuming that Cs-ions enter the channel with K-ions moving in single file. They stop the in-moving file when reaching a selectivity structure deeply located in the channel.

  6. 6.

    The fraction of the membrane thickness (δ) at which Cs-ions occupy a blocking position in the K-channel, when K and Cs are present at high concentrations in the external medium, is estimated to be: δ=0.6. From this result, it is deduced that the voltagesensitive K-receptors are located in the external half of the membrane.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Armstrong, C. M.: Potassium pores of nerve and muscle membranes. In: Membranes (G. Eisenman, ed.), Vol. 3, pp. 325–357. New York: Marcel Dekker, Inc. 1975

    Google Scholar 

  • Armstrong, C. M., Hille, B.: The inner quaternary ammonium ion receptor in potassium channels of the node of Ranvier. J. Gen. Physiol.59, 388–400 (1972)

    Google Scholar 

  • Begenisich, T., Stevens, C. F.: How many conductance states do potassium channels have? Biophys. J.15, 843–846 (1975)

    Google Scholar 

  • Begenisich, T., De Weer, P.: Evidence for ionic inter-actions in the K-channel of squid axon. Biophys. J.17, 45a (1977)

    Google Scholar 

  • Bergman, C.: Increase of sodium concentration near the inner surface of the nodal membrane. Pflügers Arch.317, 287–302 (1970)

    Google Scholar 

  • Bezanilla, F., Armstrong, C. M.: Negative conductance caused by entry of sodium and cesium ions into the potassium channels of Squid axons. J. Gen. Physiol.60, 588–608 (1972)

    Google Scholar 

  • Brismar, T.: Effects of ionic concentration on permeability properties of nodal membrane in myelinated nerve fibres ofXenopus laevis. Potential clamp experiments. Acta Physiol. Scand.87, 474–484 (1973)

    Google Scholar 

  • Brismar, T., Frankenhaeuser, B.: The effect of calcium on the potassium permeability in the myelinated nerve fibres ofXenopus laevis. Acta Physiol. Scand.85, 237–241 (1972)

    Google Scholar 

  • Carmeliet, E. E.: Chloride and potassium permeability in cardiac Purkinje fibres. Thesis, Faculty of Medicine, University of Louvain. Brussel: Presses Académiques Européennes Edit. 1961

    Google Scholar 

  • Dodge, F. A.: A study of ionic permeability changes underlying excitation in myelinated nerve fibres of the frog. Ph. D. Thesis. The Rockefeller University. University Microfilm no. 64-7333. Michigan: Ann. Arbor 1963

    Google Scholar 

  • Drouin, H., Neumcke, B.: Specific and unspecific charges at the sodium channel of nerve membrane. Pflügers Arch.351, 207–229 (1974)

    Google Scholar 

  • Dubois, J. M., Bergman, C.: Late sodium current in the node of Ranvier. Pflügers Arch.357, 145–148 (1975a)

    Google Scholar 

  • Dubois, J. M., Bergman, C.: Cesium induced rectifications in frog myelinated fibres. Pflügers Arch.355, 361–364 (1975b)

    Google Scholar 

  • Dubois, J. M., Bergman, C.: Potassium accumulation in the perinodal space of frog myelinated axons. Pflügers Arch.358, 111–124 (1975c)

    Google Scholar 

  • Eyring, H., Eyring, E. M.: Modern chemical kinetics. Chap. 4. New York: Reinhold Comp 1963

    Google Scholar 

  • Frankenhaeuser, B.: Instantaneous potassium current in myelinated nerve fibres ofXenopus laevis. J. Physiol. (Lond.)160, 46–53 (1962a)

    Google Scholar 

  • Frankenhaeuser, B.: Potassium permeability in myelinated nerve fibres ofXenopus laevis. J. Physiol. (Lond.)160, 54–61 (1962b)

    Google Scholar 

  • Frankenhaeuser, B., Hodgkin, A. L.: The action of calcium on the electrical porperties of squid axons. J. Physiol. (Lond.)137, 218–244 (1957)

    Google Scholar 

  • Ginsburg, S., Noble, D.: Use of current-voltage diagrams in locating peak energy barriers in cell membranes. J. Membr. Biol.29, 211–230 (1976)

    Google Scholar 

  • Goldman, D. E.: Potential, impedance and rectification in membranes. J. Gen. Physiol.27, 37–60 (1943)

    Google Scholar 

  • Hille, B.: The selective inhibition of delayed potassium currents in nerve by tetraethylammonium ion. J. Gen. Physiol.50, 1287–1302 (1967)

    Google Scholar 

  • Hille, B.: Potassium channels in myelinated nerve: selective permeability to small cations. J. Gen. Physiol.61, 669–686 (1973)

    Google Scholar 

  • Hille, B.: Ionic selectivity of Na and K channels of nerve membranes. In: Membranes (G. Eisenman, ed.) Vol. 3, pp. 256–323. New York: Marcel Dekker, Inc. 1975

    Google Scholar 

  • Hodgkin, A. L., Katz, B.: The effect of sodium ions on the electrical activity of the giant axon of the Squid. J. Physiol. (Lond.)108, 37–77 (1949)

    Google Scholar 

  • Hodgkin, A. L., Keynes, R. D.: The potassium permeability of a giant nerve fibre. J. Physiol. (Lond.)128, 61–88 (1955)

    Google Scholar 

  • Keynes, R. D.: The nervous system (D. B. Tower, ed.) Vol. 1, pp. 165–175. New York: Raven Press 1975

    Google Scholar 

  • Meves, H.: The effect of holding potential on the asymmetry currents in squid giant axons. J. Physiol. (Lond.)243, 847–867 (1974)

    Google Scholar 

  • Mozhayeva, G. N., Naumov, A. P.: Effect of surface charge on the steady-state potassium conductance of nodal membrane. Nature (Lond.)228, 164–165 (1970)

    Google Scholar 

  • Nonner, W.: A new voltage clamp method for Ranvier nodes. Pflügers Arch.309, 176–192 (1969)

    Google Scholar 

  • Woodhull, A. M.: Ionic blockage of sodium channels in nerve. J. Gen. Physiol.61, 687–708 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by grants of the C.N.R.S. and D.G.R.S.T

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dubois, J.M., Bergman, C. The steady-state potassium conductance of the ranvier node at various external K-concentrations. Pflugers Arch. 370, 185–194 (1977). https://doi.org/10.1007/BF00581693

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00581693

Key words

Navigation