Skip to main content
Log in

A Stochastic Model of Conductance Transitions in Voltage-Gated IonChannels

  • Published:
Journal of Biological Physics Aims and scope Submit manuscript

Abstract

We present a statistical physics model to describe the stochastic behaviorof ion transport and channel transitions under an applied membrane voltage.To get pertinent ideas we apply our general theoretical scheme to ananalytically tractable model of the channel with a deep binding site whichinteracts with the permeant ions electrostatically. It is found that theinteraction is modulated by the average ionic occupancy in the bindingsite, which is enhanced by the membrane voltage increases. Above acritical voltage, the interaction gives rise to a emergence of a newconducting state along with shift of S4 charge residues in the channel.This exploratory study calls for further investigations to correlate thecomplex transition behaviors with a variety of ion channels, withparameters in the model, potential energy parameters, voltage, and ionicconcentration.

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

  1. Alberts, B., Bray, D., Lewis, J., Raff, M., Roberts, K. and Watson, J.D.: Molecular Biology of the Cell, 3rd ed., Garland Publishing, New York, 1994.

    Google Scholar 

  2. Unwin, N.: The structure of ion channels in membranes of excitable cells, Neuron 3 (1989), 665–676.

    Google Scholar 

  3. Chancey, C.C. and George, S.A.: Physical model of voltage sensing in sodium channels based on the sliding helix complex, Phys.Rev. E 53 (1996), 5137–5145.

    Google Scholar 

  4. Mannuzzu, L.M., Moronne, M.M. and Isacoff, E.Y.: Direct physical measure of conformational rearrangement underlying potassium channel gating, Science 271 (1996), 213–216.

    Google Scholar 

  5. Larsson, H.P., Baker, O.S., Dhillon, D.S. and Isacoff, E.Y.: Transmembrane movement of the Shaker K+ channel S4, Neuron 16 (1996), 387–397.

    Google Scholar 

  6. Levitt, D.G.: Interpretation of biological flux data: reaction-rate theory versus continuum theory, Ann. Rev. Biophys. Biophys. Chem. 15 (1986), 29–57.

    Google Scholar 

  7. Honig, B.H., Hubbel, W.L. and Flewelling, R.F.: Electrostatic Interations in Membranes and Proteins, Ann. Rev. Biophys. Biophys. Chem. 15 (1986), 163–193.

    Google Scholar 

  8. Hille, B.: Ionic Channels of Excitable Membranes, 2nd ed., Sinauer, Massachusetts, 1992.

    Google Scholar 

  9. White, P.J., Smahel, M. and Thiel, G.: Characterization of ion channels from Acetabularia plasma membrane in planar lipid bilayers, J. Membrane Biol. 133 (1993), 145–160.

    Google Scholar 

  10. Haken, H.: Synergetics, 3rd ed., Springer-Verlag, Berlin, 1983.

    Google Scholar 

  11. Chinarov, V.A., Gaididei, Y.B., Kharkyanen, V.N. and Sit'ko, S.P.: Ion pores in biological membranes as self-organized bistable systems, Phys. Rev. A 46 (1992), 5232–5241.

    Google Scholar 

  12. Kharkyanen, V.N., Panchouk, A.S. and Weinreb, G.E.: Self-organization effects induced by ion-conformational interaction in biomembrane channels, J. Biol. Phys. 19, 259–272.

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, K., Sung, W. A Stochastic Model of Conductance Transitions in Voltage-Gated IonChannels. Journal of Biological Physics 28, 279–288 (2002). https://doi.org/10.1023/A:1019987816498

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1019987816498

Navigation