Skip to main content

Single-Channel Conductances and Models of Transport

  • Chapter
The Biophysical Approach to Excitable Systems

Abstract

Kacy Cole once said that the specific membrane capacitance is the nearest thing in biology to a physical constant. I always took that to mean that the ubiquitous 1 µf/cm2 membrane capacitance values show that cell membranes everywhere are made of thin sheets of low-dielectric-constant material. Since a uniform low-dielectric barrier would make ion permeation much too difficult, the large conductance increases which occur during excitation are most easily explained by the activation of sparsely distributed highly conductive ion channels. One of the advances of the last few years is that we can now measure the conductance of these elementary ionic channels. I would like to first review how the unit channel conductance can be determined from electrical noise measurement and then discuss how one can directly observe the activation of individual channels. At present, we see that ion-selective channels form a special class of interesting membrane proteins. There are various kinds of channel structure-not only the variety of gated channels which are switched on by various stimuli during excitation, but also cytolytic channels in various immune and attack systems, channels connecting adjacent epithelial cells at gap junctions, and probably others. The unit channel conductances form a new set of physical parameters for membrane transport which, like the capacitance, give us a bit of the picture of the membrane as a physical structure.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bean, R. C., Shepherd, W. C., Chan, H., and Eichner, J. T. (1969). Discrete conductance fluctuations in lipid bilayer protein membranes, J. Gen. Physiol. 53, 741–747.

    Article  Google Scholar 

  • Cole, K. S. (1968a). Membranes, Ions and Impulses (University of California Press, Berkeley).

    Google Scholar 

  • Cole, K. S. (1968b). Membrane watching, J. Gen. Physiol. 51(No. 5, pt. 2), Is-7s.

    Google Scholar 

  • Conti, F., and Wanke, E. (1975). Channel noise in nerve membrane and lipid bilayers,Q. Rev. Biophys. 8, 451–506.

    Article  Google Scholar 

  • Conti, F., and Neher, E. (1980). Single channel recordings of K+ currents in squid axons, Nature 285, 140–143.

    Article  ADS  Google Scholar 

  • DeFelice, L. J. (1977). Fluctuation analysis in neurobiology, Int. Rev. Neurobiol. 20, 169–208.

    Article  Google Scholar 

  • Ehrenstein, G., and Lecar, H. (1977). Electrically gated ionic channels in lipid bilayers,Q. Rev. Biophys. 10, 1–34.

    Article  Google Scholar 

  • Ehrenstein, G., Lecar, H., and Nossal, R. (1970). The nature of the negative resistance in bimolecular lipid membranes containing excitability inducing material, J. Gen. Physiol. 55, 119–133.

    Article  Google Scholar 

  • Ehrenstein, G., Blumenthal, R., Latorre, R., and Lecar, H. (1974). Kinetics of the opening and closing of individual EIM channels in a lipid bilayer, J. Gen. Physiol. 63, 707–721.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Hodgkin, A. L., and Huxley, A. F. (1952). Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo J. Physiol. 116, 449–472.

    Google Scholar 

  • Jackson, M. B., and Lecar, H. (1979). Single postsynaptic currents in tissue cultured muscle, Nature 282, 863–864.

    Article  ADS  Google Scholar 

  • Jackson, M.B., Lecar, H., Askanas, V., and Engel, W. K. (1980). Single acetylcholine channels in cultured human muscle, Soc. Neurosci. Abstr. 6, 778.

    Google Scholar 

  • Latorre, R., Ehrenstein, G., and Lecar, H. (1972). Ion transport through excitability-inducing material (EIM) channels, J. Gen. Physiol. 60, 72–85.

    Article  Google Scholar 

  • Lecar, H., and Sachs, F. (1981). Membrane noise analysis, in Excitable Cells in Tissue Culture, M. Lieberman and P. G. Nelson, Eds. (Plenum, New York), pp. 137–172.

    Google Scholar 

  • Levitt, D. G. (1978). Electrostatic calculations for an ion channel, Biophys. J. 22, 209–220; 221–248.

    Article  ADS  Google Scholar 

  • Mathers, D. A., Jackson, M. B., Lecar, H., and Barker, J. L. (1981). Single channel currents activated by GABA, muscimol and (-) Pentobarbital in cultured mouse spinal neurons, Biophys. J. 33(No. 2, pt. 2), 14a.

    Google Scholar 

  • Mueller, P., and Rudin, D. O. (1967). Action potential phenomena in experimental bimolecular lipid membranes, Nature 213, 603–604.

    Article  ADS  Google Scholar 

  • Neher, E., and Sakmann, B. (1976). Single-channel currents recorded from membrane of denervated frog muscle fibers. Nature (Lond.) 260, 799–802.

    Article  ADS  Google Scholar 

  • Neher, E., and Stevens, C. F. (1977). Conductance fluctuations and ionic pores in membranes, Ann. Rev. Biophys. Bioeng. 6, 345–381.

    Article  Google Scholar 

  • Neher, E., Sakmann, B., and Steinbach, J. H. (1978). The extracellular patch clamp: A method for resolving currents through individual open channels in biological membranes, Pfugers Arch. 375, 219–228.

    Article  Google Scholar 

  • Parsegian, A. (1969). Energy of an ion crossing a low dielectric membrane: solutions to four relevant electrostatic problems,Nature 221, 844–846.

    Article  ADS  Google Scholar 

  • Sigworth, F. J. (1977). Sodium channels in nerve apparently have two conductance states, Nature 270, 215–267.

    Article  ADS  Google Scholar 

  • Sigworth, F. J., and Neher, E. (1980). Single Na+ channel currents observed in cultured rat muscle cells, Nature 287, 447–449.

    Article  ADS  Google Scholar 

  • Stephens, C. L., Jackson, M. B., and Lecar, H. (1979). Single C channel currents in living cells, J.Immunol. 124, 1541.

    Google Scholar 

  • Stevens, C. F., and Tsien, R. W., Eds. (1979). Ion Permeation through Membrane Channels, Vol. 3 of Membrane Transport Processes (Raven Press, New York)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Plenum Press, New York

About this chapter

Cite this chapter

Lecar, H. (1981). Single-Channel Conductances and Models of Transport. In: Adelman, W.J., Goldman, D.E. (eds) The Biophysical Approach to Excitable Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3297-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3297-8_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3299-2

  • Online ISBN: 978-1-4613-3297-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics