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. 1976 Nov;262(3):699–727. doi: 10.1113/jphysiol.1976.sp011616

Measurement of the conductance of the sodium channel from current fluctuations at the node of Ranvier.

F Conti, B Hille, B Neumcke, W Nonner, R Stämpfli
PMCID: PMC1307668  PMID: 1087643

Abstract

Single myelinated nerve fibres of Rana esculenta were investigated under voltage clamp conditions at 13 degrees C. Fluctuations of steady-state membrane current were measured during the last 152 msec of 190-225 msec pulses depolarizing the membrane by 8-48 mV. Noise power spectral densities were calculated in the frequency range of 6-6-6757 Hz. 2. External application of 150 nM tetrodotoxin (TTX) and/or 10 mM tetraethylammonium (TEA) ion reduced the current fluctuations. The difference of current noise spectra measured in the presence and absence of TTX (TEA) was not changed by the presence of TEA (TTX) during both measurements, and was taken as the spectrum of the Na (K) current fluctuations. 3. Residual current noise during application of both TTX and TEA was, except for some excess noise at the low and high frequency ends of the spectrum, similar to the noise measured from a passive nerve model and could be understood in terms of Nyquist noise of the known resistances and the amplifier noise. 4. Na current fluctuation spectra were interpreted as the sum N/f+SNa(f) where SNa(F) represents the spectrum expected for a set of equal, independent Na channels with only two conductance states (open or closed) which follow Hodgkin-Huxley kinetics. With values of hinfinity, tauh and minfinity measured from macroscopic Na currents, the measured spectra were fitted well by optimizing N, SNa(0) and taum. Values of taum obtained by this method were in fair agreement with values found from macroscopic currents. 5. The 1/f component of Na current noise was roughly proportional to the square of the steady-state Na current, I2. The mean value of N/I2 was (1-1 +/- 0-3) X 10(-4). 6. The current carried by a single Na channel was calculated from fitted spectra and steady-state Na currents measured simultaneously with the current fluctuations. The single channel conductance gamma normalized to zero absolute membrane potential was calculated. The average gamma from twelve measurements at depolarizations of 8-40 mV was 7-9 +/- 0-9 pS (S.E. of mean). The apparent value of gamma was smallest with small depolarizations. Variations of the assumed kinetic properties of the model did not drastically affect the single channel conductance. 7. External application of 0-1 mM-Ni ion lengthened taum in the macroscopic currents and in the fluctuation spectra and enhanced both the steady-state Na current and the current fluctuations. In Ni-treated nodes gamma was smaller than in normal nodes.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Armstrong C. M., Hille B. The inner quaternary ammonium ion receptor in potassium channels of the node of Ranvier. J Gen Physiol. 1972 Apr;59(4):388–400. doi: 10.1085/jgp.59.4.388. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Conti F., De Felice L. J., Wanke E. Potassium and sodium ion current noise in the membrane of the squid giant axon. J Physiol. 1975 Jun;248(1):45–82. doi: 10.1113/jphysiol.1975.sp010962. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Conti F., Hille B., Neumcke B., Nonner W., Stämpfli R. Conductance of the sodium channel in myelinated nerve fibres with modified sodium inactivation. J Physiol. 1976 Nov;262(3):729–742. doi: 10.1113/jphysiol.1976.sp011617. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Conti F., Wanke E. Channel noise in nerve membranes and lipid bilayers. Q Rev Biophys. 1975 Nov;8(4):451–506. doi: 10.1017/s0033583500001967. [DOI] [PubMed] [Google Scholar]
  5. DODGE F. A., FRANKENHAEUSER B. Membrane currents in isolated frog nerve fibre under voltage clamp conditions. J Physiol. 1958 Aug 29;143(1):76–90. doi: 10.1113/jphysiol.1958.sp006045. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. DODGE F. A., FRANKENHAEUSER B. Sodium currents in the myelinated nerve fibre of Xenopus laevis investigated with the voltage clamp technique. J Physiol. 1959 Oct;148:188–200. doi: 10.1113/jphysiol.1959.sp006281. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Dubois J. M., Bergman C. Late sodium current in the node of Ranvier. Pflugers Arch. 1975;357(1-2):145–148. doi: 10.1007/BF00584552. [DOI] [PubMed] [Google Scholar]
  8. FRANKENHAEUSER B. A method for recording resting and action potentials in the isolated myelinated nerve fibre of the frog. J Physiol. 1957 Mar 11;135(3):550–559. doi: 10.1113/jphysiol.1957.sp005729. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. FRANKENHAEUSER B., HUXLEY A. F. THE ACTION POTENTIAL IN THE MYELINATED NERVE FIBER OF XENOPUS LAEVIS AS COMPUTED ON THE BASIS OF VOLTAGE CLAMP DATA. J Physiol. 1964 Jun;171:302–315. doi: 10.1113/jphysiol.1964.sp007378. [DOI] [PMC free article] [PubMed] [Google Scholar]
  10. HODGKIN A. L., HUXLEY A. F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol. 1952 Aug;117(4):500–544. doi: 10.1113/jphysiol.1952.sp004764. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Hill T. L., Chen Y. D. On the theory of ion transport across the nerve membrane. IV. Noise from the open-close kinetics of K + channels. Biophys J. 1972 Aug;12(8):948–959. doi: 10.1016/S0006-3495(72)86136-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Mauro A., Conti F., Dodge F., Schor R. Subthreshold behavior and phenomenological impedance of the squid giant axon. J Gen Physiol. 1970 Apr;55(4):497–523. doi: 10.1085/jgp.55.4.497. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Nonner W. A new voltage clamp method for Ranvier nodes. Pflugers Arch. 1969;309(2):176–192. doi: 10.1007/BF00586967. [DOI] [PubMed] [Google Scholar]
  14. Nonner W., Rojas E., Stämpfli H. Displacement currents in the node of Ranvier. Voltage and time dependence. Pflugers Arch. 1975;354(1):1–18. doi: 10.1007/BF00584499. [DOI] [PubMed] [Google Scholar]
  15. RUSHTON W. A. H. A theory of the effects of fibre size in medullated nerve. J Physiol. 1951 Sep;115(1):101–122. doi: 10.1113/jphysiol.1951.sp004655. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Sjölin L., Grampp W. Membrane noise in slowly adapting stretch receptor neurone of lobster. Nature. 1975 Oct 23;257(5528):696–697. doi: 10.1038/257696a0. [DOI] [PubMed] [Google Scholar]
  17. Stevens C. F. Inferences about membrane properties from electrical noise measurements. Biophys J. 1972 Aug;12(8):1028–1047. doi: 10.1016/S0006-3495(72)86141-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. TASAKI I. New measurements of the capacity and the resistance of the myelin sheath and the nodal membrane of the isolated frog nerve fiber. Am J Physiol. 1955 Jun;181(3):639–650. doi: 10.1152/ajplegacy.1955.181.3.639. [DOI] [PubMed] [Google Scholar]
  19. Verveen A. A., DeFelice L. J. Membrane noise. Prog Biophys Mol Biol. 1974;28:189–265. doi: 10.1016/0079-6107(74)90019-4. [DOI] [PubMed] [Google Scholar]
  20. van den Berg R. J., de Goede J., Verveen A. A. Conductance fluctuations in Ranvier nodes. Pflugers Arch. 1975 Oct 16;360(1):17–23. doi: 10.1007/BF00584323. [DOI] [PubMed] [Google Scholar]

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