Abstract
A theory is presented which relates the nonstationary autocovariance (covariance) function to the kinetics of independently-gated ionic channels. The experimental covariance was calculated from ensembles of 256--504 current records elicited from single, voltage-clamped, frog myelinated nerve fibers. Analysis of the covariance shows that the decay of channels from conducting to nonconducting states proceeds more slowly late in a depolarization to near 0 mV, as compared with early in the same depolarization. This behavior is inconsistent with there being only one kinetic state corresponding to the open channel. The behavior can be explained by the existence of multiple kinetic states corresponding to the open channel, or, alternatively, by the existence of multiple, kinetically distinct populations of channels.
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Selected References
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- Armstrong C. M., Bezanilla F. Inactivation of the sodium channel. II. Gating current experiments. J Gen Physiol. 1977 Nov;70(5):567–590. doi: 10.1085/jgp.70.5.567. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Armstrong C. M., Gilly W. F. Fast and slow steps in the activation of sodium channels. J Gen Physiol. 1979 Dec;74(6):691–711. doi: 10.1085/jgp.74.6.691. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chandler W. K., Meves H. Evidence for two types of sodium conductance in axons perfused with sodium fluoride solution. J Physiol. 1970 Dec;211(3):653–678. doi: 10.1113/jphysiol.1970.sp009298. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chandler W. K., Meves H. Rate constants associated with changes in sodium conductance in axons perfused with sodium fluoride. J Physiol. 1970 Dec;211(3):679–705. doi: 10.1113/jphysiol.1970.sp009299. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chiu S. Y. Inactivation of sodium channels: second order kinetics in myelinated nerve. J Physiol. 1977 Dec;273(3):573–596. doi: 10.1113/jphysiol.1977.sp012111. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Colquhoun D., Hawkes A. G. Relaxation and fluctuations of membrane currents that flow through drug-operated channels. Proc R Soc Lond B Biol Sci. 1977 Nov 14;199(1135):231–262. doi: 10.1098/rspb.1977.0137. [DOI] [PubMed] [Google Scholar]
- 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]
- 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]
- Conti F., Hille B., Neumcke B., Nonner W., Stämpfli R. Measurement of the conductance of the sodium channel from current fluctuations at the node of Ranvier. J Physiol. 1976 Nov;262(3):699–727. doi: 10.1113/jphysiol.1976.sp011616. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Conti F., Neumcke B., Nonner W., Stämpfli R. Conductance fluctuations from the inactivation process of sodium channels in myelinated nerve fibres. J Physiol. 1980 Nov;308:217–239. doi: 10.1113/jphysiol.1980.sp013469. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- 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]
- 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]
- DeFelice L. J. Fluctuation analysis in neurobiology. Int Rev Neurobiol. 1977;20:169–208. doi: 10.1016/s0074-7742(08)60653-4. [DOI] [PubMed] [Google Scholar]
- Ehrenstein G., Lecar H., Nossal R. The nature of the negative resistance in bimolecular lipid membranes containing excitability-inducing material. J Gen Physiol. 1970 Jan;55(1):119–133. doi: 10.1085/jgp.55.1.119. [DOI] [PMC free article] [PubMed] [Google Scholar]
- FRANKENHAEUSER B., HODGKIN A. L. The action of calcium on the electrical properties of squid axons. J Physiol. 1957 Jul 11;137(2):218–244. doi: 10.1113/jphysiol.1957.sp005808. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fishman H. M., Moore L. E., Poussart D. Ion movements and kinetics in squid axon II. Spontaneous electrical fluctuations. Ann N Y Acad Sci. 1977 Dec 30;303:399–428. [PubMed] [Google Scholar]
- Goldman L., Hahin R. Initial conditions and the kinetics of the sodium conductance in Myxicola giant axons. II. Relaxation experiments. J Gen Physiol. 1978 Dec;72(6):879–898. doi: 10.1085/jgp.72.6.879. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- Hille B. Gating in sodium channels of nerve. Annu Rev Physiol. 1976;38:139–152. doi: 10.1146/annurev.ph.38.030176.001035. [DOI] [PubMed] [Google Scholar]
- Neher E., Stevens C. F. Conductance fluctuations and ionic pores in membranes. Annu Rev Biophys Bioeng. 1977;6:345–381. doi: 10.1146/annurev.bb.06.060177.002021. [DOI] [PubMed] [Google Scholar]
- Nonner W. Relations between the inactivation of sodium channels and the immobilization of gating charge in frog myelinated nerve. J Physiol. 1980 Feb;299:573–603. doi: 10.1113/jphysiol.1980.sp013143. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sigworth F. J. Sodium channels in nerve apparently have two conductance states. Nature. 1977 Nov 17;270(5634):265–267. doi: 10.1038/270265a0. [DOI] [PubMed] [Google Scholar]
- Sigworth F. J. The conductance of sodium channels under conditions of reduced current at the node of Ranvier. J Physiol. 1980 Oct;307:131–142. doi: 10.1113/jphysiol.1980.sp013427. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sigworth F. J. The variance of sodium current fluctuations at the node of Ranvier. J Physiol. 1980 Oct;307:97–129. doi: 10.1113/jphysiol.1980.sp013426. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- Stevens C. F. Interactions between intrinsic membrane protein and electric field. An approach to studying nerve excitability. Biophys J. 1978 May;22(2):295–306. doi: 10.1016/S0006-3495(78)85490-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
- van den Berg R. J., Siebenga E., de Bruin G. Potassium ion noise currents and inactivation in voltage-clamped node of Ranvier. Nature. 1977 Jan 13;265(5590):177–179. doi: 10.1038/265177a0. [DOI] [PubMed] [Google Scholar]