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. 1972 Aug;12(8):948–959. doi: 10.1016/S0006-3495(72)86136-8

On the Theory of Ion Transport across the Nerve Membrane

IV. Noise from the Open-Close Kinetics of K+ Channels

Terrell L Hill, Yi-Der Chen
PMCID: PMC1484247  PMID: 5044583

Abstract

The theoretical power density spectrum G(f) of fluctuations in the steady-state squid axon K+ current in the 103 Hz region has been derived assuming that these are fluctuations in the number of open K+ channels in the Hodgkin-Huxley (HH) model. Various modifications of the HH model were also studied. The results were negative in all cases when compared with experiment. This confirms the generally held view that the observed G(f) ∼ 1/f is associated primarily with K+ current through open K+ channels and not with the open-close kinetics of these channels.

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Selected References

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

  1. COLE K. S., MOORE J. W. Potassium ion current in the squid giant axon: dynamic characteristic. Biophys J. 1960 Sep;1:1–14. doi: 10.1016/s0006-3495(60)86871-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Derksen H. E. Axon membrane voltage fluctuations. Acta Physiol Pharmacol Neerl. 1965;13(4):373–466. [PubMed] [Google Scholar]
  3. 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]
  4. HODGKIN A. L., HUXLEY A. F. The components of membrane conductance in the giant axon of Loligo. J Physiol. 1952 Apr;116(4):473–496. doi: 10.1113/jphysiol.1952.sp004718. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Hill T. L., Chen Y. D. On the theory of ion transport across the nerve membrane. 3. Potassium ion kinetics and cooperativity (with x=4,6,9). Proc Natl Acad Sci U S A. 1971 Oct;68(10):2488–2492. doi: 10.1073/pnas.68.10.2488. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Hill T. L., Chen Y. D. On the theory of ion transport across the nerve membrane. II. Potassium ion kinetics and cooperativity (with x = 4). Proc Natl Acad Sci U S A. 1971 Aug;68(8):1711–1715. doi: 10.1073/pnas.68.8.1711. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Poussart D. J. Membrane current noise in lobster axon under voltage clamp. Biophys J. 1971 Feb;11(2):211–234. doi: 10.1016/S0006-3495(71)86209-4. [DOI] [PMC free article] [PubMed] [Google Scholar]

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