Principles and applications of fluctuation analysis: a nonmathematical introduction

  • Charles F. Stevens
Part of the Faseb Monographs book series (FASEBM, volume 5)

Abstract

The mechanisms underlying many of the processes studied by membrane biophysicists are inherently probabilistic, and therefore exhibit random fluctuations around the mean of behavior. These fluctuations reflect the underlying probabilistic mechanism and therefore can sometimes provide information, not otherwise available, about these mechanisms. Fluctuations may be characterized by their spectra which are obtained from a Fourier analysis of the experimental records. When a theory for membrane processes is available, it makes predictions about fluctuation spectra and therefore may be tested by examining these spectra. Theories about gating behavior at the frog neuromuscular junction have been tested in this way, and it has been possible, in addition, to estimate the conductance of one open channel, a quantity not susceptible to direct measurements. Various physical pictures are capable of yielding the same macroscopic behavior for axon membranes, that is, the Hodgkin-Huxley equations, but these various mechanisms predict that the current fluctuations around their mean values should have different characteristics. Fluctuation analysis may, then, be of value in elucidating the physical basis for axon conductance changes.—Stevens, C. F. Principles and applications of fluctuation analysis: a nonmathematical introduction. Federation Proc. 34: 1364–1369, 1975.

Keywords

Permeability Covariance Autocorrelation Choline Macromolecule 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Anderson, C. R., and C. F. Stevens. J. Physiol. London 235: 655, 1973.Google Scholar
  2. 2.
    Callen, H. B., and R. F. Greene. Phys. Rev. 86: 702, 1952.MathSciNetADSMATHCrossRefGoogle Scholar
  3. 3.
    Callen, H. B., and T. A. Welton. Phys. Rev. 83: 34, 1951.MathSciNetADSMATHCrossRefGoogle Scholar
  4. 4.
    Dionne, V. E., and C. F. Stevens. J. Physiol. London In press.Google Scholar
  5. 5.
    Feher, G., and M. Weissman. Proc. Natl. Acad. Sci, U.S. 70: 870, 1973.ADSCrossRefGoogle Scholar
  6. 6.
    Hodgkin, A. L., and A. F. Huxley. J. Physiol. London 117: 500, 1952.Google Scholar
  7. 7.
    Katz, B., AND R. MiLEDi. Nature 226: 962, 1970.Google Scholar
  8. 8.
    Kubo, R.J. Phys. Soc. Japan 12: 570, 1957.MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    Kubo, R. In: The Many-Body Theory, edited by R. Kubo. Tokyo: Tokyo Summer Institute of Theoretical Physics, 1965.Google Scholar
  10. 10.
    Magleby, K. L., and C. F. Stevens. J. Physiol. London 223: 151, 1972.Google Scholar
  11. 11.
    Magleby, K. L., and C. F. Stevens. J. Physiol. London 223: 173, 1972.Google Scholar
  12. 12.
    Stevens, C. Y.Biophys. J. 12: 1028, 1972.ADSCrossRefGoogle Scholar

Copyright information

© Federation of American Societies 1975

Authors and Affiliations

  • Charles F. Stevens
    • 1
  1. 1.Department of Physiology and BiophysicsUniversity of Washington School of MedicineSeattleUSA

Personalised recommendations