Acta Biotheoretica

, Volume 23, Issue 1, pp 1–17 | Cite as

Power spectra of pulse sequences and implications for membrane fluctuations

  • K. L. Schick


Electrical membrane fluctuations are treated as due to sequences of ion pulses passing through the membrane. A mathematical procedure is developed which permits calculation of the power spectra for sequences in which the pulses can have Poisson or non-Poisson interval distributions and may or may not have coupled pulse parameters. It is shown that there probably exist specific sequences which are intimately related to membrane 1/f and burst noise. In particular, emphasis is placed upon sequences with non-Poisson interval distributions and their implications for membrane structure. A variety of experiments is suggested which will help to distinguish among the alternatives presented.


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  1. [1]
    Armstrong, O. G. M. (1971). Interaction of tetraethylammonium ion derivatives with the potassium channels of giant axons.-J. gen. Physiol.58, P. 413–437.Google Scholar
  2. [2]
    Haydon, D. A. &S. B. Hladky (1972). Ion transport across thin lipid membrane: A critical discussion of mechanisms in selected systems.-Quart. Rev. of Biophys.5, p. 187–282.Google Scholar
  3. [3]
    Heiden, C. (1969). Power spectrum of stochastic pulse sequences with correlation between the pulse parameters.-Phys. Rev.188, p. 319–326.Google Scholar
  4. [4]
    Hill, T. L. &Yi-Der Chen (1971). On the theory of ion transport across the nerve membrane, II.-Proc. Nat. Ac. Sci. U.S.A.68, p. 1711–1715.Google Scholar
  5. [5]
    Hill, T. L. &Yi-Der Chen (1972). On the theory of ion transport across the nerve membrane.-Biophys. J.12, p. 948–959.Google Scholar
  6. [6]
    Hooge, F. N. &A. M. H. Hoppenbrouwers (1969). Amplitude distribution of 1/f noise.-Physica42, p. 331–339.Google Scholar
  7. [7]
    Keynes, R. D., J. M. Ritchie &E. J. Rojas (1971). The binding of tetrodotoxin to nerve membranes.-J. Physiol.213, p. 235–254.Google Scholar
  8. [8]
    Lukes, T. (1961). Statistical properties of sequences of stochastic pulses.-Proc. phys. Soc. (London)18, p. 156–168.Google Scholar
  9. [9]
    Mazzetti, P. (1962). Study of nonindependent random pulse trains, with application to the Barkhausen noise.-Nuovo Cimehto25, p. 1322–1341.Google Scholar
  10. [10]
    Mazzetti, P. & G.Montalenti (1964). The theory of the power spectrum of Barkhausen noise.-Proc. Int. Conf. on Mag. (Nottingham), p. 701–706.Google Scholar
  11. [11]
    Moore, J. W., T. Narahasai &T. I. Shaw (1967). An upper limit to the number of sodium channels in nerve membrane.-J. Physiol. (London)188, p. 99–105.Google Scholar
  12. [12]
    Poussart, D. J. M. (1971). Membrane current noise in lobster axon under voltage clamp.-Biophys. J.11, p. 211–234.Google Scholar
  13. [13]
    Rice, S. O. (1944). Mathematical analysis of random noise.-Bell System techn. J.23 and24, p. 1–162.Google Scholar
  14. [14]
    Stevens, C. F. (1972). Inferences about membrane properties from electrical noise measurements.-Biophys. J.12, p. 1028–1046.Google Scholar
  15. [15]
    Tunaley, J. K. E. (1972). A physical process for 1/f noise in thin metallic films.-J. appl. Phys.43, p. 3851–3855.Google Scholar
  16. [16]
    Verveen, A. A. &H. E. Derksen (1968). Fluctuation phenomena in nerve membrane.-Proceedings of the IEEE56, p. 906–916.Google Scholar

Copyright information

© E. J. Brill 1974

Authors and Affiliations

  • K. L. Schick
    • 1
    • 2
  1. 1.Dept. of PhysiologyLeiden UniversityLeidenNetherlands
  2. 2.Union CollegeSchenectadyUSA

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