Skip to main content
NCBI home page
Biophysical Journal logoLink to Biophysical Journal
. 1990 Sep;58(3):731–743. doi: 10.1016/S0006-3495(90)82416-4

Yet another approach to the dwell-time omission problem of single-channel analysis.

S C Crouzy 1, F J Sigworth 1
PMCID: PMC1281014  PMID: 1698473

Abstract

Distortion of the open-time or closed-time distributions of single channel currents, due to limited time resolution of the recording system, has been addressed by many authors. The calculation of the modified distributions generally involves the numerical inversion of a Laplace transform and is difficult to apply in fitting multistate kinetic schemes to data. Our approach is to introduce "virtual states" into the kinetic scheme, as suggested by Blatz and Magleby (1986. Biophys. J. 49:967-980) to account for missed events. To simplify the assignment of rate constants in multistate schemes we make use of Kienker's (1989. Proc. R. Soc. Lond. 236:296-309) theory to first transform schemes to uncoupled form. Our approach provides a good approximation to the exact solution, while allowing the observable dwell-time distributions, and also the second-order probability density functions, to be computed by standard matrix techniques.

Full text

PDF
731

Selected References

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

  1. Bauer R. J., Bowman B. F., Kenyon J. L. Theory of the kinetic analysis of patch-clamp data. Biophys J. 1987 Dec;52(6):961–978. doi: 10.1016/S0006-3495(87)83289-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Blatz A. L., Magleby K. L. Correcting single channel data for missed events. Biophys J. 1986 May;49(5):967–980. doi: 10.1016/S0006-3495(86)83725-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Colquhoun D., Hawkes A. G. On the stochastic properties of single ion channels. Proc R Soc Lond B Biol Sci. 1981 Mar 6;211(1183):205–235. doi: 10.1098/rspb.1981.0003. [DOI] [PubMed] [Google Scholar]
  4. 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]
  5. Kienker P. Equivalence of aggregated Markov models of ion-channel gating. Proc R Soc Lond B Biol Sci. 1989 Apr 22;236(1284):269–309. doi: 10.1098/rspb.1989.0024. [DOI] [PubMed] [Google Scholar]
  6. Kijima S., Kijima H. Statistical analysis of channel current from a membrane patch. I. Some stochastic properties of ion channels or molecular systems in equilibrium. J Theor Biol. 1987 Oct 21;128(4):423–434. doi: 10.1016/s0022-5193(87)80188-1. [DOI] [PubMed] [Google Scholar]
  7. Magleby K. L., Pallotta B. S. Calcium dependence of open and shut interval distributions from calcium-activated potassium channels in cultured rat muscle. J Physiol. 1983 Nov;344:585–604. doi: 10.1113/jphysiol.1983.sp014957. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Milne R. K., Yeo G. F., Edeson R. O., Madsen B. W. Stochastic modelling of a single ion channel: an alternating renewal approach with application to limited time resolution. Proc R Soc Lond B Biol Sci. 1988 Apr 22;233(1272):247–292. doi: 10.1098/rspb.1988.0022. [DOI] [PubMed] [Google Scholar]
  9. Neher E. The charge carried by single-channel currents of rat cultured muscle cells in the presence of local anaesthetics. J Physiol. 1983 Jun;339:663–678. doi: 10.1113/jphysiol.1983.sp014741. [DOI] [PMC free article] [PubMed] [Google Scholar]
  10. Roux B., Sauvé R. A general solution to the time interval omission problem applied to single channel analysis. Biophys J. 1985 Jul;48(1):149–158. doi: 10.1016/S0006-3495(85)83768-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Sachs F., Neil J., Barkakati N. The automated analysis of data from single ionic channels. Pflugers Arch. 1982 Dec;395(4):331–340. doi: 10.1007/BF00580798. [DOI] [PubMed] [Google Scholar]
  12. Sigworth F. J., Sine S. M. Data transformations for improved display and fitting of single-channel dwell time histograms. Biophys J. 1987 Dec;52(6):1047–1054. doi: 10.1016/S0006-3495(87)83298-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Yeo G. F., Milne R. K., Edeson R. O., Madsen B. W. Statistical inference from single channel records: two-state Markov model with limited time resolution. Proc R Soc Lond B Biol Sci. 1988 Oct 22;235(1278):63–94. doi: 10.1098/rspb.1988.0063. [DOI] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES