Skip to main content
Log in

Use of conditional distributions in the analysis of ion channel recordings

  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

A method to test the Markov nature of ion channel gating is proposed. It makes use of singly and doubly conditional distributions. The application of this method to recordings from single BK channels provides evidence that at least two states of the underlying kinetic scheme are left at a constant rate. Moreover, the probabilities, when leaving a state, of reaching another given state are shown to be constant for all the states of the system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barbi M, Petracchi D (1990) How to test the Markov nature of ionic channels. Proceedings of the 10th European Meeting on Cybernetics and Systems Research. Vienna, 17–20 April 1990

  • Barbi M, Pellegrini M, Pellegrino M, Petracchi D, Simoni A (1988) Interpretazione della cinetica di canali ionici-LXXIV Congresso della SIF, Urbino, ottobre 1988

  • Barbi M, Pellegrini M, Pellegrino M, Petracchi D, Simoni A (1989) Conditional distributions: a tool to study the kinetic mechanism of ion channels. Abstracts of the 12th Annual Meeting of the European Neuroscience Association. Turin, 3–7 September 1989

  • Bauer RJ, Bowman BF, Kenyon JL (1987) Theory of the kinetic analysis of patch-clamp data. Biophys J 52:961–978

    Google Scholar 

  • Bezanilla F (1985) A high capacity data recording device based on a digital audio processor and a video cassette recorder. Biophys J 47:437–442

    Google Scholar 

  • Blatz AL, Magleby KL (1986) Correcting single channel data for missed events. Biophys J 49:967–980

    Google Scholar 

  • Colquhoun D, Hawkes AG (1981) On the stochastic properties of single ion channels. Proc R Soc Lond Biol 211:205–235

    Google Scholar 

  • Colquhoun D, Hawkes AG (1983) The principles of the stochastic interpretation of ion-channel mechanisms. In: Sakmann B, Neher E (eds) Single channel recording. Plenum Press, New York, pp 135–175

    Google Scholar 

  • Colquhoun D, Hawkes AG (1987) A note on correlations in single ion channel records. Proc R Soc Lond Biol 230:15–52

    Google Scholar 

  • Crouzy SC, Sigworth FJ (1990) Yet another approach to the dwell-time omission problem of single-channel analysis. Biophys J 58:731–743

    Google Scholar 

  • Frauenfelder H, Parak F, Young RD (1988) Conformational substates in proteins. Annu Rev Biophys Biophys Chem 17:451–479

    Google Scholar 

  • Fredkin DR, Montal M, Rice JA (1985) Identification of aggregated Markovian models: application to the nicotinic acetylcholine receptor. In: LeCam LM, Olshen RA (eds) Proceedings of the Berkeley Conference in honor of Jerzy Neymann and Jack Kiefer. Wadsworth Press, Belmont, CA, pp 269–289

    Google Scholar 

  • Hamill OP, Marty A, Neher E, Sakmann B, Sigworth FJ (1981) Improved patch clamp techniques for high resolution current recording from cells and cell free membrane patches. Pfluegers Arch 391:85–100

    Google Scholar 

  • Hawkes AG, Jalali A, Colquhoun D (1990) The distributions of the apparent open times and shut times in a single channel record when brief events cannot be detected. Philos Trans R Soc Lond A 332:511–538

    Google Scholar 

  • Kienker P (1989) Equivalence of aggregated Markov models of ion channel gating. Proc R Soc Lond Biol 236:269–389

    Google Scholar 

  • Labarca P, Rice JA, Fredkin DR, Montal M (1985) Kinetic analysis of channel gating. Application to the cholinergic receptor channel and the chloride channel from Torpedo californica. Biophys J 47:469–478

    Google Scholar 

  • Läuger P (1988) Internal motions in proteins and gating kinetics of ionic channels. Biophys J 53:877–884

    Google Scholar 

  • Liebovitch LS (1989) Testing fractal and Markov models of ion channel kinetics. Biophys J 55:373–377

    Google Scholar 

  • Liebovitch LS, Sullivan JM (1987) Fractal analysis of a voltage-dependent potassium channel from cultured mouse hippocampal neurons. Biophys J 52:979–988

    Google Scholar 

  • Magleby KL, Weiss DS (1990a) Estimating kinetic rate constants for single channels using simulated two-dimensional dwell-time distributions: a general method to account for the true effects of limited time resolution and noise. Biophys J 57:15a

    Google Scholar 

  • Magleby KL, Weiss DS (1990 b) Identifying kinetic gating mechanisms for ion channels by using two-dimensional distributions of simulated dwell times. Proc R Soc Lond Biol 241:220–228

    Google Scholar 

  • McManus OB, Magleby KL (1989) Kinetic time constants independent of previous single-channel activity suggest Markov gating for a large conductance Ca-activated K channel. J Gen Physiol 94:1037–1070

    Google Scholar 

  • McManus OB, Blatz AL, Magleby KL (1985) Inverse relationship of the durations of adjacent open and closed intervals for Cl and K channels. Nature 317:625–628

    Google Scholar 

  • Milhauser GL Salpeter EE Oswald RE (1988) Diffusion models of ion-channel gating and the origin of the power-law distributions from single-channel recording. Proc Natl Acad Sci USA 85:1503–1507

    Google Scholar 

  • Petracchi D, Barbi M (1990) Statistics of open and closed dwell times of ion channels. SIF Proceedings. IX SIBPA Congress, X GNCB Congress. Marciana Marina 1990. (In press)

  • Roux B, Sauvè R (1985) A general solution to the time interval omission problem applied to single channel analysis. Biophys J 48:149–158

    Google Scholar 

  • Sigworth FJ, Sine SM (1987) Data transformations for improved display and fitting of single-channel dwell time histograms. Biophys J 52:1047–1054

    Google Scholar 

  • Simonneau M, Distasi C, Tauc L, Poujeol C (1985) Development of ionic channels during mouse neuronal differentiation. J Physiol (Paris) 80:312–320

    Google Scholar 

  • Steinberg IZ (1987) Relation between statistical properties of single ion channel recordings and the thermodynamic state of the channel. J Theor Biol 12:71–87

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Offprint requests to: D. Petracchi

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petracchi, D., Barbi, M., Pellegrini, M. et al. Use of conditional distributions in the analysis of ion channel recordings. Eur Biophys J 20, 31–39 (1991). https://doi.org/10.1007/BF00183277

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00183277

Key words

Navigation