DOI: 10.1098/rstb.1982.0156. On the stochastic properties of bursts of single ion channel openings and of clusters of bursts

On the stochastic properties of bursts of single ion channel openings and of clusters of bursts

10.1098/rstb.1982.0156

Crossref journal-article

The Royal Society

Philosophical Transactions of the Royal Society of London. B, Biological Sciences (175)

Abstract

Characteristics of observed bursts of single channel openings were derived recently for two particular ion channel mechanisms. In this paper these methods are generalized so that the observable characteristics of bursts can be calculated directly for any mechanism that has transition probabilities that are independent of time as long as the process is at equilibrium or is maintained in a steady state by an energy supply. General expressions are given for the distributions of the open time, the number of openings per burst, the total open time per burst, the gaps within and between bursts, and so on. With the aid of these general results a single computer program can be written that will provide numerical values for such distributions for postulated mechanism, given only the transition rates between the various states. The results are illustrated by a numerical example of a mechanism in which two agonist molecules can bind sequentially, and either singly or doubly occupied receptor ion channels may open. The analogous theory is also given for the case where bursts of channel openings are grouped into clusters; many of the results bear a close analogy with those found for simple bursts.

Bibliography

On the stochastic properties of bursts of single ion channel openings and of clusters of bursts. (1982). Philosophical Transactions of the Royal Society of London. B, Biological Sciences, 300(1098), 1â59.

Authors 0

None

References 30 Referenced 398

Bailey N. T. J. 1 9 6 4 The elements of stochastic processes. New York: Wiley.
10.1098/rspb.1957.0018
Colquhoun D. 1 9 7 1 Lectures on biostatistics. Oxford: Clarendon Press.
Colquhoun D. 1 9 7 3 The relation between classical and cooperative models for drug action. In Drug receptors (ed. H. P. Rang) pp. 149-182. London: Macmillan. (10.1007/978-1-349-00910-7_11)
Colquhoun D. 1 9 7 9 The link between drug binding and response: theories and observations. In The receptors: a comprehensive treatise (ed. R. D. O 'Brien). New York: Plenum Press.
10.1098/rspb.1977.0137
10.1098/rspb.1981.0003
10.1038/294752a0
10.1038/294464a0
10.1038/285140a0
Cox D. R. 1 9 6 2 Renewal theory. London: Methuen.
10.1038/295410a0
Denbigh K. G. 1 9 5 1 The thermodynamics of the steady state. London: Methuen. New York: Wiley.
{'key': 'p_14', 'first-page': '421', 'article-title': 'An analysis of the dose-response relationship at voltageclamped frog neuromuscular junctions. J. Physiol', 'volume': '281', 'author': 'Dionne V. E.', 'journal-title': 'Lond.'} / Lond. / An analysis of the dose-response relationship at voltageclamped frog neuromuscular junctions. J. Physiol by Dionne V. E.
Hamill O. P. Marty A. Neher E. Sakmann B. & Sigworth F. J. 1 9 8 1 Improved patch-clamp techniques for high-resolution current recording from cells and cell-free membrane patches. Pfliigers Arch. Eur. J. Physiol. 391 85-100. (10.1007/BF00656997)
10.1038/294462a0
Hawkes A. G. & Colquhoun D. 1 9 8 3 The effect of limited time resolution on the observed burst kinetics of ion channels. (In preparation.)
Kelly F. P. 1 9 7 9 Reversibility and stochastic networks. Chichester: Wiley.
10.1038/291497a0
Neher E. 19 8 3 The charge carried by single channel currents during local anaesthetic action. (In preparation.)
10.1038/260799a0
{'key': 'p_22', 'first-page': '153', 'article-title': 'Local anaesthetics transiently block currents through single acetylcholinereceptor channels. J. Physiol', 'volume': '277', 'author': 'Neher E.', 'journal-title': 'Lond.'} / Lond. / Local anaesthetics transiently block currents through single acetylcholinereceptor channels. J. Physiol by Neher E.
10.1038/289596a0
Ogden D. C. Siegelbaum S. A. & Colquhoun D. 1 9 8 3 T he actions of an uncharged local anaesthetic on acetylcholine-activated ion channels. (In preparation.)
10.1103/PhysRev.37.405
10.1038/293471a0
{'key': 'p_27', 'first-page': '643', 'article-title': 'Single glutamate activated channels in locust muscle. Nature', 'volume': '278', 'author': 'Patlak J. B.', 'journal-title': 'Load.'} / Load. / Single glutamate activated channels in locust muscle. Nature by Patlak J. B.
10.1038/286071a0
10.1038/287447a0
Tolman R. C. 1 9 3 8 The principles of statistical mechanics. London: Oxford University Press.

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 2:52 p.m.)
Deposited	4 years, 6 months ago (Feb. 20, 2021, 2:06 p.m.)
Indexed	1 day, 14 hours ago (Sept. 4, 2025, 10:32 a.m.)
Issued	42 years, 8 months ago (Dec. 24, 1982)
Published	42 years, 8 months ago (Dec. 24, 1982)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	42 years, 8 months ago (Dec. 24, 1982)

Funders 0

None

BibTeX

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