On the stochastic properties of bursts of single ion channel openings and of clusters of bursts
Open Access
- 24 December 1982
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. B, Biological Sciences
- Vol. 300 (1098), 1-59
- https://doi.org/10.1098/rstb.1982.0156
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.Keywords
This publication has 17 references indexed in Scilit:
- Rapid kinetics of single glutamate-receptor channelsNature, 1982
- Multiple conductance states of single acetylcholine receptor channels in embryonic muscle cellsNature, 1981
- Fluctuations in the microsecond time range of the current through single acetylcholine receptor ion channelsNature, 1981
- Inward current channels activated by intracellular Ca in cultured cardiac cellsNature, 1981
- Improved patch-clamp techniques for high-resolution current recording from cells and cell-free membrane patchesPflügers Archiv - European Journal of Physiology, 1981
- On the stochastic properties of single ion channelsProceedings of the Royal Society of London. B. Biological Sciences, 1981
- Single channel recordings of K+ currents in squid axonsNature, 1980
- Relaxation and fluctuations of membrane currents that flow through drug-operated channelsProceedings of the Royal Society of London. B. Biological Sciences, 1977
- The Relation between Classical and Cooperative Models for Drug ActionPublished by Springer Science and Business Media LLC ,1973
- Interaction at end-plate receptors between different choline derivativesProceedings of the Royal Society of London. Series B - Biological Sciences, 1957