Advances in Decision Sciences

Advances in Decision Sciences / 2007 / Article
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Statistics and Applied Probability: A Tribute to Jeffrey J. Hunter

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Volume 2007 |Article ID 048138 | https://doi.org/10.1155/2007/48138

Frank G. Ball, Robin K. Milne, Geoffrey F. Yeo, "Marked Continuous-Time Markov Chain Modelling of Burst Behaviour for Single Ion Channels", Advances in Decision Sciences, vol. 2007, Article ID 048138, 14 pages, 2007. https://doi.org/10.1155/2007/48138

Marked Continuous-Time Markov Chain Modelling of Burst Behaviour for Single Ion Channels

Academic Editor: Graeme Charles Wake
Received02 May 2007
Accepted08 Aug 2007
Published29 Oct 2007

Abstract

Patch clamp recordings from ion channels often show bursting behaviour, that is, periods of repetitive activity, which are noticeably separated from each other by periods of inactivity. A number of authors have obtained results for important properties of theoretical and empirical bursts when channel gating is modelled by a continuous-time Markov chain with a finite-state space. We show how the use of marked continuous-time Markov chains can simplify the derivation of (i) the distributions of several burst properties, including the total open time, the total charge transfer, and the number of openings in a burst, and (ii) the form of these distributions when the underlying gating process is time reversible and in equilibrium.

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Copyright © 2007 Frank G. Ball et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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