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

Frank Ball | Zendy; Robin K. Milne | Zendy; Geoffrey Yeo | Zendy

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

Author(s) -

Frank Ball,

Robin K. Milne,

Geoffrey Yeo

Publication year - 2007

Publication title -

journal of applied mathematics and decision sciences

Language(s) - English

Resource type - Journals

eISSN - 1532-7612

pISSN - 1173-9126

DOI - 10.1155/2007/48138

Subject(s) - bursting , markov chain , gating , markov process , channel (broadcasting) , statistical physics , discrete time and continuous time , computer science , mathematics , physics , statistics , biophysics , telecommunications , neuroscience , biology

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 bya 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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