A current-based model for time interval omission in Markov single ion channel gating mechanisms

1999 ◽  
Vol 15 (4) ◽  
pp. 661-694 ◽  
Author(s):  
Frank Ball ◽  
Tom Winch
Keyword(s):  
Ion Channel ◽  
Channel Gating ◽  
Time Interval ◽  
Ion Channel Gating ◽  
Gating Mechanisms ◽  
A Current

scholarly journals Membrane mechanics as a probe of ion-channel gating mechanisms

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
Daniel Reeves ◽  
Tristan Ursell ◽  
Pierre Sens ◽  
Jane Kondev ◽  
Rob Phillips
Keyword(s):  
Ion Channel ◽  
Channel Gating ◽  
Membrane Mechanics ◽  
Ion Channel Gating ◽  
Gating Mechanisms

scholarly journals Toward CFTR Structural Dynamics During Ion Channel Gating

2009 ◽  
Vol 96 (3) ◽  
pp. 488a
Author(s):  
Andrei A. Aleksandrov ◽  
Luing Cui ◽  
John R. Riordan
Keyword(s):  
Ion Channel ◽  
Structural Dynamics ◽  
Channel Gating ◽  
Ion Channel Gating

Clustering of Bursts of Openings in Markov and Semi-Markov Models of Single Channel Gating

1997 ◽  
Vol 29 (01) ◽  
pp. 92-113 ◽  
Author(s):  
Frank Ball ◽  
Sue Davies
Keyword(s):  
Markov Chain ◽  
Ion Channel ◽  
State Space ◽  
Continuous Time ◽  
Markov Models ◽  
Numerical Study ◽  
Channel Gating ◽  
Markov Renewal Process ◽  
Time Interval ◽  
Continuous Time Markov Chain

The gating mechanism of a single ion channel is usually modelled by a continuous-time Markov chain with a finite state space. The state space is partitioned into two classes, termed ‘open’ and ‘closed’, and it is possible to observe only which class the process is in. In many experiments channel openings occur in bursts. This can be modelled by partitioning the closed states further into ‘short-lived’ and ‘long-lived’ closed states, and defining a burst of openings to be a succession of open sojourns separated by closed sojourns that are entirely within the short-lived closed states. There is also evidence that bursts of openings are themselves grouped together into clusters. This clustering of bursts can be described by the ratio of the variance Var (N(t)) to the mean[N(t)] of the number of bursts of openings commencing in (0, t]. In this paper two methods of determining Var (N(t))/[N(t)] and limt→∝Var (N(t))/[N(t)] are developed, the first via an embedded Markov renewal process and the second via an augmented continuous-time Markov chain. The theory is illustrated by a numerical study of a molecular stochastic model of the nicotinic acetylcholine receptor. Extensions to semi-Markov models of ion channel gating and the incorporation of time interval omission are briefly discussed.

scholarly journals Regulation of CFTR ion channel gating by MgATP

FEBS Letters ◽  
1998 ◽  
Vol 431 (1) ◽  
pp. 97-101 ◽  
Author(s):  
Andrei A. Aleksandrov ◽  
John R. Riordan
Keyword(s):  
Ion Channel ◽  
Channel Gating ◽  
Ion Channel Gating
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