Multivariate semi-Markov analysis of burst properties of multiconductance single ion channels

Multivariate semi-Markov analysis of burst properties of multiconductance single ion channels
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DOI:
10.1239/jap/1019737996
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发表时间:
2002-03
影响因子:
1
通讯作者:
Frank Ball;R. Milne;G. Yeo
Frank Ball;R. Milne;G. Yeo
中科院分区:
数学4区
文献类型:
--
作者:
Frank Ball;R. Milne;G. Yeo

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膜片钳对离子通道的记录经常显示出周期性的重复活动,即所谓的爆发,它们被不活动的时期明显地分开。根据通道的类型,这样的记录可能表现出在闭合(零)电平和全开电平之间的(电导)电平。与不同水平的单个逗留的性质相比,爆发的性质较少受到记录所产生的问题的影响,并且对爆发行为的研究提供了有关底层通道门控过程的更精细结构的重要信息。对于允许一个或多个非零电导水平的一般有限状态空间连续时间马尔可夫链模型,本文建立了单个爆发和一系列爆发的半马尔可夫结构的结果,并将其用于理论和经验爆发性质的统一方法。导出了特定突发特性的分布和力矩,包括总电荷转移、总停留时间和突发期间访问指定电导水平的总次数。还描述了各种扩展。
Patch clamp recordings from ion channels often show periods of repetitive activity, known as bursts, which are noticeably separated from each other by periods of inactivity. Depending on the type of channel, such recordings may exhibit (conductance) levels between the closed (zero) level and the fully open level. Properties of bursts are less subject to problems that arise from recording than are properties for individual sojourns at different levels, and study of bursting behaviour provides important information about the finer structure of the underlying channel gating process. For a general finite state space continuous-time Markov chain model allowing one or more nonzero conductance levels, the present paper establishes results about the semi-Markov structure of a single burst and of a sequence of bursts, and uses this in a unified approach to properties of both theoretical and empirical bursts. The distribution and moments of particular burst properties, including the total charge transfer, the total sojourn time and the total number of visits to specified conductance levels during a burst, are derived. Various extensions are also described.