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马尔可夫模型在离子通道中的 MCMC 估计。

MCMC estimation of Markov models for ion channels.

机构信息

Auckland Bioengineering Institute, The University of Auckland, Auckland, New Zealand.

出版信息

Biophys J. 2011 Apr 20;100(8):1919-29. doi: 10.1016/j.bpj.2011.02.059.

DOI:10.1016/j.bpj.2011.02.059
PMID:21504728
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3077709/
Abstract

Ion channels are characterized by inherently stochastic behavior which can be represented by continuous-time Markov models (CTMM). Although methods for collecting data from single ion channels are available, translating a time series of open and closed channels to a CTMM remains a challenge. Bayesian statistics combined with Markov chain Monte Carlo (MCMC) sampling provide means for estimating the rate constants of a CTMM directly from single channel data. In this article, different approaches for the MCMC sampling of Markov models are combined. This method, new to our knowledge, detects overparameterizations and gives more accurate results than existing MCMC methods. It shows similar performance as QuB-MIL, which indicates that it also compares well with maximum likelihood estimators. Data collected from an inositol trisphosphate receptor is used to demonstrate how the best model for a given data set can be found in practice.

摘要

离子通道的特征是固有随机性,可以用连续时间马尔可夫模型(CTMM)来表示。虽然有从单个离子通道收集数据的方法,但将开和闭通道的时间序列转换为 CTMM 仍然是一个挑战。贝叶斯统计与马尔可夫链蒙特卡罗(MCMC)抽样相结合,为直接从单个通道数据估计 CTMM 的速率常数提供了一种方法。在本文中,结合了用于 MCMC 抽样的不同马尔可夫模型方法。就我们所知,这种方法检测到了过度参数化,并给出了比现有 MCMC 方法更准确的结果。它与 QuB-MIL 的性能相似,这表明它与最大似然估计器的比较也很好。使用三磷酸肌醇受体收集的数据来演示如何在实践中找到给定数据集的最佳模型。

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本文引用的文献

1
Inositol trisphosphate receptor and ion channel models based on single-channel data.基于单通道数据的三磷酸肌醇受体和离子通道模型。
Chaos. 2009 Sep;19(3):037104. doi: 10.1063/1.3184540.
2
Allosteric control of gating mechanisms revisited: the large conductance Ca2+-activated K+ channel.门控机制的变构调控再探讨:大电导钙激活钾通道
Biophys J. 2009 May 20;96(10):3987-96. doi: 10.1016/j.bpj.2009.02.042.
3
Markov chain Monte Carlo fitting of single-channel data from inositol trisphosphate receptors.肌醇三磷酸受体单通道数据的马尔可夫链蒙特卡罗拟合。
J Theor Biol. 2009 Apr 7;257(3):460-74. doi: 10.1016/j.jtbi.2008.12.020. Epub 2008 Dec 30.
4
Regulation of single inositol 1,4,5-trisphosphate receptor channel activity by protein kinase A phosphorylation.蛋白激酶A磷酸化对单肌醇1,4,5-三磷酸受体通道活性的调节
J Physiol. 2008 Aug 1;586(15):3577-96. doi: 10.1113/jphysiol.2008.152314. Epub 2008 Jun 5.
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Analysis of single ion channel data incorporating time-interval omission and sampling.结合时间间隔遗漏和采样的单离子通道数据分析。
J R Soc Interface. 2006 Feb 22;3(6):87-97. doi: 10.1098/rsif.2005.0078.
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Using independent open-to-closed transitions to simplify aggregated Markov models of ion channel gating kinetics.利用独立的开放到关闭转变来简化离子通道门控动力学的聚集马尔可夫模型。
Proc Natl Acad Sci U S A. 2005 May 3;102(18):6326-31. doi: 10.1073/pnas.0409110102. Epub 2005 Apr 20.
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MCMC for hidden Markov models incorporating aggregation of states and filtering.用于包含状态聚合和滤波的隐马尔可夫模型的马尔可夫链蒙特卡罗方法
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Calcium regulation of single ryanodine receptor channel gating analyzed using HMM/MCMC statistical methods.使用隐马尔可夫模型/马尔可夫链蒙特卡罗统计方法分析单个兰尼碱受体通道门控的钙调节。
J Gen Physiol. 2004 May;123(5):533-53. doi: 10.1085/jgp.200308868.
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Applying hidden Markov models to the analysis of single ion channel activity.将隐马尔可夫模型应用于单离子通道活性分析。
Biophys J. 2002 Apr;82(4):1930-42. doi: 10.1016/S0006-3495(02)75542-2.
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Biophys J. 2001 Mar;80(3):1088-103. doi: 10.1016/S0006-3495(01)76087-0.