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首页> 美国卫生研究院文献>Proceedings of the Royal Society B: Biological Sciences >Estimating transition rates in aggregated Markov models of ion channel gating with loops and with nearly equal dwell times
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Estimating transition rates in aggregated Markov models of ion channel gating with loops and with nearly equal dwell times

机译：估计具有循环且具有几乎相同的停留时间的离子通道门控聚合马尔可夫模型的跃迁速率

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摘要

A typical task in the application of aggregated Markov models to ion channel data is the estimation of the transition rates between the states. Realistic models for ion channel data often have one or more loops. We show that the transition rates of a model with loops are not identifiable if the model has either equal open or closed dwell times. This non-identifiability of the transition rates also has an effect on the estimation of the transition rates for models which are not subject to the constraint of either equal open or closed dwell times. If a model with loops has nearly equal dwell times, the Hessian matrix of its likelihood function will be ill-conditioned and the standard deviations of the estimated transition rates become extraordinarily large for a number of data points which are typically recorded in experiments.
机译：将聚合马尔可夫模型应用于离子通道数据的典型任务是估算状态之间的跃迁速率。离子通道数据的现实模型通常具有一个或多个循环。我们表明，如果模型具有相等的打开或关闭停留时间，则无法确定带有循环的模型的转换率。过渡速率的这种不可识别性还影响了模型的过渡速率的估计，该模型不受开放时间或封闭时间相等的约束。如果具有回路的模型的停留时间几乎相等，则其似然函数的Hessian矩阵将处于不良状态，并且对于许多通常在实验中记录的数据点，估计的跃迁速率的标准偏差会变得异常大。

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