DATA TRANSFORMATIONS FOR IMPROVED DISPLAY AND FITTING OF SINGLE-CHANNEL DWELL TIME HISTOGRAMS
DATA TRANSFORMATIONS FOR IMPROVED DISPLAY AND FITTING OF SINGLE-CHANNEL DWELL TIME HISTOGRAMS
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DOI：
10.1016/s0006-3495(87)83298-8
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发表时间：
1987-12-01
影响因子：
3.4
通讯作者：
SINE, SM
中科院分区：
文献类型：
--
作者：
SIGWORTH, FJ;SINE, SM
A. L. 布拉茨和K. L. 马格比（1986a.《生理学杂志》[伦敦]，378卷：141 - 174页）已经证明了绘制带有对数时间轴的直方图对于展示单离子通道记录的驻留时间分布是有用的。我们在此推导出与对数分组直方图相对应的概率密度函数（pdf）。在对数时间尺度上绘制时，概率密度函数是一个具有恒定宽度的峰值函数；概率密度函数的这个以及其他特性，再加上对纵坐标进行的方差稳定（平方根）变换，极大地简化了对包含多个指数成分的分布的解释和手动拟合。我们还通过最大似然法研究了从对数分组数据中估计动力学参数时的统计误差。使用分组数据极大地加快了拟合过程，并且只有当每十倍频程的分组间隔大于8 - 16时才会引入显著误差。
A. L. Blatz and K. L. Magleby (1986a. J. Physiol. [Lond.]. 378:141-174) have demonstrated the usefulness of plotting histograms with a logarithmic time axis to display the distributions of dwell times from recordings of single ionic channels. We derive here the probability density function (pdf) corresponding to logarithmically binned histograms. Plotted on a logarithmic time scale the pdf is a peaked function with an invariant width; this and other properties of the pdf, coupled with a variance-stabilizing (square root) transformation for the ordinate, greatly simplify the interpretation and manual fitting of distributions containing multiple exponential components. We have also examined the statistical errors in estimation, by the maximum-likelihood method, of kinetic parameters from logarithmically binned data. Using binned data greatly accelerates the fitting procedure and introduces significant errors only for bins spaced more widely than 8-16 per decade.