Limit of the Accuracy of Parameter Estimation for Moving Single Molecules Imaged by Fluorescence Microscopy.
Limit of the Accuracy of Parameter Estimation for Moving Single Molecules Imaged by Fluorescence Microscopy.
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DOI：
10.1109/tsp.2010.2098403
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Ober RJ
中科院分区：
文献类型：
--
作者：
Wong Y;Lin Z;Ober RJ
在本文中，我们考虑的问题的准确性估计的位置和其他属性的一个移动的单分子的轨迹是由荧光显微镜成像。由于参数估计的精度与Fisher信息矩阵密切相关，我们首先给出了三维（3D）空间中单个目标估计参数的Fisher信息矩阵的一般表达式。显式Cramér-Rao下界（CRLB）表达式，然后从Fisher信息矩阵中获得的一个单一的对象在二维（2D）的焦点平面移动的对象轨迹是线性或圆形。我们还研究了外部噪声源，像素，检测系统的参数和轨迹的参数如何影响精度的极限。本文中获得的结果提供了见解，使实验人员能够优化他们的实验设置，以跟踪单个分子，以达到最佳的准确性。它们也适用于使用量子有限探测器跟踪物体的一般问题。
In this paper, we consider the problem of the accuracy of estimating the location and other attributes of a moving single molecule whose trajectory is imaged by fluorescence microscopy. As accuracy in parameter estimation is closely related to the Fisher information matrix, we first give a general expression of the Fisher information matrix for the estimated parameters for a single object moving in three-dimensional (3D) space. Explicit Cramér-Rao lower bound (CRLB) expressions are then obtained from the Fisher information matrix for a single object moving in the two-dimensional (2D) focus plane with the object trajectory being either linear or circular. We also investigate how extraneous noise sources, pixelation, parameters of the detection system and parameters of the trajectory affect the limit of the accuracy. The results obtained in this paper provide insights that enable the experimentalists to optimize their experimental setups for tracking single molecules in order to achieve the best possible accuracy. They are also applicable to the general problem of tracking an object using quantum limited detectors.