Localizing single molecules in three dimensions - a brief review.

Sripad Ram, Prashant Prabhat, Jerry Chao, Anish V Abraham, E Sally Ward, Raimund J Ober
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Abstract

Single molecule tracking in three dimensions (3D) in a live cell environment holds the promise of revealing important new biological insights. However, conventional microscopy based imaging techniques are not well suited for fast 3D tracking of single molecules in cells. Previously we developed an imaging modality multifocal plane microscopy (MUM) to image fast intracellular dynamics in 3D in live cells. Recently, we have reported an algorithm, the MUM localization algorithm (MUMLA), for the 3D localization of point sources that are imaged using MUM. Here, we present a review of our results on MUM and MUMLA. We have validated MUMLA through simulated and experimental data and have shown that the 3D-position of quantum dots (QDs) can be determined with high spatial accuracy over a wide spatial range. We have calculated the Cramer-Rao lower bound for the problem of determining the 3D location of point sources from MUM and from conventional microscopes. Our analyses shows that MUM overcomes the poor depth discrimination of the conventional microscope, and thereby paves the way for high accuracy tracking of nanoparticles in a live cell environment. We have also shown that the performance of MUMLA comes consistently close to the Cramer-Rao lower bound.

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单分子的三维定位——综述。
在活细胞环境中进行三维(3D)单分子跟踪有望揭示重要的新生物学见解。然而,传统的基于显微镜的成像技术并不适合于细胞中单个分子的快速3D跟踪。之前,我们开发了一种成像模式多焦平面显微镜(MUM),在活细胞中以3D方式快速成像细胞内动力学。最近,我们报道了一种使用MUM成像的点源的三维定位算法,即MUM定位算法(MUMLA)。在这里,我们介绍了我们对MUM和MUMLA的研究结果。我们通过模拟和实验数据验证了MUMLA,并表明量子点(QDs)的3d位置可以在很宽的空间范围内以很高的空间精度确定。我们计算了从MUM和从传统显微镜确定点源三维位置问题的Cramer-Rao下界。我们的分析表明,MUM克服了传统显微镜的深度识别能力差,从而为在活细胞环境中高精度跟踪纳米颗粒铺平了道路。我们还表明,MUMLA的性能始终接近Cramer-Rao下界。
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