论文标题
单分子定位显微镜的逆问题
Inverse Problems of Single Molecule Localization Microscopy
论文作者
论文摘要
单分子定位显微镜是一种最近开发的上分辨率成像技术,可视化单细胞的结构特性。基本原理包括将荧光染料连接到分子上,在用强激光激发后可能会发出光。为了达到上分辨率,单个荧光团的信号随时间分离。在本文中,我们遵循物理和化学文献,并得出数学模型,描述了通过麦克斯韦方程进行的单分子定位显微镜实验中染料发出的光的传播。这构成了制定与单分子定位显微镜相关的逆问题的基础。我们还表明,重建方法的当前状态简化了麦克斯韦方程的更一般的反问题,如下所述。
Single molecule localization microscopy is a recently developed superresolution imaging technique to visualize structural properties of single cells. The basic principle consists in chemically attaching fluorescent dyes to the molecules, which after excitation with a strong laser may emit light. To achieve superresolution, signals of individual fluorophores are separated in time. In this paper we follow the physical and chemical literature and derive mathematical models describing the propagation of light emitted from dyes in single molecule localization microscopy experiments via Maxwell's equations. This forms the basis of formulating inverse problems related to single molecule localization microscopy. We also show that the current status of reconstruction methods is a simplification of more general inverse problems for Maxwell's equations as discussed here.