Inverse Problems of Single Molecule Localization Microscopy
Abstract
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.
Cite
@article{arxiv.2002.01741,
title = {Inverse Problems of Single Molecule Localization Microscopy},
author = {Montse Lopez-Martinez and Gwenael Mercier and Kamran Sadiq and Otmar Scherzer and Magdalena Schneider and John C Schotland and Gerhard J. Schütz and Roger Telschow},
journal= {arXiv preprint arXiv:2002.01741},
year = {2020}
}
Comments
38 pages, 10 figures