Inverse Problems of Single Molecule Localization Microscopy

Montse Lopez-Martinez, Gwenael Mercier (), Kamran Sadiq (), Otmar Scherzer (), Magdalena Schneider (), John C. Schotland (), Gerhard J. Schütz () and Roger Telschow ()
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Montse Lopez-Martinez: TU-Wien, Institute of Applied Physics
Gwenael Mercier: University of Vienna, Faculty of Mathematics
Kamran Sadiq: Johann Radon Institute for Computational and Applied Mathematics (RICAM)
Otmar Scherzer: University of Vienna, Faculty of Mathematics
Magdalena Schneider: TU-Wien, Institute of Applied Physics
John C. Schotland: University of Michigan, Department of Mathematics and Department of Physics
Gerhard J. Schütz: TU-Wien, Institute of Applied Physics
Roger Telschow: University of Vienna, Faculty of Mathematics

A chapter in Time-dependent Problems in Imaging and Parameter Identification, 2021, pp 323-376 from Springer

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57784-1_12

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DOI: 10.1007/978-3-030-57784-1_12

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