SFB 755 - Nanoscale Photonic Imaging

A06 - Statistical reconstruction methods for time varying nanoscale imaging problems

Statistical reconstruction methods for time varying nanoscale imaging problems
The aim of this project is the development of rigorous statistical analysis methods for single marker switching (SMS) nanoscopy and their experimental verification. This will be built on the one hand on the development of a statistical physical model for SMS nanoscopy and on the other hand on the development of specific alignment methods for long sequences of spatially and temporally highly resolved images, where in each image only a sparse random fragment of the sample is visible. This will pave the way to our long term goal: quantitative superresolution imaging with given statistical precision for the estimation of absolute fluorophore concentration, respectively molecule numbers, intramolecular transition rates and dark state lifetimes.

Members of this project:

Prof. Dr. Axel Munk
PD Dr. Alexander Egner
Dipl. Phys. Oskar Laitenberger
M. Sc. Anne Hein

Associated members of this project:
PD Dr. Timo Aspelmeier
Dr. Claudia Geisler


Publications:
Tameling, C., Sommerfeld, M. and Munk, A. (2017)
Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications

Munk, A. (2017)
Using nanostatistics to determine the functions of cells at a molecular level
Research Features Magazine: 56-57

HUCKEMANN, S., KIM, K.-R., MUNK, A., REHFELDT, F., SOMMERFELD, M., WEICKERT, J. and WOLLNIK, C. (2016)
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation
Bernoulli, 22(4): 2113?2142, DOI:10.3150/15-BEJ722

Aspelmeier, T., Egner, A. and Munk, A. (2015)
Modern Statistical Challenges in High-Resolution Fluorescence Microscopy
Annual Review of Statistics and Its Application, 2: 163-202, DOI:10.1146/annurev-statistics-010814-020343

Hafi, N., Grunwald, M., van den Heuvel, L. S., Aspelmeier, T., Chen, J.-H., Zagrebelsky, M., Schütte, O. M., Steinem, C., Korte, M., Munk, A. and Walla, P. J. (2014)
Fluorescence nanoscopy by polarization modulation and polarization angle narrowing.
Nat. Methods, 11(5): 579-84, DOI:10.1038/nmeth.2919

Hartmann, A., Huckemann, S., Dannemann, J., Laitenberger, O., Geisler, C., Egner, A. and Munk, A. (2014)
Drift Estimation in Sparse Sequential Dynamic Imaging: with Application to Nanoscale Fluorescence Microscopy
arXivopen access,

Li, H., Haltmeier, M., Zhang, S., Frahm, J. and Munk, A. (2013)
Aggregated motion estimation for real-time MRI reconstruction.
Magn. Reson. Med., 1048: 1039-1048, DOI:10.1002/mrm.25020

Yalunin, S. V., Herink, G., Solli, D. R., Krüger, M., Hommelhoff, P., Diehn, M., Munk, A. and Ropers, C. (2013)
Field localization and rescattering in tip-enhanced photoemission
Ann. Phys., 525(1-2): L12-L18, DOI:10.1002/andp.201200224

Geisler, C., Hotz, T., Schönle, A., Hell, S. W., Munk, A. and Egner, A. (2012)
Drift estimation for single marker switching based imaging schemes.
Opt. Express, 20(7): 7274-89

Aquino, D., Schönle, A., Geisler, C., Middendorff, C. V., Wurm, C. a., Okamura, Y., Lang, T., Hell, S. W. and Egner, A. (2011)
Two-color nanoscopy of three-dimensional volumes by 4Pi detection of stochastically switched fluorophores.
Nat. Methods, 8(4): 353-9, DOI:10.1038/nmeth.1583