A state space based approach to localizing single molecules from multi-emitter images.

Area of Science:

• Biophysics
• Optical Microscopy
• Computational Imaging

Background:

• Single molecule super-resolution microscopy achieves sub-diffraction limit resolution.
• Current methods separate fluorophore detection and localization steps.
• Accurate localization is crucial for high-resolution cellular imaging.

Purpose of the Study:

• To develop a novel, integrated localization method for single molecule super-resolution microscopy.
• To enhance the accuracy of single molecule localization.
• To validate the method with simulated and experimental data.

Main Methods:

• A novel method combining detection and estimation steps for fluorophore localization.
• Modeling the image as a frequency response using balanced state space realization and SVD of a Hankel matrix.
• Using estimated peak locations as initial conditions for a maximum likelihood estimator.

Main Results:

• The proposed method accurately determines single molecule locations by identifying system pole locations.
• Refined estimates using maximum likelihood estimation approach the Cramér-Rao lower bound.
• Validation with simulated and experimental multi-emitter images demonstrates method efficacy.

Conclusions:

• The integrated localization method offers improved accuracy in single molecule super-resolution microscopy.
• The approach provides a more efficient and precise way to localize single molecules.
• This technique advances high-resolution imaging of cellular structures.