By: Arturo Vesga, Steven Lee, Hannah Heil, Sophie Brasselet, Ezra Bruggeman, Tecnologia Química, Sam Daly, London London, Luis-Arturo-Aleman, Ricardo Henriques, Instituto Gulbenkian, Ciência Oeiras, Luis Aleman-Castaneda
Single-molecule orientation and localization microscopy (SMOLM) enables the determination of molecular orientation, wobbling, and position. However, most SMOLM implementations rely on complex point spread function (PSF) fitting, which limits analysis throughput and introduces high computational cost. A way to overcome these limitations is to simplify the analysis using a ratiometric intensity estimation, often relying on polarization projections. While effective in 2D, extending these methods to 3D remains challenging. Here, we introduce a new ratiometric strategy for SMOLM in 3D. Building on the principles of Single Molecule Light Field Microscopy, which captures the 3D position information from a single snapshot by segmenting the back focal plane, we extend this strategy to orientation retrieval. Our approach uses the generalized 3D Stokes formalism to linearly decompose the intensity measurements across the light-field channels, allowing computationally-efficient estimations, while avoiding both complex PSF fitting and polarization projections. This framework, called SMOLM-LFM, enables 6D estimation of single molecules (3D position + 3D orientation) with a simplified optical setup and a large depth-of-field. We present the theoretical foundations, experimental implementation, and validation through measurements on calibration beads, single fluorophores, and cells, thereby demonstrating the methods potential and practical limitations.
