Information Optimal Control for Single Particle Tracking Microscopy

Theoretical comparison of real-time feedback-driven single-particle tracking techniques

Real-time feedback-driven single-particle tracking is a technique that uses feedbackcontrol to enable single-molecule spectroscopy of freely diffusing particles in nativeor near-native environments. A number of different RT-FD-SPT approaches exist,and comparisons between methods based on experimental results are of limited usedue to differences in samples and setups. In this study, we used statistical calcu-lations and dynamical simulations to directly compare the performance of differentmethods. The methods considered were the orbital method, the Knight's Tour (gridscan) method and MINFLUX, and we considered both fluorescence-based and inter-ferometric scattering (iSCAT) approaches. There is a fundamental trade-off betweenprecision and speed, with the Knight's Tour method being able to track the fastestdiffusion but with low precision, and MINFLUX being the most precise but onlytracking slow diffusion. To compare iSCAT and fluorescence, different biologicalsamples were considered, including labeled and intrinsically fluorescent samples. Thesuccess of iSCAT as compared to fluorescence is strongly dependent on the particlesize and the density and photophysical properties of the fluorescent particles. Usinga wavelength for iSCAT that is negligibly absorbed by the tracked particle allowsan increased illumination intensity, which results in iSCAT providing better trackingfor most samples. This work highlights the fundamental aspects of performance inRT-FD-SPT and should assist with the selection of an appropriate method for a par-ticular application. The approach used can easily be extended to other RT-FD-SPTmethods.

Real-Time Feedback-Driven Single-Particle Tracking: A Survey and Perspective

Real-time feedback-driven single-particle tracking (RT-FD-SPT) is a class of techniques in the field of single-particle tracking that uses feedback control to keep a particle of interest in a detection volume. These methods provide high spatiotemporal resolution on particle dynamics and allow for concurrent spectroscopic measurements. This review article begins with a survey of existing techniques and of applications where RT-FD-SPT has played an important role. Each of the core components of RT-FD-SPT are systematically discussed in order to develop an understanding of the trade-offs that must be made in algorithm design and to create a clear picture of the important differences, advantages, and drawbacks of existing approaches. These components are feedback tracking and control, ranging from simple proportional-integral-derivative control to advanced nonlinear techniques, estimation to determine particle location from the measured data, including both online and offline algorithms, and techniques for calibrating and characterizing different RT-FD-SPT methods. Then a collection of metrics for RT-FD-SPT is introduced to help guide experimentalists in selecting a method for their particular application and to help reveal where there are gaps in the techniques that represent opportunities for further development. Finally, this review is concluded with a discussion on future perspectives in the field.