Quantitative single-molecule three-color Förster resonance energy transfer by photon distribution analysis

Single-molecule Förster resonance energy transfer (FRET) is a powerful tool to study conformational dynamics of biomolecules. Using solution-based single-pair FRET by burst analysis, conformational heterogeneities and fluctuations of fluorescently labeled proteins or nucleic acids can be studied by monitoring a single distance at a time. Three-color FRET is sensitive to three distances simultaneously and can thus elucidate complex coordinated motions within single molecules. While three-color FRET has been applied on the single-molecule level before, a detailed quantitative description of the obtained FRET efficiency distributions is still missing. Direct interpretation of three-color FRET data is additionally complicated by an increased shot noise contribution when converting photon counts to FRET efficiencies. However, to address the question of coordinated motion, it is of special interest to extract information about the underlying distance heterogeneity, which is not easily extracted from the FRET efficiency histograms directly. Here, we present three-color photon distribution analysis (3C-PDA), a method to extract distributions of inter-dye distances from three-color FRET measurements. We present a model for diffusion-based three-color FRET experiments and apply Bayesian inference to extract information about the physically relevant distance heterogeneity in the sample. The approach is verified using simulated data sets and experimentally applied to triple-labeled DNA duplexes. Finally, 3C-FRET experiments on the Hsp70 chaperone BiP reveal conformational coordinated changes between individual domains. The possibility to address the co-occurrence of intramolecular distances makes 3C-PDA a powerful method to study the coordination of domain motions within biomolecules during conformational changes. Significance In solution-based single-molecule Förster resonance energy transfer (FRET) experiments, biomolecules are studied as they freely diffuse through the observation volume of a confocal microscope, resulting in bursts of fluorescence from single molecules. Using three fluorescent labels, one can concurrently measure three distances in a single molecule but the experimentally limited number of photons is not sufficient for a straight-forward analysis. Here, we present a probabilistic framework, called three-color photon distribution analysis (3C-PDA), to extract quantitative information from single-molecule three-color FRET experiments. By extracting distributions of interdye distances from the data, the method provides a three-dimensional description of the conformational space of biomolecules, enabling the detection of coordinated movements during conformational changes.