Accuracy of distance distributions and dynamics from single-molecule FRET

Single-molecule spectroscopy combined with Förster resonance energy transfer is widely used to quantify distance dynamics and distributions in biomolecules. Most commonly, measurements are interpreted using simple analytical relations between experimental observables and the underlying distance distributions. However, these relations make simplifying assumptions, such as a separation of timescales between interdye distance dynamics, fluorescence lifetimes, and dye reorientation, the validity of which is notoriously difficult to assess from experimental data alone. Here, we use experimentally validated long-timescale, all-atom explicit-solvent molecular dynamics simulations of a disordered peptide with explicit fluorophores for testing these assumptions, in particular the separation of the relevant timescales and the description of chain dynamics in terms of diffusion in a potential of mean force. Our results allow us to quantitatively assess the resulting errors; they indicate that, even outside the simple limiting regimes, the errors from common approximations in data analysis are generally smaller than the systematic uncertainty limiting the accuracy of Förster resonance energy transfer efficiencies. We also illustrate how the direct comparison between measured and simulated experimental data can be employed to optimize force field parameters and develop increasingly realistic simulation models.