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Analysis of bond rupture data from single-molecule force spectroscopyexperiments commonly relies on the strong assumption that the bond dissociationprocess is irreversible. However, with increased spatiotemporal resolution ofinstruments it is now possible to observe multiple unbinding-rebinding eventsin a single pulling experiment. Here, we augment the theory of force-inducedunbinding by explicitly taking into account rebinding kinetics, and provideapproximate analytic solutions of the resulting rate equations. Furthermore, weuse a short-time expansion of the exact kinetics to construct numericallyefficient maximum likelihood estimators for the parameters of theforce-dependent unbinding and rebinding rates, which pair well with andcomplement established methods, such as the analysis of rate maps. We providean open-source implementation of the theory, evaluated for Bell-like rates,which we apply to synthetic data generated by a Gillespie stochastic simulationalgorithm for time-dependent rates.

Rebinding kinetics from single-molecule force spectroscopy experiments close to equilibrium