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Force-clamp spectroscopy of reversible bond breakage
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Figures

Image of FIG. 1.

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FIG. 1.

(a) Sketch of the envisioned transitions between the bond (A) and the unbound state (B); (b) a typical force-clamp trajectory from a simulation of Brownian dynamics in a double-well potential; (c) reaction rates in Kramers approximation as a function of external force; explicitly, one has and . We choose for the parameters , , , and . The rates for zero force are chosen as and . The dotted lines are the Bell-limit for the rates, i.e., the limit of large and of the above expressions: and . sets the time scale for all calculations.

Image of FIG. 2.

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FIG. 2.

Upper panel: Mean number of transitions vs time for the same parameters as in Fig. 1. The dots are results of kinetic Monte Carlo simulations. Inset: Slope vs external force. Lower panel: vs time for the same parameters as in Fig. 1. Inset: vs external force.

Image of FIG. 3.

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FIG. 3.

vs for the same parameters as in Fig. 1. The environmental fluctuations are modeled by the GM.

Image of FIG. 4.

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FIG. 4.

vs for the same parameters as in Fig. 1. The environmental fluctuations are modeled by the GM with . The lines are for different ; from bottom to top: 0.1, 0.2, 0.5, 1 [gray (red)]), 2, 5, and 10.

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/content/aip/journal/jcp/130/4/10.1063/1.3071199
2009-01-23
2014-04-17

Abstract

We consider reversible breaking of adhesionbonds or folding of proteins under the influence of a constant external force. We discuss the statistical properties of the unbinding/rebinding events and analyze their mean number and their variance in the framework of simple kinetic models. In the calculations, we explicitly exploit the analogy to single molecule fluorescence and particularly between unbinding/rebinding and photon emission events. Whereas for two-state behavior Poisson or sub-Poisson statistics of the events is found, we show that for more general kinetic schemes also super-Poisson statistics can occur. Temporal fluctuations of the transition rates, a hallmark for the presence of dynamic disorder, should become experimentally accessible via the determination of the second moment of the event-number distribution.

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Scitation: Force-clamp spectroscopy of reversible bond breakage
http://aip.metastore.ingenta.com/content/aip/journal/jcp/130/4/10.1063/1.3071199
10.1063/1.3071199
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