Characterizing the resistance generated by a molecular bond as it is forcibly separated
- 2 June 2009
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences of the United States of America
- Vol. 106 (22), 8818-8823
- https://doi.org/10.1073/pnas.0903003106
Abstract
The goal of measurements of the resisting force generated by a molecular bond as it is being forcibly separated under controlled conditions is to determine functional characteristics of the bond. Here, we establish the dependence of force history during unbinding on both those parameters chosen to characterize the bond itself and the controllable loading parameters. This is pursued for the practical range of behavior in which unbinding occurs diffusively rather than ballistically, building on the classic work of Kramers. For a bond represented by a one-dimensional energy landscape, modified by a second time-dependent energy profile representing applied loading, we present a mathematical analysis showing the dependence of the resistance of the bond-on-bond well shape, general time dependence of the imposed loading, and stiffness of the loading apparatus. The quality of the result is established through comparison with full numerical solutions of the underlying Smoluchowski equation.This publication has 14 references indexed in Scilit:
- Theory, analysis, and interpretation of single-molecule force spectroscopy experimentsProceedings of the National Academy of Sciences of the United States of America, 2008
- Extending Bell's Model: How Force Transducer Stiffness Alters Measured Unbinding Forces and Kinetics of Molecular ComplexesBiophysical Journal, 2008
- Predicting the Rupture Probabilities of Molecular Bonds in SeriesBiophysical Journal, 2007
- Intrinsic Rates and Activation Free Energies from Single-Molecule Pulling ExperimentsPhysical Review Letters, 2006
- Kinetics from Nonequilibrium Single-Molecule Pulling ExperimentsBiophysical Journal, 2003
- Dynamic strength of molecular adhesion bondsBiophysical Journal, 1997
- Reaction-rate theory: fifty years after KramersReviews of Modern Physics, 1990
- Models for the Specific Adhesion of Cells to CellsScience, 1978
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Brownian motion in a field of force and the diffusion model of chemical reactionsPhysica, 1940