Characterizing the Resistance Generated by a Molecular Bond as It Is Forcibly Separated

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 c...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the National Academy of Sciences of the United States of America. - National Academy of Sciences of the United States of America. - 106(2009), 22, Seite 8818-8823
1. Verfasser:	Freund, L. B. (VerfasserIn)
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2009
Zugriff auf das übergeordnete Werk:	Proceedings of the National Academy of Sciences of the United States of America
Schlagworte:	Kramers' theory force spectroscopy bond survival probability Physical sciences Mathematics Applied sciences


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245	1	0	\|a Characterizing the Resistance Generated by a Molecular Bond as It Is Forcibly Separated
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520			\|a 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.
540			\|a Copyright 1993-2008 National Academy of Sciences of the United States of America
650		4	\|a Kramers' theory
650		4	\|a force spectroscopy
650		4	\|a bond survival probability
650		4	\|a Physical sciences \|x Chemistry \|x Chemical bonding
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Distribution functions \|x Probability distributions
650		4	\|a Physical sciences \|x Physics \|x Energy
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Geometric shapes \|x Curves \|x Asymptotes \|x Asymptotic value
650		4	\|a Mathematics \|x Mathematical procedures \|x Approximation
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Inferential statistics \|x Time dependence
650		4	\|a Applied sciences \|x Materials science \|x Material properties \|x Mechanical properties \|x Stiffness
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Coordinate systems
650		4	\|a Mathematics \|x Mathematical problems \|x Boundary value problems
650		4	\|a Mathematics \|x Pure mathematics \|x Calculus \|x Differential calculus \|x Differential equations \|x Partial differential equations
650		4	\|a Physical sciences \|x Chemistry \|x Chemical bonding
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Distribution functions \|x Probability distributions
650		4	\|a Physical sciences \|x Physics \|x Energy
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Geometric shapes \|x Curves \|x Asymptotes \|x Asymptotic value
650		4	\|a Mathematics \|x Mathematical procedures \|x Approximation
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Inferential statistics \|x Time dependence
650		4	\|a Applied sciences \|x Materials science \|x Material properties \|x Mechanical properties \|x Stiffness
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Coordinate systems
650		4	\|a Mathematics \|x Mathematical problems \|x Boundary value problems
650		4	\|a Mathematics \|x Pure mathematics \|x Calculus \|x Differential calculus \|x Differential equations \|x Partial differential equations
655		4	\|a research-article
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773	1	8	\|g volume:106 \|g year:2009 \|g number:22 \|g pages:8818-8823
856	4	0	\|u https://www.jstor.org/stable/40482772 \|3 Volltext
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