Kramers-like turnover in load-dependent activated dynamics

Recent advancement of experimental techniques at the single molecule level has demonstrated how an external load affects a chemical reaction which controls the transport of biological motor proteins. Majority of these studies are concerned with thermodynamically open systems. We have examined a prot...

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Bibliographic Details
Published in:The Journal of chemical physics 2009-07, Vol.131 (2), p.024110-024110-5
Main Authors: Mondal, Debasish, Ghosh, Pulak Kumar, Ray, Deb Shankar
Format: Article
Language:English
Subjects:
Algorithms
Elasticity
Kinetics
Models, Biological
Particle Size
Proteins - chemistry
Proteins - physiology
Viscosity
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Summary:Recent advancement of experimental techniques at the single molecule level has demonstrated how an external load affects a chemical reaction which controls the transport of biological motor proteins. Majority of these studies are concerned with thermodynamically open systems. We have examined a prototype model reaction in terms of inertial Brownian motion of a particle in a force field subjected to an overdamped motion of a viscous load coupled harmonically to the particle. A general analytical expression for the rate constant has been derived to demonstrate that depending on the strength of harmonic coupling and drag coefficient of the load a Kramers-like turnover can be realized in the spatial diffusion-limited regime. The turnover reduces to a crossover between the two states characterized by zero-load and finite load conditions.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.3159613