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Issue 44, 2013
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Mesoscopic non-equilibrium thermodynamic analysis of molecular motors

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Abstract

We show that the kinetics of a molecular motor fueled by ATP and operating between a deactivated and an activated state can be derived from the principles of non-equilibrium thermodynamics applied to the mesoscopic domain. The activation by ATP, the possible slip of the motor, as well as the forward stepping carrying a load are viewed as slow diffusion along a reaction coordinate. Local equilibrium is assumed in the reaction coordinate spaces, making it possible to derive the non-equilibrium thermodynamic description. Using this scheme, we find expressions for the velocity of the motor, in terms of the driving force along the spacial coordinate, and for the chemical reaction that brings about activation, in terms of the chemical potentials of the reactants and products which maintain the cycle. The second law efficiency is defined, and the velocity corresponding to maximum power is obtained for myosin movement on actin. Experimental results fitting with the description are reviewed, giving a maximum efficiency of 0.45 at a myosin headgroup velocity of 5 × 10−7 m s−1. The formalism allows the introduction and test of meso-level models, which may be needed to explain experiments.

Graphical abstract: Mesoscopic non-equilibrium thermodynamic analysis of molecular motors

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Article information


Submitted
05 Jun 2013
Accepted
30 Sep 2013
First published
01 Oct 2013

Phys. Chem. Chem. Phys., 2013,15, 19405-19414
Article type
Paper

Mesoscopic non-equilibrium thermodynamic analysis of molecular motors

S. Kjelstrup, J. M. Rubi, I. Pagonabarraga and D. Bedeaux, Phys. Chem. Chem. Phys., 2013, 15, 19405
DOI: 10.1039/C3CP52339J

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