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Physical Review E

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Analytical theory of the stochastic dynamics of the power stroke in nonprocessive motor proteins

H. J. Woo^* and Christopher L. Moss

Department of Chemistry, University of Nevada, Reno, Nevada 89557, USA

^*Author to whom correspondences should be addressed. Email address: woo@chem.unr.edu

Phys. Rev. E 72, 051924 – Published 28 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.051924

Abstract

Statistical distributions of the structural states of individual molecules of nonprocessive motor complexes such as actomyosins are examined theoretically by considering a two-state stochastic model coupled by chemical reactions along the reaction coordinate representing the internal conformational states of the motor. The use of a conformational reaction coordinate allows for the approximation of taking the rate constants as local in their dependence on the reaction coordinate, and yields a simple analytic solution of the stationary states. The approximation is also tested against numerical solutions with a nonlocal form of rate constants. The theory is well-suited for computational treatments based on atomic structures of protein constituents using free energy molecular dynamics simulations. With empirical sets of free energy functions, stationary distributions of forces exerted by a motor head compare well with known experimental data.

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