Master Equation Approach to Molecular Motors

Abstract

A master equation approach to molecular motors allows to describe a mechano-chemical cyclic system where chemical and translational degrees of freedom are treated on an equal footing. A generalized detailed balance condition in the out of equilibrium regime is shown to be compatible with the Fokker-Planck equation in the continuum limit. The Onsager reciprocity relations hold for stationary states close to equilibrium, provided the generalized detailed balance condition is satisfied. Semi-phenomenological considerations in the case of motor proteins lead to a discrete kinetics model, for which interesting observable quantities can be directly calculated and compared with experimental data.

12 pages, 3 figures, editorially approved for publication on Physical Review E

References in corpus (1)

• Force Dependence of the Michaelis Constant in a Two-State Ratchet Model for Molecular Motors

Cited by in corpus (8)

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• Energy Transfer in a Molecular Motor in Kramers' Regime
• Renewal processes and fluctuation analysis of molecular motor stepping
• A Tight-Binding Approach to Overdamped Brownian Motion on a Multidimensional Tilted Periodic Potential
• Polymer dynamics in time-dependent periodic potentials
• Characteristics of the polymer transport in ratchet systems
• Limit properties of periodic one dimensional hopping model
• Reduction of periodic one-dimensional hopping model