Master Equation Approach to Molecular Motors

Details Master Equation Approach to Molecular Motors Master Equation Approach to Molecular Motors

2001-08-27

arxiv.org/abs/cond-mat/0108427v1

Phys. Rev. E 64, 061905 (2001)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.64.061905

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.

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