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We investigate by analytical means the stochastic equations of motion of alinear molecular motor model based on the concept of protein friction. Solvingthe coupled Langevin equations originally proposed by Mogilner et al. (A.Mogilner et al., Phys. Lett. {\bf 237}, 297 (1998)), and averaging over boththe two-step internal conformational fluctuations and the thermal noise, wepresent explicit, analytical expressions for the average motion and thevelocity-force relationship. Our results allow for a direct interpretation ofdetails of this motor model which are not readily accessible from numericalsolutions. In particular, we find that the model is able to predictphysiologically reasonable values for the load-free motor velocity and themotor mobility.Comment: 12 pages revtex, 6 eps-figure

Exact solution of a linear molecular motor model driven by two-step fluctuations and subject to protein friction