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The diffusion of a molecular motor in the presence of a constant externalforce is considered on the basis of a simple theoretical model. The motor isrepresented by a Brownian particle moving in a series of parabolic potentialsplaced periodically on a line, and the potential is switched stochasticallyfrom one parabola to another by a chemical reaction, which corresponds to theATP hydrolysis or synthesis in motor proteins. It is found that the diffusioncoefficient as a function of the force exhibits peaks. The mechanism of thisdiffusion enhancement and the possibility of observing it in F1-ATPase, abiological rotary motor, are discussed.

Enhanced diffusion of molecular motors in the presence of adenosine triphosphate and external force