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Enhanced cooperativity and collective force-velocity curves of interacting molecular motors

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

We study the collective behavior of ensembles of weakly coupled processive molecular motors subject to an external force. In the framework of a general two-state model, we demonstrate that if the external force is unequally loaded to the motors, they can generically cooperate constructively to perform more efficiently than separately. We show that, given a specific type of motor and an interaction potential, it is possible to define a limiting collective force-velocity curve which is extensive with the number of motors but may significantly differ from that of a single motor if interactions are short-ranged. For small ensembles of motors, collective force-velocity curves may exhibit surprising non-monotonic behavior. The effects and predictions are well understood with the help of exact analytical calculations and extensive numerical simulation. They are relevant in the general context of Browninan motors, but may be particularly useful to biological motors, in particular to monomeric kinesins.

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