Elastically coupled molecular motors

Details Elastically coupled molecular motors Elastically coupled molecular motors

1997-11-25

arxiv.org/abs/cond-mat/9711262v2

Eur. Phys. J. B 3, 535-546 (1998)

Physics

Condensed Matter

Soft Condensed Matter

REVTeX, 13 pages, 11 figures; presentation improved; to appear in European Physical Journal B; a Java applet showing the simul

Scientific paper

10.1007/s100510050343

We study the influence of filament elasticity on the motion of collective molecular motors. It is found that for a backbone flexibility exceeding a characteristic value (motor stiffness divided through the mean displacement between attached motors), the ability of motors to produce force reduces as compared to rigidly coupled motors, while the maximum velocity remains unchanged. The force-velocity-relation in two different analytic approximations is calculated and compared with Monte-Carlo simulations. Finally, we extend our model by introducing motors with a strain-dependent detachment rate. A remarkable crossover from the nearly hyperbolic shape of the Hill curve for stiff backbones to a linear force-velocity relation for very elastic backbones is found. With realistic model parameters we show that the backbone flexibility plays no role under physiological conditions in muscles, but it should be observable in certain in vitro assays.

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