I. Derenyi et T. Vicsek, THE KINESIN WALK - A DYNAMIC-MODEL WITH ELASTICALLY COUPLED HEADS, Proceedings of the National Academy of Sciences of the United Statesof America, 93(13), 1996, pp. 6775-6779
Recently individual two-headed kinesin molecules have been studied In
in vitro motility assays revealing a number of their peculiar transpor
t properties. In this paper we propose a simple and robust model for t
he kinesin stepping process with elastically coupled Brownian heads th
at show all of these properties, The analytic and numerical treatment
of our model results in a very good fit to the experimental data and p
ractically has no free parameters. Changing the values of the paramete
rs in the restricted range allowed by the related experimental estimat
es has almost no effect on the shape of the curves and results mainly
in a variation of the zero load velocity that can be directly fitted t
o the measured data, In addition, the model is consistent with the mea
sured pathway of the kinesin ATPase.