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Conventional kinesin walks by a hand-over-hand mechanism on the microtubule(MT) by taking $\sim$ 8$nm$ discrete steps, and consumes one ATP molecule perstep. The time needed to complete a single step is on the order of twentymicroseconds. We show, using simulations of a coarse-grained model of thecomplex containing the two motor heads, the MT, and the coiled coil that inorder to obtain quantitative agreement with experiments for the steppingkinetics hydrodynamic interactions (HI) have to be included. In simulationswithout hydrodynamic interactions spanning nearly twenty $\mu$s not a singlestep was completed in hundred trajectories. In sharp contrast, nearly 14\% ofthe steps reached the target binding site within 6$\mu$s when HI were included.Somewhat surprisingly, there are qualitative differences in the diffusionpathways in simulations with and without HI. The extent of movement of thetrailing head of kinesin on the MT during the diffusion stage of stepping isconsiderably greater in simulations with HI than in those without HI. Ourresults suggest that inclusion of HI is crucial in the accurate description ofmotility of other motors as well.

On the importance of hydrodynamic interactions in the stepping kinetics of kinesin