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We have developed a two dimensional stochastic molecular dynamics model forthe description of intra cellular collective motion of bio motors, inparticular Kinesins, on a microtubular track. The model is capable orreproducing the hand-over-hand mechanism of the directed motion along themicrotubule. The model gives the average directed velocity and the current ofKinesins along the microtubule. It is shown that beyond a certain density ofKinesins, the average velocity and current undergo notable decrease which isdue to formation of traffic jams in the system.

Computational modelling of the collective stochastic motion of Kinesin nano motors