College Physics ›› 2021, Vol. 40 ›› Issue (4): 68-.doi: 10. 16854 / j. cnki. 1000-0712. 200244

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A stochastic dynamics model for the directional transport of kinesin

YANG Zi-bei,QIU Xing,CHEN Qiao-ni,WANG Hai-yan   

  1. Department of Physics,Beijing Normal University,Beijing 100875,China
  • Received:2020-06-11 Revised:2020-09-03 Online:2021-04-13 Published:2021-04-21

Abstract: In this paper,we consider the chemical-mechanical coupling of the kinesin in an

asymmetric peri- odic potential during stepping. Based on Brownian motor theory,we numerically

simulate the motion characteristics of kinesin under certain experimental conditions by MATLAB.

Firstly,we simulate the image of the displacement and velocity changing with time of a

single kinesin. Then we respectively calculate the average speed of several ki- nesin. Finally we

calculate the ensemble average of the speed of kinesin under different loads. The simulation

re- sults show that kinesin has waiting state and walking state in directional motion,the walking

step is about 8. 2 nm, and the motion has certain randomness. Comparing with the experimental

results,it is found that the calculated re- sults of the model are in good agreement with the

experimental results.

Key words: kinesin, directional transport, asymmetric periodic potential, chemical-mechanical coupling