驱动马达定向运动的随机动力学模型

本文在非对称周期势中考虑驱动马达的机械化学耦合,基于布朗马达的工作原理,利用MATLAB数值模拟驱动马达在一定实验条件下的运动特征.我们首先模拟了单个驱动马达的位移和速度随时间变化的图像,然后分别计算了多个驱动马达运动的平均速度,最后计算了不同负载力条件下马达运动速度的系综平均值.模拟结果表明驱动马达在定向运动中存在等待态和行走态,行走步长约为8.2nm,且马达运动具有一定的随机性.通过与实验比较,发现模型计算结果与实验吻合.

A stochastic dynamics model for the directional transport of kinesin

In this paper,we consider the chemical-mechanical coupling of the kinesin in an asymmetric periodic 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 kinesin.Finally we calculate the ensemble average of the speed of kinesin under different loads.The simulation results 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 results of the model are in good agreement with the experimental results.