The Research On The Directed Motion Of Molecular Motor At The Asymmetry And Periodic Electric Field

Molecular motors are one kind of enzyme proteins which exist in cells and play an important role in the process of muscle contraction, intracellular transport, DNA duplication, mitosis and so on. The energy for the motion of the motors comes from the chemical energy of ATP hydrolyzation.On the condition of the bioelectric field, the motors act as the energy transducer and the motors can transduce the chemical energy into mechanical work.The main sport in the cell is based on the directed motion of the molecular motor. How does molecular motor work? What is dynamics mechanism of directed motion? This arise interests of many biologists, physists and chemists.The work is finished at the spark of the double significance. The research on the molecular motor is significant to the biology, nano-science, the biology medicine engineering and the statistical physics. The paper analyzed the effective electric potential field and the current, the high load force and the escape rate affect the directed motion of molecular mtor. The productions of the paper are as follow:First, based on the asymmetry and period of the microtubule, we study the electric interaction between molecular motor and the microtubule.The results indicate that the current is not only relevant with the slope of the effective potential but also with the height of the effective potential.Second, we make master equation to construct the four-state master equation and discuss the velocity and the diffusion coefficient of the molecular motor at the high loads. The calculation results are qualitative accord with the experiment results.Third, master equation is used in the paper under the condition of dissociation rate to study the directed motion of molecular motor. The drift velocity, the diffusion constant, the dwell time and the mean length of the motor are calculated. We found the dissociation rate affects the directed motion of the molecular motor. We found the drift velocity and the diffusion coefficient is smaller under under nonzero escape rates than that under the zero escape rates, but the dwell time is larger. The length of molecular motor move on the microtubule is decreased with the increase of the escape rate.