Directional Movement Mechanism Of Molecular Motors

Molecular motors are cellular proteins able of converting chemical energy of ATP into mechanical force with high efficiency. Most of the life activities depend on the motor protein and mechanical work it does. The energy source of the cell is hydrolization of ATP, thereby generating directional motion. In this procedure, molecular dynamical mechanics which adjoint with hydrolization of ATP received extensive interests.In the scale of molecule, the movement of the proteins has the features of Brownian movement. So we can take molecular motor as a Brownian particle in the case of ignoring the conformational changes. We can use nonequilibrium statistical theory to explain the working mechanics of molecular motor in the realm of physics. The effect of the environment can be simplified as a noise while the interactions between molecular motor and its tracks can be described by a special potential.At first, in the thesis of ours, the structures of several kinds of well known motors and their cycle of ATP hydrolization were introduced briefly. Secondly, we give out the Master Equation and Langevin Equation which were commonly used to explain the work mechanics of molecular motor. Then we discussed two numerical methods to solve stochastic differential equation: Runge-Kutta algorithms and Monte Carlo Simulations, with these we give out a simple example to display how to use them. In part three, we introduce some special model of molecular motors. Finally, we give out the two dimensions flashing potential model under white noise, we analysis the current behaviors under different environment variables.