| Molecular motor or called motor protein, is an important protein in the complexly dynamic process of biological processes. The molecular motor can efficiently convert chemical energy into mechanical energy and generate directional movement. After more than 150 years of research, with the increasingly closer cross research and breakthrough progress in the past 20 years, it is destined to become one of the main contents of the basic research in this century.The study of biological molecular motors is essentially to know and understand the basic laws of the mechanism in the level of individual molecular motors. Thus, it is significant to be applied to restore the network of interactions of molecular motors to life process, realize the application of bionic, use nano-materials to nano-manufacture life science. The cargos in the cell usually need numbers and many kinds of molecular motors to complete transportation with each other, and it is important to discover the law of the movement of the life.In this paper, a single molecular motor is modeled as a linear spring, and its tail is irreversible combined with the cargo, its head is bound to the microtubule grid point and can move forward or backward. In the tug-of-war model of molecular motors, cargos as a whole, is under of the load force towards one pole of microtubule, and is considered to balance the motion state in a very short time. In the model, the tail of the molecular motor is fixed, the binding rate of head is constant, and the detachment rate and the forward (backward) rate depends on the motor load force.Based on the assumptions above, we build the structure of network dynamics model of molecular motor to 1 to 1 tug-of-war, respectively. The analytic calculation and numerical simulation results show that the molecular motor binding rate and detach force plays an important role in winner of win or lose the tug-of-war. The model give the of quantitative interpretation for recent experiments.The results of the study can help to understand the relevant functions of cells and subcellular, and it has a certain reference value for the research of molecular motor and related experiments. |