The Investigation Of Coupled Chemomechanics Dynamics For The Biological Molecular Motor

Biological molecule motor is a nanoscale miniature motor system composed of biological macromolecules which converts chemical energy to mechanical energy. Dynamic characteristics directly decide its working mechanism and characteristics. Because present research for biological molecule motor is mainly based on biological or chemical aspects, and seldom consider its deformation in the rotation and the influence of the chemomechanical coupling. Therefore, in this paper, chemomechanical coupling dynamics problem of the F₁-ATPase motor is systematically discussed.Considering F₁-ATPase motor as research object, the F₁-ATPase dynamic model is proposed. The natural frequencies and vibration modes of the F₁-ATPase are investigated. The influences of parameters on the principal mode are analyzed. By means of mode superposition method, the stochastic response of the system under thermal excitation is obtained. Besides it, the RMS value ofγsubunit wave is obtained.The formula of the rotating speed and time are deduced, and their affecting factors and the changes along with them are analyzed, the time error without considering chemomechanical coupling is analyzed.When nonlinearity of shear modulus is considered, the nonlinear free vibration, forced vibration near to natural frequency, far from natural frequency and sub-harmonic response are analyzed by perturbation method.Using equivalent linearization method, the nonlinear stochastic response of the F₁-ATPase is analyzed, considering the nonlinear factor when analysis the motion ofγsubunit, the error of mechanical steps without considering the nonlinear factor is obtained, and the affecting factors and the influence law of rotating when considering the nonlinear factor are discussed. Using ANSYS FEM analysis software, the solid model of F₁-ATPase is given, the vibration modes of F₁-ATPase are simulated. The simulation results show that the theory analysis is correct.