CHEMOMECHANICAL COUPLING AND STOCHASTIC THERMODYNAMICS OF THE F1-ATPase MOLECULAR MOTOR WITH AN APPLIED EXTERNAL TORQUE

E. GERRITSMA, P. GASPARD
2010 Biophysical Reviews and Letters  
The effects of external torque on the F1-ATPase rotary molecular motor are studied from the viewpoint of recent advances in stochastic thermodynamics. This motor is modeled in terms of discretestate and continuous-state stochastic processes. The dependence of the discrete-state description on external torque and friction is obtained by fitting its transition rates to a continuous-angle model based on Newtonian mechanics with Langevin fluctuating forces and reproducing experimental data on this
more » ... ental data on this motor. In this approach, the continuous-angle model is coarse grained into discrete states separated by both mechanical and chemical transitions. The resulting discrete-state model allows us to identify the regime of tight chemomechanical coupling of the F1 motor and to infer that its chemical and mechanical efficiencies may reach values close to the thermodynamically allowed maxima near the stalling torque. We also show that, under physiological conditions, the F1 motor is functioning in a highly nonlinear-response regime, providing a rotation rate a million times faster than it would be possible in the linear-response regime of nonequilibrium thermodynamics. Furthermore, the counting statistics of fluctuations can be obtained in the tight-coupling regime thanks to the discrete-state stochastic process and we demonstrate that the so-called fluctuation theorem provides a useful method to measure the thermodynamic forces driving the motor out of equilibrium.
doi:10.1142/s1793048010001214 fatcat:svkedradvrcmrkclblu2wlb25q