Optimal Control of the F${}_1$-ATPase Molecular Motor

Abstract

F${}_1$-ATPase is a rotary molecular motor that \emph{in vivo} is subject to strong nonequilibrium driving forces. There is great interest in understanding the operational principles governing its high efficiency of free-energy transduction. Here we use a near-equilibrium framework to design a non-trivial control protocol to minimize dissipation in rotating F${}_1$ to synthesize ATP. We find that the designed protocol requires much less work than a naive (constant-velocity) protocol across a wide range of protocol durations. Our analysis points to a possible mechanism for energetically efficient driving of F${}_1$ \emph{in vivo} and provides insight into free-energy transduction for a broader class of biomolecular and synthetic machines.

7 pages + SI, Minor revision

References in corpus (12)

• Optimal finite-time processes in stochastic thermodynamics
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• The geometry of thermodynamic control
• Optimal driving of isothermal processes close to equilibrium
• Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance
• A geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems
• Thermodynamic geometry of minimum-dissipation driven barrier crossing
• Steps minimize dissipation in rapidly driven stochastic systems
• Limited-control optimal protocols arbitrarily far from equilibrium
• Multidimensional minimum-work control of a 2D Ising model
• Efficient two-dimensional control of barrier crossing
• Optimal control of nonequilibrium systems through automatic differentiation

Cited by in corpus (9)

• Optimal Control in Stochastic Thermodynamics
• Efficient control protocols for an active Ornstein-Uhlenbeck particle
• Flow of Energy and Information in Molecular Machines
• Limits on the Precision of Catenane Molecular Motors: Insights from Thermodynamics and Molecular Dynamics Simulations
• Optimal Control in Soft and Active Matter
• Efficiently driving F${}_1$ molecular motor in experiment by suppressing nonequilibrium variation
• Waiting time distributions in hybrid models of motor-bead assays: A concept and tool for inference
• Multiparameter optimal control of F1-ATPase
• Global thermodynamic manifold for conservative control of stochastic systems