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arXiv · 2210.02072

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

Deepak Gupta·Steven J. Large·Shoichi Toyabe·David A. Sivak
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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.

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Deepak Gupta, Steven J. Large, Shoichi Toyabe, David A. Sivak. 2022-10-05. Optimal Control of the F${_1}$-ATPase Molecular Motor. https://doi.org/10.1021/acs.jpclett.2c03033

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