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We combine molecular simulations and mechanical modeling to explore the mechanism of energy conversion in the coupled rotary motors of FoF1-ATP synthase. A torsional viscoelastic model with frictional dissipation quantitatively reproduces the dynamics and energetics seen in atomistic molecular dynamics simulations of torque-driven γ-subunit rotation in the F1-ATPase rotary motor. The torsional elastic coefficients determined from the simulations agree with results from independent single-molecule experiments probing different segments of the γ-subunit, which resolves a long-lasting controversy. At steady rotational speeds of ~1 kHz corresponding to experimental turnover, the calculated frictional dissipation of less than kBT per rotation is consistent with the high thermodynamic efficiency of the fully reversible motor. Without load, the maximum rotational speed during transitions between dwells is reached at ~1 MHz. Energetic constraints dictate a unique pathway for the coupled rotations of the Fo and F1 rotary motors in ATP synthase, and explain the need for the finer stepping of the F1 motor in the mammalian system, as seen in recent experiments. Compensating for incommensurate eightfold and threefold rotational symmetries in Fo and F1, respectively, a significant fraction of the external mechanical work is transiently stored as elastic energy in the γ-subunit. The general framework developed here should be applicable to other molecular machines. [ABSTRACT FROM AUTHOR]

F1-ATPase, the catalytic domain of ATP synthase, synthesizes most of the ATP in living organisms. Running in reverse powered by ATP hydrolysis, this hexameric ring-shaped molecular motor formed by three αβ-dimers creates torque on its central γ-subunit. This reverse operation enables detailed explorations of the mechanochemical coupling mechanisms in experiment and simulation. Here, we use molecular dynamics simulations to construct a first atomistic conformation of the intermediate state following the 40° substep of rotary motion, and to study the timing and molecular mechanism of inorganic phosphate (Pi) release coupled to the rotation. In response to torque-driven rotation of the γ-subunit in the hydrolysis direction, the nucleotide-free αβE interface forming the "empty" E site loosens and singly charged Pi readily escapes to the P loop. By contrast, the interface stays closed with doubly charged Pi. The γ-rotation tightens the ATP-bound αβTP interface, as required for hydrolysis. The calculated rate for the outward release of doubly charged Pi from the αβE interface 120° after ATP hydrolysis closely matches the ~1-ms functional timescale. Conversely, Pi release from the ADP-bound αβDP interface postulated in earlier models would occur through a kinetically infeasible inward-directed pathway. Our simulations help reconcile conflicting interpretations of single-molecule experiments and crystallographic studies by clarifying the timing of Pi exit, its pathway and kinetics, associated changes in Pi protonation, and changes of the F1-ATPase structure in the 40° substep. Important elements of the molecular mechanism of Pi release emerging from our simulations appear to be conserved in myosin despite the different functional motions. [ABSTRACT FROM AUTHOR]

Summary: F1-ATPase, a rotary motor powered by adenosine triphosphate hydrolysis, has been extensively studied by various methods. Here, we performed a systematic comparison of 29 X-ray crystal structures of F1-complexes, finding fine interplay among enzyme structures, catalysis, and rotations. First, analyzing the 87 structures of enzymatic αβ-subunits, we confirmed that the two modes, the hinge motion of β-subunit and the loose/tight motion of the αβ-interface, dominate the variations. The structural ensemble was nearly contiguous bridging three clusters, αβTP, αβDP, and αβE. Second, the catalytic site analysis suggested the correlation between the phosphate binding and the tightening of the αβ-interface. Third, addressing correlations of enzymatic structures with the orientations of the central stalk γ, we found that the γ rotation highly correlates with loosening of αβE-interface and βDP hinge motions. Finally, calculating the helix 6 angle of β, we identified the recently observed partially closed conformation being consistent with βHC. [ABSTRACT FROM AUTHOR]

To monitor the Ca 2+ dynamics in cells, various genetically encoded Ca 2+ indicators (GECIs) based on Förster resonance energy transfer (FRET) between fluorescent proteins are widely used for live imaging. Conventionally, cyan and yellow fluorescent proteins have been often used as FRET pairs. Meanwhile, bathochromically shifted indicators with green and red fluorescent protein pairs have various advantages, such as low toxicity and autofluorescence in cells. However, it remains difficult to develop them with a similar level of dynamic range as cyan and yellow fluorescent protein pairs. To improve this, we used Gamillus, which has a unique trans-configuration chromophore, as a green fluorescent protein. Based on one of the best high-dynamic-range GECIs, Twitch-NR, we developed a GECI with 1.5-times higher dynamic range (253%), Twitch-GmRR, using RRvT as a red fluorescent protein. Twitch-GmRR had high brightness and photostability and was successfully applied for imaging the Ca 2+ dynamics in live cells. Our results suggest that Gamillus with trans-type chromophores contributes to improving the dynamic range of GECIs. Therefore, selection of the cis-trans isomer of the chromophore may be a fundamental approach to improve the dynamic range of green-red FRET indicators, unlimited by GECIs.

Cells employ membrane-embedded antiporter proteins to control their pH, salt concentration, and volume. The large family of cation/proton antiporters is dominated by Na + /H + antiporters that exchange sodium ions against protons, but homologous K + /H + exchangers have recently been characterized. We show experimentally that the electroneutral antiporter NhaP1 of Methanocaldococcus jannaschii (MjNhaP1) is highly selective for Na + ions. We then characterize the ion selectivity in both the inward-open and outward-open states of MjNhaP1 using classical molecular dynamics simulations, free energy calculations, and hybrid quantum/classical (QM/MM) simulations. We show that MjNhaP1 is highly selective for binding of Na + over K + in the inward-open state, yet it is only weakly selective in the outward-open state. These findings are consistent with the function of MjNhaP1 as a sodium-driven deacidifier of the cytosol that maintains a high cytosolic K + concentration in environments of high salinity. By combining experiment and computation, we gain mechanistic insight into the Na + /H + transport mechanism and help elucidate the molecular basis for ion selectivity in cation/proton exchangers.