Fluid mechanical matching of H⁺-ATP synthase subunit c-ring with lipid membranes revealed by²H solid-state NMR

The F₁ F₀-ATP synthase utilizes the transmembrane H⁺ gradient for the synthesis of ATP. F₀ subunit c-ring plays a key role in transporting H⁺ through F₀ in the membrane. We investigated the interactions of Escherichia coli subunit c with dimyristoylphosphatidylcholine (DMPC-d₅₄) at lipid/protein ratios of 50:1 and 20:1 by means of ²H-solid-state NMR. In the liquid-crystalline state of DMPC, the ²H-NMR moment values and the order parameter (S_CD) profile were little affected by the presence of subunit c, suggesting that the bilayer thickness in the liquid-crystalline state is matched to the transmembrane hydrophobic surface of subunit c. On the other hand, hydrophobic mismatch of subunit c with the lipid bilayer was observed in the gel state of DMPC. Moreover, the viscoelasticity represented by a square-law function of the ²H-NMR relaxation was also little influenced by subunit c in the fluid phase, in contrast with flexible nonionic detergents or rigid additives. Thus, the hydrophobic matching of the lipid bilayer to subunit c involves at least two factors, the hydrophobic length and the fluid mechanical property. These findings may be important for the torque generation in the rotary catalytic mechanism of the F₁F ₀-ATPse molecular motor.