Normal‐mode‐based modeling of allosteric couplings that underlie cyclic conformational transition in F1 ATPase

F₁ ATPase, a rotary motor comprised of a central stalk ( γ subunit) enclosed by three α and β subunits alternately arranged in a hexamer, features highly cooperative binding and hydrolysis of ATP. Despite steady progress in biophysical, biochemical, and computational studies of this fascinating motor, the structural basis for cooperative ATPase involving its three catalytic sites remains not fully understood. To illuminate this key mechanistic puzzle, we have employed a coarse‐grained elastic network model to probe the allosteric couplings underlying the cyclic conformational transition in F₁ ATPase at a residue level of detail. We will elucidate how ATP binding and product (ADP and phosphate) release at two catalytic sites are coupled with the rotation of γ subunit via various domain motions in α ₃ β ₃ hexamer (including intrasubunit hinge‐bending motions in β subunits and intersubunit rigid‐body rotations between adjacent α and β subunits). To this end, we have used a normal‐mode‐based correlation analysis to quantify the allosteric couplings of these domain motions to local motions at catalytic sites and the rotation of γ subunit. We have then identified key amino acid residues involved in the above couplings, some of which have been validated against past studies of mutated and γ ‐truncated F₁ ATPase. Our finding strongly supports a binding change mechanism where ATP binding to the empty catalytic site triggers a series of intra‐ and intersubunit domain motions leading to ATP hydrolysis and product release at the other two closed catalytic sites. Proteins 2009. © 2009 Wiley‐Liss, Inc.     

Structure and Flexibility of the C-Ring in the Electromotor of Rotary FoF1-ATPase of Pea Chloroplasts

A ring of 8–15 identical c-subunits is essential for ion-translocation by the rotary electromotor of the ubiquitous F_OF₁-ATPase. Here we present the crystal structure at 3.4Å resolution of the c-ring from chloroplasts of a higher plant (Pisum sativum), determined using a native preparation. The crystal structure was found to resemble that of an (ancestral) cyanobacterium. Using elastic network modeling to investigate the ring''s eigen-modes, we found five dominant modes of motion that fell into three classes. They revealed the following deformations of the ring: (I) ellipsoidal, (II) opposite twisting of the luminal circular surface of the ring against the stromal surface, and (III) kinking of the hairpin-shaped monomers in the middle, resulting in bending/stretching of the ring. Extension of the elastic network analysis to rings of different c_n-symmetry revealed the same classes of dominant modes as in P. sativum (c₁₄). We suggest the following functional roles for these classes: The first and third classes of modes affect the interaction of the c-ring with its counterparts in F_O, namely subunits a and bb''. These modes are likely to be involved in ion-translocation and torque generation. The second class of deformation, along with deformations of subunits γ and ε might serve to elastically buffer the torque transmission between F_O and F₁.     

The c13 Ring from a Thermoalkaliphilic ATP Synthase Reveals an Extended Diameter Due to a Special Structural Region

We have structurally characterized the c-ring from the thermoalkaliphilic Bacillus sp. strain TA2.A1 F₁F_o-ATP synthase. Atomic force microscopy imaging and cryo-electron microscopy analyses confirm previous mass spectrometric data indicating that this c-ring contains 13 c-subunits. The cryo-electron microscopy map obtained from two-dimensional crystals shows less closely packed helices in the inner ring compared to those of Na⁺-binding c₁₁ rings. The inner ring of α-helices in c₁₁ rings harbors a conserved GxGxGxGxG motif, with glycines located at the interface between c-subunits, which is responsible for the close packing of these helices. This glycine motif is altered in the c₁₃ ring of Bacillus sp. strain TA2.A1 to AxGxSxGxS, leading to a change in c-c subunit contacts and thereby enlarging the c-ring diameter to host a greater number of c-subunits. An altered glycine motif is a typical feature of c-subunit sequences in alkaliphilic Bacillus species. We propose that enlarged c-rings in proton-dependent F-ATP synthases may represent an adaptation to facilitate ATP synthesis at low overall proton-motive force, as occurs in bacteria that grow at alkaline pH.     

The carboxyl-terminal helical domain of the ATP synthase γ subunit is involved in ε subunit conformation and energy coupling

The γ subunit located at the center of ATP synthase (F_OF₁) plays critical roles in catalysis. Escherichia coli mutant with Pro substitution of the γ subunit residue γLeu218, which are located the rotor shaft near the c subunit ring, decreased NADH-driven ATP synthesis activity and ATP hydrolysis-dependent H⁺ transport of membranes to ~60% and ~40% of the wild type, respectively, without affecting F_OF₁ assembly. Consistently, the mutant was defective in growth by oxidative phosphorylation, indicating that energy coupling is impaired by the mutation. The ε subunit conformations in the γLeu218Pro mutant enzyme were investigated by cross-linking between cysteine residues introduced into both the ε subunit (εCys118 and εCys134, in the second helix and the hook segment, respectively) and the γ subunit (γCys99 and γCys260, located in the globular domain and the carboxyl-terminal helix, respectively). In the presence of ADP, the two γ260 and ε134 cysteine residues formed a disulfide bond in both the γLeu218Pro mutant and the wild type, indicating that the hook segment of ε subunit penetrates into the α₃β₃-ring along with the γ subunits in both enzymes. However, γ260/ε134 cross-linking in the γLeu218Pro mutant decreased significantly in the presence of ATP, whereas this effect was small in the wild type. These results suggested that the γ subunit carboxyl-terminal helix containing γLeu218 is involved in the conformation of the ε subunit hook region during ATP hydrolysis and, therefore, is required for energy coupling in F_OF₁.     

A New Type of Na+-Driven ATP Synthase Membrane Rotor with a Two-Carboxylate Ion-Coupling Motif

The anaerobic bacterium Fusobacterium nucleatum uses glutamate decarboxylation to generate a transmembrane gradient of Na⁺. Here, we demonstrate that this ion-motive force is directly coupled to ATP synthesis, via an F₁F_o-ATP synthase with a novel Na⁺ recognition motif, shared by other human pathogens. Molecular modeling and free-energy simulations of the rotary element of the enzyme, the c-ring, indicate Na⁺ specificity in physiological settings. Consistently, activity measurements showed Na⁺ stimulation of the enzyme, either membrane-embedded or isolated, and ATP synthesis was sensitive to the Na⁺ ionophore monensin. Furthermore, Na⁺ has a protective effect against inhibitors targeting the ion-binding sites, both in the complete ATP synthase and the isolated c-ring. Definitive evidence of Na⁺ coupling is provided by two identical crystal structures of the c₁₁ ring, solved by X-ray crystallography at 2.2 and 2.6 Å resolution, at pH 5.3 and 8.7, respectively. Na⁺ ions occupy all binding sites, each coordinated by four amino acids and a water molecule. Intriguingly, two carboxylates instead of one mediate ion binding. Simulations and experiments demonstrate that this motif implies that a proton is concurrently bound to all sites, although Na⁺ alone drives the rotary mechanism. The structure thus reveals a new mode of ion coupling in ATP synthases and provides a basis for drug-design efforts against this opportunistic pathogen.     

A reciprocating motion-driven rotation mechanism for the ATP synthase

The ATP synthase (having a typical subunit composition of α₃β₃γδεab₂c_8-15) employs an intriguing rotary mechanism for the generation of ATP from ADP and P_i, using energy stored in a transmembrane proton gradient. The conventional rotary model, although being generally accepted, remains difficult to explain certain experimental observations. Here we propose an alternative rotary model for the ATP synthase such that what rotates is the catalytic α₃β₃ cylinder rather than the central stalk and the membrane-embedded c-ring. Specifically, the membrane translocation of protons would induce a cycled conformational change in the c-ring, leading to a reciprocating motion of the attached central stalk, which in turn drives the unidirectional rotation of the α₃β₃ cylinder. Such a reciprocating motion-driven rotation mechanism is somehow analogous to the working mechanism of a retractable click ballpoint pen. Our new model not only explains the experimental observations that have been difficult to reconcile with the conventional model but also avoids its theoretical illogicality.     

Elastic rotation of Escherichia coli FOF1 having ε subunit fused with cytochrome b562 or flavodoxin reductase

Intra-molecular rotation of F_OF₁ ATP synthase enables cooperative synthesis and hydrolysis of ATP. In this study, using a small gold bead probe, we observed fast rotation close to the real rate that would be exhibited without probes. Using this experimental system, we tested the rotation of F_OF₁ with the ε subunit connected to a globular protein [cytochrome b₅₆₂ (ε-Cyt) or flavodoxin reductase (ε-FlavR)], which is apparently larger than the space between the central and the peripheral stalks. The enzymes containing ε-Cyt and ε-FlavR showed continual rotations with average rates of 185 and 148 rps, respectively, similar to the wild type (172 rps). However, the enzymes with ε-Cyt or ε-FlavR showed a reduced proton transport. These results indicate that the intra-molecular rotation is elastic but proton transport requires more strict subunit/subunit interaction.     

A new solution structure of ATP synthase subunit c from thermophilic Bacillus PS3, suggesting a local conformational change for H+-translocation

In F(o)F(1)-ATP synthase, an oligomer ring of F(o)c subunits acts as a rotary proton channel of the F(o)-proton motor. On the basis of the solution structure of the Escherichia coli F(o)c (EF(o)c) monomer, the rotation of the C-terminal helix coupled with the reorientation of the essential Asp61 side-chain on deprotonation was proposed to drive rotation of the whole c-ring. We have determined the NMR structure of F(o)c from thermophilic Bacillus PS3, TF(o)c, in an organic solvent mixture (chloroform/methanol (3:1, v/v)). Our results showed that, independent of pH, the carboxyl group of the essential Glu56 of TF(o)c protrudes toward the outside of the hairpin, a third orientation that differs from either of the two orientations in EF(o)c. Therefore, it would be inappropriate to draw conclusions about the mechanism of c-ring rotation on the basis of the conformations observed only for EF(o)c. The appearance of different hairpin structures shows that there are multiple energy minima for the hairpin structure in terms of helix rotation and axial displacement. The multiple energy minima may also provide a base for the different oligomeric states in the c-ring structure. A rotation mechanism of the F(o) motor coupled with H(+)-translocation is discussed on the basis of these results and the recently reported crystal structure of the c-ring from Ilyobacter tartaricus Na(+)-ATPase.     

Molecular Dynamics Simulations of the Rotary Motor F0 under External Electric Fields across the Membrane

The membrane-bound component F₀, which is a major component of the F₀F₁-ATP synthase, works as a rotary motor and plays a central role in driving the F₁ component to transform chemiosmotic energy into ATP synthesis. We conducted molecular dynamics simulations of b₂-free F₀ in a 1-palmitoyl-2-oleoyl-phosphatidylcholine lipid bilayer for tens of nanoseconds with two different protonation states of the cAsp-61 residue at the interface of the a-c complex in the absence of electric fields and under electric fields of ±0.03 V/nm across the membrane. To our surprise, we observed that the upper half of the N-terminal helix of the c₁ subunit rotated about its axis clockwise by 30°. An energetic analysis revealed that the electrostatic repulsion between this N-terminal helix and subunit c₁₂ was a major contributor to the observed rotation. A correlation map analysis indicated that the correlated motions of residues in the interface of the a-c complex were significantly reduced by external electric fields. The deuterium order parameter (S_CD) profile calculated by averaging all the lipids in the F₀-bound bilayer was not very different from that of the pure bilayer system, in agreement with recent ²H solid-state NMR experiments. However, by delineating the lipid properties according to their vicinity to F₀, we found that the S_CD profiles of different lipid shells were prominently different. Lipids close to F₀ formed a more ordered structure. Similarly, the lateral diffusion of lipids on the membrane surface also followed a shell-dependent behavior. The lipids in the proximity of F₀ exhibited very significantly reduced diffusional motion. The numerical value of S_CD was anticorrelated with that of the diffusion coefficient, i.e., the more ordered lipid structures led to slower lipid diffusion. Our findings will help elucidate the dynamics of F₀ depending on the protonation state and electric field, and may also shed some light on the interactions between the motor F₀ and its surrounding lipids under physiological conditions, which could help to rationalize its extraordinary energy conversion efficiency.     

Inhibition of F1-ATPase Rotational Catalysis by the Carboxyl-terminal Domain of the ? Subunit

Escherichia coli ATP synthase (F₀F₁) couples catalysis and proton transport through subunit rotation. The ϵ subunit, an endogenous inhibitor, lowers F₁-ATPase activity by decreasing the rotation speed and extending the duration of the inhibited state (Sekiya, M., Hosokawa, H., Nakanishi-Matsui, M., Al-Shawi, M. K., Nakamoto, R. K., and Futai, M. (2010) Single molecule behavior of inhibited and active states of Escherichia coli ATP synthase F₁ rotation. J. Biol. Chem. 285, 42058–42067). In this study, we constructed a series of ϵ subunits truncated successively from the carboxyl-terminal domain (helix 1/loop 2/helix 2) and examined their effects on rotational catalysis (ATPase activity, average rotation rate, and duration of inhibited state). As expected, the ϵ subunit lacking helix 2 caused about ½-fold reduced inhibition, and that without loop 2/helix 2 or helix 1/loop 2/helix 2 showed a further reduced effect. Substitution of ϵSer¹⁰⁸ in loop 2 and ϵTyr¹¹⁴ in helix 2, which possibly interact with the β and γ subunits, respectively, decreased the inhibitory effect. These results suggest that the carboxyl-terminal domain of the ϵ subunit plays a pivotal role in the inhibition of F₁ rotation through interaction with other subunits.     

ATP synthases: bioinformatic based insights into how their electrochemically driven motor comprised of subunits a and c might serve as a drug target

ATP synthases, widely distributed in bacteria, eukaryotic mitochondria and chloroplasts, are highly conserved multi-subunit complexes. Although the conserved acidic residue in the transmembrane helix of the c subunit functions in H⁺ transport, the surrounding residues differ among species. Such divergence could lead to different regulatory modes since pH-dependent H⁺ transport has been demonstrated in E. coli with a c subunit carrying an additional acidic residue in the helix. There is further divergence in the number of c subunits that form the ring structure which is determined by the higher ordered structure. Recently, it was suggested that certain chemicals recognize the a and c subunits of pathogenic bacterial F₀. Since there may be structural divergence even in well-conserved ATP synthases, the c subunit-ring as well as the a subunit in F₀ could be targets for drugs for specific bacterial species.     

Torque Transmission Mechanism via DELSEED Loop of F1-ATPase

F₁-ATPase (F₁) is an ATP-driven rotary motor in which the three catalytic β subunits in the stator ring sequentially induce the unidirectional rotation of the rotary γ subunit. Many lines of evidence have revealed open-to-closed conformational transitions in the β subunit that swing the C-terminal domain inward. This conformational transition causes a C-terminal protruding loop with conserved sequence DELSEED to push the γ subunit. Previous work, where all residues of DELSEED were substituted with glycine to disrupt the specific interaction with γ and introduce conformational flexibility, showed that F₁ still rotated, but that the torque was halved, indicating a remarkable impact on torque transmission. In this study, we conducted a stall-and-release experiment on F₁ with a glycine-substituted DELSEED loop to investigate the impact of the glycine substitution on torque transmission upon ATP binding and ATP hydrolysis. The mutant F₁ showed a significantly reduced angle-dependent change in ATP affinity, whereas there was no change in the equilibrium for ATP hydrolysis. These findings indicate that the DELSEED loop is predominantly responsible for torque transmission upon ATP binding but not for that upon ATP hydrolysis.     

Functional investigation of an universally conserved leucine residue in subunit a of ATP synthase targeted by the pathogenic m.9176 T>G mutation

Protons are transported from the mitochondrial matrix to the intermembrane space of mitochondria during the transfer of electrons to oxygen and shuttled back to the matrix by the a subunit and a ring of identical c subunits across the membrane domain (F_O) of ATP synthase, which is coupled to ATP synthesis. A mutation (m.9176?T?>?G) of the mitochondrial ATP6 gene that replaces an universally conserved leucine residue into arginine at amino acid position 217 of human subunit a (aL₂₁₇R) has been associated to NARP (Neuropathy, Ataxia and Retinitis Pigmentosa) and MILS (Maternally Inherited Leigh's Syndrome) diseases. We previously showed that an equivalent thereof in Saccharomyces cerevisiae (aL₂₃₇R) severely impairs subunit a assembly/stability and decreases by >90% the rate of mitochondrial ATP synthesis. Herein we identified three spontaneous first-site intragenic suppressors (aR₂₃₇M, aR₂₃₇T and aR₂₃₇S) that fully restore ATP synthase assembly. However, mitochondrial ATP synthesis rate was only partially recovered (40–50% vs wild type yeast). In light of recently described high-resolution yeast ATP synthase structures, the detrimental consequences of the aL₂₃₇R change can be explained by steric and electrostatic hindrance with the universally conserved subunit a arginine residue (aR₁₇₆) that is essential to F_O activity. aL₂₃₇ together with three other nearby hydrophobic residues have been proposed to prevent ion shortage between two physically separated hydrophilic pockets within the F_O. Our results suggest that aL₂₃₇ favors subunit c-ring rotation by optimizing electrostatic interaction between aR₁₇₆ and an acidic residue in subunit c (cE₅₉) known to be essential also to the activity of F_O.     

Mitochondrial permeability transition involves dissociation of F1FO ATP synthase dimers and C‐ring conformation

The impact of the mitochondrial permeability transition (MPT) on cellular physiology is well characterized. In contrast, the composition and mode of action of the permeability transition pore complex (PTPC), the supramolecular entity that initiates MPT, remain to be elucidated. Specifically, the precise contribution of the mitochondrial F₁F_O ATP synthase (or subunits thereof) to MPT is a matter of debate. We demonstrate that F₁F_O ATP synthase dimers dissociate as the PTPC opens upon MPT induction. Stabilizing F₁F_O ATP synthase dimers by genetic approaches inhibits PTPC opening and MPT. Specific mutations in the F₁F_O ATP synthase c subunit that alter C‐ring conformation sensitize cells to MPT induction, which can be reverted by stabilizing F₁F_O ATP synthase dimers. Destabilizing F₁F_O ATP synthase dimers fails to trigger PTPC opening in the presence of mutants of the c subunit that inhibit MPT. The current study does not provide direct evidence that the C‐ring is the long‐sought pore‐forming subunit of the PTPC, but reveals that PTPC opening requires the dissociation of F₁F_O ATP synthase dimers and involves the C‐ring.     

Amputation of a C-terminal helix of the γ subunit increases ATP-hydrolysis activity of cyanobacterial F1 ATP synthase

F₁ is a soluble part of F_oF₁-ATP synthase and performs a catalytic process of ATP hydrolysis and synthesis. The γ subunit, which is the rotary shaft of F₁ motor, is composed of N-terminal and C-terminal helices domains, and a protruding Rossman-fold domain located between the two major helices parts. The N-terminal and C-terminal helices domains of γ assemble into an antiparallel coiled-coil structure, and are almost embedded into the stator ring composed of α₃β₃ hexamer of the F₁ molecule. Cyanobacterial and chloroplast γ subunits harbor an inserted sequence of 30 or 39 amino acids length within the Rossman-fold domain in comparison with bacterial or mitochondrial γ. To understand the structure–function relationship of the γ subunit, we prepared a mutant F₁-ATP synthase of a thermophilic cyanobacterium, Thermosynechococcus elongatus BP-1, in which the γ subunit is split into N-terminal α-helix along with the inserted sequence and the remaining C-terminal part. The obtained mutant showed higher ATP-hydrolysis activities than those containing the wild-type γ. Contrary to our expectation, the complexes containing the split γ subunits were mostly devoid of the C-terminal helix. We further investigated the effect of post-assembly cleavage of the γ subunit. We demonstrate that insertion of the nick between two helices of the γ subunit imparts resistance to ADP inhibition, and the C-terminal α-helix is dispensable for ATP-hydrolysis activity and plays a crucial role in the assembly of F₁-ATP synthase.     

Single-molecule Analysis of F0F1-ATP Synthase Inhibited by N,N-Dicyclohexylcarbodiimide

N,N-Dicyclohexylcarbodiimide (DCCD) is a classical inhibitor of the F₀F₁-ATP synthase (F₀F₁), which covalently binds to the highly conserved carboxylic acid of the proteolipid subunit (c subunit) in F₀. Although it is well known that DCCD modification of the c subunit blocks proton translocation in F₀ and the coupled ATP hydrolysis activity of F₁, how DCCD inhibits the rotary dynamics of F₀F₁ remains elusive. Here, we carried out single-molecule rotation assays to characterize the DCCD inhibition of Escherichia coli F₀F₁. Upon the injection of DCCD, rotations irreversibly terminated with first order reaction kinetics, suggesting that the incorporation of a single DCCD moiety is sufficient to block the rotary catalysis of the F₀F₁. Individual molecules terminated at different angles relative to the three catalytic angles of F₁, suggesting that DCCD randomly reacts with one of the 10 c subunits. DCCD-inhibited F₀F₁ sometimes showed transient activation; molecules abruptly rotated and stopped after one revolution at the original termination angle, suggesting that hindrance by the DCCD moiety is released due to thermal fluctuation. To explore the mechanical activation of DCCD-inhibited molecules, we perturbed inhibited molecules using magnetic tweezers. The probability of transient activation increased upon a forward forcible rotation. Interestingly, during the termination F₀F₁, showed multiple positional shifts, which implies that F₁ stochastically changes the angular position of its rotor upon a catalytic reaction. This effect could be caused by balancing the angular positions of the F₁ and the F₀ rotors, which are connected via elastic elements.     

Purification, characterization and reconstitution into membranes of the oligomeric c-subunit ring of thermophilic F(o)F(1)-ATP synthase expressed in Escherichia coli

F(o)F(1)-ATP synthase catalyzes ATP synthesis coupled with proton-translocation across the membrane. The membrane-embedded F(o) portion is responsible for the H(+) translocation coupled with rotation of the oligomeric c-subunit ring, which induces rotation of the γ subunit of F(1). For solid-state NMR measurements, F(o)F(1) of thermophilic Bacillus PS3 (TF(o)F(1)) was overexpressed in Escherichia coli and the intact c-subunit ring (TF(o)c-ring) was isolated by new procedures. One of the key improvement in this purification was the introduction of a His residue to each c-subunit that acts as a virtual His(10)-tag of the c-ring. After solubilization from membranes by sodium deoxycholate, the c-ring was purified by Ni-NTA affinity chromatography, followed by anion-exchange chromatography. The intactness of the isolated c-ring was confirmed by high-resolution clear native PAGE, sedimentation analysis, and H(+)-translocation activity. The isotope-labeled intact TF(o)c-ring was successfully purified in such an amount as enough for solid-state NMR measurements. The isolated TF(o)c-rings were reconstituted into lipid membranes. A solid-state NMR spectrum at a high quality was obtained with this membrane sample, revealing that this purification procedure was suitable for the investigation by solid-state NMR. The purification method developed here can also be used for other physicochemical investigations.     

Reconstitution of mitochondrial ATP synthase into lipid bilayers for structural analysis

Mitochondrial F₁F_o-ATP synthase is a molecular motor that couples the energy generated by oxidative metabolism to the synthesis of ATP. Direct visualization of the rotary action of the bacterial ATP synthase has been well characterized. However, direct observation of rotation of the mitochondrial enzyme has not been reported yet. Here, we describe two methods to reconstitute mitochondrial F₁F_o-ATP synthase into lipid bilayers suitable for structure analysis by electron and atomic force microscopy (AFM). Proteoliposomes densely packed with bovine heart mitochondria F₁F_o-ATP synthase were obtained upon detergent removal from ternary mixtures (lipid, detergent and protein). Two-dimensional crystals of recombinant hexahistidine-tagged yeast F₁F_o-ATP synthase were grown using the supported monolayer technique. Because the hexahistidine-tag is located at the F₁ catalytic subcomplex, ATP synthases were oriented unidirectionally in such two-dimensional crystals, exposing F₁ to the lipid monolayer and the F_o membrane region to the bulk solution. This configuration opens a new avenue for the determination of the c-ring stoichiometry of unknown hexahistidine-tagged ATP synthases and the organization of the membrane intrinsic subunits within F_o by electron microscopy and AFM.     

Structural model of the transmembrane Fo rotary sector of H-transporting ATP synthase derived by solution NMR and intersubunit cross-linking in situ

H⁺-transporting, F₁F_o-type ATP synthases utilize a transmembrane H⁺ potential to drive ATP formation by a rotary catalytic mechanism. ATP is formed in alternating β subunits of the extramembranous F₁ sector of the enzyme, synthesis being driven by rotation of the γ subunit in the center of the F₁ molecule between the alternating catalytic sites . The H⁺ electrochemical potential is thought to drive γ subunit rotation by first coupling H⁺ transport to rotation of an oligomeric rotor of c subunits within the transmembrane F_o sector. The γ subunit is forced to turn with the c-oligomeric rotor due to connections between subunit c and the γ and ε subunits of F₁. In this essay we will review recent studies on the Escherichia coli F_o sector. The monomeric structure of subunit c, determined by NMR, shows that subunit c folds in a helical hairpin with the proton carrying Asp⁶¹ centered in the second transmembrane helix (TMH). A model for the structural organization of the c₁₀ oligomer in F_o was deduced from extensive cross-linking studies and by molecular modeling. The model indicates that the H⁺-carrying carboxyl of subunit c is occluded between neighboring subunits of the c₁₀ oligomer and that two c subunits pack in a “front-to-back” manner to form the H⁺ (cation) binding site. In order for protons to gain access to Asp⁶¹ during the protonation/deprotonation cycle, we propose that the outer, Asp⁶¹-bearing TMH-2s of the c-ring and TMHs from subunits composing the inlet and outlet channels must turn relative to each other, and that the swiveling motion associated with Asp⁶¹ protonation/deprotonation drives the rotation of the c-ring. The NMR structures of wild-type subunit c differs according to the protonation state of Asp⁶¹. The idea that the conformational state of subunit c changes during the catalytic cycle is supported by the cross-linking evidence in situ, and two recent NMR structures of functional mutant proteins in which critical residues have been switched between TMH-1 and TMH-2. The structural information is considered in the context of the possible mechanism of rotary movement of the c₁₀ oligomer during coupled synthesis of ATP.     

Stiffness of γ subunit of F1-ATPase

F₁-ATPase is a molecular motor in which the γ subunit rotates inside the α₃β₃ ring upon adenosine triphosphate (ATP) hydrolysis. Recent works on single-molecule manipulation of F₁-ATPase have shown that kinetic parameters such as the on-rate of ATP and the off-rate of adenosine diphosphate (ADP) strongly depend on the rotary angle of the γ subunit (Hirono-Hara et al. 2005; Iko et al. 2009). These findings provide important insight into how individual reaction steps release energy to power F₁ and also have implications regarding ATP synthesis and how reaction steps are reversed upon reverse rotation. An important issue regarding the angular dependence of kinetic parameters is that the angular position of a magnetic bead rotation probe could be larger than the actual position of the γ subunit due to the torsional elasticity of the system. In the present study, we assessed the stiffness of two different portions of F₁ from thermophilic Bacillus PS3: the internal part of the γ subunit embedded in the α₃β₃ ring, and the complex of the external part of the γ subunit and the α₃β₃ ring (and streptavidin and magnetic bead), by comparing rotational fluctuations before and after crosslinkage between the rotor and stator. The torsional stiffnesses of the internal and remaining parts were determined to be around 223 and 73 pNnm/radian, respectively. Based on these values, it was estimated that the actual angular position of the internal part of the γ subunit is one-fourth of the magnetic bead position upon stalling using an external magnetic field. The estimated elasticity also partially explains the accommodation of the intrinsic step size mismatch between F_o and F₁-ATPase.