Hexameric Assembly Research Articles

A preliminary crystallographic study of recombinant NicX, an Fe(2+)-dependent 2,5-dihydroxypyridine dioxygenase from Pseudomonas putida KT2440.

NicX from Pseudomonas putida KT2440 is an Fe(2+)-dependent dioxygenase that is involved in the aerobic degradation of nicotinic acid. The enzyme converts 2,5-dihydroxypyridine to N-formylmaleamic acid when overexpressed in Escherichia coli. Biophysical characterization of NicX by analytical gel-filtration chromatography revealed that it behaves as an oligomeric assembly in solution, with an apparent molecular weight that is consistent with a hexameric species. NicX was crystallized by the hanging-drop vapour-diffusion method at 291 K. Diffraction data were collected to a resolution of 2.0 A at the ESRF. The crystals most probably belong to the orthorhombic space group C222 or C222(1). The estimated Matthews coefficient was 2.4 A(3) Da(-1), corresponding to 50% solvent content, which is consistent with the presence of three protein molecules in the asymmetric unit. Analysis of the crystal data together with chromatographic results supports NicX being a hexameric assembly composed of two cyclic trimers. Currently, crystallization of recombinant selenomethionine-containing NicX is in progress.

An Achilles' Heel in an Amyloidogenic Protein and Its Repair: INSULIN FIBRILLATION AND THERAPEUTIC DESIGN

Insulin fibrillation provides a model for a broad class of amyloidogenic diseases. Conformational distortion of the native monomer leads to aggregation-coupled misfolding. Whereas beta-cells are protected from proteotoxicity by hexamer assembly, fibrillation limits the storage and use of insulin at elevated temperatures. Here, we have investigated conformational distortions of an engineered insulin monomer in relation to the structure of an insulin fibril. Anomalous (13)C NMR chemical shifts and rapid (15)N-detected (1)H-(2)H amide-proton exchange were observed in one of the three classical alpha-helices (residues A1-A8) of the hormone, suggesting a conformational equilibrium between locally folded and unfolded A-chain segments. Whereas hexamer assembly resolves these anomalies in accordance with its protective role, solid-state (13)C NMR studies suggest that the A-chain segment participates in a fibril-specific beta-sheet. Accordingly, we investigated whether helicogenic substitutions in the A1-A8 segment might delay fibrillation. Simultaneous substitution of three beta-branched residues (Ile(A2) --> Leu, Val(A3) --> Leu, and Thr(A8) --> His) yielded an analog with reduced thermodynamic stability but marked resistance to fibrillation. Whereas amide-proton exchange in the A1-A8 segment remained rapid, (13)Calpha chemical shifts exhibited a more helical pattern. This analog is essentially without activity, however, as Ile(A2) and Val(A3) define conserved receptor contacts. To obtain active analogs, substitutions were restricted to A8. These analogs exhibit high receptor-binding affinity; representative potency in a rodent model of diabetes mellitus was similar to wild-type insulin. Although (13)Calpha chemical shifts remain anomalous, significant protection from fibrillation is retained. Together, our studies define an "Achilles' heel" in a globular protein whose repair may enhance the stability of pharmaceutical formulations and broaden their therapeutic deployment in the developing world.

Dual-Channel Single-Molecule Imaging of pRNA on phi29 DNA-Packaging Motor

Bacteriophage phi29 DNA-packaging motor is geared by six packaging RNAs (pRNA). The pRNA molecules have been reported to serve as building blocks in RNA nanotechnology, and as vehicles for specific delivery of therapeutics to treat cancers and viral infections. The understanding of the 3D structure of pRNA and its location and positioning on the motor are both fundamentally and practically important. A customized single-molecule dual-color imaging system has been constructed to study the structures of pRNA molecules. The system is the combination of a low-temperature (−80 °C) sensitive electron multiplied CCD camera and the prism-type total internal reflection mechanism. A laser combiner was introduced to facilitate simultaneous dual-channel imaging. It has been applied to study the structure, stoichiometry, distance and function of the phi29 DNA packaging motor. Single molecule photobleaching analysis clarified the stoichiometry of pRNA on the motor and elucidated the mechanism of pRNA hexamer assembly. The feasibility of the single-molecule imaging system was demonstrated in single-molecule FRET studies. Distance rulers made of dual-labeled dsDNA and RNA/DNA hybrids were used to evaluate the system. The single-molecule FRET was also applied to the reconstructed the 3D structure of phi29 motor pRNA monomers and pRNA dimers. Ten pRNA monomers labeled with single donor or acceptor fluorophore at various locations were constructed, and eight partner pairs were assembled into dimers. FRET signals were detected and utilized to assess the distance between each donor/acceptor pair. The results provide the distance constraints for computer modeling of the motor. We have also re-engineered the energy conversion protein, gp16, of phi29 motor for single fluorophore labeling to facilitate the single molecule studies of motor mechanism. The potential applications of nanometer localization approaches (SHRImP and SHREC) to the study of the phi29 nanomotor were also investigated.

The crystal structure of apo -FtsH reveals domain movements necessary for substrate unfolding and translocation

The hexameric membrane-spanning ATP-dependent metalloprotease FtsH is universally conserved in eubacteria, mitochondria, and chloroplasts, where it fulfills key functions in quality control and signaling. As a member of the self-compartmentalizing ATPases associated with various cellular activities (AAA+ proteases), FtsH converts the chemical energy stored in ATP via conformational rearrangements into a mechanical force that is used for substrate unfolding and translocation into the proteolytic chamber. The crystal structure of the ADP state of Thermotoga maritima FtsH showed a hexameric assembly consisting of a 6-fold symmetric protease disk and a 2-fold symmetric AAA ring. The 2.6 A resolution structure of the cytosolic region of apo-FtsH presented here reveals a new arrangement where the ATPase ring shows perfect 6-fold symmetry with the crucial pore residues lining an open circular entrance. Triggered by this conformational change, a substrate-binding edge beta strand appears within the proteolytic domain. Comparison of the apo- and ADP-bound structure visualizes an inward movement of the aromatic pore residues and generates a model of substrate translocation by AAA+ proteases. Furthermore, we demonstrate that mutation of a conserved glycine in the linker region inactivates FtsH.

Molecular Determinants of MecA as a Degradation Tag for the ClpCP Protease

Regulated proteolysis by ATP-dependent proteases is universal in all living cells. In Bacillus subtilis, the degradation of the competence transcription factor ComK is mediated by a ternary complex involving the adaptor protein MecA and the ATP-dependent protease ClpCP. Here we demonstrate that a C-terminal, 98-amino acid domain of MecA (residues 121-218) serves as a non-recycling, degradation tag and targets a variety of fusion proteins to the ClpCP protease for degradation. MecA-(121-218) facilitates productive oligomerization of ClpC, stimulates the ATPase activity of ClpC, and allows the activated ClpC complex to stably associate with ClpP. Importantly, the ClpCP protease undergoes dynamic cycles of assembly and disassembly, which are triggered by association with MecA and the degradation of MecA, respectively.

Structural Convergence between Cryo-EM and NMR Reveals Intersubunit Interactions Critical for HIV-1 Capsid Function

Mature HIV-1 particles contain conical-shaped capsids that enclose the viral RNA genome and perform essential functions in the virus life cycle. Previous structural analysis of two- and three-dimensional arrays of the capsid protein (CA) hexamer revealed three interfaces. Here, we present a cryoEM study of a tubular assembly of CA and a high-resolution NMR structure of the CA C-terminal domain (CTD) dimer. In the solution dimer structure, the monomers exhibit different relative orientations compared to previous X-ray structures. The solution structure fits well into the EM density map, suggesting that the dimer interface is retained in the assembled CA. We also identified a CTD-CTD interface at the local three-fold axis in the cryoEM map and confirmed its functional importance by mutagenesis. In the tubular assembly, CA intermolecular interfaces vary slightly, accommodating the asymmetry present in tubes. This provides the necessary plasticity to allow for controlled virus capsid dis/assembly.

Structure of the two-domain hexameric APS kinase from Thiobacillus denitrificans: structural basis for the absence of ATP sulfurylase activity.

The Tbd_0210 gene of the chemolithotrophic bacterium Thiobacillus denitrificans is annotated to encode a 60.5 kDa bifunctional enzyme with ATP sulfurylase and APS kinase activity. This putative bifunctional enzyme was cloned, expressed and structurally characterized. The 2.95 A resolution X-ray crystal structure reported here revealed a hexameric assembly with D(3) symmetry. Each subunit contains a large N-terminal sulfurylase-like domain and a C-terminal APS kinase domain reminiscent of the two-domain fungal ATP sulfurylases of Penicillium chrysogenum and Saccharomyces cerevisiae, which also exhibit a hexameric assembly. However, the T. denitrificans enzyme exhibits numerous structural and sequence differences in the N-terminal domain that render it inactive with respect to ATP sulfurylase activity. Surprisingly, the C-terminal domain does indeed display APS kinase activity, indicating that this gene product is a true APS kinase. Therefore, these results provide the first structural insights into a unique hexameric APS kinase that contains a nonfunctional ATP sulfurylase-like domain of unknown function.

Cyclic Trinuclear Diorganotin(IV) Complexes – The First Tin Compounds Bearing Oximehydroxamate Ligands: Synthesis, Structural Characterization and High In Vitro Cytotoxicity

AbstractThe reactions between equimolar amounts of R2SnO (R = Me 1, nBu 2) and N,2‐dihydroxy‐5‐[N‐hydroxyethanimidoyl]benzamide (H2L) under solvent reflux conditions (in toluene for 1 and methanol for 2) for ca. 4 h led to the formation of the trinuclear tin complexes [R2Sn(L)]3 (R = Me 3, nBu 4) isolated as colourless crystalline solids in ca. 85 % yield, which were characterized by IR, 1H, 13C and 119Sn NMR spectroscopy, elemental analysis and (for 4) by X‐ray diffraction. The trinuclear Sn core is stabilized by multiple intramolecular hydrogen bonding interactions involving the hydroxamate ligands, whereas the uncoordinated oxime functions interact through intermolecular H‐bonds leading to cyclic hexameric assemblies. These complexes are stable in air, soluble in common solvents and moderately in water and represent the first examples of tin species containing ligatedoximehydroxamic acids. Complex 4 exhibits high in vitrotumour‐inhibiting activity against the following human cell lines: promyelocyticfina leukemia (HL‐60), hepatocellular carcinoma (Bel‐7402), gastric carcinoma (BGC‐823) andnasopharyngeal carcinoma (KB). (© Wiley‐VCH Verlag GmbH & Co. KGaA, 69451 Weinheim, Germany, 2009)

Crystal Structure of the Hexameric Catabolic Ornithine Transcarbamylase from Lactobacillus hilgardii: Structural Insights into the Oligomeric Assembly and Metal Binding

Catabolic ornithine transcarbamylase (cOTC; EC 2.1.3.3) catalyzes the formation of ornithine (ORN) and carbamoyl phosphate from citrulline, which constitutes the second step of the degradation of arginine via the arginine deiminase pathway. Here, we report the crystal structure of cOTC from the lactic acid bacteria Lactobacillus hilgardii (Lh-cOTC) refined to 2.1 Å resolution. The structure reveals that Lh-cOTC forms a hexameric assembly, which was also confirmed by gel-filtration chromatography and analytical ultracentrifugation. The homohexamer, with 32 point group symmetry, represents a new oligomeric state within the members of the ornithine transcarbamylase family that are typically homotrimeric or homododecameric. The C-terminal end from each subunit constitutes a key structural element for the stabilization of the hexameric assembly in solution. Additionally, the structure reveals, for the first time in the ornithine transcarbamylase family, a metal-binding site located at the 3-fold molecular symmetry axis of each trimer.

Molecular Mechanism of Distinct Salt-Dependent Enzyme Activity of Two Halophilic Nucleoside Diphosphate Kinases

Nucleoside diphosphate kinases from haloarchaea Haloarcula quadrata (NDK-q) and H. sinaiiensis (NDK-s) are identical except for one out of 154 residues, i.e., Arg31 in NDK-q and Cys31 in NDK-s. However, the salt-dependent activity profiles of NDK-q and NDK-s are quite different: the optimal NaCl concentrations of NDK-q and NDK-s are 1 M and 2 M, respectively. We analyzed the relationships of the secondary, tertiary, and quaternary structures and NDK activity of these NDKs at various salt concentrations, and revealed that 1), NDK-q is present as a hexamer under a wide range of salt concentrations (0.2–4 M NaCl), whereas NDK-s is present as a hexamer at an NaCl concentration above 2 M and as a dimer at NaCl concentrations below 1 M; 2), dimeric NDK-s has lower activity than hexameric NDK-s; and 3), dimeric NDK-s has higher helicity than hexameric NDK-s. We also determined the crystal structure of hexameric NDK-q, and revealed that Arg31 plays an important role in stabilizing the hexamer. Thus the substitution of Arg (as in NDK-q) to Cys (as in NDK-s) at position 31 destabilizes the hexameric assembly, and causes dissociation to less active dimers at low salt concentrations.

Hexameric assembly of the proteasomal ATPases is templated through their C termini

Substrates of the proteasome are recognized and unfolded by the regulatory particle (RP), then translocated into the core particle (CP) to be degraded1. A hetero-hexameric ATPase ring, containing subunits Rpt1-Rpt6, is situated within the base subassembly of the RP1. The ATPase ring sits atop the CP, with the Rpt C-termini inserted into pockets in the CP2–6. We have identified a novel function of the Rpt proteins in proteasome biogenesis through deleting the C-terminal residue from each Rpt. Our results indicate that assembly of the hexameric ATPase ring is templated on the CP. We have also identified an apparent intermediate in base assembly, BP1, which contains Rpn1, three Rpts, and Hsm3, a chaperone for base assembly. The Rpt proteins with the strongest assembly phenotypes, Rpt4 and Rpt6, were absent from BP1. We propose that Rpt4 and Rpt6 form a nucleating complex to initiate base assembly, and that this complex is subsequently joined by BP1 to complete the Rpt ring. Our studies show that assembly of the proteasome base is a rapid yet highly orchestrated process.

Structure and function of a Campylobacter jejuni thioesterase Cj0915, a hexameric hot dog fold enzyme

Acyl-coenzyme A (CoA) thioesterases are a large family of enzymes that hydrolyze acyl-CoA esters to the free fatty acid and CoA and thereby regulate essential cellular functions such as lipid metabolism, membrane synthesis, signal transduction, and gene transcription. To better understand the virulence mechanisms of Campylobacter jejuni, and its possible link to membrane lipid biosynthesis, we have investigated C. jejuni thioesterases, annotated as putative proteins. While little is known about fatty acid biosynthesis and regulation in C. jejuni, remarkable differences in the genome and its organization from Escherichia coli, the paradigm system, raise questions as to the functions of these putative proteins. Here we present the crystal structure and biochemical analysis of Cj0915, defining the first functional thioesterase from C. jejuni. The structure of Cj0915 reveals the hot dog fold with an YciA-type hexameric assembly. Enzymatic assays performed with the purified protein show that Cj0915 is an efficient thioesterase with a broad specificity toward acyl-CoA substrates. This study provides a framework for investigation on roles of the Cj0915 thioesterase in virulence, and functional activities associated with the Cj0915 thioesterase in vivo.

Crystal Structure of the Periplasmic Component of a Tripartite Macrolide-Specific Efflux Pump

In Gram-negative bacteria, type I protein secretion systems and tripartite drug efflux pumps have a periplasmic membrane fusion protein (MFP) as an essential component. MFPs bridge the outer membrane factor and an inner membrane transporter, although the oligomeric state of MFPs remains unclear. The most characterized MFP AcrA connects the outer membrane factor TolC and the resistance–nodulation–division-type efflux transporter AcrB, which is a major multidrug efflux pump in Escherichia coli. MacA is the periplasmic MFP in the MacAB–TolC pump, where MacB was characterized as a macrolide-specific ATP-binding-cassette-type efflux transporter. Here, we report the crystal structure of E. coli MacA and the experimentally phased map of Actinobacillus actinomycetemcomitans MacA, which reveal a domain orientation of MacA different from that of AcrA. Notably, a hexameric assembly of MacA was found in both crystals, exhibiting a funnel-like structure with a central channel and a conical mouth. The hexameric MacA assembly was further confirmed by electron microscopy and functional studies in vitro and in vivo. The hexameric structure of MacA provides insight into the oligomeric state in the functional complex of the drug efflux pump and type I secretion system.

Visualization of a missing link in retrovirus capsid assembly

For a retrovirus such as HIV to be infectious, a properly formed capsid is needed; however, unusually among viruses, retrovirus capsids are highly variable in structure. According to the fullerene conjecture, they are composed of hexamers and pentamers of CA protein, with a capsid’s shape varying according to how the twelve pentamers are distributed and its size depending on the number of hexamers. Hexamers have been studied in planar and tubular arrays but the predicted pentamers have not been observed. Here we report cryo-electron microscopic analyses of two in vitro-assembled capsids of Rous sarcoma virus. Both are icosahedrally symmetric: one is composed of 12 pentamers; the other, of 12 pentamers and 20 hexamers. Fitting of atomic models of the two CA domains into the reconstructions shows three distinct inter-subunit interactions. These observations substantiate the fullerene conjecture, show how pentamers are accommodated at vertices, support the inference that nucleation is a crucial morphologic determinant, and imply that electrostatic interactions govern the differential assembly of pentamers and hexamers.

Implications of the structure of human uridine phosphorylase 1 on the development of novel inhibitors for improving the therapeutic window of fluoropyrimidine chemotherapy

BackgroundUridine phosphorylase (UPP) is a key enzyme of pyrimidine salvage pathways, catalyzing the reversible phosphorolysis of ribosides of uracil to nucleobases and ribose 1-phosphate. It is also a critical enzyme in the activation of pyrimidine-based chemotherapeutic compounds such a 5-fluorouracil (5-FU) and its prodrug capecitabine. Additionally, an elevated level of this enzyme in certain tumours is believed to contribute to the selectivity of such drugs. However, the clinical effectiveness of these fluoropyrimidine antimetabolites is hampered by their toxicity to normal tissue. In response to this limitation, specific inhibitors of UPP, such as 5-benzylacyclouridine (BAU), have been developed and investigated for their ability to modulate the cytotoxic side effects of 5-FU and its derivatives, so as to increase the therapeutic index of these agents.ResultsIn this report we present the high resolution structures of human uridine phosphorylase 1 (hUPP1) in ligand-free and BAU-inhibited conformations. The structures confirm the unexpected solution observation that the human enzyme is dimeric in contrast to the hexameric assembly present in microbial UPPs. They also reveal in detail the mechanism by which BAU engages the active site of the protein and subsequently disables the enzyme by locking the protein in a closed conformation. The observed inter-domain motion of the dimeric human enzyme is much greater than that seen in previous UPP structures and may result from the simpler oligomeric organization.ConclusionThe structural details underlying hUPP1's active site and additional surfaces beyond these catalytic residues, which coordinate binding of BAU and other acyclouridine analogues, suggest avenues for future design of more potent inhibitors of this enzyme. Notably, the loop forming the back wall of the substrate binding pocket is conformationally different and substantially less flexible in hUPP1 than in previously studied microbial homologues. These distinctions can be utilized to discover novel inhibitory compounds specifically optimized for efficacy against the human enzyme as a step toward the development of more effective chemotherapeutic regimens that can selectively protect normal tissues with inherently lower UPP activity.

The Methanothermobacter thermautotrophicus MCM Helicase Is Active as a Hexameric Ring

The minichromosome maintenance (MCM) complex is thought to function as the replicative helicase in archaea and eukarya. The structure of the single MCM protein homologue from the archaeon Methanothermobacter thermautotrophicus is not yet clear, and hexameric, heptameric, octameric, and dodecameric structures, open rings, and filamentous structures have been reported. Using a combination of biochemical and structural analysis, it is shown here that the M. thermautotrophicus MCM helicase is active as a hexamer.

Structural and Functional Requirements for Activity of the Tim9–Tim10 Complex in Mitochondrial Protein Import

The Tim9-Tim10 complex plays an essential role in mitochondrial protein import by chaperoning select hydrophobic precursor proteins across the intermembrane space. How the complex interacts with precursors is not clear, although it has been proposed that Tim10 acts in substrate recognition, whereas Tim9 acts in complex stabilization. In this study, we report the structure of the yeast Tim9-Tim10 hexameric assembly determined to 2.5 A and have performed mutational analysis in yeast to evaluate the specific roles of Tim9 and Tim10. Like the human counterparts, each Tim9 and Tim10 subunit contains a central loop flanked by disulfide bonds that separate two extended N- and C-terminal tentacle-like helices. Buried salt-bridges between highly conserved lysine and glutamate residues connect alternating subunits. Mutation of these residues destabilizes the complex, causes defective import of precursor substrates, and results in yeast growth defects. Truncation analysis revealed that in the absence of the N-terminal region of Tim9, the hexameric complex is no longer able to efficiently trap incoming substrates even though contacts with Tim10 are still made. We conclude that Tim9 plays an important functional role that includes facilitating the initial steps in translocating precursor substrates into the intermembrane space.

Unique GTP-Binding Pocket and Allostery of Uridylate Kinase from a Gram-Negative Phytopathogenic Bacterium

Using X-ray diffraction methodology, we have successfully determined the tertiary structures of the apo- and GTP-bound forms of uridylate kinase (UMPK) from the Gram-negative plant pathogen Xanthomonas campestris with crystals grown under a strong magnetic field. The flexible ATP- and UMP-binding loops are clearly shown under this situation. X. campestris UMPK contains a unique patch of noticeably positive nature from residue R100 to residue R127, allowing it to form a special GTP-binding pocket in the central hole of the structure. Although GTP is found to be situated in a pocket similar to that of the ATP-binding pocket in Bacillus anthracis UMPK, superimposition between the two pockets indicates that they adopt very distinct conformations. Detailed structural analyses of X. campestris UMPK between its apo- and GTP-bound forms reveal that binding of GTP does not induce global conformational change for X. campestris UMPK and only moderates movements for the ATP- and UMP-binding loops. Binding of GTP effector seems to “heat up” X. campestris UMPK, causing overall increases of B-factors for the protein, except for residues interacting with the guanine base. Moderate increase of enzyme activity, as is the case detected in other Gram-negative bacteria, is observed for X. campestris UMPK in the presence of an allosteric GTP effector. Given that the GTP molecules bind in the central cavity of the hexamer and that each GTP molecule interacts with more than one monomer, it is likely that binding of GTP modifies the hexameric assembly to exert long-range allosteric control on X. campestris UMPK, similar to that suggested for the effect of ATP effector on B. anthracis UMPK.

Novel mechanism of hexamer ring assembly in protein/RNA interactions revealed by single molecule imaging

Many nucleic acid-binding proteins and the AAA+ family form hexameric rings, but the mechanism of hexamer assembly is unclear. It is generally believed that the specificity in protein/RNA interaction relies on molecular contact through a surface charge or 3D structure matching via conformational capture or induced fit. The pRNA of bacteriophage phi29 DNA-packaging motor also forms a ring, but whether the pRNA ring is a hexamer or a pentamer is under debate. Here, single molecule studies elucidated a mechanism suggesting the specificity and affinity in protein/RNA interaction relies on pRNA static ring formation. A combined pRNA ring-forming group was very specific for motor binding, but the isolated individual members of the ring-forming group bind to the motor nonspecifically. pRNA did not form a ring prior to motor binding. Only those RNAs that formed a static ring, via the interlocking loops, stayed on the motor. Single interlocking loop interruption resulted in pRNA detachment. Extension or reduction of the ring circumference failed in motor binding. This new mechanism was tested by redesigning two artificial RNAs that formed hexamer and packaged DNA. The results confirmed the stoichiometry of pRNA on the motor was the common multiple of two and three, thus, a hexamer.

Probing the Oligomeric Assemblies of Pea Porphobilinogen Synthase by Analytical Ultracentrifugation

The enzyme porphobilinogen synthase (PBGS) can exist in different nonadditive homooligomeric assemblies, and under appropriate conditions, the distribution of these assemblies can respond to ligands such as metals or substrate. PBGS from most organisms was believed to be octameric until work on a rare allele of human PBGS revealed an alternate hexameric assembly, which is also available to the wild-type enzyme at elevated pH [Breinig, S., et al. (2003) Nat. Struct. Biol. 10, 757-763]. Herein, we establish that the distribution of pea PBGS quaternary structures also contains octamers and hexamers, using both sedimentation velocity and sedimentation equilibrium experiments. We report results in which the octamer dominates under purification conditions and discuss conditions that influence the octamer:hexamer ratio. As predicted by PBGS crystal structures from related organisms, in the absence of magnesium, the octameric assembly is significantly destabilized, and the oligomeric distribution is dominated largely by the hexameric assembly. Although the PBGS hexamer-to-octamer oligomeric rearrangement is well documented under some conditions, both assemblies are very stable (under AU conditions) in the time frame of our ultracentrifuge experiments.