A Single ClpS Monomer Is Sufficient to Direct the Activity of the ClpA Hexamer

ClpS is an adaptor protein that interacts with ClpA and promotes degradation of proteins with N-end rule degradation motifs (N-degrons) by ClpAP while blocking degradation of substrates with other motifs. Although monomeric ClpS forms a 1:1 complex with an isolated N-domain of ClpA, only one molecule of ClpS binds with high affinity to ClpA hexamers (ClpA₆). One or two additional molecules per hexamer bind with lower affinity. Tightly bound ClpS dissociates slowly from ClpA₆ with a t_½ of ∼3 min at 37 °C. Maximum activation of degradation of the N-end rule substrate, LR-GFP_Venus, occurs with a single ClpS bound per ClpA₆; one ClpS is also sufficient to inhibit degradation of proteins without N-degrons. ClpS competitively inhibits degradation of unfolded substrates that interact with ClpA N-domains and is a non-competitive inhibitor with substrates that depend on internal binding sites in ClpA. ClpS inhibition of substrate binding is dependent on the order of addition. When added first, ClpS blocks binding of both high and low affinity substrates; however, when substrates first form committed complexes with ClpA₆, ClpS cannot displace them or block their degradation by ClpP. We propose that the first molecule of ClpS binds to the N-domain and to an additional functional binding site, sterically blocking binding of non-N-end rule substrates as well as additional ClpS molecules to ClpA₆. Limiting ClpS-mediated substrate delivery to one per ClpA₆ avoids congestion at the axial channel and allows facile transfer of proteins to the unfolding and translocation apparatus.     

Characterization of the N-terminal repeat domain of Escherichia coli ClpA-A class I Clp/HSP100 ATPase

The ClpA, ClpB, and ClpC subfamilies of the Clp/HSP100 ATPases contain a conserved N-terminal region of approximately 150 residues that consists of two approximate sequence repeats. This sequence from the Escherichia coli ClpA enzyme is shown to encode an independent structural domain (the R domain) that is monomeric and approximately 40% alpha-helical. A ClpA fragment lacking the R domain showed ATP-dependent oligomerization, protein-stimulated ATPase activity, and the ability to complex with the ClpP peptidase and mediate degradation of peptide and protein substrates, including casein and ssrA-tagged proteins. Compared with the activities of the wild-type ClpA, however, those of the ClpA fragment missing the R domain were reduced. These results indicate that the R domain is not required for the basic recognition, unfolding, and translocation functions that allow ClpA-ClpP to degrade some protein substrates, but they suggest that it may play a role in modulating these activities.     

Crystallographic investigation of peptide binding sites in the N-domain of the ClpA chaperone

Escherichia coli ClpA, an Hsp100/Clp chaperone and an integral component of the ATP-dependent ClpAP protease, participates in the dissolution and degradation of regulatory proteins and protein aggregates. ClpA consists of three functional domains: an N-terminal domain and two ATPase domains, D1 and D2. The N-domain is attached to D1 by a mobile linker and is made up of two tightly bound, identically folded alpha-helical bundles related by a pseudo 2-fold symmetry. Between the halves of the pseudo-dimer is a large flexible acidic loop that becomes better ordered upon binding of the small adaptor protein, ClpS. We have identified a number of structural features in the N-domain, including a Zn(++) binding motif, several interfaces for binding to ClpS, and a prominent hydrophobic surface area that binds peptides in different configurations. These structural motifs may contribute to binding of protein or peptide substrates with weak affinity and broad specificity. Kinetic studies comparing wild-type ClpA to a mutant ClpA with its N-domain deleted show that the N-domains contribute to the binding of a non-specific protein substrate but not of a folded substrate with the specific SsrA recognition tag. A functional model is proposed in which the N-domains in ClpA function as tentacles to weakly hold on to proteins thereby enhancing local substrate concentration.     

The flexible attachment of the N-domains to the ClpA ring body allows their use on demand

ClpA is an Hsp100 chaperone that uses the chemical energy of ATP to remodel various protein substrates to prepare them for degradation. It comprises two AAA+ modules and the N-domain, which is attached N-terminally to the first AAA+ module through a linker. On the basis of cryo-electron microscopic and X-ray crystallographic data it has been suggested that the linker confers mobility to the N-domain. In order to define the role of the N-domain in ClpAP-dependent substrate degradation we have generated a ΔN variant at the protein level by introducing a protease cleavage site. The ClpA molecule generated in this way lacks the N-domain and the associated linker but is impaired only slightly in the processing of substrates that are degraded independently of ClpS. In fact, it shows increased catalytic efficiency in the degradation of ssrA-tagged GFP compared to ClpAwt. The role of the linker attaching the N-domain to the bulk of the molecule was probed by characterizing variants with different lengths of the linker. The degradation efficiency of a ClpS-dependent N-end rule substrate, FRliGFP, is reduced for linkers that are shorter or longer than natural linkers but remains the same for the variant where the linker is replaced by an engineered sequence of equivalent length. These results suggest that the flexible attachment of the N-domains to ClpA allows their recruitment to the pore on demand for certain substrates, while allowing them to move out of the way for substrates binding directly to the pore.     

Division of labor between the pore-1 loops of the D1 and D2 AAA+ rings coordinates substrate selectivity of the ClpAP protease

ClpAP, an ATP-dependent protease consisting of ClpA, a double-ring hexameric unfoldase of the ATPases associated with diverse cellular activities superfamily, and the ClpP peptidase, degrades damaged and unneeded proteins to support cellular proteostasis. ClpA recognizes many protein substrates directly, but it can also be regulated by an adapter, ClpS, that modifies ClpA’s substrate profile toward N-degron substrates. Conserved tyrosines in the 12 pore-1 loops lining the central channel of the stacked D1 and D2 rings of ClpA are critical for degradation, but the roles of these residues in individual steps during direct or adapter-mediated degradation are poorly understood. Using engineered ClpA hexamers with zero, three, or six pore-1 loop mutations in each ATPases associated with diverse cellular activities superfamily ring, we found that active D1 pore loops initiate productive engagement of substrates, whereas active D2 pore loops are most important for mediating the robust unfolding of stable native substrates. In complex with ClpS, active D1 pore loops are required to form a high affinity ClpA•ClpS•substrate complex, but D2 pore loops are needed to “tug on” and remodel ClpS to transfer the N-degron substrate to ClpA. Overall, we find that the pore-1 loop tyrosines in D1 are critical for direct substrate engagement, whereas ClpS-mediated substrate delivery requires unique contributions from both the D1 and D2 pore loops. In conclusion, our study illustrates how pore loop engagement, substrate capture, and powering of the unfolding/translocation steps are distributed between the two rings of ClpA, illuminating new mechanistic features that may be common to double-ring protein unfolding machines.     

The ClpS adaptor mediates staged delivery of N-end rule substrates to the AAA+ ClpAP protease

The ClpS adaptor delivers N-end rule substrates to ClpAP, an energy-dependent AAA+ protease, for degradation. How ClpS binds specific N-end residues is known in atomic detail and clarified here, but the delivery mechanism is poorly understood. We show that substrate binding is enhanced when ClpS binds hexameric ClpA. Reciprocally, N-end rule substrates increase ClpS affinity for ClpA(6). Enhanced binding requires the N-end residue and a peptide bond of the substrate, as well as multiple aspects of ClpS, including a side chain that contacts the substrate α-amino group and the flexible N-terminal extension (NTE). Finally, enhancement also needs the N domain and AAA+ rings of ClpA, connected by a long linker. The NTE can be engaged by the ClpA translocation pore, but ClpS resists unfolding/degradation. We propose a staged-delivery model that illustrates how intimate contacts between the substrate, adaptor, and protease reprogram specificity and coordinate handoff from the adaptor to the protease.     

Binding and degradation of heterodimeric substrates by ClpAP and ClpXP

ClpA and ClpX function both as molecular chaperones and as the regulatory components of ClpAP and ClpXP proteases, respectively. ClpA and ClpX bind substrate proteins through specific recognition signals, catalyze ATP-dependent protein unfolding of the substrate, and when in complexes with ClpP translocate the unfolded polypeptide into the cavity of the ClpP peptidase for degradation. To examine the mechanism of interaction of ClpAP with dimeric substrates, single round binding and degradation experiments were performed, revealing that ClpAP degraded both subunits of a RepA homodimer in one cycle of binding. Furthermore, ClpAP was able to degrade both protomers of a RepA heterodimer in which only one subunit contained the ClpA recognition signal. In contrast, ClpXP degraded both subunits of a dimeric substrate only when both protomers contained a recognition signal. These data suggest that ClpAP and ClpXP may recognize and bind substrates in significantly different ways.     

Roles of the N-domains of the ClpA unfoldase in binding substrate proteins and in stable complex formation with the ClpP protease

The hexameric cylindrical Hsp100 chaperone ClpA mediates ATP-dependent unfolding and translocation of recognized substrate proteins into the coaxially associated serine protease ClpP. Each subunit of ClpA is composed of an N-terminal domain of approximately 150 amino acids at the top of the cylinder followed by two AAA+ domains. In earlier studies, deletion of the N-domain was shown to have no effect on the rate of unfolding of substrate proteins bearing a C-terminal ssrA tag, but it did reduce the rate of degradation of these proteins (Lo, J. H., Baker, T. A., and Sauer, R. T. (2001) Protein Sci. 10, 551-559; Singh, S. K., Rozycki, J., Ortega, J., Ishikawa, T., Lo, J., Steven, A. C., and Maurizi, M. R. (2001) J. Biol. Chem. 276, 29420-29429). Here we demonstrate, using both fluorescence resonance energy transfer to measure the arrival of substrate at ClpP and competition between wild-type and an inactive mutant form of ClpP, that this effect on degradation is caused by diminished stability of the ClpA-ClpP complex during translocation and proteolysis, effectively disrupting the targeting of unfolded substrates to the protease. We have also examined two larger ssrA-tagged substrates, CFP-GFP-ssrA and luciferase-ssrA, and observed different behaviors. CFP-GFP-ssrA is not efficiently unfolded by the truncated chaperone whereas luciferase-ssrA is, suggesting that the former requires interaction with the N-domains, likely via the body of the protein, to stabilize its binding. Thus, the N-domains play a key allosteric role in complex formation with ClpP and may also have a critical role in recognizing certain tag elements and binding some substrate proteins.     

Altered specificity of a AAA+ protease

ClpXP, an ATP-dependent protease, degrades hundreds of different intracellular proteins. ClpX chooses substrates by binding peptide tags, typically displayed at the N or C terminus of the protein to be degraded. Here, we identify a ClpX mutant that displays a 300-fold change in substrate specificity, resulting in decreased degradation of ssrA-tagged substrates but improved degradation of proteins with other classes of degradation signals. The altered-specificity mutation occurs within "RKH" loops, which surround the entrance to the central pore of the ClpX hexamer and are highly conserved in the ClpX subfamily of AAA+ ATPases. These results support a major role for the RKH loops in substrate recognition and suggest that ClpX specificity represents an evolutionary compromise that has optimized degradation of multiple types of substrates rather than any single class.     

ClpS, a substrate modulator of the ClpAP machine

In the bacterial cytosol, ATP-dependent protein degradation is performed by several different chaperone-protease pairs, including ClpAP. The mechanism by which these machines specifically recognize substrates remains unclear. Here, we report the identification of a ClpA cofactor from Escherichia coli, ClpS, which directly influences the ClpAP machine by binding to the N-terminal domain of the chaperone ClpA. The degradation of ClpAP substrates, both SsrA-tagged proteins and ClpA itself, is specifically inhibited by ClpS. In contrast, ClpS enhanced ClpA recognition of two heat-aggregated proteins in vitro and, consequently, the ClpAP-mediated disaggregation and degradation of these substrates. We conclude that ClpS modifies ClpA substrate specificity, potentially redirecting degradation by ClpAP toward aggregated proteins.     

DnaK Chaperone-dependent Disaggregation by Caseinolytic Peptidase B (ClpB) Mutants Reveals Functional Overlap in the N-terminal Domain and Nucleotide-binding Domain-1 Pore Tyrosine

Protein disaggregation in Escherichia coli is carried out by ClpB, an AAA(+) (ATPases associated with various cellular activities) molecular chaperone, together with the DnaK chaperone system. Conformational changes in ClpB driven by ATP binding and hydrolysis promote substrate binding, unfolding, and translocation. Conserved pore tyrosines in both nucleotide-binding domain-1 (NBD-1) and -2 (NBD-2), which reside in flexible loops extending into the central pore of the ClpB hexamer, bind substrates. When the NBD-1 pore loop tyrosine is substituted with alanine (Y251A), ClpB can collaborate with the DnaK system in disaggregation, although activity is reduced. The N-domain has also been implicated in substrate binding, and like the NBD-1 pore loop tyrosine, it is not essential for disaggregation activity. To further probe the function and interplay of the ClpB N-domain and the NBD-1 pore loop, we made a double mutant with an N-domain deletion and a Y251A substitution. This ClpB double mutant is inactive in substrate disaggregation with the DnaK system, although each single mutant alone can function with DnaK. Our data suggest that this loss in activity is primarily due to a decrease in substrate engagement by ClpB prior to substrate unfolding and translocation and indicate an overlapping function for the N-domain and NBD-1 pore tyrosine. Furthermore, the functional overlap seen in the presence of the DnaK system is not observed in the absence of DnaK. For innate ClpB unfolding activity, the NBD-1 pore tyrosine is required, and the presence of the N-domain is insufficient to overcome the defect of the ClpB Y251A mutant.     

The I domain of the AAA+ HslUV protease coordinates substrate binding, ATP hydrolysis, and protein degradation

In the AAA+ HslUV protease, substrates are bound and unfolded by a ring hexamer of HslU, before translocation through an axial pore and into the HslV degradation chamber. Here, we show that the N-terminal residues of an Arc substrate initially bind in the HslU axial pore, with key contacts mediated by a pore loop that is highly conserved in all AAA+ unfoldases. Disordered loops from the six intermediate domains of the HslU hexamer project into a funnel-shaped cavity above the pore and are positioned to contact protein substrates. Mutations in these I-domain loops increase K(M) and decrease V(max) for degradation, increase the mobility of bound substrates, and prevent substrate stimulation of ATP hydrolysis. HslU-ΔI has negligible ATPase activity. Thus, the I domain plays an active role in coordinating substrate binding, ATP hydrolysis, and protein degradation by the HslUV proteolytic machine.     

Structural analysis of the adaptor protein ClpS in complex with the N-terminal domain of ClpA

In Escherichia coli, protein degradation is performed by several proteolytic machines, including ClpAP. Generally, the substrate specificity of these machines is determined by chaperone components, such as ClpA. In some cases, however, the specificity is modified by adaptor proteins, such as ClpS. Here we report the 2.5 A resolution crystal structure of ClpS in complex with the N-terminal domain of ClpA. Using mutagenesis, we demonstrate that two contact residues (Glu79 and Lys 84) are essential not only for ClpAS complex formation but also for ClpAPS-mediated substrate degradation. The corresponding residues are absent in the chaperone ClpB, providing a structural rationale for the unique specificity shown by ClpS despite the high overall similarity between ClpA and ClpB. To determine the location of ClpS within the ClpA hexamer, we modeled the N-terminal domain of ClpA onto a structurally defined, homologous AAA+ protein. From this model, we proposed a molecular mechanism to explain the ClpS-mediated switch in ClpA substrate specificity.     

The N-terminal substrate-binding domain of ClpA unfoldase is highly mobile and extends axially from the distal surface of ClpAP protease

ClpAP is a barrel-like complex consisting of hexameric rings of the ClpA ATPase stacked on the double heptameric ring of ClpP peptidase. ClpA has two AAA+ domains (Dl and D2) and a 153-residue N-domain. Substrate proteins bind to the distal surface of ClpA and are unfolded and translocated axially into ClpP. To gain insight into the functional architecture of ClpA in the ATPgammaS state, we have determined its structure at 12A resolution by cryo-electron microscopy. The resulting model has two tiers, corresponding to rings of Dl and D2 domains: oddly, there is no sign of the N-domains in the density map. However, they were detected as faint diffuse density distal to the Dl tier in a difference image between wild-type ClpAP and a mutant lacking the N-domain. This region is also accentuated in a variance map of ClpAP and in a difference imaging experiment with ClpAP complexed with ClpS, a 12kDa protein that binds to the N-domain. These observations demonstrate that the N-domains are highly mobile. From molecular modeling, we identify their median position and estimate that they undergo fluctuations of at least 30A. We discuss the implications of these observations for the role of N-domains in substrate binding: either they effect an initial transient binding, relaying substrate to a second site on the Dl tier where unfolding ensues, or they may serve as an entropic brush to clear the latter site of non-specifically bound ligands or substrates bound in non-productive complexes.     

Functional domains of the ClpA and ClpX molecular chaperones identified by limited proteolysis and deletion analysis

Escherichia coli ClpA and ClpX are ATP-dependent protein unfoldases that each interact with the protease, ClpP, to promote specific protein degradation. We have used limited proteolysis and deletion analysis to probe the conformations of ClpA and ClpX and their interactions with ClpP and substrates. ATP gamma S binding stabilized ClpA and ClpX such that that cleavage by lysylendopeptidase C occurred at only two sites. Both proteins were cleaved within in a loop preceding an alpha-helix-rich C-terminal domain. Although the loop varies in size and composition in Clp ATPases, cleavage occurred within and around a conserved triad, IG(F/L). Binding of ClpP blocked this cleavage, and prior cleavage at this site rendered both ClpA and ClpX defective in binding and activating ClpP, suggesting that this site is involved in interactions with ClpP. ClpA was also cut at a site near the junction of the two ATPase domains, whereas the second cleavage site in ClpX lay between its N-terminal and ATPase domains. ClpP did not block cleavage at these other sites. The N-terminal domain of ClpX dissociated upon cleavage, and the remaining ClpXDeltaN remained as a hexamer, associated with ClpP, and expressed ATPase, chaperone, and proteolytic activity. A truncated mutant of ClpA lacking its N-terminal 153 amino acids also formed a hexamer, associated with ClpP, and expressed these activities. We propose that the N-terminal domains of ClpX and ClpA lie on the outside ring surface of the holoenzyme complexes where they contribute to substrate binding or perform a gating function affecting substrate access to other binding sites and that a loop on the opposite face of the ATPase rings stabilizes interactions with ClpP and is involved in promoting ClpP proteolytic activity.     

Both ATPase Domains of ClpA Are Critical for Processing of Stable Protein Structures

ClpA is a ring-shaped hexameric chaperone that binds to both ends of the protease ClpP and catalyzes the ATP-dependent unfolding and translocation of substrate proteins through its central pore into the ClpP cylinder. Here we study the relevance of ATP hydrolysis in the two ATPase domains of ClpA. We designed ClpA Walker B variants lacking ATPase activity in the first (D1) or the second ATPase domain (D2) without impairing ATP binding. We found that the two ATPase domains of ClpA operate independently even in the presence of the protease ClpP or the adaptor protein ClpS. Notably, ATP hydrolysis in the first ATPase module is sufficient to process a small, single domain protein of low stability. Substrate proteins of moderate local stability were efficiently processed when D1 was inactivated. However, ATP hydrolysis in both domains was required for efficiently processing substrates of high local stability. Furthermore, we provide evidence for the ClpS-dependent directional translocation of N-end rule substrates from the N to C terminus and propose a mechanistic model for substrate handover from the adaptor protein to the chaperone.     

Location of Dual Sites in E. coli FtsZ Important for Degradation by ClpXP; One at the C-Terminus and One in the Disordered Linker

ClpXP is a two-component ATP-dependent protease that unfolds and degrades proteins bearing specific recognition signals. One substrate degraded by Escherichia coli ClpXP is FtsZ, an essential cell division protein. FtsZ forms polymers that assemble into a large ring-like structure, termed the Z-ring, during cell division at the site of constriction. The FtsZ monomer is composed of an N-terminal polymerization domain, an unstructured linker region and a C-terminal conserved region. To better understand substrate selection by ClpXP, we engineered FtsZ mutant proteins containing amino acid substitutions or deletions near the FtsZ C-terminus. We identified two discrete regions of FtsZ important for degradation of both FtsZ monomers and polymers by ClpXP in vitro. One region is located 30 residues away from the C-terminus in the unstructured linker region that connects the polymerization domain to the C-terminal region. The other region is near the FtsZ C-terminus and partially overlaps the recognition sites for several other FtsZ-interacting proteins, including MinC, ZipA and FtsA. Mutation of either region caused the protein to be more stable and mutation of both caused an additive effect, suggesting that both regions are important. We also observed that in vitro MinC inhibits degradation of FtsZ by ClpXP, suggesting that some of the same residues in the C-terminal site that are important for degradation by ClpXP are important for binding MinC.     

Multiple Sequence Signals Direct Recognition and Degradation of Protein Substrates by the AAA+ Protease HslUV

Proteolysis is important for protein quality control and for the proper regulation of many intracellular processes in prokaryotes and eukaryotes. Discerning substrates from other cellular proteins is a key aspect of proteolytic function. The Escherichia coli HslUV protease is a member of a major family of ATP-dependent AAA+ degradation machines. HslU hexamers recognize and unfold native protein substrates and then translocate the polypeptide into the degradation chamber of the HslV peptidase. Although a wealth of structural information is available for this system, relatively little is known about mechanisms of substrate recognition. Here, we demonstrate that mutations in the unstructured N-terminal and C-terminal sequences of two model substrates alter HslUV recognition and degradation kinetics, including changes in V_max. By introducing N- or C-terminal sequences that serve as recognition sites for specific peptide-binding proteins, we show that blocking either terminus of the substrate interferes with HslUV degradation, with synergistic effects when both termini are obstructed. These results support a model in which one terminus of the substrate is tethered to the protease and the other terminus is engaged by the translocation/unfolding machinery in the HslU pore. Thus, degradation appears to consist of discrete steps, which involve the interaction of different terminal sequence signals in the substrate with different receptor sites in the HslUV protease.     

Stepwise activity of ClpY (HslU) mutants in the processive degradation of Escherichia coli ClpYQ (HslUV) protease substrates

In Escherichia coli, ClpYQ (HslUV) is a two-component ATP-dependent protease composed of ClpY (HslU), an ATPase with unfolding activity, and ClpQ (HslV), a peptidase. In the ClpYQ proteolytic complex, the hexameric rings of ClpY (HslU) are responsible for protein recognition, unfolding, and translocation into the proteolytic inner chamber of the dodecameric ClpQ (HslV). Each of the three domains, N, I, and C, in ClpY has its own distinct activity. The double loops (amino acids [aa] 137 to 150 and 175 to 209) in domain I of ClpY are necessary for initial recognition/tethering of natural substrates such as SulA, a cell division inhibitor protein. The highly conserved sequence GYVG (aa 90 to 93) pore I site, along with the GESSG pore II site (aa 265 to 269), contribute to the central pore of ClpY in domain N. These two central loops of ClpY are in the center of its hexameric ring in which the energy of ATP hydrolysis allows substrate translocation and then degradation by ClpQ. However, no data have been obtained to determine the effect of the central loops on substrate binding or as part of the processivity of the ClpYQ complex. Thus, we probed the features of ClpY important for substrate engagement and protease processivity via random PCR or site-specific mutagenesis. In yeast two-hybrid analysis and pulldown assays, using isolated ClpY mutants and the pore I or pore II site of ClpY, each was examined for its influence on the adjoining structural regions of the substrates. The pore I site is essential for the translocation of the engaged substrates. Our in vivo study of the ClpY mutants also revealed that an ATP-binding site in domain N, separate from its role in polypeptide (ClpY) oligomerization, is required for complex formation with ClpQ. Additionally, we found that the tyrosine residue at position 408 in ClpY is critical for stabilization of hexamer formation between subunits. Therefore, our studies suggest that stepwise activities of the ClpYQ protease are necessary to facilitate the processive degradation of its natural substrates.     

Examination of the nucleotide‐linked assembly mechanism of E. coli ClpA

Escherichia coli ClpA is a AAA+ (ATPase Associated with diverse cellular Activities) chaperone that catalyzes the ATP‐dependent unfolding and translocation of substrate proteins targeted for degradation by a protease, ClpP. ClpA hexamers associate with one or both ends of ClpP tetradecamers to form ClpAP complexes. Each ClpA protomer contains two nucleotide‐binding sites, NBD1 and NBD2, and self‐assembly into hexamers is thermodynamically linked to nucleotide binding. Despite a number of studies aimed at characterizing ClpA and ClpAP‐catalyzed substrate unfolding and degradation, respectively, to date the field is unable to quantify the concentration of ClpA hexamers available to interact with ClpP for any given nucleotide and total ClpA concentration. In this work, sedimentation velocity studies are used to quantitatively examine the self‐assembly of a ClpA Walker B variant in the presence of ATP. In addition to the hexamerization, we observe the formation of a previously unreported ClpA dodecamer in the presence of ATP. Further, we report apparent equilibrium constants for the formation of each ClpA oligomer obtained from direct boundary modeling of the sedimentation velocity data. The energetics of nucleotide binding to NBD1 and NBD2 are revealed by examining the dependence of the apparent association equilibrium constants on free nucleotide concentration.