# Structural basis for the recognition of K48-linked Ub chain by proteasomal receptor Rpn13

## Abstract

The interaction between K48-linked ubiquitin (Ub) chain and Rpn13 is important for proteasomal degradation of ubiquitinated substrate proteins. Only the complex structure between the N-terminal domain of Rpn13 (Rpn13NTD) and Ub monomer has been characterized, while it remains unclear how Rpn13 specifically recognizes K48-linked Ub chain. Using single-molecule FRET, here we show that K48-linked diubiquitin (K48-diUb) fluctuates among distinct conformational states, and a preexisting compact state is selectively enriched by Rpn13NTD. The same binding mode is observed for full-length Rpn13 and longer K48-linked Ub chain. Using solution NMR spectroscopy, we have determined the complex structure between Rpn13NTD and K48-diUb. In this structure, Rpn13NTD simultaneously interacts with proximal and distal Ub subunits of K48-diUb that remain associated in the complex, thus corroborating smFRET findings. The proximal Ub interacts with Rpn13NTD similarly as the Ub monomer in the known Rpn13NTD:Ub structure, while the distal Ub binds to a largely electrostatic surface of Rpn13NTD. Thus, a charge-reversal mutation in Rpn13NTD weakens the interaction between Rpn13 and K48-linked Ub chain, causing accumulation of ubiquitinated proteins. Moreover, physical blockage of the access of the distal Ub to Rpn13NTD with a proximity-attached Ub monomer can disrupt the interaction between Rpn13 and K48-diUb. Taken together, the bivalent interaction of K48-linked Ub chain with Rpn13 provides the structural basis for Rpn13 linkage selectivity, which opens a new window for modulating proteasomal function.

## Introduction

Ubiquitination is a post-translational modification, in which ubiquitin (Ub), a 76-residue protein, is conjugated to a lysine residue of a substrate protein. The modifying Ub is referred to as proximal Ub. Additional Ub units can be further attached to the proximal Ub, in which an isopeptide bond forms between the C-terminal carboxylate group of the incoming Ub (referred to as distal Ub) and an amine group of the proximal Ub. The amine group in the proximal Ub can be one of the seven lysine side chains or N-terminus, for a total of eight homotypic Ub linkages. Ub chains with different linkages encode different cell signals, among which K48-linked Ub chain can target the ubiquitinated substrate protein for proteasomal degradation.

The 26 S proteasome is a complex macromolecular machine that is made up of more than 30 types of proteins. Proteasomal degradation can be initiated upon specific interaction between substrate-conjugated K48-linked Ub chain and ubiquitin receptor in the proteasome. Three intrinsic Ub receptors have been identified, including Rpn11, Rpn10/S5a2, and Rpn13/Adrm13, while the interactions between ubiquitin-like proteins in shuttle proteins and the proteasome as well as some other mechanisms may also be at play for targeting substrate proteins for degradation1,4,5. Structural characterizations of Rpn1, Rpn10, and Rpn13 have shown that, to achieve specific recognition, both proximal Ub and distal Ub in K48-linked diubiquitin (K48-diUb) interact with the two ubiquitin-interacting motifs in Rpn102, or with a toroid of helices in Rpn11. What is puzzling is that, only the complex structure between Ub monomer and Rpn13 N-terminal domain (Rpn13NTD) has been determined6,7, and only a modest enhancement in binding affinity has been observed for Rpn13 interaction with K48-diUb than with Ub monomer3. As a result, it has been previously proposed that only the proximal Ub of K48-diUb interacts with Rpn13, while the distal Ub is free to interact with other proteins8,9. Thus, it remains to be established whether and how Rpn13 can interact with two Ub subunits simultaneously in the context of K48-linked Ub chain.

A 26S proteasome comprises a 20S core particle and two 19S regulatory particles stacked on both ends of the 20 S particle. Unlike Rpn1 and Rpn10, Rpn13 in the 19S particle has not been visualized from the cryoEM images of human 26S proteasome10,11. There are several reasons for the missing electron density of Rpn13. First, biochemical and mass spectrometry analyses showed that only one copy of Rpn13 exists in the 26S proteasome, which means that Rpn13 is at 1:2 molar ratio with other regulatory proteins in the 19S particles12. Second, Rpn13 is recruited to the proteasome by interacting with the C-terminal tail of Rpn27,13, which is largely unstructured11,14. Therefore, Rpn13 is mobile with respect to the proteasome. Third, Rpn13 itself is dynamic, with a 150-residue long flexible linker connecting Rpn13NTD and the C-terminal domain.

Rpn13 plays redundant roles with Rpn1 and Rpn10 for Ub binding and substrate degradation. Yet, evidences have suggested that Rpn13 is uniquely involved in proteasomal degradation of certain proteins. Rpn13 is often over-expressed in malignant diseases15. Covalent binding of a small molecule to Rpn13NTD, occupying the binding site of Rpn2, can inhibit –ER stress-induced protein degradation and induce apoptosis16,17. As such, Rpn13 has been identified as an important target for the treatment of multiple myeloma and several other types of cancers. Rpn13 is also responsible for the degradation of IκB for the activation of NF-κB signaling pathway18. More interestingly, Rpn13 is subjected to ubiquitination at residue K3419,20, and the modification attenuates proteasomal activity by perturbing the interaction between Rpn13 and K48-linked Ub chain21. Despite all the biological and pharmaceutical significances of Rpn13, it remains unclear how Rpn13 specifically recognizes K48-linked Ub chain to fulfill its function.

It has been shown that Ub can noncovalently interact with each other, and the noncovalent interactions are modulated by the covalent Ub linkage in di- or poly-Ub chain22,23. The ligand-free K48-diUb has been crystalized in a fully closed state24. However, increasing evidences have indicated that K48-diUb also exists in open conformations in solution25,26,27. Furthermore, it has been shown that ligand-free K48-diUb fluctuates among multiple conformational states, ready to interact with different partner proteins26,27. While the open conformational states of K48-diUb are implicated in binding to K48-linkage specific deubiquintase26 and to E3-ligase28, the fully closed or compact state of K48-diUb is thought to represent a reservoir state25. This because in the compact state structure of ligand-free K48-diUb, key hydrophobic residues for interacting with other proteins, including L8, I44 and V70, are largely buried at the dimer interface24,27, and the two domains may have to open up for binding to specific partner proteins.

To understand how Rpn13 can be specifically recognized by K48-linked Ub chain, we resort to single-molecule fluorescence resonance energy transfer (smFRET)29,30. The advantage of smFRET is that only two interacting molecules are investigated under near physiological conditions31. At the single-molecule level, complications from protein self-association and non-specific interactions, commonly encountered in bulk measurements, can be minimized. Moreover, smFRET measurement allows rapid identification of constituting conformational states of protein structure, which would otherwise be difficult to deconvolute from the ensemble-averaged bulk measurement. In conjunction with smFRET measurements, we have used NMR spectroscopy to determine the solution structure of Rpn13NTD:K48-diUb complex. Together, we have shown that K48-diUb alternates among multiple conformational states, and it is the preexisting compact state of K48-linked Ub chain that selectively interacts with Rpn13.

## Results

### K48-linked Ub chain dynamically fluctuates among multiple conformations

We used smFRET to assess the spatial arrangement of the two Ub subunits in ligand-free K48-diUb. We introduced fluorophores, Alexa Fluor 488 and Cy5, at the N-terminus of the distal Ub and the C-terminus of the proximal Ub (Supplementary Fig. S1a). Using expectation maximization algorithm32, the smFRET profile of K48-diUb can be best described as three overlapping FRET species (Supplementary Fig. S2). The high-, medium-, and low-FRET species are centered at FRET efficiencies of 0.74, 0.57 and 0.23, with respective populations of ~48, ~39, and ~13% (Fig. 1a). The FRET distances between the center of fluorophores are calculated at ~43, ~50, ~64 Å, respectively. Thus, the high-, medium-, and low-FRET species can be assigned to compact, semi-open, and open states that are preexisting for K48-diUb.

The conformational fluctuation of K48-diUb has been previously investigated using smFRET26. In that study, the authors resolved two smFRET species for K48-diUb, namely high-FRET and low-FRET species with center FRET efficiencies at 0.69 and 0.41, respectively, in addition to a no-FRET species. The authors showed that the titration of an inactivated OTUB1 (OTUB1i), a deubiquitinase specific for K48 isopeptide linkage33, mainly enriches the low-FRET species. Their observation led to the proposal that K48-diUb can be specifically recognized by OTUB1 through a conformational selection mechanism. Here we repeated the smFRET titration, and found that OTUB1i enriches the medium-FRET species (Supplementary Fig. S3a-c). Moreover, the populational increase of the medium-FRET species upon OTUB1i titration can be fitted to a binding isotherm with a KD value of 7.7 ± 0.1 µM (Supplementary Fig. S3d), which is close to the KD value previously reported26. Thus, the medium-FRET species in the present study should correspond to the low-FRET species in the previous study, and the discrepancy may arise from different photon counting efficiencies and fitting routines of smFRET time traces.

To further confirm that K48-diUb fluctuates among three preexisting conformational states, we introduced fluorophores at additional pairs of fluorophore conjugation sites (Supplementary Fig. S1b-d). For the alternative sites, although the center efficiencies of the FRET species differ, the smFRET profiles can still be described as three overlapping FRET species with similar populations (Supplementary Fig. S4). For example, for the 25 C/25 C conjugation sites, the high-, medium-, and low-FRET species are centered at FRET efficiencies of 0.68, 0.54 and 0.21, with respective populations of ~48%, ~43%, and ~9% (Supplementary Fig. S4d). Thus, conjugation of the fluorophores is unlikely to perturb protein structure, and the smFRET measurements have revealed the inherent conformational dynamics of K48-diUb regardless of the conjugation site, that is, the K48-diUb alternates among three distinct states in the absence of a partner protein.

To further assess whether Ub subunits in longer K48-linked Ub chain also fluctuates among multiple conformational states, we analyzed the smFRET profile of K48-linked tetra-ubiquitin (K48-tetraUb). We conjugated the fluorophores at two N25C sites in the distal diUb (with respected to the proximal diUb) of K48-tetraUb. The smFRET profile can also be fit as three overlapping FRET species (Supplementary Fig. S5a). Although the relative populations of the three species are different from that of an isolated K48-diUb with fluorophores conjugated at same sites (Supplementary Fig. S4d), the center FRET efficiencies of the FRET species are almost identical. Thus, the conformational states of the diUb unit is likely preserved in longer K48-linked Ub chain, while the difference in the relative populations can be a result of modulatory effect of the proximal diUb.

### The high-FRET species is selectively enriched by Rpn13

To assess the relationship between the conformational dynamics of K48-linked Ub chain and Rpn13 recognition, we titrated 150 pM fluorophore-labeled K48-diUb with human full-length Rpn13 protein. Interestingly, upon the addition of 100 nM Rpn13, the preexisting high-FRET species of K48-diUb is enriched from ~48% to ~57% (Fig. 1a, b), while the population of medium- and low-FRET species decreases. The population of high-FRET species continues to increase with more Rpn13 added (Fig. 1c), and the binding isotherm can be fitted to a KD value of 119 ± 24 nM (Fig. 1d).

It has been previously shown that Rpn13NTD is mainly responsible for Ub binding6,7. Thus, we performed smFRET titration for 150 pM fluorophore-labeled K48-diUb using only Rpn13NTD comprising only the first 150 residues. Rpn13NTD also selectively enriches the high-FRET species of K48-diUb (Fig. 1e, f). The population increase of high-FRET species can be fitted to afford a KD value of 33.1 ± 6.9 nM (Fig. 1g), which is about 4-fold increase in affinity as compared to full-length Rpn13. If the fluorophores are attached at alternative conjugation sites (Supplementary Fig. S1b and S4b), titration of Rpn13NTD also causes the enrichment of equivalent FRET species following a similar trend, affording almost identical KD value (Supplementary Fig. S6). Thus, the appearance additional residues may have a small inhibitory effect on the interaction between Rpn13NTD and K48-diUb.

Furthermore, we performed smFRET titration for 150 pM K48-tetraUb with fluorophores conjugated at the distal diUb (Supplementary Fig. S5a). Titration of Rpn13NTD selectively enriches the preexisting high-FRET species of the fluorophore-labeled distal diUb (Supplementary Fig. S5b-d), and the binding isotherm can be fitted to a KD value of 214 ± 70 nM (Fig. 1h). The 7-fold reduction in binding affinity compared to Rpn13NTD:K48-diUb interaction can be attributed to the self-association between distal diUb and proximal diUb34, making the binding surface less available for Rpn13 binding. Importantly, for all the smFRET titrations of K48-diUb or K48-tetraUb, the center efficiency of the high-FRET species changes little in the absence or presence of Rpn13 or Rpn13NTD. This means that Rpn13 binds to a preexisting conformation of K48-diUb through a conformational selection mechanism, whether K48-diUb is by itself or part of longer Ub chain. It also means that the high-FRET species, i.e. the preexisting compact state of K48-diUb, is not fully closed, and is ready to interact with other proteins. Importantly, the selective enrichment of the high-FRET species also indicates that Rpn13 should interact with both Ub subunits at the same time.

### Rpn13 preferentially binds to K48-linked diUb

To assess Rpn13 binding specificity for K48 linkage, we assessed the binding affinities between Rpn13 and other types of Ub proteins. With the titration of 200 nM Rpn13NTD into 150 pM fluorophore-labeled K48-diUb, the population of the high-FRET species increases by 15% from ~48% to ~63% (Fig. 1f). At this concentration, K48-diUb binding is not yet saturated with Rpn13NTD (Fig. 1g) and therefore, the population of the high-FRET species is sensitive to small change of the available Rpn13NTD concentration. Unlabeled K48-diUb can compete for the binding to Rpn13NTD with fluorophore-labeled K48-diUb. With the addition of 150 pM unlabeled K48-diUb, the population of the high-FRET species decreases by 7.5%, corresponding to a 50% inhibition of Rpn13NTD-bound fluorophore-labeled K48-diUb (Fig. 2a). With the addition of 300 pM unlabeled K48-diUb, the population of high-FRET species decreases by 11%, amounting to a total of 73% inhibition (Fig. 2b). As such, both fluorophore-labeled and unlabeled K48-diUb compete for the same binding interface on Rpn13 with similar binding affinity. This also means that conjugation of the fluorophores to K48-diUb causes little perturbation to the interaction between Rpn13NTD and K48-diUb.

Furthermore, to the mixture of 200 nM Rpn13NTD and 150 pM fluorophore-labeled K48-diUb, we added unlabeled Ub monomer, K63-linked diubiquitin or M1-linked diubiquitin, to assess whether other types of Ub can displace K48-diUb. The population of the high-FRET species change little with the addition of 150 pM or 300 pM Ub monomer (Fig. 2c, d). With the addition of 150 pM K63-diUb and 150 pM M1-diUb, the population of the high-FRET species are also unchanged within the error range (Fig. 2e, f). On the other hand, direct titration of 1 µM Rpn13NTD into fluorophore-conjugated K63-diUb and M1-diUb causes little change to their preexisting smFRET profiles (Supplementary Fig. S7). Together, Rpn13NTD selectively interacts with K48-diUb.

### Solution structure of Rpn13NTD:K48-diUb complex

Though we have now shown Rpn13NTD selectively interacts with K48-diUb, only the complex structure between Rpn13NTD and Ub monomer has been determined6,8. To understand how the two subunits in K48-diUb can simultaneously interact with Rpn13NTD, we set out to determine the solution structure of Rpn13NTD:K48-diUb complex using nuclear magnetic resonance (NMR). Upon the formation of protein complex, interfacial residues would experience different local environment and therefore display NMR signals. We found that, titrating unlabeled K48-diUb to 15N-labeled Rpn13 causes large chemical shift perturbations (CSPs), which mainly involve residues 73–83 and 93–106 (Fig. 3a). These residues form a contiguous surface on Rpn13, covering an area larger than expected from the previously determined complex structure between Rpn13NTD and Ub monomer6,7. On the other hand, titrating unlabeled Rpn13NTD to K48-dUb, with either proximal or distal Ub 15N-labeled and the other subunit unlabeled, the CSPs are mainly observed for residues in the β-sheet region of both Ub subunits. Some of the interfacial residues also disappeared upon the formation of the complex (Fig. 3b, c).

Nuclear Overhauser effect (NOE) reports distance relationship (<6 Å) between nuclei. Moreover, 13C half-filtered NMR experiment can provide NOE between 12C-bonded proton and 13C-bonded proton, i.e. intermolecular distance relationship. We obtained intermolecular NOEs between Rpn13NTD and the proximal Ub, between Rpn13NTD and the distal Ub, and between proximal Ub and distal Ub (Supplementary Fig. S8). Furthermore, we conjugated a maleimide-EDTA-Mn2+ paramagnetic probe at E24C site of the distal Ub, and collected paramagnetic relaxation enhancement (PRE) for backbone amide protons of Rpn13NTD, following the established protocol22,35. As assessed either by peak intensity ratio of paramagnetic versus diamagnetic spectra or by transverse relaxation enhancement Γ2 rate, Rpn13 residues 30–42 and 101–106 experience large PREs with severe line broadening (Fig. 3d, e). We also conjugated the paramagnetic probe at N25C site of the proximal Ub, and evaluated the transverse relaxation enhancement rate Γ2 for the distal Ub (Fig. 3f). Large PRE values are observed between the two Ub subunits of the ligand-free K48-diUb, and the addition of Rpn13NTD increases inter-Ub PREs but with a similar PRE profile. The PRE NMR experiments thus confirm that Rpn13NTD enriches the preexisting compact state of K48-diUb.

To refine the Rpn13NTD:K48-diUb complex structure against experimental restraints, we performed rigid body docking with torsion angle freedom given to the diUb linker residues and to the side chains of interfacial residues. For the 20 lowest-energy conformers, the root-mean-square (RMS) deviation for backbone heavy atoms of all rigid residues is 0.86 ± 0.54 Å (Supplementary Fig. S9 and Table S1). The two Ub subunits of K48-diUb remain associated in the complex, burying solvent accessible surface area (SASA) of ~1130 Å2. On the other hand, Rpn13NTD wedges in, burying ~940 Å2 of SASA with the proximal Ub and ~1300 Å2 of SASA with the distal Ub (Fig. 4a). The complex structure between Rpn13NTD and proximal Ub of K48-diUb in the present study is similar to the known complex structure between Rpn13NTD and Ub monomer6,7, with the RMS difference for backbone heavy atoms 2.17 ± 0.31 Å (Supplementary Fig. S10a). Interestingly, though the hydrophobic residues L8, I44 and V70 in the proximal Ub are involved for interacting with Rpn13, the same three residues in the distal Ub are buried in Ub-Ub interface.

The Rpn13NTD:K48-diUb complex structure can also be corroborated by single-molecule FRET data. Based on the complex structure, we modeled the fluorophores at their conjugation sites in K48-diUb. The average distance is 43.2 ± 5.8 Å between the geometric centers of fluorophore aromatic rings, which corresponds to a theoretical FRET efficiency of 0.73 ± 0.13 (Supplementary Fig. S10b). This value is almost the same as the center efficiency observed for the high-FRET species (Fig. 1a).

### Disruption of Rpn13NTD: distal Ub interaction causes accumulation of ubiquitinated proteins in cell

In the complex structure between Rpn13NTD and K48-diUb, the interaction between Rpn13NTD and the proximal Ub is similar to that between Rpn13NTD and Ub monomer, as previously reported (Supplementary Fig. S10a). Thus, we designed experiments to assess functional importance for the interaction between Rpn13NTD and the distal Ub of K48-diUb. Many charged residues are located at the interface between Rpn13NTD and the distal Ub of K48-diUb, and therefore electrostatic force may play an important role for stabilizing the complex (Fig. 4b). Among them, residue D39 in the distal Ub is close to residue R104 in Rpn13. We thus mutated Rpn13 residue R104 to a glutamate, and titrated the mutant Rpn13NTD to fluorophore-labeled K48-diUb. The mutant protein enriches the high-FRET species of K48-diUb (Supplementary Fig. S11). However, the binding affinity becomes much weaker. The binding isotherm can be fitted to a KD value of 10.0 ± 3.3 µM, about 300 times weaker than the wildtype Rpn13NTD (Fig. 4c). As such, the association with the distal Ub is important for the specific recognition between Rpn13 and K48-diUb.

The decreased binding affinity of the R104E mutant allowed us to assess the functional importance of the interaction between Rpn13 and K48-linked Ub chain. Transient transfection of wildtype Rpn13 slightly increases the amount of K48-linked polyUb proteins (Fig. 4d). It is possible that, upon Rpn13 transfection, an excess amount of free Rpn13 compete for binding to the K48-linked polyUb proteins with proteasome-associated Rpn13, thus making the recruitment of ubiquitinated substrate proteins to the proteasome less efficient. On the other hand, the transfection of Rpn13 R104E mutant greatly increases the amount of K48-linked polyUb proteins, as compared to the cells transfected with wildtype Rpn13 (Fig. 4d). As a positive control, we incubated the cells with 1 µM MG132, a potent proteasome inhibitor36. Due to the blockage of degradation of labile proteins, addition of MG132 significantly increases the amount of K48-linked polyUb proteins. Taken together, R104E mutation of Rpn13 can lead to the accumulation of ubiquitinated substrate proteins. This can be attributed to weaker interaction between proteasome-associated Rpn13 mutant and K48-diUb and K48-poyUb.

Heat shock can decrease cell viability. We found that 30 min heat shock at 43 °C can decrease the viability of HEK293 cells to 75%. Similar to the previous reports36,37, we also found that the treatment of MG132 has a protective effect on cell survival upon heat shock, with cell viability decreased to ~90% (Fig. 4e). This is because MG132 inhibits proteasomal degradation, making the otherwise short-living heat shock proteins more available (Fig. 4d). We also assayed the viability of heat-shocked cells transfected with wildtype Rpn13, and found no significant difference from the control cells without Rpn13 transfection. On the other hand, cell viability of Rpn13 R104E transfected cells decreased to ~83% upon heat shock, which is significantly higher than that of control cells and cells transfected with wildtype Rpn13 (Fig. 4e). This implies that the mutant Rpn13 has a protective effect on cell survival upon heat shock, similar to the effect of MG132. Taken together, the interaction between Rpn13 and K48-linked Ub chain is essential for Rpn13-mediated recognition of ubiquitinated substrate proteins by the proteasome, while an interfacial point mutation in Rpn13 can cause accumulation of certain substrate proteins such as heat shock proteins, and confer thermotolerance to the transfected cells.

### Rpn13NTD:K48-diUb interaction can be targeted to modulate Rpn13 function

Rpn13 is dynamically recruited to the proteasome via the interaction between Rpn13NTD and the C-terminal tail of Rpn27,13. The complex structure here indicates that the binding interface on Rpn13NTD for Rpn2 is close to but does not overlap with the binding interface for the distal Ub of K48-diUb (Fig. 5a). We thus premixed the last 16 residues of Rpn2 (Rpn2CTD) with Rpn13NTD or with full-length Rpn13 at 1:1 ratio, and titrated Rpn13NTD:Rpn2CTD complex to fluorophore-labeled K48-diUb. The premixing of Rpn2CTD increased the KD value of Rpn13NTD:K48-diUb from 33.1 ± 6.9 nM (Figs. 1g) to 66.8 ± 13.9 nM (Supplementary Fig. S12a-c and Fig. 5b), while decreased the KD value of Rpn13:K48-diUb from 119 ± 24 nM (Figs. 1d) to 43.9 ± 12.8 nM (Supplementary Fig. S12d-f and Fig. 5c). Thus, providing the measurement uncertainties, the association of Rpn2CTD cause only small perturbation for the binding affinity between Rpn13 and K48-diUb, which may also have to do with the presence of linker and the C-terminal domain of Rpn13.

Rpn2 and distal Ub of K48-diUb occupy nearby surfaces on Rpn13NTD. Therefore, a fusion protein with Ub monomer appended at the C-terminus of Rpn2CTD may protrude out and interfere with the interaction between Rpn13NTD with the distal Ub of K48-diUb (Fig. 5d). As we have shown, addition of 200 nM Rpn13NTD increases the population of the high-FRET species of 150 pM fluorophore-labeled K48-diUb to ~63% (Fig. 1f), while addition of Ub monomer cannot compete for Rpn13NTD binding (Fig. 2c, d). When we added additional 150 pM unlabeled Rpn2CTD-Ub fusion protein, the population of high-FRET species decreases by ~4% to ~59% (Fig. 5e). On the other hand, we have shown that, addition of 200 nM full-length Rpn13 increases the population of the high-FRET species of 150 pM fluorophore-labeled K48-diUb to ~60% (Fig. 1c). Further addition of 150 pM unlabeled Rpn2CTD-Ub fusion protein decreases the population of high-FRET species by ~4.5 to ~55.5% (Fig. 5f). Note that appending a Ub at Rpn2CTD has almost no effect on the interaction between Rpn2CTD and Rpn13NTD (Supplementary Fig. S13). Thus, our data indicate that Rpn2 and K48-diUb binding interfaces on Rpn13NTD are close to each other. More importantly, Rpn2-anchored Ub can physically block the access of the distal diUb to Rpn13, and weaken the interaction between K48-diUb and Rpn13.

## Discussion

In the present study, we have characterized the conformational dynamics of K48-diUb, and elucidated how Rpn13, a proteasomal receptor for ubiquitinated substrate proteins, can specifically interact with K48-linked Ub chain. Our finding thus explains linkage specificity of Rpn13-Ub interaction, and fills a missing piece of the puzzle about proteasomal receptor recognition—specific interactions with Rpn10, Rpn1 and Rpn13 all require the presence of at least two covalently linked Ub subunits. Using the smFRET technique, we show that K48-diUb fluctuates among three conformational states, and the high-FRET species is selectively enriched by Rpn13NTD. The selectivity also holds for full-length Rpn13 and for K48-trtraUb. The smFRET titrations further indicate that Ub monomer, K63-linked diUb, and M1-linked diUb do not interact with Rpn13. Thus, K48-diUb and K48-polyUb are preferred binding partner of Rpn13.

Using NMR spectroscopy, we have determined the solution structure of the complex between Rpn13NTD and K48-diUb by refining against intermolecular NOE and PRE restraints. The complex structure shows that the interaction between the distal Ub and Rpn13NTD is mainly electrostatic and possibly dynamic, which can explain the sparsity of inter-subunit NOEs between the distal Ub and Rpn13NTD. Providing that the distal Ub of K48-diUb transiently opens up, noncovalent interactions can occur between Ub subunits22. This would explain a 2:1 stoichiometry between K48-diUb and Rpn13NTD, or a 1:1 stoichiometry between Ub monomer and Rnpn13NTD previously observed in bulk titrations3,7,9. Indeed, the Rpn13NTD-Ub complex has been crystalized as a dimer (Supplementary Fig. S14)7. Herein, the structure of Rpn13NTD:K48-diUb complex clearly explains how the two Ub subunits of K48-diUb simultaneously interact with Rpn13NTD. The NMR structure is also corroborated by the smFRET data, as the calculated and observed FRET efficiencies agree with each other (Supplementary Fig. S9b).

We have also shown that Rpn13NTD:K48-diUb interaction can be disrupted by a charge-reversal mutation introduced at Rpn13NTD facing the distal Ub of K48-diUb, or by blocking the access of the distal Ub with an Ub monomer fused to Rpn2CTD and anchored at adjacent binding site. Rpn13 itself can be ubiquitinated at residue K3421. In Rpn13NTD:K48-diUb complex structure, Rpn13 residue K34 is much closer to the C-terminus of the distal Ub of K48-diUb than to the C-terminus of the proximal Ub (Fig. 5a). Owing to high effective concentration, a Ub covalently attached at Rpn13 residue K34 can compete with the distal Ub of K48-diUb for Rpn13 binding, but not with the proximal Ub or Ub monomer as previously proposed21. Thus, the present study explains how autoubiquitination can inhibit the function of Rpn13. The binding surface of the distal Ub on Rpn13NTD can also be a novel target of pharmaceutical intervention of proteasomal function.

In summary, we have used smFRET to analyze the number of inter-converting conformational states and their respective populations, and used NMR spectroscopy to determine the structure of the constituting conformational state. Both experiments were conducted in solution, and the FRET data measured for individual molecule and NMR data measured for bulk molecules corroborate each other. As such, the conjoint use of bulk and single-molecule measurements gives us better insight of protein dynamics and the mechanism of protein function. We envision such integrative use of the two solution-based techniques can be generally used for characterizing other multi-subunit and multi-domain proteins.

## Materials and methods

### Protein sample preparation

Human ubiquitin was cloned to pET-11a vector (Novagen), and point mutations were introduced using the QuikChange strategy using Kod plus enzyme (Toyobo). To ensure a single final product of diubiquitin, K48R (or K63R) mutation was introduced to the distal Ub and 77D was introduced to the proximal Ub. For site-specific conjugation of fluorescent probes (or paramagnetic probe), cysteine mutations were included to ubiquitin, one at a time, including 76 C (mutated from Gly76), 25 C (mutated from Asn25), 24 C (mutated from Glu24), and 0 C (MSAC sequence appended at the N-terminus). Human Rpn13NTD (residues 1–150) was cloned into a pET-11a vector. With a C91A mutation introduced to human OTUB1 (residues 40–271) and with a hexa-histidine tag appended at protein N-terminus, the resulting protein, OTUB1i, has no deubiquitinase activity and was also cloned to pET-11a vector. Rpn2CTD (GPQEPEPPEPFEYIDD in sequence at the very C-terminus of Rpn2) was purchased from GL Biochem (Shanghai). Rpn2CTD was also appended at the N-terminus of ubiquitin.

Ubiquitin monomer, M1-diUb, or Rpn2CTD-Ub was expressed in BL21 star cells; the expression was induced with the addition of 1 mM IPTG at OD600 value of ~0.8, and the culture was continued to grow at 37 °C for ~4 h. Expression of Rpn13NTD or full-length Rpn13 was induced with the addition of 0.2 mM IPTG at OD600 of 0.8, and the culture was gown overnight at 20 °C. Expression of OTUB1i was induced with the addition of 50 µM IPTG at OD600 of 0.8, and the culture was gown overnight at 16 °C. For expressing isotopically labeled protein, U-15N-labeled NH4Cl and U-13C-labeled glucose (Sigma-Aldrich) were used as the sole nitrogen and carbon sources, and the cells were grown in M9-minimum medium prepared either H2O or D2O (Sigma-Aldrich). Rpn13NTD, ubiquitin (or ubiquitin mutants), or M1-diUb was purified on Sepharose SP, Sephacryl S100 and Source-S columns. OTUB1 was purified from His-affinity and Superdex-75 columns. The full-length Rpn13 was purified with sequential use His-Trap, Source-Q and Sephacryl S100 columns (GE Healthcare). Rpn2CTD-Ub was purified using Sepharose Q, Source-Q and Sephacryl S100 sequentially. The identities of the proteins were confirmed using electrospray ionization mass spectrometry (Bruker Daltonics), and the protein concentrations were measured based on UV absorptions at 280 nm.

The ligation between two ubiquitin proteins to afford a diubiquitin was performed following the established protocol38. To ensure a unique ligation product, 0.5 mM proximal Ub appended with residue D77 at the C-terminus was mixed equimolar with the distal Ub carrying a K48R mutation in pH 8.0 buffer with 10 mM Tris•HCl and 1 mM DTT. A mixture of 2.5 μM E1, 20 μM E2–25K, 2 mM ATP, 5 mM MgCl2, 10 mM creatine phosphate (Sigma-Aldrich, catalogue number 27920), 2 U/ml inorganic pyrophosphatase (Sigma-Aldrich, catalogue number I1643), and 1U/ml creatine phosphokinase (Sigma-Aldrich, catalogue number C3755) were added for the reaction. The ligation took place at 30 °C for 6 h and was quenched with the addition of 5 mM DTT and 5 mM EDTA. The K48-diUb protein was purified from the reaction mixture using Superdex 75 and Source-S columns (GE Healthcare) in tandem. To prepare K48-diUb with site-specific cysteine mutations, mutant proteins were used as the starting material for enzyme-catalyzed ligation reaction. Two copy of human ubiquitin genes were fused together to generate M1-linked diubiquitin (M1-diUb). M1-diUb protein was prepared in the same way as Ub monomer. K63-linked diubiquitin (K63-diUb) was prepared as described previously23.

We used Alexa Fluor 488 C5 maleimide (Thermo-Fisher, catalogue number A10254) as the fluorescence donor and Cy5 maleimide (GE Healthcare, catalogue number PA15131) as the fluorescence acceptor. The Förster distance R0 between the dyes is 52 Å39. The dyes were first dissolved in DMSO at 1 mM concentration, and were freshly prepared just before conjugation. The DTT in the buffer for cysteine mutant of K48-diUb was removed by desalting (HiPrep 26/10 Desalting column, GE Healthcare), and the protein was reacted with the pre-mixed excess Alexa488 and Cy5 dyes. The conjugation reaction was performed in dark at room temperature for 4 h, and the product was purified from the reaction mixture using Source-Q column (GE Healthcare). The doubly labeled K48-diUb had absorptions at 280, 493 and 650 nm all three wavelengths, and was further confirmed using mass spectrometry (Bruker Daltonics). Similarly, mixed labeling of fluorophores were introduced at 76 C site of the proximal Ub and 25 C site of the distal Ub in K63-diUb and M1-diUb.

To prepare K48-linked tetra-ubiquitin (K48-tetraUb), residue D77 of the proximal Ub in K48-diUb was deblocked using yeast ubiquitin C-terminal hydrolase-1 (YUH1), which was then ligated to another Ub77D protein, thus to generate K48-linked tri-ubiquitin (K48-triUb). Subsequently, residue D77 in the most proximal Ub of K48-triUb was deblocked and was ligated to a fourth Ub77D protein to eventually generate K48-tetraUb. To prepare K48-tetraUb with cysteine mutations at specific sites, the mutant proteins were used as the starting material for enzyme-catalyzed ligation reactions. Fluorophore conjugation was performed as described above for K48-diUb.

### Single-molecule FRET data collection and analysis

A Nikon A1 confocal microscope was used for single-molecule imaging, and a pulsed interleaved excitation (PIE) scheme40 was employed, by using two SPCM-AQRH detectors (Excelitas) to record the fluorescence time traces at the emission wavelengths of donor and acceptor. Two picosecond pulsed diode laser heads (LDH-P-C-485B and LDH-P-C-640B, PicoQuant) were driven by a PDL 828 Sepia II driver (PicoQuant) at 32 MHz repetition rate and were used for the interleaved excitations of Alexa488 and Cy5. Each laser was coupled to the A1 microscope through a single-mode fiber and was reflected by a dichroic mirror through a water immersion objective (WI 60 × , NA 1.20, Nikon).

The protein sample was loaded to a hybridization chamber (Thermo Fisher, catalogue number S24732). The fluorescence outputs were recorded with TimeHarp 260 PCI board (PicoQuant) built into a PC workstation, and the data were stored in the time-tagged time-resolved module (TTTR, PicoQuant). The photon counts for donor and acceptor emissions were analyzed by bursts41,42 using the parameters previously described43.

The smFRET measurements were performed at 25 °C in 20 mM pH 7.4 HEPES buffer containing 150 mM NaCl, 0.01% (v/v) Tween 20 (Thermo Fisher), 1 mM ascorbic acid and 1 mM methylviologen (Sigma-Aldrich). The concentration of the doubly labeled K48-diUb was ~150 pM. All other unlabeled protein samples were all prepared as stock solutions in 20 mM pH 7.4 HEPES buffer containing 150 mM NaCl and 4 mM DTT and were mixed with K48-diUb prior to each experiment to the final desired concentration. The time traces were binned with 1-ms bins and the threshold for photon count traces was typically 3–5 counts/bin per burst depending on the background dark counts. With high concentrations of ubiquitin receptors added, the threshold for photon count could reach 10 counts/bin, owing to higher background fluorescence.

To determine the number of constituting conformational states for K48-diUb from the smFRET data, we used expectation maximization (EM) algorithm32 for fitting multi-Gaussian mixture model using an in-house program. First, the program makes the hypothesis about the number of different components that make up the observed smFRET data, and then it calculates the likelihood for the corresponding parameters, and finally the program adjusts the parameters to maximize the likelihood. For evaluating the number of Gaussian components, we introduced Bayesian information criterion (BIC) and Akaike information criterion (AIC)44,45, in addition to the correlation coefficient R2. The smFRET measurement and fitting were repeated three times, and the averaged FRET efficiencies, populations and associated standard deviations were reported. To estimate the KD value, the populational increase of a particular smFRET species was fitted against the concentration of unlabeled protein added in Origin 8.0, using the following equation:

$${\Delta P_{{\rm{FRET}}} =} \\ {\frac{{P_{max}\left( {C_{{\rm{partner}}} + C_{{\rm{diUb}}} + K_{\rm{D}} - \sqrt {\left( {C_{{\rm{Partner}}} + C_{{\rm{diUb}}} + K_{\rm{D}}} \right)^2 - 4C_{{\rm{partner}}}C_{{\rm{diUb}}}} } \right)}}{{2C_{{\rm{diUb}}}}}.}$$
(1)

Here ∆PFRET is the change of the population of a particular FRET species, Pmax is the maximum difference for the FRET species with or without the partner protein, Cpartner is the concentration of the partner protein added, CdiUb is the concentration of the fluorophore-conjugated K48-diUb.

### NMR data acquisition and analysis

For the assignment of NMR resonances of Rpn13NTD, U-[2H, 13C, 15N]- and U-[13C, 15N]-labeled proteins were prepared in 20 mM pH 6.5 MES buffer containing 150 mM NaCl, 4 mM DTT, and 10% D2O. The NMR data were collected for a ~0.6 mM sample at 25 °C on a Bruker Avance III 850 MHz spectrometer equipped with a TXI cryogenic probe. The 1H-15N HSQC, HNCA, HNCB and HCCH-TOCSY experiments were used for backbone and side-chain resonance assignment; the final assignment was compared against the known assignment13.

To characterize the interactions between Rpn13NTD and K48-diUb, K48-diUb with the proximal Ub 15N-labeled was titrated with unlabeled Rpn13NTD, K48-diUb with the distal Ub 15N-labeled was titrated with unlabeled Rpn13NTD, or 15N-labeled Rpn13NTD was titrated with unlabeled K48-diUb. Average CSP for each residue was calculated using the equation Δδ = [0.5(ΔδH2 + 0.2ΔδN2)]1/2, in which ΔδH and ΔδN are the CSP values in 1H and 15N dimensions. Both K48-diUb and Rpn13NTD are 0.2 mM in concentration, and the 1:1 complex contains 15N-labeled and unlabeled proteins.

To obtain intermolecular NOEs, we prepared two NMR samples. In one sample, the distal Ub is Ub U-[13C,15N]-labeled, and the proximal Ub and Rpn13NTD are unlabeled. In the other sample, Rpn13NTD is U-[13C,15N]-labeled, and K48-diUb is unlabeled. The concentrations were 0.5 mM for the isotopically labeled protein, and 0.6 mM for the unlabeled protein. Half-filtered 13C NOESY experiments46 were performed with a 120 ms NOE mixing time. Intermolecular NOE cross-peaks were assigned manually and iteratively based on the initial structures for the ternary complex.

Cysteine point mutation was introduced either at the proximal Ub (N25C site) or distal Ub (E24C site), and the mutant protein with natural isotope abundance was conjugated to maleimide-EDTA-Mn2+ paramagnetic probe as previously described22,23. The conjugated product was further purified with Source-Q column, and was confirmed by mass spectrometry. The paramagnetically tagged Ub is enzymatically ligated to another Ub with either 15N enrichment (N25C site) or with natural isotope abundance (E24C site). Transverse relaxation rates Γ2 were measured for the backbone amide protons of 0.3 mM K48-diUb using the established protocol47 in the absence or presence of equimolar Rpn13NTD.

### Structure calculation of the Rpn13NTD:K48-diUb complex

Structural calculation was performed using Xplor-NIH48 with conjoined torsion angle/rigid body simulated annealing refinement49. The starting structures of ubiquitin and Rpn13NTD were taken from PDB structures 1UBQ50 and 2R2Y6, respectively. The initial structure of Rpn13NTD was further refined using intramolecular NOE and residual dipolar coupling restraints collected in pf1 and PEG-hexanol media. The coordinates for ubiquitin were duplicated, and an isopeptide bond was patched between the proximal Ub and distal Ub. The refinement was performed with a target function comprising the intermolecular NOE restraints (between proximal Ub and distal Ub, between proximal Ub and Rpn13NTD, and between distal Ub and Rpn13NTD), a van der Waals repulsive term, and a radius-of-gyration restraint51 for the interfacial residues mapped by the NMR chemical shift perturbation, and the PRE-restraints with the paramagnetic probe patched at N25C site of proximal Ub and at E24C of distal Ub (applied as squared-well potential with ± 10 s−1 upper/lower bounds).

To obtain an initial pose for the ternary complex, for residues 1–71 of the proximal Ub, residues 1–71 of the distal Ub and Rpn13NTD, each was grouped as a rigid body, while complete torsion angle freedom was given to the isopeptide linker including the side chain of K48 in the proximal Ub and residues 72–76 in the distal Ub. Besides experimental restraints, the diubiquitin linker residues were subjected to torsion angle database restraint52 for better packing at the interfaces. The solvent accessible surface area (SASA) was calculated with Xplor-NIH with a probe radius of 1.4 Å, and was subtracted from the SASA calculated from the sub of surface area of the free proteins to obtain the buried SASA. Based on the complex structure, fluorescent probes (maleimide AlexaFluor-488 and Cy5) were patched onto the labeling sites, and the linker between protein backbone and rigid portion of the fluorophore (also including residues 72–76 when labeled at the Ub C-terminus) are given torsion angle freedom and are allowed reorient. The distances between the fluorophores are calculated with < r−6 > averaging to afford expected FRET efficiencies. Structures were selected for their overall energy, and figures were illustrated using PyMol version 2.0 (Schrödinger LLC).

### Cell-based experiments

Human Rpn13 cDNA was purchased (Sino Biologicals, Beijing, China), and was sub-cloned to a pcDNA3.1 vector. A flag tag was appended at the N-terminus of Rpn13, and R104E mutation was site-specifically introduced. The plasmids (pcDNA3.1, pcDNA3.1/flag-hRpn13, and pcDNA3.1/flag-hRpn13/R104E) were transfected to HEK293 cells (Cell Biology of the Chinese of Academy of Sciences, Shanghai, China) using PEI reagent (polyethyleneimine, m.w. 25,000, Alfa Aesar Chemical, Shanghai, China). As a positive control, 6 h after transfection, MG132 (at 1 μM final concentration, Sigma-Aldrich, St. Louis MO, USA) was added to one group of untransfected cells. 48 h after transfection, the cells were washed twice with ice-cold phosphate-buffered saline (PBS) and then lysed at 4 °C in RIPA lysis buffer (Beyotime Biotechnology, Shanghai, China). Protein concentrations were determined by using BCA assay kit (Beyotime Biotechnology).

For western blotting, 50 μg cell lysate was separated in 7.5% SDS page gel, and transferred to 0.45 μm PVDF membrane (Millipore Corporation, Billerica, USA). The membrane was blocked by 5% fat-free milk, and was incubated with rabbit anti-K48 linkage specific polyubiquitin antibody (Cell Signaling Technology, Boston, USA), rabbit anti-flag tag antibody (Proteintech, Wuhan, China) and mouse anti GAPDH antibody (Proteintech) at 4 °C overnight. After being washed three time by using TBST (Tris buffered saline with Tween 20, 50 mM Tri-HCl, 0.15 M sodium chloride, 0.05% Tween 20, pH 7.6), the membrane was incubated in horse HRP-conjugated anti-mouse IgG antibody (Cell Signaling Technology) or goat HRP-conjugated anti-rabbit IgG antibody (Cell Signaling Technology) at room temperature for 2 h. After being washed three times with TBST, the membrane was incubated with ECL (Enhanced Chemiluminescence, Bio-RAD, Hercules, USA), and the immunoblots were analyzed by ChemiDocTM MP V3 (Bio-RAD).

As a parallel experiment, 6 h after transfection, the three groups of transfected cells and two groups of un-transfected cells were cultured in two 96-well plates (with 1 µM MG132 added to one group of un-transfected cells). 24 h later, the cells in one 96-well plate was switched to 43 °C culture temperature using pre-heated culture medium, and were cultured at 43 °C for 30 min. The heat-shocked cells were reversed to 37 °C, and were cultured for another 24 h. The cells in the other 96-well plate was cultured under normal conditions at 37 °C. MTT assay was used to detect the cell viability; cells were incubated with 0.5 mg/ml of 3-(4,5-cimethylthiazol-2-yl)-2,5-diphenyl tetrazolium bromide (MTT, Sigma-Aldrich) for 2 h at 37 °C. After the removal of the MTT solution, 100 μl DMSO were added. Following another 10-minute incubation, the absorbance was read at 570 nm in a plate reader (Elx800, Bi-TEK Instrument USA). Cell viabilities were normalized to those of 37 °C control cells.

### Accession codes

Atomic coordinates for complex structure between K48-diUb and Rpn13 N-terminal domain have been deposited with the PDB with accession code of 5YMY and the associated NMR data have been deposited at BMRB with the accession code of 36127.

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## Acknowledgements

The work has been supported by the National Key R&D Program of China (2018YFA0507700 to C.T., W.P.Z., Z.L. and Z.G, 2016YFA0501200 to C.T., Z.G. and X.D., and 2017YFA0505400 to X.D.) and by the National Natural Science Foundation of China (91753132 and 31770799 to C.T., 81573400 to W.P.Z., 31500595 to Z.L., 31400735 to Z.G., and 31400644 to X.D.).

## Author information

Authors

### Contributions

Z.L., W.-P.Z. and C.T. designed the experiments, Z.L., H.-W.Y. and J.Y. prepared the samples, Z.L., H.-W.Y. and K.L. performed smFRET experiments and analyses, J.Y. and Y.W. performed cell-based experiments, X.D. and Z.G. determined the complex structure, W.-P.Z. and C.T. wrote the manuscript with support from all authors.

### Corresponding authors

Correspondence to Wei-Ping Zhang or Chun Tang.

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### Conflict of interest

The authors declare that they have no conflict of interest.

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Liu, Z., Dong, X., Yi, H. et al. Structural basis for the recognition of K48-linked Ub chain by proteasomal receptor Rpn13. Cell Discov 5, 19 (2019). https://doi.org/10.1038/s41421-019-0089-7

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