Introduction

The Gram-negative human pathogen Pseudomonas aeruginosa produces a wide range of extracellular enzymes1,2, among them the lipase LipA, a secreted putative virulence factor3,4,5. For its conversion into an enzymatically active conformation, LipA requires the assistance of an inner membrane-bound chaperone named lipase-specific foldase (Lif)6. On the folding pathway, LipA can adopt several structurally different intermediates: an inactive and unfolded molten globule-like conformation7, a near-natively folded pre-active conformation8 and two folded conformations that differ in the structure of the α-helical lid covering the active site, with the folded closed conformation being enzymatically inactive and the folded open conformation enzymatically active9,10. Addition of Lif to the pre-active lipase immediately activates the folding intermediate11,12,13,14,15,16, suggesting that the interactions with Lif help overcoming an energetic barrier on the folding pathway of lipase LipA.

Lif proteins constitute a unique class of steric chaperones17,18. P. aeruginosa Lif has a five-domain organization with a transmembrane α-helical domain (TMD), followed by a probably unstructured variable linker domain (VLD) and the catalytic folding domain (CFD) which interacts with the lipase (Fig. 1). The crystal structure of Burkholderia glumae foldase (homologous to P. aeruginosa foldase) in complex with its cognate lipase reveals only the periplasmic catalytic folding domain10. This domain consists of 11 α-helices connected by loops and is organized into two globular domains, mini-domain 1 (MD1, α1-α3) and mini-domain 2 (MD2, α9-α11), which are connected by the highly flexible extended helical domain (EHD, α4-α8). Six α-helices of Lif (α1, α4, α5, α7, α9, α11) are in direct contact with LipA, forming a large interface between Lif and LipA, which is consistent with the high binding affinity in the nanomolar range of these two molecules10.

Figure 1
figure 1

Schematic representation of P. aeruginosa Lif and its complex with lipase LipA. (A) Five-domain organization of Lif and (B) Lif-LipA complex. The catalytic folding domain (CFD) self-sufficient for activation of LipA in vitro comprises MD1, EHD and MD2. Residues defining the beginning and the end of each domain are indicated in (A).

The sequence alignment of P. aeruginosa foldase (PaLif) and B. glumae foldase (BgLif), the only foldase with known 3D structure, revealed that among the five domains MD1 shares the highest sequence similarity (52%) (Fig. S1). Similar sequences often exert similar functions, which holds for MD1, as the chimeric foldase of B. glumae containing the MD1 of P. aeruginosa Lif still activated B. glumae LipA8. In contrast, other hybrid B. glumae-P. aeruginosa Lifs with replaced MD2 and EHD were inactive and B. glumae Lif did neither activate P. aeruginosa LipA nor vice versa8. The importance of MD1 for foldase activity was further highlighted by the finding that MD1 comprises the foldase sequence motif RXXFDY(F/C)L(S/T)A (X can be any residue) which is evolutionarily strongly conserved among all foldase families12 and which when mutated inactivates foldase19. However, despite this detailed knowledge, the molecular mechanism of foldase-assisted lipase folding still remains elusive.

Here, we investigated the role of MD1 for the activation of pre-active LipA by biochemical analysis, NMR spectroscopy, fluorescence spectroscopy and molecular simulations. Our solution NMR structures reveal that mutation Y99A in MD1 induces only slight changes in the protein structure. However, our biochemical activation assays show that in contrast to MD1, MD1Y99A does not decelerate sLif-induced activation of LipA. sLif is a soluble form of PaLif that lacks the TMD and Y99 is evolutionary conserved and located in helix α1 of MD1. While sLif and sLifY99A both interact with LipA, fluorescence-based assays demonstrate that the mutation significantly reduces the sLif-LipA affinity. The role of mutation Y99A on LipA activation was probed by molecular dynamics (MD) simulations and rigidity theory. Comparative constraint network analyses of MD-generated conformational ensembles of wild-type sLif and variant sLifY99A in complex with LipA suggest that long-range network interactions spanning from Y99 of sLif to the active site of LipA are likely involved in LipA activation.

Results

Isolated MD1, but not MD1Y99A decelerates sLif-induced activation of LipA

In line with previous results19 we observed that the point mutation generating variant sLifY99A strongly modifies in vitro folding of LipA (sLif lacks the TMD, which is dispensable for in vitro Lif function14 (Fig. 2A). Interestingly, however, LipA strongly binds to both sLif and variant sLifY99A (Fig. 2B). Presumably, specific interactions of MD1 with LipA are important for its activation as proposed for activation of B. glumae lipase, too8,10,19. We purified MD1 (Fig. S2) and demonstrated that these interactions are not sufficient for LipA activation as isolated MD1 could not activate pre-active LipA in vitro (data not shown). However, the addition of MD1 to pre-active LipA in 12 to 20-fold molar excess during activation of LipA with sLif significantly (p < 0.001, n = 4) slowed down the activation reaction (Fig. 2C). This result indicates that isolated MD1 can interfere with sLif’s capability to activate LipA. This effect was not observed with isolated MD1Y99A (Fig. 2C). We analyzed the affinity of both sLif and variant sLifY99A to LipA using a fluorescence-based assay (Tables S1 and S2). We observed stronger binding of sLif (KD = 29 ± 9 nM) than sLifY99A (KD = 77 ± 24 nM) (Fig. 2D).

Figure 2
figure 2

Activation of P. aeruginosa lipase LipA with sLif and variant sLifY99A and effect of MD1. (A) Pre-active LipA (4 µM) was incubated with either sLif (4 µM) or variant sLifY99A (4 µM) followed by lipase activity assay with 10 nM LipA. The activity of sLif:LipA complex was set as 100%. (B) SDS-PAGE analysis of LipA co-purified in the complex with sLif or sLifY99A as well as without Lif (w/o Lif). In the Coomassie Brilliant Blue G250 stained gel LipA is migrating as ~30 kDa and sLif as 43 kDa protein. Molecular weights of standard proteins (St) are indicated on the left-hand side. (C) Inhibition of sLif-mediated LipA activation with MD1. Pre-active LipA (50 nM) incubated with MD1 or MD1Y99A was activated by addition of sLif (50 nM) and 10 min incubation prior to lipase activity measurement. Lipase activities are mean values ± standard deviation of three independent experiments each measured with at least three samples. (D) A fluorescence assay was used to study the complex formation of pre-active LipA and sLif/sLifY99A labelled at amino groups with BDP FL. The fraction of fluorescence parameters assigned to the sLif:LipA complex (steady-state anisotropy rsteady-state (Eq. 2, Table S1) and average translational diffusion time ‹ttrans› (Eq. 3, Table S2). The binding data were fitted with a 1:1 binding affinity model (Eq. 4), black line. The uncertainties are indicated as shaded areas. Steady-state anisotropy could not be used for sLifY99A:LipA complex because increased mobility of the fluorescent probe cancels the increase of global rotation correlation time ρglobal. The apparent dissociation constant KD (right panel) was determined to 29 nM ± 9 nM for sLif:LipA and 77 nM ± 24 nM for sLifY99A:LipA complex (error bars are standard errors of the fit).

LipA complexes with sLif and variant sLifY99A exhibit similar unfolding profiles

We further probed the interactions of MD1, MD1Y99A, sLif and sLifY99A with pre-active LipA by analyzing the intrinsic protein fluorescence of respective solutions during thermal unfolding using a Prometheus nanoDSF device. While sLif and sLifY99A alone show typical unfolding curves with unfolding temperatures of ~50 °C (Fig. 3A), the thermal unfolding of MD1 and MD1Y99A cannot be monitored with nanoDSF because MD1 does not contain tryptophan residues. The thermal unfolding curve of pre-active LipA does not show a sharp unfolding transition typical for folded proteins but rather a broad transition with a maximum at 73 °C. Addition of MD1 or MD1Y99A to pre-active LipA did not considerably affect this unfolding curve, indicating that the domains do not change the fold of pre-active LipA and/or do not strongly interact with LipA (Fig. S3), which was also confirmed by fluorescence binding assay (Figs. S4 and S5 and Table S3).

Figure 3
figure 3

Effect of temperature on unfolding and activity of LipA in complex with sLif and variant sLifY99A. (A) Melting curves of sLif, sLifY99A, pre-active LipA alone and after incubation with sLif, sLifY99A, MD1 and MD1Y99A obtained by fluorescence measurement with nanoDSF. (B) Temperature-dependent lipase activity in a solution of sLif and LipA generated by incubation of pre-active LipA (100 nM) with sLif (250 nM) overnight at 4 °C in TG buffer. Samples were then incubated at different temperatures (10–50 °C) for 1 h followed by measurement of the remaining lipase activity with 2 nM LipA. (C) Time-resolved fluorescence anisotropy decay curves r(tc) of free and complex sLif and sLifY99A. Open circles indicate experimental r(tc) and lines indicate model r(tc) (Eq. S2b, results see Table S4), dashed lines indicate complex. Further details see main text. (D) Polarization-resolved full-FCS of labelled sLif using the p-p cross-correlation curves Gp-p(tc) normalised to the number of molecules in focal volume (Eq. S3) together with weighted residuals of the fits (upper plot, Eq. S4, results in Table S5). The global rotation correlation time ρglobal of sLif is similar to the one obtained by anisotropy measurement (32 ± 3 ns, indicated by vertical line). The global rotation correlation times of sLif:LipA and sLifY99A:LipA are similar (50 ± 3 ns, vertical line). (E) Joint analysis of the anisotropy order parameters (solid lines, see shaded area in C) and normalized pFCS amplitudes (dashed lines, see shaded area in D) by displaying the model functions of the fits. The global rotational correlation times are depicted as vertical lines. The corresponding amplitudes are highlighted by arrows. For further details see main text.

In contrast, the addition of sLif or sLifY99A to pre-active LipA yielded typical unfolding curves with a maximum of the first derivatives at ~37 °C (Fig. 3A). Further heating of the solutions above 37 °C resulted in unfolding curves similar to the one observed for pre-active LipA (Fig. 3A). The unfolding temperatures for sLif or sLifY99A in the presence of LipA are ~7 °C higher than the temperature at which LipA activity is reduced to 50% in a temperature-dependent lipase activity assay in the presence of sLif (half-inactivation temperature, T50 = 29.0 ± 0.2 °C, Fig. 3B); the temperature difference may be explained by the perturbation of the contacts within sLif:LipA complex.

Internal flexibility of variant sLifY99A in complex with LipA is increased as compared to sLif

Rotational diffusion and flexibility of sLif were investigated by different techniques of polarization-resolved fluorescence spectroscopy20. The fluorescence anisotropy decay r(tc) of the fluorescent probe, Bodipy FL NHS ester (BDP FL) conjugated to sLif or sLifY99A, is sensitive to local flexibility (time scale of 0.1 to 10 ns) and global rotation of the labelled molecules (Figs. 3C and S6). Typical fluorescence lifetime data and depolarization times are compiled in Table S4. Polarization-resolved full-FCS (pFCS) is sensitive to depolarization motions in a time range >10 ns (Fig. 3D), so that a joint analysis of time-resolved anisotropy and pFCS can capture a much wider time range (0.1 ns to ms) (Fig. 3E).

Considering free sLif and sLifY99A, the fluorescence anisotropy (Fig. 3C) and pFCS (Fig. 3D) show that sLif and sLifY99A exhibit similar hydrodynamic properties (rotational correlation time global ρglobal = 32 ± 3 ns). Similar high amplitudes of pico- to nanosecond dynamics are evidence for a high degree of internal flexibility of the protein in the absence of LipA (order parameter, S2 = 0.30, Fig. 3C, Table S4) that usually results in dynamic conformational ensemble21, which agrees with the findings of Pauwels et al.7.

For the complexes sLif:LipA and sLifY99A:LipA the global rotational correlation time is nearly doubled (ρglobal = 50 ± 3 ns). This experimental value agrees with the structure-based theoretical value for the global rotational correlation time ρglobal = 45 ns obtained by HydroPRO22 using the crystal structure of the complex of B. glumae PDB code (2ES4)10. The fact that ρglobal in free sLif is reduced indicates that its conformation must be more collapsed. The comparison of order parameters in Fig. 3E gives further insights into the internal interactions. Notably, the comparison shows that the two independent fluorescence techniques agree very well with respect to observed depolarization times and amplitudes.

In the case of the sLif:LipA complex, the increased order parameter S2 = 0.38 for global motion (blue arrow in Fig. 3E) indicates that sLif is less flexible in its bound form. However, for sLifY99A:LipA, the order parameter for global motion (S2 = 0.22, orange arrow) is even further decreased as compared to free sLifY99A (S2 = 0.30, Fig. 3E). This finding agrees well with the result that sLifY99A:LipA forms a less tight complex (Fig. 2D) as compared to wt sLif. At the same time, the complex formation of sLifY99A with LipA disrupts many internal interactions in free sLifY99A so that internal friction should be reduced due to missing contacts. To conclude, the number of contacts in the sLifY99A:LipA complex is significantly reduced. As the Y99A mutation is in MD1 domain, we can further conclude that for the mutant the MD1 domain does not, or only weakly, interact with LipA while the rest of sLif should still interact normally.

Structural insights into MD1s of P. aeruginosa sLif and variant sLifY99A

So far, a high-resolution structure of Lif from P. aeruginosa does not exist; this is also true for each of the individual Lif domains. To obtain the first structural insights into this system and to investigate the effects of the critical Y99A mutation on the structure of the MD1 domain, we here solved the NMR solution-structure of the isolated MD1 domain (Fig. 4A, PDB code 5OVM; BMRB code 34175) as well as of the MD1Y99A variant (Fig. 4B, PDB code 6GSF; BMRB code 34286).

Figure 4
figure 4

Details of MD1 and variant MD1Y99A structures obtained by NMR spectroscopy. (A) Cartoon representations of the structure ensemble of the 20 best solution structures of MD1 and (B) MD1Y99A variant. (C) Comparison of the representative NMR solution structures of MD1 (cyan) and MD1Y99A (purple) with the crystal structure of MD1 from B. glumae (green) (PDB code 2ES410).

Both MD1 and MD1Y99A resemble a three α-helical bundle preceded by 27 N-terminal residues without clear secondary structure. Only minor structural differences were observed within each ensemble of 20 energetically most favorable structures for MD1 as well as for MD1Y99A, as indicated by RMSD of 1.3 ± 0.3 Å and 0.8 ± 0.2 Å, respectively. The obtained structures of the isolated MD1 variants are similar to the respective domain in the crystal structure of the Lif:LipA complex from B. glumae (Fig. 4C)10, showing that this domain adopts a stable fold, even when isolated and in the absence of a lipase.

Overall, both variants from P. aeruginosa exhibit rather similar 3D structures, with an RMSD of 2.4 Å, when comparing the MD1 and MD1Y99A structural ensembles. This shows that the Y99A mutation does not alter the overall fold of MD1. Nevertheless, some differences are still visible when comparing both structures. These differences include (i) helix 2, which is slightly tilted in the MD1Y99A variant as compared to MD1, as well as (ii) the degree of ‘disorder’ of the N-terminal coil including the loop interacting with helix 1. Yet, the second difference may be a direct consequence of limited distance restraints due to chemical exchange of the amide protons in this part of the protein.

A comparison of the 1H-15N HSQC spectra for both MD1 variants reveals a rather high amount of chemical-shift perturbations induced by the point mutation (Fig. 5A,B). Mapping the strongest perturbations on the 3D structure suggests that the mutation does not only affect the chemical environment of its direct neighbors but does induce effects in several areas of the protein (Fig. 5C). This observation is consistent with the differences found in the structures for both variants, in particular the relative tilt of helix 2 in the protein core. Yet, when comparing the 13C chemical shifts (Cα, Cβ), which are particularly sensitive to the secondary structure, only minor differences are found (Fig. 5D), again in accordance with the observed structural differences.

Figure 5
figure 5

NMR-based structural comparison of MD1 and MD1Y99A. (A) 1H-15N-HSCQ spectra of MD1 (black) and MD1Y99A (red). Labels correspond to the most affected residues due to the mutation. (B) Chemical shift perturbations induced by the mutation along the MD1 sequence and (C) mapped on the MD1 structure (purple, mutation site highlighted). (D) Comparison of 13C secondary chemical shifts of MD1 (black) and MD1Y99A (red). Positive/negative values indicate α-helical/β-strand secondary structure. Random coil values should be zero. (E) Inter-residue distance restraints from NOEs for MD1 (black) and MD1Y99A (red).

In agreement with the previously determined crystal structure of the homologous domain from B. glumae10, our data show that the N-terminal part does not exhibit a clear secondary structure motif. Furthermore, for larger parts of this region, the amide proton could not be detected, in line with elevated chemical exchange, indicating the absence of a hydrogen-bond network and/or the absence of protective steric effects provided by the remaining residues of the three-helix bundle.

However, our data also show that the N-terminal region is not completely disordered. On the one hand, this is confirmed by the rather low mobility seen in NMR dynamics data for several residues with observable amide protons (Fig. S7A–C). In fact, the loop connecting helix 1 and 2 appears to be more flexible than the N-terminal segment. On the other hand, secondary chemical shift analysis of 13C frequencies, which could be assigned for most N-terminal residues, differs substantially from a pure random coil character (Fig. 5D). Furthermore, clear inter-residue NOE correlations connect the N-terminal region to the three-helix bundle (Fig. 5E). Within the here detected parameters the features of the N-terminal region are similar in both MD1 variants.

To gain further insights into the effect of the Y99A mutation on the interaction of MD1 with LipA we acquired 1H,15N-HSQC spectra of MD1 and MD1Y99A in the presence and absence of three-fold molar excess of LipA (Fig. S8). The data reveals a clearly noticeable signal decrease induced by the presence of LipA for MD1. In general, such a signal decrease can either indicate the formation of a tightly bound complex, which, however, is too large to be detected in the NMR spectrum. Therefore, only the reduced signal of the unbound state is detected (so-called NMR slow exchange regime). Based on fluorescence measurements obtained under comparable conditions it can be excluded that a tight complex is formed between MD1 and LipA (Fig. S5). Alternatively, the signal decrease can be explained by a transient interaction with exchange rates in the range of the NMR timescale, leading to peak broadening (so-called NMR intermediate exchange regime). Interestingly, the observed signal decrease is considerably stronger for MD1 as compared to MD1Y99A suggesting that the mutation further reduces the interaction between MD1 and LipA. This observation is in line with the different behavior found in our inhibition assay (Fig. 2C) as well as the reduced LipA affinities observed for sLif and sLifY99A (Fig. 2D). Albeit the NMR data reveal minor but noticeable structural differences in MD1 structure due to the Y99A mutation and potential modulations in LipA affinity, it is at this point unclear how these differences can modulate Lif’s capability to fold LipA.

sLifY99A exerts a long-range effect on LipA which may destabilize the structure of the substrate-binding pocket

To understand the possible role of the mutation Y99A for Lif-induced activation of LipA, we initially compared the X-ray structure of P. aeruginosa LipA in the open, active conformation (PDB code 1EX9) with the X-ray structures of B. glumae lipases in their closed, inactive conformations, one in the complex with its specific foldase (PDB code 2ES4) and the other in the unbound form (PDB code 1QGE) (Fig. 6A–C). In the open conformation, helix α5 is moved away from the active site, allowing substrates to access this site and a short two-stranded β-sheet close to the active site is formed by residues 21–22 and 25–26. The enclosing residues 17–30 shape the substrate-binding pocket23 (Fig. 6D). Because this β-sheet is not formed in the closed, unbound conformation of LipA, where helix α5 is occluding the active site, we postulated this structural element as a hallmark of the open and active LipA. Notably, the foldase-bound lipase, with an overall and active site structure mainly identical to those of unbound lipase9,10 does have a two-stranded β-sheet in the region of residues 17–30, yet helix α5 is in the closed conformation. The structural comparison thus indicates that the foldase induces the formation of the two-stranded β-sheet during activation of the lipase. Hence, the foldase-bound lipase can apparently be considered an intermediate conformation on its way to an open conformation, with residues 17–30 acting as a “loaded spring”.

Figure 6
figure 6

Influence of mutation Y99A in Lif on the structural stability of LipA. (A) Structure of P. aeruginosa LipA with OCP inhibitor bound in the active site crystallized in the open conformation (PDB code 1EX923), in which the helix α5 (salmon) is moved away from the active site (catalytic triad residues S82, H251 and D229 shown in green). In this conformation, the active site is accessible for the substrate and LipA is enzymatically active. A short two-stranded β-sheet close to the active site is formed by residues 17–30 (red). (B) B. glumae lipase from the crystal structure of the Lif:LipA complex (PDB code 2ES410). The lipase shows a two-stranded β-sheet (red), a characteristic feature of the open (active) conformation, nevertheless helix α5 (salmon) adopts a closed (inactive) conformation. This suggests a foldase-induced formation of a two-stranded β-sheet during activation of the lipase. (C) Crystal structure of B. glumae lipase crystallized in the closed conformation (PDB code 1QGE50) with helix α5 (salmon) covering the active site (residues as in panel A). In this conformation, a two-stranded β-sheet close to the active site is not formed. Residues 17–30 of B. glumae lipase, forming a two-stranded β-sheet, are indicated red. (D) Crystal structure of active P. aeruginosa LipA with inhibitor OCP bound in the active site (PDB code 1EX9). Region of residues 17–30 forms part of the active site (red), required for the binding of the ligand. (E) Homology model of the P. aeruginosa sLif:LipA complex based on the structure of the B. glumae foldase-lipase complex (PDB code 2ES410) used as a template. The coloring indicates the model quality assessment by TopScore24,25, with bluish colors representing less than 10% structural error. (F) CNA was applied on an ensemble of structures of the Lif:LipA complex generated from 10 independent MD simulations. Residues with \(\Delta {G}_{i,{\rm{CNA}}}\) above a threshold of 0.1 kcal mol−1 are depicted as spheres on the Lif:LipA complex structure. Blue colors reflect predicted \(\Delta {G}_{i,{\rm{CNA}}}\) values; the larger the value, the darker is the color. The black arrow indicates how the perturbation by Y99A mutation of Lif (pink, ball-and-stick representation) influences residues in LipA. Due to the decrease in the stability of the surrounding region of residues 17–30 in LipA, we speculate that the conformational changes required for the intermediate state of LipA on the way of activation is hampered upon LifY99A mutation. The color code for helix α5, residues 17–30 and the active site is as in panel (A). (G) The histogram shows the per-residue \(\Delta {G}_{i,{\rm{CNA}}}\) for LipA. The dashed line at 0.1 kcal mol−1 indicates the threshold above which residues are considered perturbed. The standard error of the mean is <0.05 kcal mol−1 for all residues. (H) Per-residue \(\Delta {G}_{i,{\rm{CNA}}}\) shown for Lif, with the same threshold. The standard error of the mean is <0.05 kcal mol−1 for all residues.

The effect of mutation Y99A in Lif for lipase activation was further examined. We first generated a homology model of the P. aeruginosa sLif:LipA complex, since no experimental structure of P. aeruginosa Lif has been reported so far. As a template structure, we used the structure of the B. glumae foldase-lipase complex (PDB code 2ES4) (see Materials and Methods section for details). The final model was assessed with our in-house model quality assessment program TopScore24,25 and found to be 68% correct for LipA and 52% correct for Lif (Fig. 6E). The final sLif:LipA model was used as an input structure to perform ten independent all-atom MD simulations of 1.5 μs length each.

To investigate the influence of the Y99A mutation on the structural stability of LipA, we used an ensemble-based perturbation approach26 integrated into the constraint network analysis (CNA) approach, a method for analyzing rigidity and flexibility on constraint network representations of biomolecules, where the constraints are formed by covalent and noncovalent bonds26. In the perturbation approach, results from rigidity analyses are compared between a ground state and a perturbed network state. The change in biomolecular stability upon perturbation is quantified in terms of a residue-wise perturbation free energy \(\Delta {G}_{i,{\rm{CNA}}}\) (Eq. 1). CNA was applied on the conformational ensemble of the sLif:LipA complex generated from the above MD simulations, constituting the ground state (see Materials and Methods section for details). The perturbed state of the sLif:LipA complex was generated by substituting Y99 with alanine, but keeping the structures of sLif and LipA unchanged otherwise. We followed that approach because LipA strongly binds to both sLif variants (Fig. 2B), suggesting that the respective complex structures are very similar in both cases. The computed changes in \(\Delta {G}_{i,{\rm{CNA}}}\) (Eq. 1) were largest for residues 1–45, 197–202, 242–250 and 268–286 in LipA (Fig. 6F,G).

Notably, these affected residues form a narrow pathway that reaches the β-sheet-forming region including residues 28–30 (Fig. 6F,G), indicating that the mutation decreases the stability of substrate binding pocket (Fig. 6D). We speculate that this decrease in stability prevents the partial β-sheet formation of substrate binding pocket and, thus, disfavors LipA activation by sLifY99A. Finally, the Y99A mutation also affects the stability of a number of residues in sLif itself, especially around the mutation site, including residues 89–115, as well as residues 66–80 in MD1 (Fig. 6G). This observation is supported by NOE contacts identified in the NMR spectra (Fig. 5E) that connect these two regions, thus providing experimental validation of our computational strategy. In summary, our CNA results indicated that the Y99A mutation in MD1 of sLif exerts a long-range influence on LipA structural stability that reaches the substrate-binding region that forms a β-sheet upon activation of LipA.

Discussion

In this work, we studied the role of MD1 and of MD1’s residue Y99 on the activation of pre-active LipA by biochemical analysis, NMR and fluorescence spectroscopy, as well as molecular simulations. We show that the Y99A mutation in MD1 induces only minor changes in the domain’s overall structure. However, the activation of LipA induced by sLif is inhibited by addition of MD1, which is not seen when using variant MD1Y99A (Fig. 2C). Comparative CNA suggested that long-range network interactions span from Y99 of sLif to the active site of LipA that are likely involved in LipA activation (Fig. 6).

MD1 was suggested as an essential domain for Lif activity as it contains an amino acid sequence motif conserved among all foldases12, which upon mutation leads to Lif inactivation19. We confirmed this finding by showing that the P. aeruginosa sLifY99A variant carrying a single amino acid mutation in the foldase motif did not activate P. aeruginosa LipA, in contrast to sLif (Fig. 2A).

Previously, Shibata and coworkers reported that P. aeruginosa LifY99C, LifY99H, LifS102R and LifR115C variants (all carrying mutations in the foldase motif) do not form complexes with LipA19. By contrast, we showed, using co-purification and fluorescence-based assays, that sLifY99A binds pre-active LipA. Both proteins were co-purified by affinity chromatography and sLifY99A in the presence of LipA yields an unfolding curve in nanoDSF very similar to that of sLif in the presence of LipA but shifted compared to the unfolding curves of sLifY99A and sLif. Dissociation constants obtained from fluorescence binding assay reveal approximately 3-fold stronger binding of sLif (KD = 29 ± 9 nM) to pre-activated LipA than sLifY99A. The overall affinity is in the range previously reported for the complex from B. glumae (KD = 5 nM)10.

The combined analysis of time-resolved fluorescence anisotropy and polarization-resolved FCS yields parameters, rotational correlation times and order parameters, that can be used to investigate shape and local flexibility of the fluorescently labelled proteins20.

Here, we introduce a stochastic labeling strategy of lysine residues by the anisotropy sensor BDP FL, to obtain insights into protein conformational flexibility and motions on the single-molecule level. We showed that, within the resolution of our approach, the Y99A mutation does not affect the shape and mobility of free sLif (Fig. 3E, magenta and violet arrows). In light of these results, we expected that the mutation Y99A would not substantially alter the internal structure of sLif. This assumption was strengthened by our observation that the melting temperatures of the two proteins measured by nanoDSF were similar (48.1 °C for sLif and 50.5 °C for sLifY99A) (Fig. 3A). However, sLif only contains a single fluorescent residue (W283) located in MD2, such that one cannot exclude that the Y99A mutation in MD1 may lead to structural changes that are not detected in the distant MD2.

With this in mind, we aimed at solving the 3D structures of sLif and sLifY99A by X-ray crystallography. Unfortunately, probably due to sLif’s dynamic behavior7, all attempts have failed. We thus resorted to solving the structures of isolated P. aeruginosa MD1 and variant MD1Y99A using solution NMR spectroscopy (Fig. 4). The MD1 solution structure provides the first experimental evidence that this domain adopts a stable tertiary structure even in the absence of LipA. The structure folds as a three α-helical bundle, stabilized by hydrophobic and aromatic residues (I93, F97, F100, L116, I120, L135, M136 and Y139) and is very similar to the structure of MD1 from the B. glumae Lif:LipA complex (Fig. 4). Furthermore, structural comparison of MD1 and MD1Y99A revealed only minor structural changes, excluding that domain rearrangements or unfolding are the cause of the inactivation effect that is induced by the Y99A mutation. As such, the structural data alone does not allow to pinpoint the role of Y99 for LipA activation.

In the X-ray structure of B. glumae Lif:LipA complex10, residue Y91 (structurally equivalent to Y99 in P. aeruginosa Lif) contributes only little (~110 Å2 of solvent-accessible surface area) to the overall interface of ~5400 Å2 formed between the two proteins, which involves 65 Lif residues. Hence, it is not unexpected that P. aeruginosa sLifY99A forms a complex with LipA, yet also this mutation decreases the affinity of sLif towards LipA, which is confirmed by our fluorescence-based assay and NMR observation (Fig. S7). Indeed, we showed in in vitro experiments where isolated MD1 or MD1Y99A compete with sLif for LipA binding that MD1, but not MD1Y99A, inhibits LipA activation (Fig. 2C). pFCS and fluorescence anisotropy decay also highlight the important difference in mechanics of sLif and sLifY99A bound to LipA, where sLif appears to be less mobile than in free form, while the local mobility of sLifY99A is increased compared to sLif (Fig. 3E, orange and blue arrows). Altogether, this indicates that for the mutant Y99A the MD1 domain does not, or only weakly, interact with LipA while the rest of sLif still interacts normally. Since DSF cannot sense effects in the MD1 domain (no Trp), this interpretation is with all data. Importantly, the increased flexibility of complexed sLifY99A could also largely amplify the effect seen in the CNA.

Chemically denatured LipA, when refolded in vitro, adopts a globular pre-active conformation that shows a similar secondary structure content, intrinsic tryptophan fluorescence and susceptibility to proteolytic degradation as the native and active form of LipA7,14. This pre-active intermediate is converted to active LipA by addition of Lif. Apparently, structures of pre-active and native LipA are very similar, however, it is still unknown which structural changes in LipA are caused by Lif during activation. By analyzing the structures of native LipA from P. aeruginosa and B. glumae9,10,23 in different states, we observed conformational differences in a region close to the active site formed by residues 17–30 in lipases of P. aeruginosa and B. glumae. These residues are involved in the formation of a short, two-stranded β-sheet accompanying the opening of the lid-like α-helix covering the active site. We thus hypothesize that Lif may mediate LipA activation by promoting the formation of a short β-sheet formed by residues 17–30.

We tested this hypothesis by molecular simulations of sLif and sLifY99A. CNA perturbation analyses of conformational ensembles generated by MD simulations starting from the comparative model of P. aeruginosa Lif:LipA complexes revealed that substitution Y99A destabilizes residues 28–30 involved in the formation of the short, two-stranded β-sheet in LipA (Fig. 6). We also identified a long-range network of interactions involving residues 1–45, 197–202, 242–250 and 268–286 in LipA that span from Y99 of Lif to the LipA β-sheet17–30 adjacent to the active site. We thus propose a mechanism of LipA activation based on the formation and stabilization of β-sheet17–30 in LipA through interactions with Lif. We recently showed by molecular dynamics simulations and potential of mean force computations that stabilization of β-sheet17–30 affects the dynamics of LipA’s lid and thereby LipA activation27. Such small structural changes upon LipA activation are expected given the previously observed similarity of pre-active and native LipA7,14.

In summary, our study reveals an intricate role of Y99 of the MD1 domain of P. aeruginosa Lif for LipA activation. Despite almost no influence on the global MD1 structure and weakly on sLif global binding to LipA, the Y99A substitution hampers LipA activation, by the disruption of the mechanics of Lif:LipA complex. Molecular simulations suggest that, by long-range network interactions, Y99 supports the formation of a key secondary structure element in LipA on the way from pre-active to native LipA. Thus, our study for the first time provides insights at the atomistic level as to a potential mechanism of Lif-mediated pre-active-to-native LipA folding. This finding might spark further in vitro and in vivo studies to validate this putative mechanism.

Experimental Procedures

Cloning, protein production and purification

The expression plasmid encoding MD1 (pET-MD1) (Table S6) of Lif was created by PCR using Phusion DNA polymerase (Thermo Fischer Scientific) in whole plasmid amplification with mutagenic oligonucleotides (Table S6) designed for SLIC method28 and pEHTHis1929 plasmid as a template. For that purpose, amino acids 1–65 in Lif were deleted using primers Lif_dLinkVD_fw and Lif_dLinkVD_rv leaving the amino acid sequence MGHHHHHH before amino acid L66 of Lif. Subsequently, the sequence behind amino acid L146 was removed with the same method using the primers Lif_backbone_fw and Lif_MD1_rv. The expression plasmids pET-MD1Y99A and pET-sLifY99A respectively encoding MD1Y99A and sLifY99A, the variants with mutation of Y99 to alanine, were created by whole plasmid PCR amplification with mutagenic oligonucleotide pair Lif_Y99A_fw/Lif_Y99A_rv designed for SLIC method and pET-MD1 or pEHTHis19 templates, respectively. sLif, sLifY99A, MD1 and MD1Y99A were expressed in E. coli BL21 (DE3) using respective expression plasmids as described previously29. For NMR studies, LB medium30 was replaced by M9 media supplemented with 13C-glucose and 15NH4Cl as sole carbon and nitrogen sources, respectively.

sLif, sLifY99A, MD1 and MD1Y99A variants carrying N-terminal His6-tag were purified by immobilized metal affinity chromatography using Ni-NTA resins (Qiagen) according to a protocol of Hausmann et al.29. Purified proteins were transferred to 20 mM sodium phosphate buffer (pH 7.4) by using PD10 column and concentrated to 500–1000 µM by using ultrafiltration device (Vivaspin) with a membrane of 5 kDa pore size. Protease inhibitor cocktail (0.1 x) (Sigma Aldrich) and 3 mM NaN3 were added to the final samples in order to ensure protein stability during long-term NMR experiments.

Resonance assignment and structure calculation

NMR experiments were performed on Bruker Avance III HD+ spectrometers operating either at 600 or 700 MHz, both equipped with 5 mm inverse detection triple-resonance z-gradient cryogenic probes. Data was collected at 30 °C with sample concentrations between 450 and 900 µM in 20 mM sodium phosphate buffer pH 7.4 containing 10% (v/v) D2O, 0.01% sodium azide and 100 μM 4,4-dimethyl-4-silapentanesulfonic acid (DSS). All NMR spectra were processed with TOPSPIN 3.5 (Bruker BioSpin). DSS was used as a chemical shift standard and 13C and 15N data were referenced using frequency ratios as previously described31.

For the resonance assignment of MD1 and MD1Y99A, 15N- and 13C-edited HSQC (heteronuclear single-quantum coherence) and three-dimensional HNCO, HN(CA)CO, HN(CO)CACB and HNCACB experiments were performed to obtain the chemical shift assignments of the backbone atoms. Three-dimensional 15N- and 13C-NOESY-HSQC and (H)CCH-TOCSY, spectra were used for side-chain resonance assignment and NOE (nuclear Overhauser effect) measurements using acquisition parameters listed in Tables S2 and S3.

After assignment completion, CYANA2.132 was used to analyze the peak data from the NOESY spectra in a semi-automated iterative manner. We used CARA 1.9.24a33 to automatically generate the NOE coordinates and intensities. The input data consisted of the amino acid sequence (of which we removed the histidine tag due to the lack of constraints), assigned chemical shift list, peak volume list and backbone dihedral angles (Φ and Ψ), which were derived from the TALOS+ server34 or with the CYANA script GridSearch32. The unambiguous NOEs assigned to a given pair of protons were converted into the upper limits by CYANA2.132. No stereospecific assignments were introduced initially. In the final steps, 12 and 21 pairs of stereospecific restraints were introduced by CYANA2.132 for MD1 and MD1Y99A, respectively.

The 20 conformers with the lowest final CYANA target function values were subjected to restrained energy-minimization as described in Pimenta et al.35 with the AMBER14 software package using the ff14SB force field36. The structures were placed in an octahedral periodic box of TIP3P water molecules37. The restrained energy minimization was then performed in three stages. First, the solute atoms were kept fixed with harmonic positional restraints with a force constant of 500 kcal mol−1 Å−2 to relax the solvent molecules. Subsequently, the entire system was relaxed after restraint removal. During the last stage, 1500 steps of NMR-restrained energy minimization were applied with a combination of steepest descent minimization followed by conjugate gradient minimization. A parabolic penalty function was used for the NOE upper distance restraints with a force constant of 20 kcal mol−1 Å−2. Finally, the geometric quality of the refined structures was analyzed with the Protein Structure Validation Software suite (version 1.5)38. Statistics for the NMR solution structures of MD1 and MD1Y99A are given in Table 1.

Table 1 Statistics for the NMR structures of MD1 and MD1Y99A.

Accession numbers

The structural coordinates were deposited in the Protein Data Bank (PDB) under the accession codes 5OVM and 6GSF and the NMR data was deposited in the Biological Magnetic Resonance Data Bank (BMRB) under the accession numbers 34175 and 34286 for MD1 and MD1Y99A, respectively.

MD1 and MD1Y99A backbone dynamics

To gain insight into the backbone dynamics of MD1 and MD1Y99A in the solution we measured the relaxation parameters R1, R2 and {1H}-15N-NOE (HetNOE) for both proteins at 35 °C. We used 15N-labelled samples at a concentration of 650 and 600 μM for MD1 and MD1Y99A, respectively. The solutions were prepared either in Tris-Glycine buffer pH 9 containing 10% (v/v) D2O, 0.01% sodium azide and 100 μM DSS or in 20 mM sodium phosphate buffer pH 7.4 containing 10% (v/v) D2O, 0.01% sodium azide and 100 μM DSS for MD1 and MD1Y99A, respectively. All data were collected in a Bruker Avance III HD+ 600 MHz spectrometer.

Backbone relaxation rates, R1 and R2, were determined by acquiring pseudo-3D spectra consisting of a series of 2D heteronuclear 1H-15N-HSQC experiments were the relaxation period varied. For the 15N longitudinal relaxation rates (R1), 12 time points were collected (0.02 s, 0.06 s, 0.1 s, 0.2 s, 0.4 s, 0.5 s, 0.6 s, 0.7 s, 0.8 s, 1.2 s, 1.5 s and 2 s). The spectra were acquired with 2048 points in 1H indirect dimension and 128 points in the 15N direct dimension and 8 scans. The spectral width was 7183.9 Hz in the 1H dimension and 1943.8 Hz in the 15N dimension and the relaxation delay was 1.5 s. The central frequency for proton was set on the solvent signal (2812.9 Hz) and for nitrogen was set on the center of the amide region (7535.96 Hz). For the 15N transverse relaxation rate (R2) 12 time points were collected (0.02 s, 0.03 s, 0.04 s, 0.06 s, 0.08 s, 0.1 s, 0.12 s, 0.14 s, 0.16 s, 0.2 s, 0.24 s and 0.28 s). The spectra were acquired in the same conditions as the above. The {1H}-15N-NOE steady-state NOE experiments were recorded with a relaxation delay of 10 s, with 8 transients in a matrix with 2048 data points in F2 and 256 increments in F1, in an interleaved manner, with alternating proton-pre-saturated and non-pre-saturated spectra. All data was processed with TopSpin 3.5 (Bruker BioSpin) and analyzed with CARA 1.9.24a33 and Relax 4.0.339.

MD1 and MD1Y99A interaction with LipA

To investigate the effects of the mutation on the interaction with LipA, we followed the backbone signal intensity in 1H,15N-HSQC spectra of 120 μM 15N-labeled MD1 or MD1Y99A in the presence and absence of 400 μM (unlabeled) LipA. All data was acquired at 10 °C, processed and analyzed with TopSpin 3.5 (Bruker BioSpin). Samples were prepared in Tris-Glycine buffer pH 9 containing 10% (v/v) D2O, 0.01% sodium azide and 100 μM DSS.

In vitro activation of LipA with Lif

LipA, comprising residues S26-L311 without any affinity tag, was expressed in E. coli (BL21) DE3 using the plasmid pLipA-SS29. Cells expressing insoluble inclusion bodies of LipA were suspended in Tris-HCl buffer (100 mM, pH 7) containing 5 mM EDTA and 1 mM TCEP and disrupted by a French press. LipA inclusion bodies were collected by centrifugation at 10,000 g for 10 min and suspended in the same buffer. Centrifugation and wash steps were repeated three times to obtain purified LipA inclusion bodies. These were solubilized with Tris-HCl buffer containing 8 M urea at 37 °C for 1 h and remaining insoluble material was removed by centrifugation at 10,000 g for 10 min. Solubilized LipA was refolded by dilution with the TG buffer (5 mM glycine, 5 mM Tris, pH 9) containing an equimolar amount of sLif and was incubated overnight at 4 °C.

Lipase activity assay

The activity of LipA was spectrophotometrically monitored by the release of p-nitrophenolate from the standard lipase substrate p-nitrophenyl palmitate (pNPP, 1 mM) in 10 mM TG buffer containing 1 mM CaCl21.

Inhibition of LipA activation

LipA (50 nM) was incubated with MD1 or MD1Y99A (0.2–1.0 µM) for 1 h at room temperature in a glass-coated 96-well microtiter plate (MTP) followed by addition of sLif (50 nM). After agitating for 10 min at room temperature, pNPP lipase substrate (100 µL) was added to 100 µL of activated LipA in MTP and lipase activity was determined.

Co-purification assays

In vitro Lif-LipA interaction studies were performed using sLif and sLifY99A variants carrying N-terminal His6-tags for immobilization onto Ni-NTA resins. First, the complexes of LipA (4 µM) with sLif (4 µM) or sLifY99A (4 µM) were formed in Tris-HCl buffer (10 mM Tris-HCl, pH 9) by incubation overnight at 4 °C followed by loading onto a Ni-NTA column and exhaustively washing with Tris-HCl buffer (10 mM, pH 9). The proteins bound to the column were eluted with Tris buffer (10 mM, pH 9) containing 500 mM imidazole. Elution fractions were analyzed by sodium dodecyl sulfate-polyacrylamide gel electrophoresis (SDS-PAGE) under denaturation conditions on 16% (w/v) gels40 followed by staining with Coomassie Brilliant Blue G250.

Protein stability determination by differential scanning fluorimetry

LipA (2 µM) was incubated with sLif (2 µM), sLifY99A (2 µM), MD1 (2 µM) or MD1Y99A (2 µM) overnight at 4 °C in TG buffer. The protein samples loaded into the measuring capillaries (Prometheus NT.Plex nanoDSF Grade Standard Capillary Chips) were heated from 15 °C to 95 °C (heating rate of 0.2 °C/min) and the intrinsic protein fluorescence was recorded at 330 nm and 350 nm using the Prometheus NT.Plex nanoDSF device (Nano Temper, Munich, Germany)27. The ratio of F350nm and F330nm and its first derivative were calculated by the PR.ThermControl software provided by the company.

Model building of the P. aeruginosa Lif:LipA complex

The three-dimensional structure of P. aeruginosa Lif is currently unknown. Thus, a homology model of the P. aeruginosa sLif:LipA complex was constructed using the structure of the B. glumae lipase:foldase complex (PDB code 2ES4) as a template (sequence identity/similarity: 39%/52%) for Lif and 41%/73% for LipA)27. The Phyre2 web server41 was used for homology modelling. The model obtained was energy minimized with the GROMOS96 43B1 force field as implemented in Swiss-PdbViewer42. After ten rounds of energy minimization, the Cα atoms of the models were superimposed on the template structure and the model with the lowest RMSD was taken for further studies27. The model obtained was evaluated by using our in-house model quality assessment program TopScore24,25. The correctness of the model is measured as the predicted global and local lDDT score43 compared to the native structure. The lDDT score compares all intra-molecular heavy-atom distances within two structures and, thus, is superposition-free. Two models are considered entirely different if all distances deviate by more than 4 Å and completely identical if all distances deviate by less than 0.5 Ȧ. Since the native structure is unknown, the score is predicted by a deep neural network which uses multiple sources of information as input. These include knowledge-based angle, distance and contact potentials, assessment of residue stereochemistry and atom clashes, model clustering and agreement between features predicted from the sequence and measured in the model, such as secondary structure, solvent accessibility and residue contacts. The deep neural network was trained on a large data-set of 660 protein targets totaling over 1.33 × 105 models and over 1.9 × 107 residues. The P. aeruginosa and B. glumae lipase:foldase complex structures show structural conservation of functionally important residues (Fig. S1), as for example the foldase motif residues (RXXFDY(F/C)L(S/T)A, X represents any amino acid) important for lipase activation19 and R343 related to the specificity of B. glumae foldase to bind its cognate lipase10. To validate our complex model, we mapped all conserved amino acids to the structures and found all of them at the interface of LipA and Lif, as expected.

Molecular dynamics simulations

The refined model of P. aeruginosa sLif:LipA complex was used as input structure for MD simulations. All-atom MD simulations were performed with the Amber 11 software package44 using the ff99SB force field45 as described in Ciglia et al.46. The sLif:LipA complex was placed in an octahedral periodic box of TIP3P water molecules37 such that the smallest distance between the edges of the box and the closest solute atom is 11 Å. The SHAKE algorithm46 was applied to constrain bond lengths of hydrogen atoms and long-range electrostatic interactions were taken into account using the Particle Mesh Ewald method47. The time step was set to 2 fs with a non-bonded cut-off of 8 Å. The starting structures were first energy minimized by applying 50 steps of steepest descent minimization, followed by 450 steps of conjugate gradient minimization. During the minimization, the solute atoms were restrained applying decreasing harmonic potentials, with a force constant of 25 kcal mol−1 Å−2 initially, reduced to 5 kcal mol−1 Å−2 in the last round. For thermalization, the systems were heated from 100 K to 300 K in 50 ps of canonical (NVT)–MD simulations applying harmonic potentials with a force constant of 5 kcal mol−1 Å−2 on the solute atoms. Afterwards, MD simulations of 250 ps length were performed in the isothermal-isobaric ensemble (NPT) with the same harmonic potentials to adjust the density of the simulation box. Finally, the force constant of the harmonic restraints was reduced to zero during 100 ps of MD simulations in the NVT ensemble. For production, ten independent, unbiased MD simulations of 1.5 µs length were performed, totaling 15 µs of production runs. To ensure independence, production runs were carried out at temperatures of 300.0 K + T, where T was varied from 0.0 to 0.9 for each run, respectively.

Constraint network analysis (CNA)

To detect changes in sLif:LipA rigidity and flexibility upon Y99A mutation in P. aeruginosa Lif, we analyzed an ensemble of snapshots of sLif-bound LipA in terms of a perturbation approach26 in a similar way as done by Milić et al.25. In short, first, an ensemble of 7,500 constraint network topologies was generated from MD snapshots of the proteins sampled at 2 ns intervals from the 10 MD simulations of the sLif:LipA complex (see above). Second, altered bimolecular stability due to the sLifY99A mutation is measured as per-residue perturbation free energy \(\Delta {G}_{i,{\rm{CNA}}}\), following a linear response approximation (Eq. 1).

$$\Delta {G}_{i,{\rm{CNA}}}=\alpha (\langle {E}_{i,\,{\rm{CNA}}}^{perturbed}\rangle -\langle {E}_{i,\,{\rm{CNA}}}^{ground}\rangle )$$
(1)

Parameter α has been generally determined empirically and was set to 0.02 as in Pfleger et al.26 \(\Delta {G}_{i,{\rm{CNA}}}\) was computed based on rigidity analyses performed with the CNA software package26 on ensembles of network topologies of the ground (sLif) and perturbed (sLifY99A) states. Upon perturbation, about 19% of the residues in sLif and 22% of the residues in LipA show altered stability characteristic according to \(\Delta {G}_{i,{\rm{CNA}}}\) values > 0.1 kcal mol−1.

Fluorescence labelling of Lif

Purified proteins sLif, sLifY99A, MD1 and MD1Y99A were transferred to 50 mM sodium phosphate buffer (pH 7.4) and concentration was adjusted to 70 μM. To label amino groups, Bodipy FL NHS ester (BDP FL; Lumiprobe), was dissolved in DMSO and added to the protein in 1:10 molar ratio to ensure labeling of single dye per protein molecule (obtained degree of labeling approximately 5%). Free dye was removed after overnight incubation at 4 °C by buffer exchange with Amicon Ultra-0.5 mL 10 K centrifugal filters (Merck-Milipore).

Fluorescence measurements and data analysis

Steady-state fluorescence anisotropy rsteady-state and average translational diffusion time ‹ttrans› were measured in the droplets on a cover-slide for 20 seconds to avoid changes of LipA concentrations due to protein adsorption. The concentrations of the labeled proteins were in the range of 1.2 ± 0.1 nM. The fluorescence signal was recorded on a custom-built confocal microscope48 with polarization-resolved detection with parallel- and perpendicular-polarized channels, Fp(t) and Fs(t). Anisotropy was calculated using equation:

$${r}_{steady-state}=\frac{{F}_{p}-{G}_{f}{F}_{s}}{{F}_{p}+2{G}_{f}{F}_{s}}$$
(2)

where Gf is the detection efficiency ratio between parallel and perpendicular channel.

The average translational diffusion time tdif was calculated using Software Package for Multi-parameter Fluorescence Spectroscopy, Full Correlation and Multi-parameter Fluorescence Imaging49. Correlation curves G(tc) were approximated with 3-dimensional Gaussian diffusion model with 2 photophysical bunching terms:

$$G({t}_{c})=\frac{1}{N}{(1+\frac{{t}_{c}}{\langle {t}_{trans}\rangle })}^{-1}{(1+{(\frac{{\omega }_{0}}{{z}_{0}})}^{2}\times \frac{{t}_{c}}{\langle {t}_{trans}\rangle })}^{-\frac{1}{2}}+(1-{b}_{1}+{b}_{1}{e}^{-{t}_{c}/{t}_{b1}}-{b}_{2}+{b}_{2}{e}^{-{t}_{c}/{t}_{b2}})$$
(3)

here, the observation volume is approximated by a 3D-Gaussian volume with 1/e2 radii in the lateral (ω0) and axial direction (z0), with the particle number N, ‹ttrans› is the apparent average translational diffusion time for the free and complexed sLif and MD1 variants, respectively, b1,2 and tb1,b2 are amplitudes and times of the bunching terms.

The fraction of the complex xcomplex was obtained from the linear combination of the fluorescence parameters of free sLif-BDP FL and of sLif-BDP FL in presence of >10 μM of LipA, assigned to be associated with Lif-LipA complex.

Polarization-resolved full fluorescence correlation spectroscopy was performed with a confocal laser scanning microscope (FV1000, Olympus, Germany) equipped with a single photon counting device with picosecond time-resolution (4 detectors, PD5CTC, Micro Photon Devices, Bolzano, Italy; counting electronics, HydraHarp400, PicoQuant, Berlin, Germany) at 23.5 ± 0.5 °C. The sample was excited by the continuous wave parked beam at 488 nm and the fluorescence F was collected in s- and p- polarized channels, Fs(t) and Fp(t), respectively. Full cross-correlation curves, Gp,p(tc) and Gs,s(tc), Gs,p(tc) and Gp,s(tc), were obtained according to Felekyan et al.49. Data were processed as previously described in Möckel et al.20.

Time-resolved fluorescence anisotropy decay curves were recorded using a FluoTime300 fluorescence lifetime spectrometer (PicoQuant, Berlin, Germany) equipped with a pulsed super continuum laser SuperK Extreme (NKT Photonics, Denmark) as a light source running at 15.61 MHz and a wavelength of 488 nm in a temperature-stabilized cell at 20.0 ± 0.1 °C. The fluorescence and anisotropy decays were recovered by global fitting of the sum (Fp(tc) + 2GfFs(tc)) and difference (Fp(tc) − GfFs(tc)) curves as previously described (Eq. S2a,b)20.

In vitro binding of LipA and fluorescently labelled sLif

Labelled sLif/ sLifY99A –BDP FL (1.2 ± 0.1 nM of BFL, total concentration \({c}_{sLif}^{0}\) approximately 24 nM)) was incubated overnight at 4 °C with various concentrations of LipA (0–50 μM) in 10 mM glycine buffer (10 mM, pH 9) in protein low binding tubes (Sarstedt AG). Equilibrium dissociation constant KD was fitted using 1:1 binding model:

$${x}_{complex}=\frac{1}{{c}_{sLif}^{0}}(\frac{{K}_{D}+{c}_{sLif}^{0}+{c}_{LipA}^{0}}{2}-\sqrt{{(\frac{{K}_{D}+{c}_{sLif}^{0}+{c}_{LipA}^{0}}{2})}^{2}-{c}_{sLif}^{0}\cdot {c}_{LipA}^{0}})$$
(4)

where xcomplex is a fraction of Lif in complex with LipA, KD is a dissociation constant and \({c}_{sLif}^{0}\) and \({c}_{LipA}^{0}\) are the total concentrations of sLif and LipA.