2.1. F25 mutations do not impair protein expression of hPGK1 as a folded protein
Upon expression in E.coli and purification with two chromatographic steps, IMAC and SEC (Figure 2A) we obtained hPGK1 of a very high purity and also confirmed that all variants showed similar hydrodynamic behavior to that of the WT protein (i.e. monomeric; the elution volume was very similar to that of ovalbumin, with a MW of 44 kDa). Since hPGK1 is often purified with certain small molecules bound to the protein (possibly nucleotides or small polynucleotides, based on the UV-visible absorption and CD spectra and consistent with the ability of the enzyme to interact with such type of molecules, e.g. ADP and ATP), we therefore included a step of precipitation with streptomycin between the IMAC and the SEC. The final protein samples contained virtually no additional signals in the near-UV range (Figure 2B).
Further conformational analyses were carried out using CD to test the effect of mutations on the overall conformation of the protein. Far-UV CD spectra revealed the typical spectra for a protein rich in α-helix such as hPGK1 (Figure 2C) and closely resembled results from previous studies 28,37. We must note that the Far-UV CD intensity was slightly lower for the mutant F25G, suggesting that this mutation could slightly distort the overall secondary structure of the protein. Mutants F25G and F25W also reduced the strongest signal in the Near-UV CD spectra (at about 290 nm; consistent with the dichroic signal from Trp residues) suggesting local distortions of the tertiary structure (Figure 2D).
Overall, these analyses support that the F25 mutants largely maintained the overall structure of the WT protein.
2.2. Thermal stability of hPGK1 variants
Thermal denaturation of hPGK1 has been described well by using a simple two-state irreversible denaturation model 28. To initially assess the effect of mutations on hPGK1 thermal stability, we acquired the CD signals spectra varying the temperature from 20 to 75 oC. Both Far- and Near-UV CD monitored thermal denaturation experiments provided similar results (Figure 3). The apparent Tm decreased according to the size of cavity (from 2-3 oC in F25L to 6-8 oC in F25G, compared with those values of WT), whereas F25W (that may introduce certain conformational strain) showed an apparent Tm very similar to that of F25A.
To provide deeper knowledge of the effects of F25 mutants on the kinetic stability (i.e. the rate constant for irreversible denaturation, k and activation energy, Ea) of hPGK1, we applied DSC using previously described protocols for this protein 30. The results from these analyses are summarized in Figure 4 and Tables 1-2. In agreement with thermal denaturation monitored by CD, we observed a progressive decrease in Tm in the cavity-making mutants (F25G decreases the Tm by ~7 oC). The mutant F25W showed again a similar behavior to that of F25A, with a decrease of ~4.5 oC. The destabilization induced in the thermal denaturation process by each individual mutation using different probes (DSC, Far-UV and Near-UV CD spectroscopies) are very close at similar scan rates (Figure 3 and S1-S2).
It is also interesting to note that the decrease in thermal stability correlates strongly with the Ea values for irreversible denaturation and the Tm values as determined by DSC (Figures 4B-D and Tables 1-2). An overall linear fitting of Ea vs. Tm provides a value for the change in activation heat capacity (ΔCp≠) of 10.6±0.5 kcal·mol-1 in a very good agreement with our previous analyses that yielded a value of 9.1±0.8 kcal·mol-1 28 (Figure 4D). Notably, the mutation F25G decreased the Ea value by 75 kcal·mol-1 (basically to a half of that for the WT protein).
These results have remarkable implications for the kinetic stability of hPGK1 variants in vitro, since the decrease in Tm values correlated with the decrease in Ea values, and thus, the extrapolated values of the kinetic rate constants at 37 oC (and therefore, the associated half-lives for denaturation) vary strongly among variants. We observed a gradual decrease of the half-life for irreversible denaturation correlating with the size of the cavity, from a small ~15-fold in F25L to a large ~6000-fold in F25G. Again, F25A and F25W showed similarly low kinetic stabilities (about 600-fold lower kinetic stability than that of the WT protein; extrapolated from Arrhenius plots to 37 oC) (Table 1).
It is worth noting that previous studies have shown that mutations associated with hPGK1 deficiency (a rare X-linked genetic disorder 3,29) also showed different effects on kinetic stability when extrapolated to 37 oC, up to 5 orders of magnitude lower than that of the WT protein in some cases. Interestingly, mutations found in COSMIC database also showed some signature of hPGK1 to be extremely sensitive to mutations regarding stability associated against thermal and chemical denaturation 27.
To further investigate the correlation found between the changes in Tm and Ea values, we have carried out DSC experiments in the presence of urea (Table 2 and Figure S1-S2). These analyses allow to extract the kinetic m≠ value for irreversible denaturation from detailed DSC analyses at different scan rates and urea concentrations 28,30,38. Comparing this value with the theoretical m value derived from the protein size (i.e. in number of amino acids), we can provide an estimate of the degree of the native hPGK1 structure which is denatured in the transition state for irreversible thermal denaturation (Table 3). Actually, these analyses revealed that, in contrast to hPGK1-deficiency causing mutants characterized so far 28, only the F25G showed a small decrease in value for the m≠ (Table 3). Thus, the Hammond effect (i.e. that the kinetic stability decreases as the transition state becomes more native-like) proposed for the hPGK1-deficiency causing mutants characterized in 28 does not seem to follow the same behavior that those of the F25 mutants characterized in the present work (Table 3).
2.3. Urea denaturation of F25 mutants reveals effects on both unfolding cooperativity and resistance to the urea-induced unfolding
An interesting feature of PGKs is that their chemical denaturation is generally reversible (e.g. using urea or guanidium chloride) 8,28,39. Therefore, this type of analysis is amenable for comparing the effects of mutations on thermodynamic stability and unfolding cooperativity. Urea-denaturation of WT hPGK1 resembles quite well a two-state folder 27,28 although the equilibrium m value is somewhat lower than the expected for a protein of this size. Importantly, urea-induced denaturation of 14 mutants, including those found in cancer cell lines and hPGK1-deficient patients, shows reduced unfolding cooperativity (in some cases the murea value was half of that of the WT protein). Interestingly, only in a few cases changes in the Cm values were observed 27–29.
To compare the behavior of F25 mutants vs. those naturally-occurring and disease-associated, we carried out similar urea-induced unfolding experiments (Figure 5). As previously described, denaturation of hPGK1 provides a value for the unfolding free energy of about 8 kcal·mol-1, based on the linear-extrapolation method (Table 4). The F25 mutants showed changes in urea-induced unfolding compared to the WT protein. The mutants F25L and F25V, as well as the strain-inducing F25W, caused a significant decrease in the unfolding cooperativity and Cm values (note that in this case F25W resembles F25V). Some mutants decrease the murea value by ≤ 50% of the value of the WT protein (Table 4). The most destabilizing variants were F25A (for which we could obtain reasonable and physically meaningful values) and F25G (that showed a denaturation profile similar to that of F25A but we could not get reliable estimations of Cm or murea, see Table 4). Therefore, for F25G and F25A, the unfolding cooperativity was severely reduced. Overall, these results suggest that increasing the cavity size, or introducing conformational strain, at least at the F25 site in hPGK1, increase the population of non-native state conformations, possibly even under native conditions. We further test this hypothesis by carrying out additional experimental and computational analyses under native conditions.
2.4. Proteolysis suggests a mild increase in the population of partially folded states in the hPGK1 mutants under native conditions
Proteolysis has been shown to provide information on the population of partially (un)folded, proteolytic sensitive substates in the native state ensemble of hPGK1 28,29. At low protease concentrations, the overall proteolytic rate for the WT protein is dependent on the protease concentration (Figure 6 and S4) 30 and thus, effects on this rate constant reflect to some extent the increased population of partially unfolded (i.e. cleavable) substates under native conditions. Interestingly, mutants F25L, F25V and F25A showed modest effects on proteolysis (1.3-1.8-fold increased sensitivity; Figure 6 and S4) while mutations F25G and F25W showed more clear effects (1.7-2.6-fold and 3.9-5.3-fold increase, respectively). Interestingly, the latter mutants showed overall proteolytic rates rather insensitive to protease concentration (Figure 6 and S4) suggesting that in these two variants the unfolding rate to the cleavable state may dominate the overall proteolytic rate.
2.5. Perturbations in the native ensemble of F25 mutants by HDX-MS
To provide experimental information on the effects of F25 mutations on the local stability of the native state ensemble, we carried out HDX-MS experiments. Analysis of the WT protein in a ligand-free conformation (Figure 7) provided some interesting results. First, the apparent local stability based on the overall exchange rate for diverse protein segments is highly different (Figure 7A). Second, the exchange rates are complex, and phenomenologically described in many cases by a double exponential function with a burst-phase (Figure 7B and Table 5). This suggests that different conformational substates are populated in the native state ensemble.
Similar experiments were carried out with the F25 mutants (Figures S5-S9). F25 mutations selectively affected the stability of certain regions in the protein (Figures S5-S9). Mutants F25L and F25V showed mild stability decreases in regions close to F25, while these effects were more extensive due to the mutation F25A (Figure 8). Mutants F25G and F25W showed the strongest effects in stability and were propagated to regions further than the mutated sites, particularly relevant in the domain-domain interface (Figure 8 and S10-11).
The kinetic stability (as determined by DSC; Tables 1-3) and unfolding cooperativity (as determined by isothermal urea denaturation; Table 4) are likely associated with the interaction surface between the N- and C-terminal domains (shown in Figures S10-S11). We next analyzed the effects of F25 mutations on this interface from HDX-MS data (Figure S11). These analyses showed that even the mutation F25V begins to perturb this interface, and mutants F25G and F25W have the largest effect, affecting 30-40% of the residues forming this interface (Figure S11). These results strongly suggest that the effects of F25 mutations on conformational stability and unfolding cooperativity can be, at least, partially explained by the structural destabilization of the domain:domain interface.
2.6. Statistical mechanical analysis of the effects of F25 mutations
To understand the extent to which mutations affect the different regions of the protein, we introduced mutations in silico (using PyMol) and studied three representative F25 mutants (F25V, F25A and F25G) via the WSME model. In each of the cases, no further modulation of structure was introduced as these are primarily truncating mutations. The mutated structures were fed into the WSME model and the free-energy profiles were predicted without changing any model parameters. The resulting ranking of destabilization matched the expectations from experiments, i.e. F25G > F25A > F25V (Figure 9A) and also indicated that the folded state of the NTD and CTD is uncoupled to some extent in the native state ensemble (intermediates I1 and I2, Figure 9B). In addition, we calculated the positive coupling free energies () for these variants, a parameter that report on the degree of relative thermodynamic coupling between residues that are folded 40. The effect of each of the mutations (mut) vs. the WT protein results in the mean difference in coupling free energies or perturbation, defined as , (plotted as a function of the residue number; Figure 9C). These results show a similar ranking of the mutations (F25G > F25A > F25V) according to their negative impact on thermodynamic coupling of folded regions in the native state ensemble.
As expected from the decoupled nature of the two domains, the perturbations are mostly localized to the NTD mirroring experimental observations. The mean perturbation magnitude (), i.e. the average of the values in Figure 9C corresponding to the first 200 residues (N-terminal domain), follows experimental HDX patterns with the F25G being the most perturbed (Figure 9D, top panel). The corresponding standard deviation in perturbation (), that measures the extent of distribution, followed a similar trend (Figure 9D, bottom panel), highlighting that the origins of the complex HDX-MS kinetics are a manifestation of population redistribution in the conformational landscape. The perturbation when mapped onto the structure (Figure 9E) vividly reveals the extent to which a single mutation affects neighbouring residues and the extent of coupling between them.
It is interesting that our local stability measurements using HDX-MS (Figure 8) and statistical mechanical models (Figure 9) show that destabilization caused by F25 mutations mostly restrict to NTD and increases with the predicted size of the cavity (F→L < F→V < F→A) and conformational entropy (F→A < F→G). These analyses indicate that gradual local destabilization (due to alterations of the interaction networks) is connected with the effects on the global stability (i.e. reversible by urea or kinetically-controlled by temperature) and unfolding cooperativity (Figures 4-5 and Tables 1, 2 and 4). Since hPGK1 WT resembles a two-state (un)-folder by urea, our results support that it displays certain heterogeneity of substates populated in the native state ensemble. It is likely that F25 mutation enhance such heterogeneity towards partially unfolded substates, thus accelerating HDX and reducing the apparent unfolding cooperativity. This link between local destabilization of the NTD and global denaturation effects (i.e. thermal and chemical denaturation) could be also partially explained by the effects of the F25 mutations on the domain:domain interface (Figure S11).