The metastability of human UDP-galactose 4ʹ-epimerase (GALE) is increased by variants associated with type III galactosemia but decreased by substrate and cofactor binding. Angel L. Pey1*, Esperanza Padín-Gonzalez1, Noel Mesa-Torres1 and David J. Timson2*. 1 Department of Physical Chemistry, Faculty of Sciences, University of Granada, Av. Fuentenueva s/n, 18071, Spain. 2 School of Biological Sciences, Queen´s University Belfast, Medical Biology Centre, 97 Lisburn Road, Belfast BT9 7BL, UK. * correspondence to: angelpey@ugr.es (A.L.P.) and d.timson@qub.ac.uk (D.J.T.) 1 Abstract Type III galactosemia is an inherited disease caused by mutations which affect the activity of UDP-galactose 4ʹ-epimerase (GALE). We evaluated the impact of four disease-associated variants (p.N34S, p.G90E, p.V94M and p.K161N) on the conformational stability and dynamics of GALE. Thermal denaturation studies showed that wild-type GALE denatures at temperatures close to physiological, and diseaseassociated mutations often reduce GALE’s thermal stability. This denaturation is under kinetic control and results partly from dimer dissociation. The natural ligands, NAD+ and UDP-glucose, stabilize GALE. Proteolysis studies showed that the natural ligands and disease-associated variations affect local dynamics in the N-terminal region of GALE. Proteolysis kinetics followed a two-step irreversible model in which the intact protein is cleaved at Ala38 forming a long-lived intermediate in the first step. NAD+ reduces the rate of the first step, increasing the amount of undigested protein whereas UDP-glucose reduces the rate of the second step, increasing accumulation of the intermediate. Disease-associated variants affect these rates and the amounts of protein in each state. Our results also suggest communication between domains in GALE. We hypothesize that, in vivo, concentrations of natural ligands modulate GALE stability and that it should be possible to discover compounds which mimic the stabilising effects of the natural ligands overcoming mutation-induced destabilization. Keywords.- Protein conformational stability; Protein dynamics; Protein aggregation; Proteolysis; Type III galactosemia; Ligand binding. 2 Introduction UDP-galactose 4ʹ-epimerase (GALE; EC 5.1.3.2) catalyses the interconversion of UDP-glucose (UDP-glc) and UDP-galactose (UDP-gal), a reaction which is required for galactose metabolism [1]. Defects in GALE activity due to mutations in the corresponding gene cause the inherited metabolic disease type III galactosemia (OMIM #230350). To date, 22 disease-associated variants of the protein have been described in the literature [2]. The symptoms of type III galactosemia are very varied. In the mildest forms of the disease, altered blood chemistry is observed and no interventions are recommended. In contrast, the most severe forms of the disease result in progressive damage to key organs including the kidneys, liver and brain. In such cases, reduction in dietary galactose intake is required. Currently this is the only available therapy for the disease. However, while this slows down the development of symptoms, it does not prevent or reverse them [3]. Human GALE functions as a dimer of two identical, 38 kDa subunits [4]. Sequence and structural analysis showed that GALE is a member of the short-chain dehydrogenase/reductase (SDR) family of enzymes [5]. Each subunit contains one active site with a tightly bound NAD+ cofactor which plays a key role in the catalytic mechanism of the enzyme [6] . This cofactor transiently oxidises the C4-OH group on the sugar moiety of UDP-galactose. Rotation of the sugar moiety, followed by its reduction from the opposite face reverses the stereochemistry at C4 and produces the product UDP-glucose [7]. Many GALE enzymes, including the human one, can also catalyse the interconversion acetylglucosamine [8]. of UDP-N-acetylgalactosamine and UDP-N- These compounds are precursors in the synthesis of glycoproteins and glycolipids and disturbances in this metabolism are likely to contribute to molecular pathology [9]. 3 Many of the disease-causing mutations affect GALE catalytic properties (e.g. p.G90E, p.V94M and p.K161N) and there is some degree of correlation between the degree of impairment of the turnover number (kcat) and the severity of the disease phenotype. In some cases, disease-associated variations in GALE affect its conformational stability (e.g. p.N34S, p.G90E and p.K161N) or reduce the affinity for the NAD+ cofactor [10-13]. Thus, disease-associated variants may result in altered stability, reduced catalytic activity and/or cofactor binding. However, binding of the substrate (UDP-gal), the product (UDP-glc) or its cofactor (NAD+) may enhance the protein’s conformational stability [10, 12, 14]. Nevertheless, the effects of sequence alterations on local and global GALE stability and the modulation by ligand binding on the pathogenesis of type III galactosemia are not well explored or understood. Here, we provide new insight on the conformation, stability, dynamics and ligand binding to WT GALE and four disease-associated variants (p.N34S, p.G90E, p.V94M and p.K161N), using a combination of spectroscopic analyses, thermal denaturation and kinetics of proteolysis. These variants were chosen to represent a diverse spectrum of GALE variants. p.N34S (c.101A>G; rs121908046)1 has near wildtype kinetics when assayed in excess NAD+, but has a much lower affinity for this cofactor than the wild-type [10, 16]. Similarly, p.K161N (c.483G>T; no rs number) also has reduced affinity for the cofactor, but has very low activity even in the presence of excess NAD+ [12]. p.G90E (c.269G>A; rs28940882) is highly unstable towards limited proteolysis studies and has a turnover number (kcat) reduced approximately 800-fold compared to wild-type [11]. p.V94M (c.280G>A; rs121908047) is the variant most commonly found in severely affected patients [10, 11]. It is also highly catalytically impaired (30-fold reduction in kcat) [10, 11]. Interestingly, it has been reported that this “p.” refers to the protein sequence and “c.” to the DNA coding sequence [15]. “rs” stands for “reference SNP” and identifies these single nucleotide polymorphisms in databases such as NCBI SNP and Ensembl. 1 4 variant is slightly more stable towards limited proteolysis than the wild-type [11]. A recent computational study predicted little change in the global flexibility of p.V94M compared to the wild-type [13]. Of particular significance are our findings on the stabilizing effects towards partial denaturation and proteolysis upon ligand binding; these suggest that long-range transmission of binding effects between domains leading to significant changes in protein local flexibility and dynamics, and in dimer stability. Therefore, our results provide a deep understanding of the mutational effects on protein stability and dynamics in type III galactosemia which are important, first for unravelling the fundamental links between sequence changes and disease, and second for the design of small molecules to stabilise the disease-associated variants (i.e. pharmacological chaperones) [17-19]. 5 Materials and methods Protein expression and purification Human GALE proteins were expressed in, and purified from, E. coli essentially as described previously [10]. E. coli BL21(DE3) cells were transformed with plasmids containing WT and mutant GALE cDNAs. An overnight culture grown in Luria–Bertani media supplemented with 0.1 mg/ml ampicillin was diluted 1:20 into 1 L of Luria– Bertani media supplemented with 0.1 mg/ml ampicillin. The cells were grown at 37 ºC to OD600 of 0.6 and then induced with 0.5 mM isopropyl--D-thiogalactopiranoside (IPTG) for 8 h at 25 ºC. Cells were then harvested and frozen at -80 ºC for 16 h. Cells were resuspended in binding buffer (20 mM Na-phosphate, 300 mM NaCl, 20 mM imidazole pH 7.4 and COMPLETE EDTA-FREE protease inhibitor cocktail from Roche) and disrupted by sonication. The supernatants obtained after ultracentrifugation (70000 g, 30 min, 4 ºC) were loaded onto immobilized metal affinity chromatography columns (GE Healthcare), washed with binding buffer (50 bed volumes) and eluted using binding buffer supplemented with 250-500 mM imidazole. These eluates were loaded onto a Superdex 200 prep grade column (GE Healthcare) running in 20 mM Hepes-OH 200 mM NaCl pH 7.4 and calibrated using the following standards: blue dextran (void volume), thryroglobulin (669 kDa), alcohol dehydrogenase (141 kDa), bovine serum albumin (66 kDa), ovalbumin (45 kDa), carbonic anhydrase (29 kDa), cytochrome C (12.3 kDa) and acetone (total volume). Those fractions corresponding to GALE dimers (retention time of 88.00.2 ml for the five variants in two independent purifications) were pooled, concentrated, flash frozen in liquid nitrogen and stored at 80 ºC. Protein concentration was measured spectrophotometrically using ε280 of 46215 M-1·cm-1, which is based on the primary sequence of GALE and using the procedure of Pace and coworkers [20]. 6 Spectroscopic and dynamic light scattering studies Absorption spectra were measured in an Agilent 8453 diode-array spectrophotomer, using 40 M GALE in monomer and 3 mm pathlength quartz cuvettes. Emission fluorescence spectra were acquired in Cary Eclipse spectrofluorimeter using 3 mm pathlength quartz cuvettes and 4 M GALE in monomer, with an excitation wavelength of 280 or 295 nm, and slits for emission and excitation of 5 nm and a scan rate of 200 nm/min. Circular dichroism was measured in a Jasco J-710 spectropolarimeter, using 4 M (far UV) or 20 M (near UV-visible) GALE, and scan rates of 50 (far UV) and 100 (near UV-visible) nm/min. Dynamic light scattering (DLS) was carried out in a DynaPro MSX instrument (Wyatt) using 1.5 mm path length cuvettes and 20 µM protein monomer at 25 ºC. 25 spectra were acquired for each DLS analysis in three independent replicates, averaged and used to determine the hydrodynamic radius and polydispersity using the average autocorrelation function and assuming a spherical shape. These experiments were performed in 20 mM HEPES-OH 200 mM NaCl pH 7.4 at 25 ºC, except far UV CD which were acquired in 20 mM Kphosphate 200 mM KCl pH 7.4, and blanks in the absence of protein were routinely measured and subtracted. Secondary structure content was determined using the K2D3 algorithm [21] (available online http://www. ogic.ca/projects/k2d3). Differential scanning calorimetry (DSC) DSC experiments were performed on a capillary VP-DSC differential scanning calorimeter (GE Healthcare) with a cell volume of 0.135 mL. Thermal scans were performed at a rate of 3°C·min-1 in a temperature range of 2−80 °C using 10 μM GALE (in monomer) in 20 mM HEPES-OH, 200 mM NaCl pH 7.4, unless otherwise indicated. In some experiments, NAD+ or UDP-glucose was added to a final concentration of 1 mM (unless otherwise indicated), and their concentration was measured using an ε259 of 7 16900 M-1·cm-1(NAD+) and ε262 of 10000 M-1·cm-1(UDP-glucose). To estimate the apparent Tm and denaturation enthalpies (H), we applied a simple two-state irreversible denaturation model as described [22-24]. Isothermal titration calorimetry (ITC) ITC experiments were performed on an ITC200 titration microcalorimeter (GE Healthcare) with an operating cell volume of 206 L. In the calorimetric cells, we placed a solution of 25 M GALE (monomer) in 20 mM HEPES-OH 200 mM NaCl pH 7.4, while in the titrating syringe we put 500M of ligand (NAD+ or UDPglucose) in 20 mM Hepes-OH 200 mM NaCl pH 7.4. Experiments were performed at 25 ºC by performing 1 × 0.5L plus 30 × 1.2L (NAD+) or 1 × 0.5L plus 60 × 0.6 L (UDP-glucose) injections upon continuous stirring at 1000 rpm. Binding heats were integrated and corrected for dilution heats. Binding isotherms were analyzed using a single type of independent and identical binding sites model found in the software provided by the manufacturer. Briefly, the heat (Q) evolved from the non-ligated GALE species to a given saturation fraction is expressed by the following equation: 𝑄= 𝑛𝑀𝑇 Δ𝐻𝑉0 2 𝐿 (1 + 𝑛𝑀𝑇 + 𝑛𝐾 𝑇 1 𝑎 𝑀𝑇 𝐿 − √(1 + 𝑛𝑀𝑇 + 𝑛𝐾 𝑇 1 𝑎 𝑀𝑇 2 4𝐿 ) − 𝑛𝑀𝑇 ) 𝑇 where n is the binding stoichiometry per GALE monomer, MT is the GALE concentration in monomer, H is the binding enthalpy, V0 is the cell volume, LT is the total ligand concentration and Ka is the association ligand binding constant. This equation can be used to determined to total heat evolved after the ith injection [Q(i)]. The corresponding expression for the heat evolved [Q(i)] between two consecutive injections i-1 and i is provided by the following equation: 8 Δ𝑄(𝑖) = 𝑄(𝑖) + Δ𝑉𝑖 𝑄(𝑖) + 𝑄(𝑖 − 1) [ ] − 𝑄(𝑖 − 1) 𝑉0 2 Where Q(i) and Q(i-1) are the total heats evolved after i and i-1 injections, respectively, and Vi is the volume of injection i. From this equation, the binding parameters (n, H and Ka) are obtained by Marquadt methods and iteration. Proteolysis by thermolysin Thermolysin from Bacillus thermoproteolyticus rokko was purchased from Sigma-Aldrich, buffer exchanged to 20 mM HEPES-OH, 200 mM NaCl pH 7.4 and stored at -80 ºC (its protein concentration was measured using 280=66086 M-1·cm-1). For SDS-PAGE analyses, thermolysin and GALE enzymes were customarily incubated for 10 min at 25 ºC in 20 mM HEPES-OH, 200 mM NaCl pH 7.4, in the absence or presence of 1 mM NAD+ or UDP-glucose, and then mixed to a final concentration of 1 M and 20 M, respectively, in a final volume of 200 L. The time-course of proteolysis was monitored upon withdrawal of 20 L of the reaction mixture, mixed with 5 L of EDTA 100 mM pH 8 and denaturated in Laemmli’s buffer. Samples were analyzed in 12% acrylamide gels and the bands were scanned and their intensities integrated using the ImageJ software (http://rsbweb.nih.gov/ij/). To identify the primary cleavage site in GALE, thermolysin and p.G90E GALE enzymes were incubated for 10 min at 25 ºC in 20 mM HEPES-OH, 200 mM NaCl pH 7.4, and then mixed to a final concentration of 1 M and 10 M, respectively, in a final volume of 1 mL. The reaction was allowed to proceed for 5 min at 25 ºC, quenched adding 250 L of EDTA 100 mM pH 8. This mixture was buffer exchanged to water using VIVAspin 500 filters (10 kDa cut-off) and then concentrated to 200 L and 9 splitted in two aliquots: i) 100 L was denatured in Laemmli´s buffer and run in a 12% SDS-PAGE followed by electrofransference to a PVDF membrane. The membrane was stained with Coomasie blue G-250 and the band corresponding to the 35 kDa cleaved form were cut, destained and equilibrated in water for N-terminal sequencing by the Edman´s method (performed at the service of Protein Chemistry, Centro de Investigaciones Biológicas, Madrid, Spain). ii) 100 L was submitted for High performance liquid chromatography/electrospray ionization mass spectrometry (HPLC/ESI-MS) analyses. HPLC/ESI-MS was performed in a Acquity UPLC system (Waters), using a gradient of water/formic acid (0.1%) and acetonitrile/formic acid (0.1%) in a Acquity UPLC® BEH300 C4 column (2.1x50 mm; Waters) coupled to a QTOF Synapt62 HDMS (Waters) (performed at the high-resolution mass spectrometry unit, Centro de Instrumentacion Cientifica, Universidad de Granada). Kinetic models for irreversible denaturation/proteolysis of GALE enzymes in the absence or presence of a ligand We considered a simple kinetic model to simulate the effect of ligands on the rate of denaturation/proteolysis of GALE in which ligand-bound (GALE-L) and ligand free (GALE) undergo irreversible denaturation/proteolysis with first-order rate constants kF-L and kF respectively to yield the final state F: 𝐺𝐴𝐿𝐸 − 𝐿 ↔ 𝐺𝐴𝐿𝐸 + 𝐿 kE-L 𝐹+𝐿 kE 𝐹 In the presence of ligand the kinetic stability of GALE will shift from the stability of the 10 ligand-free protein (GALE) to the stability of the ligand-bound protein (GALE-L), and the overall rate of denaturation will be determined by the rate constants of the ligandfree (kE) and ligand-bound protein (kE-L) to undergo denaturation or proteolysis as well as the concentration of ligand-free and ligand-bound protein, according to this rate law: 𝑑[𝐺𝐴𝐿𝐸]𝑡𝑜𝑡𝑎𝑙 = −(𝑘𝐸−𝐿 [𝐺𝐴𝐿𝐸 − 𝐿] + 𝑘𝐸 [𝐺𝐴𝐿𝐸]) 𝑑𝑡 For illustration, in these simulations the value of kE is arbitrarily fixed to 10 min-1, while kE-L values used are 1, 0.1 or 0.01 min-1. Therefore, the ratio of kE/ kE-L but not the absolute values of these constants, will determine the dependence of the kinetic stabilization exerted by the ligands as a function of total ligand concentration. The fraction of GALE protein as free and ligated protein as a function of free ligand concentration ([Ligand]) are estimated from a binding polynomial considering one site per GALE monomer, a Kd for the ligand of 1 M (Ka=106 M-1) and total GALE concentration of 10 M in monomer. The binding polynomial (P) is given by: P=1+Ka·[Ligand]. The protein concentration in each state is given by: [𝐺𝐴𝐿𝐸] = [𝐺𝐴𝐿𝐸 − 𝐿] = 1 𝑃 𝐾𝑎 · [𝐿𝑖𝑔𝑎𝑛𝑑] 𝑃 Results The effect of disease-causing mutations on GALE conformation and ligand binding Figure 1A shows the location of the altered residues in p.N34S, p.G90E, p.V94M and p.K161N on the crystal structure of GALE in the presence of NADH and 11 UDP-glucose (PDB:1EK6; [25]). N34, G90 and K161 cluster around the NAD+ binding site, while V94 is next to the UDP-glucose binding site. Interestingly, p.G90E, p.V94M and p.K161N cause a dramatic decrease in catalytic efficiency, from 40-fold (p.V94M) to 1000-2000-fold (p.G90E and p.K161N) [10, 12]. We have expressed WT and the four disease-causing mutants in E. coli, and the purified proteins were analyzed by spectroscopic methods under native conditions. We first noticed that the UV-visible absorption spectra of WT and p.V94M differed from the other GALE enzymes (Figure 1B, upper panel). These spectral changes are compatible with the presence of cofactor/substrates bound to these two variants and not released along the purification process. In the case of WT GALE, intrinsic fluorescence spectra also support the presence of bound cofactor (Figure 1B, lower panel), but in all cases, the fluorescence spectra show a maximum at 325 nm, consistent with similar tertiary structures. The overall secondary structure of GALE enzymes was evaluated by far-UV CD spectroscopy using the K2D3 algorithm, showing similar content for all variants (Figure 1C; The average for the five GALE enzymes -helical and -sheet content were 31.31.2% and 22.71.2%, respectively). The tertiary structure of the GALE enzyme was further investigated by Near-UV CD spectroscopy (Figure 1D), showing similar signals in the aromatic region for all enzymes (250-300 nm) and some signals in the 300-400 nm region in WT and p.V94M which may arise from bound substrate and/or cofactor. Finally, we studied the hydrodynamic behavior of GALE enzymes by dynamic light scattering (Figure 1E). WT GALE displayed a hydrodynamic radius of 3.80.1 nm, consistent with a molecular size of 765 kDa (i.e, a dimer), and very similar to the size estimated along GALE purification by SEC (~70 kDa). None of the variant GALE enzymes showed significant changes in the hydrodynamic size, and the high monodispersity found for all them suggested that the GALE dimer is the main 12 species under native conditions. We have evaluated the binding affinity of GALE enzymes for NAD+ and UDPglucose by isothermal titration calorimetry (see Figure 2A and 2C for representative titrations). As isolated, WT GALE binds both ligands sub-stoichiometrically, suggesting that the binding sites are already partially filled with these (or equivalent) ligands, in agreement with the spectroscopic evidence shown in Figure 1B. Regarding GALE variants, p.V94M and p.K161N show partially occupied binding sites (n0.4), while ligand binding to p.N34S and p.G90E is almost stoichiometric (n0.8; Table 1). Thus, the Kd values determined using these GALE enzymes must be considered as apparent values, which enable comparison of the variants with a given ligand and both ligands for a given enzyme. The binding affinity of WT for both substrates is moderate, with Kd values around 1 M and 8 M, for NAD+ and UDP-glucose, respectively The diseaseassociated variants display different effects on the binding of ligands (Table 1). All mutants show similar affinity for UDP-glucose to WT GALE, with the exception of p.K161N, which binds this ligand with about 10-fold higher affinity. Regarding NAD+ binding, the most significant changes are observed for p.K161N, which decreases the binding affinity by 10-fold, in agreement with previous evidence [12], and p.G90E, which does not show a noticeable binding signal (which could be explained with a markedly decreased binding affinity and/or binding enthalpy). The low response of this mutant to NAD+ regarding thermal stability and proteolysis kinetics further support a low binding affinity in this mutant (see below, Figures 4 and 5). The presence of partially saturated binding sites in some GALE enzymes as purified prompted us to attempt removal of these pre-bound ligands by dilution of the samples to favour ligand release by dialysis, SEC and dilution-concentration cycles (see 13 Supplementary Information for a detailed description of these methods and associated results). The success in removing bound ligands was tested by direct ITC titrations with NAD+ and UDP-glucose (see Table S1). Unfortunately, none of these procedures restored the full binding capacity of GALE enzymes, even though in some cases a slight improvement is observed. The apparent Kd values obtained with or without using these procedures were comparable, and support our conclusions regarding the mutational effects on the apparent binding affinity for NAD+ and UDP-glucose (Table 1 and S1). We must note all these procedures led to significant protein loss due to aggregation, and SEC analyses suggested that dimer-monomer equilibrium is shifted towards the monomer at very low protein concentrations (see Supplementary Information), which implies that further dilution of GALE enzymes to facilitate ligand binding is leading to irreversible denaturation of the enzyme due to the instability of monomeric GALE. Thermal denaturation studies We studied the thermal stability of GALE enzymes by differential scanning calorimetry (DSC; Figure 3). Thermal scans of WT GALE showed an apparent single transition with a Tm44 ºC and a denaturation enthalpy of 88 kcal·mol-1 (Figure 3A and Table 2). In GALE variants, this apparent single transition seems to split into two well resolved transitions, since the sum of their denaturation enthalpies (5410 and 368 kcal·mol-1, for the low and high temperature transitions; see Table 2) agree well with the single transition observed for WT GALE. These results suggest that the single transition in WT GALE may be composed of two overlapping transitions (with Tm values of about 44 °C and 51 °C, see Figure 3A-C). The low temperature transition in GALE mutants and the single transition in WT GALE are highly irreversible, scan-rate and protein-concentration dependent (Figure 3B-G), indicating that this transition in 14 denaturation of GALE is under kinetic control and involves dimer dissociation [26]. The high temperature transition may result from further denaturation of partially folded monomers. p.N34S, p.G90E and p.K161N seem to decrease the Tm of the low temperature transition by 4-7 ºC compared to WT GALE, while p.V94M shows little or no effect (Figure 3A and Table 2). Regarding the high temperature transition, only p.K161N shows an effect; there is a 5 ºC increase in the Tm of this transition (Figure 3A). We must note that denaturation enthalpies are known to scale with the protein size and the degree of denaturation upon heating [27]. For a protein of GALE’s size (354 residues, including the his-tag), a denaturation enthalpy of about 168 kcal·mol-1 is expected at the Tm of WT GALE which is almost double the experimental value. This suggests that the thermally denatured GALE proteins retain a significant amount of residual structure. The presence of residual structure in the thermally denatured state of GALE is supported by comparison of far-UV CD and fluorescence spectra at low (25 °C) and high (60 °C, at which both denaturation transitions have fully developed) temperatures and in the presence of 6M guanidium hydrochloride at low temperature (Figure S1). Addition of a large excess of either GALE cofactor (NAD+) or substrate (UDPglucose) has remarkable effects on the denaturation of GALE enzymes (Figure 4). Addition of NAD+ increased the Tm of the low temperature transition, leading to an apparent single peak for WT and p.V94M (with a Tm of 50 ºC), while in p.N34S and p.K161N two peaks were still well resolved, but the low Tm transition was shifted upwards by 5-6 ºC. In the case of p.G90E, NAD+ up-shifts the low Tm transition by only 1 ºC, supporting the strong defect in this enzyme for NAD+ binding shown by ITC (Figure 2 and Table 1). Addition of UDP-glucose always led to a two-peak profile, with an up-shift in the low temperature transition from 2-3 ºC (WT and p.V94M) to 6-8 ºC 15 (p.N34S, p.G90E and p.K161N) and no clear effect on the high-temperature transitions. Thus, the stabilizing effect of NAD+ and UDP-glucose on these GALE enzymes correlates well with their corresponding ligand binding affinities. Since denaturation of GALE is under kinetic control and involves dimer dissociation, these ligand effects must translate at least into kinetic stabilization of the GALE dimer in the presence of these natural ligands. Proteolysis of GALE enzymes Proteolysis have been proven to be an insightful tool to evaluate mutational effects on protein folding, stability and dynamics (e.g. [10, 28]). We have measured the proteolysis kinetics of GALE enzymes by thermolysin under native conditions (at 25 ºC, well below the denaturation temperature shown by DSC; Figure 5A). Proteolysis rates linearly depended on the protease concentration (Figure 5B-C), with a 5.8-fold increase in the proteolysis rate constant from 0.2 to 1 M protease, demonstrating that, under these conditions, the proteolysis step is rate-limiting [28, 29]. All the diseaseassociated variants show enhanced sensitivity to proteolysis, with half-lives lower than that of WT GALE, from 1.4-fold (p.K161N), 2.3-fold (p.V94M) to 15-fold (p.N34S and p.G90E) (Figure 5C-G and Table 3). Interestingly, these results correlate well with the Tm values for the low-temperature transition obtained from DSC (Figure S2). Since the proteolysis step is rate-limiting, an interesting possibility is that thermal denaturation and proteolysis experiments are correlated because native state local flexibility/dynamics and stability towards partial unfolding are linked. In the presence of NAD+, WT GALE is degraded 1.6-fold slower (Figure 6C and Table 3). All the variants show stabilization upon NAD+ binding, ranging from 1.8-fold (p.G90E) to 18-fold (p.N34S) (Table 3 and Figure 6D-G). In the presence of UDP- 16 glucose, WT GALE is degraded 1.9-fold slower (Figure 6C and Table 3). All the mutants show stabilization upon UDP-glucose binding, ranging from 2.0-fold (p.V94M) to 10-13-fold (p.K161N and p.N34S) (Table 3 and Figure 6-D). The lower stabilizing effect of these ligands on WT GALE compared to some mutants might be explained the partial saturation of these binding sites in the WT protein in the absence of exogenously added NAD+ or UDP-glucose (Table 1). Beyond the effects on the sensitivity of GALE native state towards proteolysis, disease-associated variants and ligands have significant effects on the partial proteolysis pattern of GALE (see Figure 5A and 6). Proteolysis of WT GALE showed the accumulation of a 35 kDa band in the absence of ligand, which comigrates with the thermolysin but its intensity is stronger and time-dependent, supporting the accumulation of a partially proteolyzed form of GALE (Figure 5A and 6A). Interestingly, the presence of NAD+ decreased the intensity of this band to values corresponding to those of thermolysin (Figure 6B). In the presence of UDP-glucose, this partially cleaved state is populated to a larger extent (Figure 5A and 6C), suggesting that UDP-glucose binding stabilizes this partially cleaved state towards proteolytic attack. All these results can be qualitatively explained by using a simple two-step mechanism as the following: 2 N ¾k1¾ ® I ¾k¾ ®P where proteolysis of native GALE (N) leads to the formation of a partially proteolyzed state of 35 kDa (I, determined by a rate constant k1), and this state is further cleaved to low molecular mass fragments (P, with a rate constant k2). In the absence of ligands, k2 ~k1, leading to low population of the intermediate I state in WT GALE (Figure 6A). In the presence of NAD+, the N state is kinetically stabilized to a larger extent than the I 17 state, leading to very low population of I (i.e. k2 >k1) (Figure 6B). In the presence of UDP-glucose, the I state is stabilized to a larger extent than the N state (i.e. k2 <k1), leading to accumulation of I state (indeed, the sum of N and I over two hours of proteolysis almost equal the initial load of GALE WT; Figure 6C). This simple model also explains the behavior found for variant GALE enzymes. For instance, p.N34S and p.G90E strongly destabilize the N state towards proteolysis (i.e. k2 <k1) and show a larger accumulation of the I state (Figure 6D and 6G). Addition of NAD+ stabilizes largely p.N34S but not p.G90E, thus causing accumulation of the I state only for p.G90E (Figure 6E and 6H). Consistently, addition of UDP-glucose stabilized the N state of both p.N34S and p.G90E, thus leading to accumulation of the I state for both GALE enzymes (Figure 6F and 6I) (i.e. k2 <k1). Although this model is likely to present a simplified picture of GALE proteolysis kinetics, it nevertheless explains the accumulation of the I state due to effects on the stability of the N state (e.g. by mutations or NAD+ binding) or the stabilization of the I state (e.g. by UDP-glucose binding). To identify the primary cleavage site of GALE by thermolysin, we used GALE p.G90E and a 5 min digestion time, in order to minimize proteolysis of secondary cleavage sites and to form a significant amount of the 35 kDa cleavage product (about 20% of initial GALE). HPLC/ESI-MS analyses of this proteolysis mixture provided two main forms, with a mass of 39116.4 Da (corresponding to intact GALE; theoretical mass 39104.5) and 34329 Da (corresponding to the 35 kDa cleavage product identified by SDS-PAGE). Among the 105 theoretical cleavage sites in GALE, these results are consistent with cleavage between Ala38 and Phe39 cleavage, which would release a fragment with a theoretical mass of 34300 Da. N-terminal sequencing of this cleavage product showed the sequence Phe-Arg-Gly-Gly, confirming the cleavage between 18 Ala38 and Phe39. The primary cleavage site is located in a highly solvent exposed loop (residues 34-45) at the N-terminal domain (Figure 7A and B). This loop seems to be quite flexible based on the comparatively high B-factors determined from the crystal structure (Figure 7C). Thus, it is likely that thermolysin cleaves at this site in the native state without requiring a local or global unfolding event. Thus, the sensitivity of the native state towards proteolysis and the mutational- and ligand-effects must be explained by changes in native state conformational dynamics. Kinetic modeling supports that pre-bound ligands do not account for the mutational and ligand effects on thermal stability and proteolysis sensitivity In the previous section, we have shown that disease-causing GALE mutations affect protein thermal stability and sensitivity to proteolysis, while NAD+ and UDP-glucose binding stabilize GALE enzymes. However, WT GALE and to lesser extent p.V94M and p.K161N, have significant amounts of pre-bound ligands as purified, and our attempts to remove them were unsuccessful. Interestingly, the dependence of thermal stability and proteolysis of purified GALE enzymes over a wide range of ligand concentration show that the addition of stoichiometric amounts of ligand only slightly affect thermal stability and sensitivity to proteolysis (Figure S3; note that the changes in Tm exponentially translate into kinetic stabilization), while an large excess of ligand stabilize to a larger extent. To test whether pre-bound ligands might explain the differences in stability between GALE variants, we have evaluated the effect of ligands (with the same binding affinity as NAD+) on the rate of denaturation/proteolysis by kinetic model simulations. To do so, we have evaluated the fraction of GALE monomer found in a unligated- and ligated-state as a function of total ligand concentration (Kd=1 M; Figure 19 8A). Then, we determined the initial rate of denaturation/proteolysis using a model in which ligated and unligated GALE undergo the irreversible process with different rate constants kE-L and kE, respectively, and using different ratios between these two rate constants (Figure 8B), observing two clearly different regimes: i) at total ligand concentrations equal or lower than the monomer concentration, there is a sharp decrease in the fraction of unligated species as total ligand concentration is raised, leading to a several-fold kinetic stabilization. In this regime, the extent of kinetic stabilization isquite insensitive to the ratio of the ratio kE/kE-L (Figure 8C); ii) at higher total ligand concentrations, further kinetic stabilization is observed as the total ligand concentration is raised. In this regime, a small change in the saturation fraction (for instance, from 0.99 to 0.999) causes a large kinetic stabilization (up to a 10-fold increase at very high kE/kE-L ratios ) due to the decrease in the fraction of kinetically sensitive unligatedspecies (from 0.01 to 0.001, in this particular example). Therefore the dependence of the kinetic stabilization on total ligand concentration clearly depends on the kE/kE-L value at very high ligand concentrations (see the different saturation behaviour in Figure 8C). Then, we considered saturation values consistent with the prebound-ligand fraction determined for WT (0.8), p.V94M and p.K161N (0.5) and p.N34S and p.G90E (0.2) (Figure 8B). The corresponding initial rates towards irreversible denaturation for these saturation fractions are 2.590.08 (WT), 1.700.02 (p.V94M and p.K161N) and 1.240.01 (p.N34S and p.G90E) fold lower than the rate of the corresponding unligated species (means.d. using three different kE/kE-L ratios, showing the rate is independent of this ratio at the low ligand concentration regime). These analyses have two important implications: i) prebound-ligands might exert up to a three-fold stabilization in WT vs. GALE variants, which is much lower than fifteen-fold difference obtained experimentally for p.N34S and p.G90E (Table 1). Thus, the pre-bound ligands can only 20 explain a small fraction of the higher stability of WT towards proteolysis (and possibly thermal denaturation as judged by Tm(1) values) without added ligands; ii) the higher stabilizing effect of added ligands towards proteolysis (and thermal stability) in some GALE variants might imply different values of the ratio kE/kE-L from those of WT GALE, since these experiments are performed with 1 mM ligand (the high ligand concentration regime) and these ratios determine the saturation behaviour of the kinetic stabilization vs. total free ligand concentration (Figure 8C). Thus, these simulations may also explain how the different ligand concentration dependence of proteolysis rates constants and Tm values for thermal denaturation between GALE variants (Figure S3) together with changes in ligand binding affinities. Discussion The role of protein stability, conformational dynamics and ligand binding have been investigated here for WT GALE and four variants associated with type III galactosemia. Our results show that GALE dimer is marginally stable and partially denatures at temperatures close to physiological. p.N34S, p.G90E and p.K161N may further destabilize GALE dimer towards partial denaturation, thus rendering a kinetically unstable protein at physiological temperature. Interestingly, p.N34S and p.G90E are also much more sensitive to proteolysis than WT GALE, indicating greatly altered local conformational dynamics in the N-terminal region of these two variants. In contrast, p.V94M shows similar resistance to proteolysis compared to WT. This is consistent with molecular dynamics (MD) simulations of this variant which predicted little change in the global flexibility of the protein [13] and previous experimental studies [10, 30]. In all cases, substrate and/or cofactor binding modulate the sensitivity of GALE enzymes towards thermal denaturation and proteolysis, suggesting that alterations in dimer stability and local dynamics by disease-causing mutants can be 21 efficiently modulated by binding to either natural or pharmacological ligands. These effects were comparable between WT and p.V94M, again consistent with MD work which predicted little or no change in binding affinity of this variant for the substrate and the cofactor [13]. The results are also consistent with previous biochemical work which showed that p.G90E is one of the most unstable of the currently known variants [10]. This suggests that this variant could be associated with very severe forms of the disease; however, to date, it has only been found in a heterozygous patient [31]. In a diploid Saccharomyces cerevisiae model deleted for both copies of the yeast GALE (GAL10) and heterozygous for human WT and p.G90E, GALE activity was approximately 50% of that detected in strains homozygous for WT human GALE [11]. This suggests that the G90E allele is recessive to the wild-type one, possibly due to a combination of largely impaired catalytic function, conformational instability and altered local conformational dynamics. Our proteolysis analyses provide an insight into the mutational and ligand effects on GALE protein dynamics. p.N34S and p.G90E locally alter flexibility or dynamics in the N-terminal domain most likely due to repulsive/destabilizing interactions with the loop 34-45. In the crystal structure of human GALE (PDB:1EK6), Asn-34 lies adjacent to the adenine moiety of NAD+ [25]. Asn-34 is predicted to hydrogen bond with NAD+ and is close in sequence to other residues (i.e. Asp33 and Asn37) which interact with the cofactor [19, 25] which may explain the 4-fold decreased affinity for NAD+ (Table 1). In general, serine residues tend increase the local backbone flexibility of the polypeptide chain and it would be expected that increased flexibility in this region would also weaken these protein-cofactor interactions [32]. G90 is located close to N34 (<1.5 Å) in the structure of human GALE and adjacent to the phosphate groups in NAD+ [25]. All together, these structural analyses 22 may explain the very low affinity of p.G90E for NAD+ (indeed, no binding signal was detected by ITC; Figure 2A and B). The replacement of glycine by the much larger glutamate side chain will require considerable rearrangement and, probably, destabilisation and distortion of the local structure, especially of the sequence connecting -sheet 4 and helix-4 where G90 is located. This may be exacerbated by repulsive interactions between the negatively charged side chain and the phosphate moieties in NAD+. Thus, both p.N34S and p.G90E are predicted to result in local changes to the structure and flexibility of the protein. This may also explain why these two mutations cause accumulation of the partially cleaved state I (lacking the Nterminal 38 residues) due to selective destabilization of the native state, probably because the effects of these two mutations are weakened or eliminated when the Nterminal 38 residues are removed (Figure 6A, D and G). NAD+ and UDP-glucose binding increase the resistance of the native state towards proteolysis and this effect is mutant-selective, corresponding fairly well with the affinity of their native state for these ligands (Tables 1 and 3), which also supports the proposition that binding of a ligand (UDP-glucose) far from the cleavage site have long-range effects that propagate between domains in the native state. Interestingly, the two ligands affect differently the accumulation of the partially cleaved state (Figure 6), which can be reasonably explained based on the structure of GALE in the presence of substrate and cofactor [25]. The cofactor binds to the N-terminal domain and establishes hydrogen bonds with residues close to the 34-45 loop (such as Asp33 and Asn37 and Lys161). However, upon proteolytic attack on this primary site, most of these favourable interactions are removed, thus leading to the release of the bound cofactor or substantially decreased binding affinity for it, but not affecting the stability of the cleavage intermediate I state. Accordingly, cleavage of the loop 34-45 might not greatly 23 affect binding of UDP-glucose which binds to the C-terminal domain, and thus, resulting in the stabilizing effects of UDP-glucose on the cleavage kinetics of the intermediate and its accumulation along the proteolysis reaction (Figure 6C, F and I). To our knowledge, we provide the first evidence for long-range communication between domains in GALE structure (upon mutation and ligand binding), which allow further understanding on the conformational consequences of disease-associated variants and might be therapeutically exploited to correct mutation-induced destabilization in type III galactosemia. We must note that GALE enzymes as purified seem to have partially occupied binding sites for NAD+ and UDP-glucose (this work and [12]), especially for WT, p.V94M and p.K161N enzymes (Table 1). Attempts to remove by different procedure were unsuccessful, probably due to a shift in the dimer-monomer equilibrium towards monomers causing GALE destabilization and aggregation (see Supplementary Information and Table S1). The presence of pre-bound ligands will influence thermal stability and proteolysis results beyond the effects of mutations. However, we provide experimental (Figure S3) and theoretical (Figure 8) evidence strongly supporting a minor role of pre-bound ligands in the mutational and NAD+ and UDP-glucose effects described here. This is a logical consequence of the kinetic control of thermal denaturation and proteolysis and the comparatively low affinity for the ligands (see [22, 26, 33]). In conclusion, the differences observed in stability for GALE variants must reflect to a large extent true effects of the disease-causing mutations. Taken together, our data strongly support the conclusion that the sequence alteration results in destabilization and altered conformational dynamics of GALE dimer at physiological conditions (temperature and pH) which are linked to loss of enzyme function in type III galactosemia. We also demonstrate that ligand and cofactor 24 binding trigger large changes in global dimer stability and local conformational dynamics. We hypothesise that these changes might modulate GALE intracellular protein turnover and functionality, as shown for other conformational diseases [17, 3436]. These results further support the previous proposal for the use of ligands, such as cofactor analogues or pharmacological chaperones, as potential approaches to treat type III galactosemia [19]. Critically, our finding that the natural ligands can stabilise different states of the protein supports the idea that pharmacological ligands which reduce the rate of the N→I transition are likely to be effective in rescuing GALE activity. Furthermore, the approaches taken here suggest methods by which such compounds could be identified through high-throughput screening. After initial identification of protein binders, these hits could be used in a limited proteolysis assay similar to that used in this work in order to identify the subset that reduces the rate constant of the first transition. Acknowledgements.- We thank Dr. Jose Manuel Sanchez-Ruiz for support. This work was supported by grants from MINECO (BIO2012-34937 and CSD2009-00088), Junta de Andalucia (P11-CTS-07187), The Royal Society (2004/R1) and FEDER Funds. A.L.P. is supported by a Ramón y Cajal research contract from MINECO (RyC-2009-04147). N.M-T. is supported by a FPI predoctoral fellowship from MINECO. Abbreviations: GALE: UDP-galactose 4´-epimerase; UDP-glc: UDP-glucose; HPLC/ESI-MS: high performance liquid chromatography/electrospray ionization mass spectrometry; MD: molecular dynamics; CD.- circular dichroism; DSC.- differential scanning calorimetry. 25 26 References [1] H.M. Holden, I. Rayment, J.B. Thoden, J Biol Chem 278 (2003) 43885-43888. [2] D.J. Timson, IUBMB Life 58 (2006) 83-89. [3] J.L. Fridovich-Keil, J.H. Walter, in: D. Valle, A. Beaudet, B. Vogelstein, K.W. Kinzler, S.E. Antonarakis, A. 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Sanchez-Ruiz, J Mol Biol 360 (2006) 715-724. [24] J.M. Sanchez-Ruiz, J.L. Lopez-Lacomba, P.L. Mateo, M. Vilanova, M.A. Serra, F.X. Aviles, Eur J Biochem 176 (1988) 225-230. [25] J.B. Thoden, T.M. Wohlers, J.L. Fridovich-Keil, H.M. Holden, Biochemistry 39 (2000) 5691-5701. [26] J.M. Sanchez-Ruiz, Biophys J 61 (1992) 921-935. [27] A.D. Robertson, K.P. Murphy, Chem Rev 97 (1997) 1251-1268. [28] A.L. Pey, Biochim Biophys Acta 1834 (2013) 2502-2511. 27 [29] C. Park, S. Marqusee, J Mol Biol 343 (2004) 1467-1476. [30] T.M. Wohlers, J.L. Fridovich-Keil, J Inherit Metab Dis 23 (2000) 713-729. [31] P. Maceratesi, N. Daude, B. Dallapiccola, G. Novelli, R. Allen, Y. Okano, J. Reichardt, Mol Genet Metab 63 (1998) 26-30. [32] J.L. Goodman, M.D. Pagel, M.J. Stone, J Mol Biol 295 (2000) 963-978. [33] F. Conejero-Lara, P.L. Mateo, F.X. Aviles, J.M. Sanchez-Ruiz, Biochemistry 30 (1991) 2067-2072. [34] A. Martinez, A.C. Calvo, K. Teigen, A.L. Pey, Prog Mol Biol Transl Sci 83 (2008) 89-134. [35] J.V. Rodrigues, B.J. Henriques, T.G. Lucas, C.M. Gomes, Curr Top Med Chem 12 (2012) 2546-2559. [36] S. Santos-Sierra, J. Kirchmair, A.M. Perna, D. Reiss, K. Kemter, W. Roschinger, H. Glossmann, S.W. Gersting, A.C. Muntau, G. Wolber, F.B. Lagler, Hum Mol Genet 21 (2012) 1877-1887. [37] A. Shrake, J.A. Rupley, J Mol Biol 79 (1973) 351-371. [38] C. Chothia, J Mol Biol 105 (1976) 1-12. [39] Collaborative Computational project number 4, Acta Crystallogr D Biol Crystallogr 50 (1994) 760-763. 28 Table 1. Binding properties of NAD+ and UDP-glucose to GALE enzymes determined by ITC. Data are best-fit values and their corresponding fitting errors. NAD+ GALE enzyme n UDP-glucose Kd H (M) (kcal/mol) n Kd H (M) (kcal/mol) WT 0.230.01 1.00.1 -9.60.4 0.200.05 7.91.1 -17.45.2 p.N34S 0.780.01 3.80.2 -11.70.3 0.660.02 3.90.4 -21.00.9 0.830.03 9.30.6 -14.90.7 Not detected p.G90E p.V94M 0.360.01 0.350.01 -11.60.1 0.440.08 10.31.6 -8.91.9 p.K161N 0.420.03 121 -10.91.0 0.490.01 0.750.06 -22.30.3 29 Table 2. Apparent Tm values and denaturation enthalpies (H) for thermal denaturation of GALE enzymes. Experiments performed at 3oC·min-1 and 10 M protein in monomer. Parameters are obtained from fittings to a two-state irreversible model and errors are those from fittings. GALE Parameter enzyme Tm1 (°C) H1 (kcal·mol-1) WT 44.10.1 883 p.N34S 39.60.1 451 49.60.1 422 p.G90E 38.80.1 501 52.00.1 301 p.V94M 42.30.1 542 49.10.1 456 p.K161N 37.00.1 681 55.80.1 291 Tm2 (°C) H2 (kcal·mol-1) Not applicable 30 Table 3. Half-lives for proteolysis of native GALE enzymes in the absence or presence of ligands (1 mM). The concentration of GALE enzymes and thermolysin was 20 M and 1 M, respectively. Experiments were performed at 25 ºC. GALE enzyme Half-life (min) No ligand NAD+ UDP-glucose WT 595 947 11411 p.N34S 3.90.3 726 515 p.G90E 4.00.2 7.30.3 211 p.V94M 264 13917 537 p.K161N 8.02.0 334 796 31 Figure 1. Mutational effects on GALE conformation. A) Location of the altered residues in the crystal structure of GALE (PDB code: 1EK6; [25]) indicated as red sticks. UDP-glucose is shown in black and NADH in magenta. GALE monomers are displayed in different colors (green and cyan). B) UV-visible absorption spectra (lower panel; inset show a magnified view of the absorption spectra between 300 and 400 nm) and intrinsic fluorescence spectra (upper panel, excitation at 280 nm; inset: excitation at 295 nm) at 4 M protein in GALE monomer; C) Far-UV CD spectra at 4 M; D) Near-UV CD at 20 M; E) DLS at 20 M. 32 Figure 2. Ligand binding to GALE enzymes by ITC. Thermograms and binding isotherms for the binding of NAD+ (panel A and B) and UDP-glucose (panel C and D) to GALE enzymes. Symbols in panels B and D are as follows: WT (circles), p.N34S (up-triangles), p.G90E (down-triangles), p.V94M (squares), p.K161N (diamonds). 33 Figure 3. Thermal denaturation of GALE enzymes by differential scanning calorimetry (DSC). A) Denaturation profiles of WT and variant GALE enzymes at 3 ºC·min-1 and 10 M protein (monomer equivalent). B and E) Reversibility tests on WT (B) and p.N34S (E) GALE. Protein samples (10 M protein monomer equivalent) were heated up to 57 ºC or 47-48 ºC, cooled down to 2 ºC and rescanned. A scan rate of 3 ºC/min was used. C and F) scan rate dependence of thermal denaturation of WT (C) and p.N34S (F) GALE (10 M protein monomer equivalent); Scan rates were 3 °C min-1 (closed circles), 2 °C ·min-1 (open down triangles) or 1 °C·min-1 (closed squares); D and G) protein concentration dependence of thermal denaturation of WT (D) and p.N34S (G) GALE (3 ºC/min scan rate). Protein concentrations were 20 M (closed circles), 10 M (open down triangles) and 5 M (closed squares). 34 35 Figure 4. Effect of ligands (NAD+ or UDP-glucose, 1 mM) on the thermal denaturation of GALE variants by DSC. Protein concentration was 10 M, and experiments were performed in 20 mM HEPES-OH, 200 mM NaCl pH 7.4 at a scan rate of 3 ºC·min-1. 36 Figure 5. Kinetics of proteolysis of GALE enzymes by thermolysin. A) Representative SDS-PAGE gels for WT (upper panel) and p.G90E (lower panel). B-G) Kinetics of proteolysis of GALE enzymes in the absence (closed circles) or presence of 1 mM ligands (NAD+, open circles; UDP-glucose, closed down-triangles). GALE enzymes were at 20 M and thermolysin at 1 M (panels C-G) or 0.2 M (panel B). Experiments were performed at 25 ºC. Lines in panels B-G are fits to a single exponential function. 37 38 Figure 6. Time dependent population of the full-length GALE (closed circles), the 35 kDa band (open circles) and sum of them (open stars) from SDS-PAGE analyses. The horizontal dashed line shows the fraction that corresponds to the contribution of thermolysin to the 35 kDa. Fractions were determined by normalization using the band intensity of full-length GALE without thermolysin (t=0 min). 39 Figure 7. Conformation of the primary cleavage site of GALE enzymes by thermolysin (loop 34-45). A) Structure of GALE dimer (PDB code: 1EK6) highlighting the solvent exposed loop 34-45 and the primary cleavage site between Ala38 and Phe39 (in black); B) Side-chain accessibility of the loop 34-45 and adjacent residues calculated using the Shrake-Rupley algorithm [37] with a radius of 1.4 Å for the solvent probe and the Chothia set for the protein atoms [38]. The asterisks indicate glycine (no side-chain, i.e. 0% accessibility). C) Average-B factors calculated from the GALE crystal structure (PDB code: 1EK6) using the program Baverage from CCP4 Suite [39]. 40 Figure 8. Kinetic modeling of GALE stability in the absence or presence of bound ligands. A) Dependence of the concentration of unligated (GALE) and ligated-GALE (GALE-L) on total ligand concentration; B) Dependence of the initial rate for irreversible denaturation/proteolysis as a function of total ligand concentration using a rate constant kE=10 min-1and different values of kE-L (from 1 to 0.01 min-1). The symbols indicate the initial rates considering saturation fractions of 0.8 (WT), 0.5 (p.V94M and p.K161N) and 0.2 (p.N34S and p.G90E) derived from pre-bound ligand values estimated from ITC titrations; C) Dependence of kinetic stabilization (rate with ligand/rate without ligand) on total ligand concentration using a rate constant kE=10 min-1 and different values of kE-L (from 1 to 0.01 min-1). All calculation are performed using 10 M GALE monomer and Kd of 1 M (similar to NAD+). 41