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One Scaffold, Two Conformations: The Ring-Flip of the Messenger InsP8 Occurs under Cytosolic Conditions

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28 February 2023

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03 March 2023

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Abstract
Inositol poly- and pyrophosphates (InsPs and PP-InsPs) are central eukaryotic messengers. These very highly phosphorylated molecules can exist in two distinct conformations, a canonical one with five phosphoryl groups in equatorial positions, and a “flipped” axial conformation. Using 13C-labeled InsPs / PP-InsPs, the behavior of these molecules was investigated by 2D-NMR under solution conditions reminiscent of a cytosolic environment. Remarkably, the most highly phosphorylated messenger InsP8 readily adopts both conformations at physiological conditions. Environmental factors - such as pH, metal cation composition, and temperature - strongly influence the conformational equilibrium. Thermodynamic data revealed that the transition of InsP8 from the equatorial to the axial conformation is, in fact, an exothermic process. The speciation of InsPs and PP-InsPs also affects their interaction with protein binding partners; addition of Mg2+ decreased the binding constant Kd of InsP8 to an SPX protein domain. The results illustrate that PP-InsP speciation reacts very sensitively to solution conditions, suggesting it might act as an environment-dependent molecular switch.
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Subject: Chemistry and Materials Science  -   Theoretical Chemistry

1. Introduction

Myo-inositol polyphosphates (InsPs) are a family of messenger molecules that control a wide array of biological processes in eukaryotic cells (Figure 1a). In these molecules, the phosphoryl groups are arranged in different numbers and patterns around the inositol scaffold, creating great structural variety that ranges from species with only one phosphoryl group up to the inositol pyrophosphates (PP-InsPs), which carry seven or eight phosphates [1]. The PP-InsPs contain one or two high-energy diphosphate groups in addition to monophosphoryl groups, thereby accommodating an extraordinary negative charge density.
The most highly phosphorylated canonical PP-InsP in mammals is 1,5(PP)2-InsP4, (from here on abbreviated as InsP8), which is generated via the phosphorylation of 5PP-InsP5 (also called InsP7 or 5-IP7) by PPIP5Ks (diphosphoinositol-pentakisphosphate kinases) or phosphorylation of 1PP-InsP5 by IP6Ks (inositol hexakisphosphate kinases). In recent years, InsP8 has emerged as a sensor and regulator of inorganic phosphate in various organisms. The enzymatic activity of PPIP5Ks is directly regulated by phosphate concentrations, and cellular levels of InsP8 correlate with phosphate availability [2]. In fission yeast S.pombe, InsP8 activates the vacuolar VTC complex by binding to an SPX domain, driving polyphosphate synthesis to store excess phosphate [3]. In plants, it was demonstrated that the activity of the InsP8-producing enzymes VIH1/2 negatively regulates phosphate starvation responses [4]. Mechanistically, InsP8 binds to a standalone SPX domain (SPX1) in arabidopsis thaliana, which enables dimerization with the transcription factor PHR1 and suppresses downstream targets [5]. In cultured human cell lines, InsP8 was found to activate phosphate efflux by binding to the SPX domain of XPR1, removing excess phosphate and preventing tissue calcifications [6,7,8]. Moreover, at an organismal level, mutations in PPIP5Ks are associated with hearing loss [9,10].
The function of 5PP-InsP5, has been investigated more closely, especially its role in cellular energy signaling, where its concentration reacts to ATP levels and regulates glycolytic flux accordingly [11,12]. Notably, 5PP-InsP5 stimulates exocytosis of insulin-containing granules from pancreatic β-cells, ostensibly by competing with the plasma membrane lipid phosphatidylinositol-4,5-bisphosphate (PIP2) for binding of synaptotagmin 7 [13,14]. 5PP-InsP5 also inhibits the activity of Akt kinase, a central metabolic regulator, by binding to the PH domain of Akt, releasing it from the plasma membrane, preventing its activation [15,16,17]. As a result, IP6K1 knockout mice display abnormally high Akt activity and are resistant to weight-gain when fed a high-fat diets [15]. IP6K1 knockout in mice also increases the activity of AMPK, inhibiting fat accumulation in favor of thermogenesis, and further supporting the lean phenotype [18].
In many cases it is difficult to attribute an observed phenotype to an individual messenger, because genetic deletion of IP6Ks inevitably reduces the levels of both 5PP-InsP5 and InsP8 [19]. Even when biochemical insight into the mechanisms of action is available, it sometimes cannot explain why PP-InsPs possess distinct biological functions in spite of their very similar structure and similarly high charge density. For example, phosphate efflux via XPR1 is activated almost exclusively by InsP8, even though InsP6 and 5PP-InsP5 bind with relatively similar dissociation constants (Kd) to the SPX domain [6]. Binding affinities are also similar for InsP8 or 5PP-InsP5 towards the SPX1 protein in rice, but genetic perturbation experiments showed that only InsP8 is the physiologically relevant ligand [5]. Similarly, in in vitro experiments, InsP8 is 20-fold more effective than 5PP-InsP5 at activating polyphosphate synthesis by the VTC complex from budding yeast S.cerevisiae, despite a charge difference of only one. It was also more effective than other InsP8 isomers [20], suggesting that affinity is determined by the exact shape of the molecule, rather than sheer charge density. Due to its higher concentrations, 5PP-InsP5 is currently assumed to be the relevant ligand. In another example from fission yeast S.pombe, polyphosphate synthesis by the VTC complex clearly depended on InsP8 by the PPIP5K orthologue Asp1 [3]. Possible explanations how substrate specificity of PP-InsP-binding proteins may be regulated include ternary interactions with more than one binding partner, local enrichment of individual PP-InsPs and localized differences in solution conditions, which change protonation and metal complexation.
A property unique to highly phosphorylated InsPs is their ability to adopt an alternate 1-axial / 5-equatorial conformation conformation at elevated pH, where the substituent at the 2-position is equatorial, and all others are axial, which separates phosphoryl groups further in space and reduces charge repulsion between them (Figure 1b,c) [21,22,23]. The PP-InsPs and their non-hydrolyzable methylene bisphosphonate analogs (PCP-InsPs, Figure 1b) also display this behavior, and appear to have a higher propensity to adopt an axial conformation relative to the InsPs, especially in the presence of magnesium cations [23].
Figure 1. a) Structure of InsP6, 5PP-InsP5, InsP8 and approximate concentrations in mammalian cells. [24,25,26,27] b) pH-dependent equilibrium between axial (ax.) and equatorial (eq.) conformation of the non-hydrolyzable 5PP-InsP5 analogue 5PCP-InsP5 [23] c) Electrostatic potential mapped on an isodensity surface for fully deprotonated, axial 5PCP-InsP5 (L13-) and monoprotonated, equatorial 5PCP-InsP5 (HL12-) (B3LYP/3-21+G* geometries; isodensity value = 0.004, scale: -1.3 V (red) to -1.0 V (blue)). Atom color code: C (grey), H (white), O (red), P (orange).
Figure 1. a) Structure of InsP6, 5PP-InsP5, InsP8 and approximate concentrations in mammalian cells. [24,25,26,27] b) pH-dependent equilibrium between axial (ax.) and equatorial (eq.) conformation of the non-hydrolyzable 5PP-InsP5 analogue 5PCP-InsP5 [23] c) Electrostatic potential mapped on an isodensity surface for fully deprotonated, axial 5PCP-InsP5 (L13-) and monoprotonated, equatorial 5PCP-InsP5 (HL12-) (B3LYP/3-21+G* geometries; isodensity value = 0.004, scale: -1.3 V (red) to -1.0 V (blue)). Atom color code: C (grey), H (white), O (red), P (orange).
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PP-InsPs can potentially form a wide range of different species, depending on their conformation, protonation state and complexation of metal cations, each of which can be expected to interact in a different way with other biomolecules. We therefore wanted to obtain a more detailed understanding of PP-InsP speciation, specifically under conditions approximating a cytosolic setting. NMR spectroscopy is the method of choice for characterizing these equilibria due to the structural information it provides, but the lack of sensitivity has limited past investigations to experiments using non-physiological concentrations of InsPs and PP-InsPs (> 100 µM) [23].
Here, we have conducted a systematic comparison of InsP6, 5PP-InsP5 and InsP8 using NMR spectroscopy of 13C-labeled InsP messengers, to better understand the intricacies of their speciation. Intriguingly, we found that InsP8 is able to adopt axial conformation under conditions very reminiscent of a cytosolic environment. We then used 31P-NMR to identify likely protonation states and K+- and mononuclear Mg2+-complexes of InsP8 across the pH range. Finally, ITC experiments revealed that addition of Mg2+, favoring axial conformation, influenced the binding parameters of the interaction between InsP8 and an SPX protein domain. Our results imply that conditions for biochemical and biophysical characterization of PP-InsP protein interactions should always be chosen with great care, and highlight InsP8 as a potential pH-, metal ion-, and temperature-dependent intracellular molecular switch.

2. Materials and Methods

Synthesis and BIRD-HMQC NMR analysis of InsPs

13C-labeled InsPs and PP-InsPs were synthesized chemo-enzymatically, as previously published, with slight adjustments [25,28]. Enzymatic synthesis of InsP8 was carried out at pH 6.0 instead of 6.4, and in the presence of additional 150 mM (NH4)2SO4.
Samples for HMQC-NMR studies contained 50 µM 13C6-labeled InsPs (InsP6 / 5PP-InsP5 / InsP8), 2 mM bis-tris-propane, 130 mM KCl, 10 mM NaCl and 0 / 50 / 250 µM MgCl2 in D2O.
BIRD-HMQC NMR spectra were recorded at 277 K and 600 MHz (1H frequency) on a Bruker AV-III NMR spectrometer (Bruker Biospin, Rheinstetten, Germany) using cryogenically cooled 5 mm QCI-triple resonance probe equipped with one-axis self-shielded gradients. The spectrometer was operated using topspin 3.5 pl6 software. Instrument temperature was calibrated against d4-methanol according to Findeisen et al. [29]. Acquisition parameters were SW(13C): 60-90 ppm, NS: 128, TD(13C): 64

Assignment of HMQC-NMR spectra of axial conformations using NOESY-HMQC NMR

BIRD-HMQC spectra were recorded at 277 K as described above, with samples containing 200 µM InsPs, 130 mM KCl, 10 mM NaCl, 2mM BTP in D2O. pH was set to pH* 9.5 for InsP6, pH* 8.8 for 5PP-InsP5 and pH* 8.5 for InsP8 (pH = 0.929•pH*+0.42 [30]). NOESY-HMQC spectra of the same samples were subsequently recorded using mixing times of 80 ms for InsP6 and 5PP-InsP5, and 200 ms for InsP8. Conformational exchange on the time-scale of the experiment created cross-peaks between corresponding peaks in different conformations, which allowed us to assign each peak of the equatorial conformer to its axial counterpart.

Van’t Hoff thermodynamic analysis of conformational equilibrium:

BIRD-HMQC NMR spectra were recorded as described above, at 274 – 283 K in 1 K steps, two replicate samples per condition. Instrument temperature was calibrated against d4-methanol according to Findeisen et al. [29].
Samples contained 50 µM InsP8, 5 mM HEPES pH* 7.5 (pH set on ice), 130 mM KCl, 10 mM NaCl, and either 100 µM or 250 µM MgCl2. Acquisition parameters were SW(13C): 62-82 ppm, NS: 2048, TD(13C): 16
The best-isolated peaks (the 2-peak of ax. and 1-peak of eq. conformer) were integrated, subtracting 1PP-InsP5 impurities. The ax./eq. ratio (i.e. equilibrium constant K for the eq. to ax. transition) was plotted against 1/T, where T is temperature in Kelvin.
ΔH0 and ΔS0 were calculated from the regression line. Two replicates were treated as one for the linear regression.

NMR titrations

In order to create a system free of coordinating counterions, a batch of InsP8 was synthesized as described above, by enzymatic phosphorylation of 5PP-InsP5 and precipitation with Mg2+, followed by Mg2+ chelation on Amberlite® cation exchange resin. Unlike in the standard procedure, the resin was loaded with NMe4Cl instead of NH4CO3, resulting in a batch of InsP8 with non-coordinating NMe4+ counterions. 1 mM EDTA was added to all 31P-NMR titrations to chelate remaining traces of Mg2+.
NMR-samples contained 1 mM InsP8, 1 mM EDTA, pH 3.0 – 12.5 (in H2O, steps of 0.5 pH units) and a) for the non-coordinating condition: 150 mM NMe4Cl or b) 150 mM KCl or c) 150 mM KCl and 1 mM MgCl2. Sealed glass capillaries containing 50 mM phosphonoacetic acid in D2O were added into the sample tubes for locking and chemical shift calibration.
31P-NMR spectra were recorded at 295 K on a Bruker spectrometer (see above) operating at 600 MHz for protons and 244 MHz for phosphorous nuclei. SW: -40-20 ppm, NS: 1024.
Spectra at pH 3.0 were assigned by various 2D-NMR methods (Figure S5) and chemical shift changes were tracked across the pH range. The data were analyzed using the HypNMR 2006 software [31]. Different possible stoichiometries were tested, and the final chemical models were selected on the basis of the σ parameter (scaled sum of square differences between predicted and experimental chemical shift values), the model confidence level estimator (chi square), and the internal consistency of data reflected in standard deviations of the formation constants [32]. Species distribution diagrams were produced using the HySS program [33].

Isothermal titration calorimetry

The VTC2 SPX domain (residues 1-182) was expressed with a C-terminal His6-tag and purified by Ni-affinity and size-exclusion chromatography, as previously published [34].
Protein stocks were diluted to 300 µl with final buffer conditions: 25 mM HEPES pH 7.4, 150 mM KCl, 40 mM NaCl, 0.5 mM TCEP (ITC buffer). The exact protein concentration for each replicate was determined separately by Bradford assay. InsP8 was diluted to 500 µM in ITC buffer. For binding experiments in the presence of magnesium ions, both dilution buffers were supplemented with MgCl2 to give a final concentration of 1 mM after dilution.
ITC experiments were carried out at 25°C in a MicroCal PEAQ-ITC calorimeter (Malvern Panalytical GmbH, Germany), with ca. 50 µM protein in the cell and 500 µM ligand in the syringe. InsP8 was titrated into the solution in nineteen 2 µl-steps. Spacing between injections was 150 s.
The corresponding instrument software (MicroCal PEAQ-ITC Analysis) was used for baseline correction, peak integration, data fitting and determination of binding parameters.

DFT calculations

The input geometries were built employing the protonation and complexation patterns determined by 31P NMR in this report. Three water molecules were included in the first coordination sphere of the Mg2+ cation. The initial geometries were pre-optimized by means of a molecular mechanic method (MM+), in order to explore the potential energy surface. Then, a Density Functional Theory (DFT) optimization protocol was performed in Gaussian 09 [35], using the B3LYP functional, with an ultrafine integration grid and the 3-21+G* split valence basis set. The potassium ions were treated using the effective core potential LANL2DZ relativistic procedure [36]. The solvent was modelled through the Truhlar and coworkers’ SMD solvation model [37]. All final structures were minima in the potential energy surface, being the nature of the stationary points verified through vibrational analysis.

3. Results

3.1. 1H,13C-HMQC NMR spectra of PP-InsPs show two distinct conformations simultaneously

The recent development of enzymatic syntheses for inositol pyrophosphates provides access to large quantities of 13C-labeled PP-InsPs, at the scale of hundreds of micromoles [25,28]. The uniformly labeled PP-InsPs can readily be detected at concentrations below 50 µM in 1H,13C-HMQC experiments, which motivated us to systematically investigate InsP6 / PP-InsP speciation and conformation under different conditions, near physiological concentrations.
A 1H,13C-HMQC NMR spectrum of InsP6 (50 µM, no coordinating counter ions present) at pH* 6.5 (pH* = apparent pH in D2O [30]) displayed four peaks due to the molecule’s symmetry axis, and was assigned to correspond to the equatorial conformation of InsP6 (five phosphoryl groups in equatorial position, position 2 in axial position). An equivalent sample at pH* 12 displayed a different set of four peaks, shifted upfield in the carbon dimension, which corresponds to the axial conformation of InsP6 (five phosphoryl groups in axial, P2 in equatorial) [38,39].
Unfortunately, when recording spectra at 37°C, we noticed NMR-peak broadening, making detection of InsP6 conformers impossible in a certain pH-range. This intermediate exchange effect had been observed before and impedes direct observation of InsPs/PP-InsPs by proton-based NMR methods near the conformational transition [22,23]. We therefore attempted to slow down exchange rates by cooling the sample and recording spectra at 4°C. An HMQC-spectrum at 4°C and pH* 9 displayed signals of both the axial and the equatorial conformer simultaneously (Figure 2a).
Concurrent observation of both conformations was also possible for the inositol pyrophosphates 5PP-InsP5 and InsP8 at 4°C (Figure 2b,c). All HMQC-NMR peaks of IP6 and the PP-InsPs in the axial conformation were assigned using a NOESY-HMQC-NMR method, which creates cross-peaks between corresponding peaks of the two conformations (Figure S1). These assignments allowed us to use integration to quantify the relative proportions of the two conformers.

3.2. Conformational equilibria of InsP6 and PP-InsPs are sensitive to pH and ionic composition

With the ability to detect and quantify both conformations over a wide pH range, at low InsP / PP-InsP concentrations, we sought to systematically compare the behavior of InsP6, 5PP-InsP5 and InsP8 and characterize the influence of pH and biologically relevant metal ions on their conformation [25,28]. We decided to maintain physiological concentrations of K+ and Na+ ions, while varying pH and concentration of the divalent cations Mg2+ and Ca2+.
Since inositol polyphosphates are prone to precipitation in the presence of divalent metal ions, especially at basic pH, we wanted to ensure that this phenomenon did not perturb our analysis. In the presence of 5 equiv. Mg2+, all three molecules showed notable precipitation within 24 h at pH* 9, but not at pH* 8 and lower (Figure S2).
Without divalent cations present, InsP6 remained in its equatorial conformation over most of the observed pH-range (6.5 - 9.5). Only when pH* was increased to 9.0, traces of the axial conformer began to appear, and even at pH* 9.5, less than half of InsP6 was in the axial conformation (Figure 3a). The proportion of the axial conformer was increased by addition of Mg2+ cations. Addition of one equivalent was enough to shift the equilibrium to about 30% axial conformer at pH 9.0* and 90% axial conformer at pH* 9.5. Addition of five equivalents of Mg2+ facilitated the transition to the axial conformer even more (Figure 3a).
These observations are consistent with previous reports that an elevation of pH and addition of metal cations can increase the proportion of the axial conformer [22,23,40]. For 5PP-InsP5, without divalent cations present, about 10% axial conformer were already detected at pH* 8.5, and at pH* 9.5 5PP-InsP5 was only detected in the axial conformation (Figure 3b). Like InsP6, the proportion of 5PP-InsP5 in the axial conformation was increased upon addition of Mg2+ ions. In the presence of five equivalents Mg2+, 5PP-InsP5 adopted exclusively the axial conformation at pH* 8.5 and higher (Figure 3b).
The trend that the transition to the axial conformation was facilitated by increasing the degree of phosphorylation continued for InsP8. Even without divalent cations present, about half of the molecules adopted the axial conformation at pH* 8.5 (Figure 3c). The addition of Mg2+ ions again further shifted the conformational equilibrium towards the axial conformation. With one equivalent of Mg2+, about 10% of InsP8 were in the axial conformation at pH* 7.5 (= pH 7.4). Very similar results were observed when adding CaCl2 (Figure S3). Upon addition of five equivalents of Mg2+, InsP8 was almost equally distributed between its axial and equatorial forms. This last result is particularly interesting, because it suggests that a substantial portion of InsP8 can adopt the axial conformation under cytosolic / nuclear conditions.
In sum, the characterization of InsP6 and PP-InsPs using 1H,13C-HMQC NMR was consistent with previous observations: The proportion of axial conformer rises with increasing pH and elevated concentrations of divalent cations. Moreover, the more densely phosphorylated the InsP/PP-InsP, the lower the pH at which the molecule begins to transition to the axial conformation. Each successive phosphorylation decreases the pH value for the transition by roughly 0.5 pH-units. Intriguingly, InsP8 seems to undergo the conformational change at physiological pH and ionic composition, which prompted us to investigate this messenger molecule in more detail.
Figure 3. Relative abundance of a) InsP6, b) 5PP-InsP5 and c) InsP8 in axial conformation at different pH and 50 µM total InsP concentration in the presence of 0 / 1 / 5 equivalents MgCl2 and physiological background of 130 mM KCl and 10 mM NaCl. 1H,13C-HMQC-NMR spectra were measured at 4°C and integrated to obtain the ratio of eq. to ax. conformation. The proportion of ax. InsPs increases with pH, Mg2+ concentration and phosphorylation state (InsP6 < 5PP-InsP5 < InsP8). Intriguingly, about half of InsP8 molecules are in ax. conformation at physiological pH in the presence of five equivalents MgCl2 (bar marked with *). To enable NMR detection, all samples were made up in D2O. pH*-values measured in D2O can be converted to pH using the following formula: pH = 0.929•pH*+0.42 [30]. Peaks of both conformations were integrated to obtain the relative abundance of axial vs. equatorial conformer.
Figure 3. Relative abundance of a) InsP6, b) 5PP-InsP5 and c) InsP8 in axial conformation at different pH and 50 µM total InsP concentration in the presence of 0 / 1 / 5 equivalents MgCl2 and physiological background of 130 mM KCl and 10 mM NaCl. 1H,13C-HMQC-NMR spectra were measured at 4°C and integrated to obtain the ratio of eq. to ax. conformation. The proportion of ax. InsPs increases with pH, Mg2+ concentration and phosphorylation state (InsP6 < 5PP-InsP5 < InsP8). Intriguingly, about half of InsP8 molecules are in ax. conformation at physiological pH in the presence of five equivalents MgCl2 (bar marked with *). To enable NMR detection, all samples were made up in D2O. pH*-values measured in D2O can be converted to pH using the following formula: pH = 0.929•pH*+0.42 [30]. Peaks of both conformations were integrated to obtain the relative abundance of axial vs. equatorial conformer.
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3.3. InsP8 is present in both conformations under near-physiological conditions

To gain a deeper understanding of the forces governing the InsP8 conformational equilibrium under near-physiological conditions, we wanted to evaluate what proportion of axial conformer might be present at 37°C, by determining the thermodynamic parameters of the conformational equilibrium. To do so, we recorded HMQC-NMR spectra (50 µM InsP8, pH*7.5, 130 mM KCl, 10 mM NaCl, 100 µM / 250 µM MgCl2) over a temperature range of 10 K and measured the amounts of the two conformers via integration. It was not possible to use a wider temperature range, due to the peak broadening described above and the necessity to detect both conformations. The values for ΔH0 and ΔS0 were extracted from slope and intercept of the van’t Hoff plots (Figure 4c/d). To assess the influence of Mg2+ ions, we measured two replicates with 2 equiv. and two replicates with 5 equiv. Mg2+, keeping all other parameters constant. To avoid precipitation, the Mg2+ concentration could not be increased any further, although the excess of Mg2+ ions is much higher in cells. Similarly, InsP8 could not be decreased to physiological concentrations of < 1 µM without compromising the NMR detection.
In the presence of two equivalents of Mg2+, the equilibrium seems to be governed by a balance of enthalpic gains and entropic losses upon transition to the axial conformation (Figure 4b)), with ΔH0 = -17.1 ± 2.1 kcal/mol and ΔS0 = -0.063 ± 0.008 kcal/mol K. Somewhat unexpectedly, the equatorial to axial transition of InsP8 is an exothermic process and the axial conformer is enthalpically more favorable. Using these thermodynamic values in the Gibbs-Helmholtz equation, we can estimate that at 37 °C, about 2% of InsP8 would adopt an axial conformation under these solution conditions.
With five equivalents Mg2+ present, the equatorial to axial transition was again an exothermic process, with ΔH0 = -7.2 ± 1.9 kcal/mol and ΔS0 = -0.025 ± 0.007 kcal/mol K. These values predict 29% axial conformer at 37°C (310 K). Compared to the experiment with 2 equiv. MgCl2, both ΔH0 and ΔS0 were reduced in magnitude by more than half. The relative change of ΔS0 was larger, resulting in a net shift toward the axial conformation (Figure 4a,b).
In sum, our results suggest that substantial amounts of axial InsP8 could be formed under cytosolic conditions, and the conformational equilibrium is determined by entropic effects.

3.3. InsP8 forms strong complexes with potassium and magnesium ions

Given the unexpected thermodynamic parameters for the conformational equilibrium, we next wanted to characterize the protonation sequence and metal complexation, of InsP8 in solution. We utilized 31P NMR for detection, because 31P-NMR chemical shifts are very sensitive to both protonation and metal complexation, shifting upfield with each protonation step, and downfield upon metal complexation [22,23,40]. The lower Larmor frequency of 31P compared to 1H allows detection of peaks which are broadened or disappear in 1H NMR due to intermediate exchange phenomena.
31P-NMR peaks were assigned to the eight phosphate groups (P1α, P1β, P2, P3, P4, P5α, P5β, P6) using a combination of 2D-NMR techniques (Figure S5). Titrations were performed at 1 mM InsP8 concentration in the pH-range 3.0 – 12.5 under three different conditions: a) without coordinating cations, where ionic strength and pH were maintained with NMe4Cl / NMe4OH (Figure 5a), b) with 150 mM KCl (Figure 5b) and c) with 150 mM KCl and 1 mM MgCl2 (Figure 6a).
Under non-coordinating conditions, all signals shifted upfield with decreasing pH, as has been observed for InsP6 and 5PCP-InsP5 before (Figure 5a) [22,23]. Using HypNMR software, the experimental chemical shift values δP were fitted to generate a model of the protonation process and extract the first eight protonation constants of InsP8, starting from the fully deprotonated molecule (L14-, Table 1) [31]. Compared to InsP6 and 5PCP-InsP5, protonation constants were generally larger (indicating a greater proportion of protonated versus deprotonated state), presumably due to the higher negative charge of InsP8, which stabilizes higher protonation states. The optimized chemical model indicated that in the physiological pH range, H5L9- is the most abundant protonation state (Figure 5c and Figure S6). Based on the calculated protonation constants, theoretical δP values could be calculated, which were in excellent agreement with the experimental values. The theoretical δP values and protonation constants could then be used to determine ΔδP values (changes of theoretical δP with each successive protonation step). Knowing that protonation causes an upfield shift, the ΔδP values revealed the most likely protonation sites and sequence of protonation events (Figure S6). For example, during the first protonation step, the most negative ΔδP values were observed for P3, P5β and P1β, suggesting that P3 shares its proton with P5β or P1β. Sudden chemical shift changes of all four monophosphate signals at around pH 11 indicated the conformational change (Figure 5a). Without coordinating cations, the conformational change thus coincided with the second protonation step (for a full description of the analysis see Supplementary Materials).
Figure 5. 31P-NMR titrations of InsP8. a) Chemical shift without coordinating counterions (150 mM NMe4Cl) at 22°C, pH 3.0-12.5. b) Chemical shift with 150 mM KCl. Dots represent experimental chemical shift data, separated into monophosphate (position 2,3,4,6) and pyrophosphate groups (position 1 and 5). Lines represent theoretical chemical shift values based on the protonation model and calculated protonation constants. c)/d) Abundance of different protonation states (no coordinating counterions) or K+-complexes (in the presence of 150 mM KCl) of InsP8 (L) over the pH range. The grey area represents the pH-range with the biggest chemical shift changes in a) and b).
Figure 5. 31P-NMR titrations of InsP8. a) Chemical shift without coordinating counterions (150 mM NMe4Cl) at 22°C, pH 3.0-12.5. b) Chemical shift with 150 mM KCl. Dots represent experimental chemical shift data, separated into monophosphate (position 2,3,4,6) and pyrophosphate groups (position 1 and 5). Lines represent theoretical chemical shift values based on the protonation model and calculated protonation constants. c)/d) Abundance of different protonation states (no coordinating counterions) or K+-complexes (in the presence of 150 mM KCl) of InsP8 (L) over the pH range. The grey area represents the pH-range with the biggest chemical shift changes in a) and b).
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Since InsP8 would never occur naturally without a background of coordinating ions, we repeated the 31P-NMR titration in the presence of 150 mM KCl (close to physiological potassium concentration, Figure 5b). Compared to the spectra recorded in non-coordinating solution, all peaks were shifted downfield in the presence of K+, suggesting the formation of K+ complexes. Using HypNMR software, the protonation constants from above, and the experimental chemical shift values in the presence of K+, the formation constants and abundance of six different K+ complexes of InsP8 were calculated, along with the most likely sequence of protonation and complexation events (Figure 5d, Figure S7, Table 1). The [K5(HL)]8- complex is by far the most abundant species down to about pH 10, reflected by the almost unchanging chemical shift values. The third protonation event (from [K4(H2L)]8- to [K4(H3L)]7-) coincides with the conformational change, accompanied by a steep upfield shift of all monophosphate peaks around pH 8.5-9.0, consistent with our NMR data above (Figure 3).
Around physiological pH, the most abundant complex is predicted to be [K2(H5L)]7-, in which one K+ ion is coordinated to phosphates in position P6, P5α and P5β. The other K+ ion is coordinated to the pyrophosphate group at the 1-position, between P1α and P2 (Figure S7). Overall, K+ complexes of InsP8 were found to be substantially more stable than equivalent complexes with InsP6 or 5PCP-InsP5 (see formation constants in Table 1). For example, the formation constant of [K2(H5L)]7‒, the main K+-complex of InsP8 at physiological pH, is more than tenfold higher than that of the corresponding 5PCP-InsP5 complex (for a full description of all detected complexes and their analysis, see Supplementary Materials).
Finally, to more closely approximate physiological solution conditions and include divalent cations, we recorded 31P-NMR titration curves of InsP8 in the presence of 150 mM KCl and 1 mM MgCl2 (Figure 6a). Combined with protonation and K+-complexation constants from the previous titrations, the formation constants and likely structures for seven K+-Mg2+ complexes were calculated (Table 1 and Figure S8). Due to the propensity of InsP8 to precipitate, it was not possible to add more than one equiv. MgCl2. The complex described above is therefore not entirely representative of biologically relevant species, but allows some insights nonetheless. Once again, Mg2+-complexes of InsP8 are far more stable than the equivalent ones formed by 5PCP-InsP5, as illustrated by much larger formation constants (Table 1).
The speciation diagram (Figure 6b) highlights the coexistence of several different complexes at any given pH value, especially towards lower pH. In the physiological pH range, the most abundant species is [MgK3(H3L)]6-, in which the Mg2+ ion is coordinated by the pyrophosphate group at 1-position, together with P2 (Figure 6c,d). As for the previous titrations, transition to the equatorial conformation was indicated by a steep upfield shift of monophosphate resonances, in parallel with the third protonation step at around pH 8.5 (likely in position 6, [K3Mg(H2L)]7- to [K3Mg(H3L)]6-). At pH 8.0 and 8.5, the P2 peak was too broad to detect, suggesting higher rates of exchange between conformations in the presence of one equivalent Mg2+, which move the system into the intermediate exchange range even with 31P-NMR detection.
The results illustrate the extremely tight association between InsP8 and K+ or Mg2+ ions, and suggest an important role of the two pyrophosphate groups in Mg2+ binding. While in the axial conformation, InsP8 coordinated Mg2+ between its two pyrophosphate groups; once the conformation has changed to equatorial, the Mg2+ binding site is formed by the pyrophosphate group in position 1 and the phosphate group in position 2 (Figure 6c). These insights might inform future structural studies.
Figure 6. 31P-NMR titrations of InsP8. a) Chemical shift with 150 mM KCl and 1 mM MgCl2 at 22°C, pH 3.0-12.5. Dots represent experimental chemical shift data, separated into monophosphate (position 2,3,4,6) and pyrophosphate groups (position 1 and 5). Lines represent theoretical chemical shift values based on the protonation model and calculated protonation constants. b) Abundance of different or K+-Mg2+-complexes (in the presence of 150 mM KCl) of InsP8 (L) over the pH range. pH 7.4 is indicated by a dashed line. The grey area represents the pH-range with the biggest chemical shift changes in a. c) Schematic view of the highest protonated axial and the lowest protonated equatorial complexes [MgK3(H2L)]7- and [MgK3(H3L)]6- d) DFT optimized structure of the most abundant complex at pH 7.4, [MgK3(H3L)]6‒.
Figure 6. 31P-NMR titrations of InsP8. a) Chemical shift with 150 mM KCl and 1 mM MgCl2 at 22°C, pH 3.0-12.5. Dots represent experimental chemical shift data, separated into monophosphate (position 2,3,4,6) and pyrophosphate groups (position 1 and 5). Lines represent theoretical chemical shift values based on the protonation model and calculated protonation constants. b) Abundance of different or K+-Mg2+-complexes (in the presence of 150 mM KCl) of InsP8 (L) over the pH range. pH 7.4 is indicated by a dashed line. The grey area represents the pH-range with the biggest chemical shift changes in a. c) Schematic view of the highest protonated axial and the lowest protonated equatorial complexes [MgK3(H2L)]7- and [MgK3(H3L)]6- d) DFT optimized structure of the most abundant complex at pH 7.4, [MgK3(H3L)]6‒.
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Table 1. Logarithms of the protonation and formation constants of InsP8 (I = 0.15 M; T = 22 °C).
Table 1. Logarithms of the protonation and formation constants of InsP8 (I = 0.15 M; T = 22 °C).
Equilibrium log K
InsP8 5PCP‒InsP5 InsP6
31P NMR (22 °C)a 31P NMR (22 °C)b Potentiometry (37 °C)b
L14‒ + H+ ↔ HL13‒ 11.21(1) 11.48(1) 10.8(1)
L14‒ + 2 H+ ↔ H2L12‒ 22.78(2) 22.42(2) 21.3(1)
L14‒ + 3 H+ ↔ H3L11‒ 34.22(2) 32.26(2) 31.63(6)
L14‒ + 4 H+ ↔ H4L10‒ 43.96(2) 40.94(2) 40.42(6)
L14‒ + 5 H+ ↔ H5L9‒ 52.58(3) 47.67(2) 47.32(6)
L14‒ + 6 H+ ↔ H6L8‒ 59.41(8) 51.93(2) 53.04(7)
L14‒ + 7 H+ ↔ H7L7‒ 64.91(6) 55.64(2) 56.14(9)
L14‒ + 8 H+ ↔ H8L6‒ 68.79(7) ‒‒‒ ‒‒‒
 
5 K+ + HL13‒ ↔ [K5(HL)]8‒ 12.47(3) 6.57(3) ‒‒‒
4 K+ + H2L12‒ ↔ [K4(H2L)]8‒ 9.76(3) 4.61(3) ‒‒‒
4 K+ + H3L11‒ ↔ [K4(H3L)]7‒ ‒‒‒ 4.50(5) 5.42(5)
3 K+ + H4L10‒ ↔ [K3(H4L)]7‒ 5.446(5) 3.94(4) 3.36(5)
2 K+ + H5L9‒ ↔ [K2(H5L)]7‒ 3.820(7) 2.79(7) ‒‒‒
K+ + H6L8‒ ↔ [K(H6L)]7‒ 2.58(5) ‒‒‒ ‒‒‒
K+ + H7L7‒ ↔ [K(H7L)]6‒ 2.08(3) ‒‒‒ ‒‒‒
 
Mg2+ + L14‒ + 4 K+ ↔ [MgK4L]8‒ 22.4(1) ‒‒‒ ‒‒‒
Mg2+ + HL13‒ + 4 K+ ↔ [MgK4(HL)]7‒ 21.6(1) 11.64(5) ‒‒‒
Mg2+ + H2L12‒ + 3 K+ ↔ [MgK3(H2L)]7‒ 18.1(1) 9.75(7) ‒‒‒
Mg2+ + H3L11‒ + 3 K+ ↔ [MgK3(H3L)]6‒ 15.0(1) 8.79(7) ‒‒‒
Mg2+ + H4L10‒ + 2 K+ ↔ [MgK2(H4L)]6‒ 11.6(1) 6.96(7) ‒‒‒
Mg2+ + H5L9‒ + K+ ↔ [MgK(H5L)]6‒ 9.1(1) 5.26(7) ‒‒‒
Mg2+ + H6L8‒ + K+ ↔ [MgK(H6L)]5‒ 7.3(1) ‒‒‒ ‒‒‒
Mg2+ + H6L8‒ ↔ [Mg(H6L)]6‒ ‒‒‒ 4.71(7) ‒‒‒
(a) This work, σ = 0.033 (H+), 0.053 (K+) and 0.051 (Mg2+). (b) Thermodynamic data reported previously for similar systems are included for comparison. [23,41,42] The standard deviation on the uncertain digit is added between brackets.

3.4. Complex speciation of InsP8 affects protein binding

Considering how sensitively InsP8 speciation reacts to solution conditions, such as pH and ionic composition, we wondered to what extent this speciation could influence the interaction of InsP8 with proteins. To test this, we decided to investigate the binding of InsP8 to a known InsP-binding domain, the SPX domain (named after Syg1, Pho81, Xpr1 proteins) from yeast VTC2 [34,43], using isothermal titration calorimetry (ITC).
The first set of experiments was performed at pH 7.4 and approximately physiological salt composition, but without divalent ions. Based on our previous experiments, we expect InsP8 to adopt its equatorial conformation under these conditions. A fairly strong interaction between InsP8 and VTC2-SPX was observed, which could be fitted with a one-binding-site model (Figure 7a). The dissociation constants (Kd 383 nM and 329 nM in the two replicates) were in the same range as previously published results for InsP6 binding to VTC2-SPX [34,43] or InsP8 interacting with the SPX domain of human XPR1 [6]. While both enthalpic and entropic parameters were in favor of binding, the entropic contribution was the dominant one (ΔH = -3.3 or 3.2 kcal/mol, -TΔS = -5.6 and 5.5 kcal/mol at 25°C).
Next, we repeated the experiment in the presence of 1 mM MgCl2, where we expected a substantial portion of InsP8 to adopt the axial conformation. We specifically chose assay conditions that allowed us to maintain constant pH, so it would not affect the electrostatic properties of the protein, while controlling the conformational equilibrium of InsP8 through the Mg2+ concentration alone. We observed that ΔH, ΔS and Kd all changed upon addition of MgCl2. Kd decreased to app. 200 nM (160 nM and 230 nM in two replicates). Interestingly, the enthalpy of binding became the dominant factor in the presence of MgCl2: ΔH became more negative (-5.9 and -5.5 kcal/mol) and -TΔS less negative (-3.4 and -3.6 kcal/mol). These results confirm the negative correlation between ΔH and –TΔS, which is typical of protein ligand interactions. Enthalpically more favorable interactions are generally less favorable in terms of entropy, with a clear correlation across diverse ligand types [44]. Kd decreased notably, indicating improved binding of the magnesium complex.
In summary, we found that addition of MgCl2 strengthened the binding of InsP8 to the VTC2 SPX-domain under approximately physiological conditions.
Figure 7. Isothermal titration calorimetry of a) InsP8 binding to the yeast VTC2 SPX-domain (50 µM) in ITC binding buffer (25 mM HEPES pH 7.4, 150 mM KCl, 40 mM NaCl, 0.5 mM TCEP) at 25 °C. b) Addition of 1 mM MgCl2 substantially decreases ΔH, ΔS and the binding constant Kd. Two replicates per condition.
Figure 7. Isothermal titration calorimetry of a) InsP8 binding to the yeast VTC2 SPX-domain (50 µM) in ITC binding buffer (25 mM HEPES pH 7.4, 150 mM KCl, 40 mM NaCl, 0.5 mM TCEP) at 25 °C. b) Addition of 1 mM MgCl2 substantially decreases ΔH, ΔS and the binding constant Kd. Two replicates per condition.
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4. Discussion

We have conducted a systematic comparison of inositol poly- and pyrophosphates regarding their conformation at varying pH and ionic composition. Despite their structural similarities and comparable charge, clear differences between InsP6, 5PP-InsP5 and InsP8 became apparent. Generally speaking, the more phosphoryl groups the molecules carry, the lower the pH range in which the conformational change takes place. It was previously demonstrated for InsP6, that phosphoryl groups are spatially better separated in the axial conformation, minimizing steric and electrostatic repulsion between the anionic groups and providing one of the driving forces for the conformational change of higher InsPs (Figure 1c) [22,23]. Additional phosphoryl groups lead to accumulation of more negative charge in the equatorial plane, which means a critical charge density is reached at lower pH, facilitating the conformational change.
Our results also confirmed previous studies, which demonstrated that metal cation coordination can promote the transition to the axial conformation at lower pH. Frost et al. reported as early as 1979, that alkali cations stabilize the axial conformation of InsP6 [38]. There have since been multiple studies showing that complexation of various metals facilitates the transition to axial InsP6 [42,45,46,47]. Hager et al. could subsequently show that Mg2+ ions help to stabilize 5PCP-InsP5 in an axial conformation [23,38]. Notably, we now found that InsP8 begins to change conformation at pH* 7.5 in the presence of 5 equiv. MgCl2 - reminiscent of cytosolic conditions - which led us to focus our next efforts on this molecule.
Thermodynamic studies provided more information about the conformational equilibrium of InsP8. The transition from the equatorial to axial conformation is an exothermic process, and the formation of the axial conformer is enthalpically favored but entropically hindered. Addition of Mg2+ ions reduced both the enthalpic driving force and the entropic penalty, shifting the equilibrium more toward the axial side. As has been previously demonstrated for InsP6, the phosphoryl groups are more exposed to the solvent in the axial conformation, leading to a more ordered hydration shell and overall loss of entropy compared to equatorial conformation, hence a negative ΔS [22]. Positively charged Mg2+ ions will coordinate to the phosphoryl groups, thereby shielding some of the negative charge, which reduces hydration, and could explain why there is less entropic penalty associated with the conformational change at higher Mg2+ concentrations. Similarly, coordination of Mg2+ cations might also reduce electrostatic repulsion between phosphoryl groups in the equatorial plane, thus reducing the enthalpic driving force towards the axial conformation. Of course, the forces governing the conformational equilibrium are likely more complex than the interpretation above. A plethora of different multinuclear complexes can be expected to coexist and interconvert, each with its own protonation / complexation / conformation equilibria. The parameters we determined experimentally should therefore be understood as the sum of all these processes.
Trying to make a prediction about InsP8 in biological settings based on our results, we considered the following: Our assay conditions can only approximate cytosolic conditions, and we did not increase MgCl2 content beyond 0.25 mM or five equivalents relative to 50 µM InsP8, to avoid precipitation. Furthermore, the concentration of InsP8 could not be reduced below 50 µM, without compromising the NMR detection. However, the endogenous concentration InsP8 is thought to be around 1 µM, and cytosolic concentrations of free Mg2+ are approximately 0.5 - 1 mM [27,48]. Therefore, there is a far greater excess of Mg2+ in a cytosolic setting than in our assays. This excess should push the conformational equilibrium further toward the axial side than the ca. 30% we observed under our conditions. Nevertheless, five equivalents Mg2+ should largely saturate InsP8, which at pH 7.4 carries 10 – 11 negative charges (Figure 5). For comparison, InsP6 is also predicted to form pentamagnesium complexes under cytosolic conditions [41,49]. Taken together, these considerations strongly suggest that InsP8 is actively interconverting between conformations under cytosolic conditions. Based on our experiments, we expect more than 30% of the cytosolic pool of InsP8 to adopt axial conformation under physiological conditions.
Phosphorous NMR-studies revealed further details of the multifaceted speciation of InsP8 regarding protonation and complexation with potassium and magnesium ions. At physiological pH and in the presence of K+ and an equimolar amount of Mg2+, the most abundant species is the equatorial complex [MgK3(H3L)]6-, in which Mg2+ is coordinated to P2, P1α and P1β. Another species present at physiological pH is the axial complex [MgK3(H2L)]7- in which Mg2+ is coordinated by P5α and P1α. Overall, the pyrophosphate groups in positions 1 and 5 play an essential role in Mg2+ binding, as the ion is always coordinated to either the two pyrophosphate groups (in axial complexes) or P2 and PP1 (in equatorial complexes). Notably, all metal complexes of InsP8 are far more stable than the equivalent ones formed by InsP6 or 5PP-InsP5.
The Mg2+ complexes of PP-InsPs were also found to be more stable than those of ATP and ADP, two other well-known cytosolic Mg2+ chelators. Formation constants of complexes between Mg2+ and ATP, previously reported at 150 mM NaCl and 37°C [50] are: Mg2+ + ATP = [MgATP]2-: log(K) = 4.34, Mg2+ + HATP = [Mg(HATP)]-: log(K) = 2.39. In contrast, we measured log formation constants of 15.0 and 8.7 for [MgK3(H3L)] complexes of InsP8 and 5PP-InsP5. The question that inevitably comes to mind, is to what extent the significant stability of these complexes influences their interactions with other biomolecules. Do metal ions bridge binding interactions between PP-InsPs and proteins? And if so, is this effect more pronounced for InsP8 than its less densely phosphorylated relatives? And how does this ultimately influence the strength and specificity of binding?
It is easy to envision signaling functions associated with the metal complexation and the conformational equilibrium of PP-InsPs. In light of their role as cellular ATP and phosphate sensors, other sensor functions seem plausible [5,43]. Given how sensitively PP-InsP speciation reacts to solution conditions in vitro, it is highly likely to change upon local subcellular perturbations in pH or metal composition, which may promote selective engagement of signaling partners. Such a pH-sensing mechanism has been proven in the case of the yeast transcription factor Opi1, which is retained on the ER membrane by binding to phosphatidic acid (PA). Upon decrease of intracellular pH and protonation of the PA headgroup, Opi1 was released and activated its downstream target genes, involved in inositol biosynthesis [51]. The authors proposed that phosphatidyl inositol lipids might sense pH through similar mechanisms, and we envision the same might be true for soluble InsPs. Interestingly, the enzymes KCS1 and PLC1, part of the inositol pyrophosphate synthesis pathway in yeast, were found in a genome-wide screen for proteins involved in intracellular pH sensing [52].
In the large majority of cases, it is unclear by which mechanisms proteins manage to recognize and distinguish the different PP-InsPs [6,20]. Differential metal binding and / or a drastically altered molecular shape in the axial conformation might provide a convenient way to recognize the appropriate ligand. The idea that solution conditions, specifically the presence or absence of divalent cations, can have a tremendous influence on the outcome of in vitro binding studies with InsPs, has already been proposed more than twenty years ago [53]. Our ITC experiments now provide a first small hint that the axial conformation might play a role in this differentiation. We showed before that InsP8 is partially present in axial conformation under the ITC assay conditions with Mg2+. Dissociation constants for InsP8 binding to the VTC2 SPX domain were almost cut in half by addition of 1 mM Mg2+, and binding shifted towards a more enthalpically dominated interaction in the presence of Mg2+. It is tempting to speculate that the decrease in ΔH might reflect a more specific fit of an axial magnesium complex into the binding site, compared to the free, equatorial molecule, but structural evidence would be a prerequisite to support this hypothesis and is currently unavailable.
Overall, our results highlight the immense complexity of PP-InsP speciation and how this speciation may influence their behavior. Solution conditions for PP-InsP-protein binding experiments in the literature differ widely regarding pH, salts, and other additives.
For future biochemical studies, it will be important to consider carefully, which molecular species are formed under the given assay conditions, how those conditions might affect the experimental outcome, and to what extent the conditions mirror cellular settings. An accurate understanding of this complexity will be indispensable in decoding the diverse roles of InsPs and PP-InsPs as cellular messengers.

Supplementary Materials

The following supporting information can be downloaded at the website of this paper posted on Preprints.org.

Author Contributions

Conceptualization, D.F., L.K., N.V.; methodology, L.K., N.V., P.S.; validation, L.K., N.V.; formal analysis, N.V.; investigation, L.K.; resources, L.K., P.S.; data curation, L.K., P.S.; writing—original draft preparation, L.K., N.V., D.F.; writing—review and editing, L.K., P.S., N.V., D.F.; visualization, L.K., N.V.; supervision, D.F., N.V.; project administration, D.F., N.V.; funding acquisition, D.F., N.V. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Deutsche Forschungsgemeinschaft DFG-TRR186 (Project A24N).

Institutional Review Board Statement

Not applicable

Data Availability Statement

The raw data presented in this study are openly available on the Zenodo repository under the doi 10.5281/zenodo.7665634.

Acknowledgments

The authors would like to thank Simon Bartsch for his improvements to the InsP8 synthesis workflow, Dr. Robert Harmel for his guidance and support with NMR experiments, and Dr. Oxana Krylova for her help with ITC.

Conflicts of Interest

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.

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Figure 2. Representative 1H,13C-HMQC-NMR spectra of 13C-labeled a) InsP6, b) 5PP-InsP5 and c) InsP8 in equatorial (eq.), axial (ax.) or mixed conformation, recorded at 4 °C. Peaks correspond to inositol backbone protons and are labeled according to their position in the myo-inositol ring. Samples contained 50 µM InsPs and 130 mM KCl, 10 mM NaCl in D2O. pH*-values measured in D2O can be converted to pH using the following formula: pH = 0.929•pH*+0.42 [30].
Figure 2. Representative 1H,13C-HMQC-NMR spectra of 13C-labeled a) InsP6, b) 5PP-InsP5 and c) InsP8 in equatorial (eq.), axial (ax.) or mixed conformation, recorded at 4 °C. Peaks correspond to inositol backbone protons and are labeled according to their position in the myo-inositol ring. Samples contained 50 µM InsPs and 130 mM KCl, 10 mM NaCl in D2O. pH*-values measured in D2O can be converted to pH using the following formula: pH = 0.929•pH*+0.42 [30].
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Figure 4. Thermodynamic analysis of InsP8 conformational equilibrium. a) Proportions of axial vs. equatorial conformer in the presence of 2 equiv. vs. 5 equiv. Mg2+, according to Gibbs-Helmholtz equation and thermodynamic parameters from b). b) Results of van’t Hoff analysis. Transition from eq. to ax. conformation is an exothermic process. While both entropic and enthalpic contributions are decreased by additional Mg2+, overall the equilibrium is shifted toward ax. conformation. c)/d) Van’t Hoff plots of InsP8 conformational equilibrium at pH 7.4 in the presence of c) two equivalents, d) five equivalents MgCl2 and physiological background of 130 mM KCl and 10 mM NaCl. Temperature range: 274-283 K. 1H,13C-HMQC-NMR spectra were integrated to obtain the ratio of eq. to ax. conformer, i.e. the equilibrium constant K of the conformational equilibrium. Two replicates were treated as one for the linear regression. Thermodynamic parameters are reported ± standard error of regression.
Figure 4. Thermodynamic analysis of InsP8 conformational equilibrium. a) Proportions of axial vs. equatorial conformer in the presence of 2 equiv. vs. 5 equiv. Mg2+, according to Gibbs-Helmholtz equation and thermodynamic parameters from b). b) Results of van’t Hoff analysis. Transition from eq. to ax. conformation is an exothermic process. While both entropic and enthalpic contributions are decreased by additional Mg2+, overall the equilibrium is shifted toward ax. conformation. c)/d) Van’t Hoff plots of InsP8 conformational equilibrium at pH 7.4 in the presence of c) two equivalents, d) five equivalents MgCl2 and physiological background of 130 mM KCl and 10 mM NaCl. Temperature range: 274-283 K. 1H,13C-HMQC-NMR spectra were integrated to obtain the ratio of eq. to ax. conformer, i.e. the equilibrium constant K of the conformational equilibrium. Two replicates were treated as one for the linear regression. Thermodynamic parameters are reported ± standard error of regression.
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