Relationship between structure and three-bond proton–proton coupling constants in glycosaminoglycans

Exploring Ring Conformation in Uronate Monosaccharides: Insights from Ab Initio Calculations and Classical Molecular Dynamics Simulations

The study focuses on the conformational properties of biologically relevant monosaccharides belonging to the group of uronates: α-l-iduronate, O2-sulfated-α-l-iduronate, and O2-sulfated-α-l-guluronate, either unfunctionalized or O1-methylated. We applied the previously proposed two-step methodology, combining classical MD simulations and subsequent ab initio (QM) calculations, performed on a rationally subsampled set of molecular configurations. We found that, regardless of the number of molecular configurations considered, the level of theory, and the weighting scheme applied, none of the QM approaches is capable of predicting the correct conformational equilibrium of sulfated iduronates as long as the tight counterion binding is not considered. Multicenter, ring-shape-specific binding of either Na+ or Ca2+ ions drastically shifts the conformational equilibrium of the pyranose ring in sulfated iduronates toward 1C4 but does not significantly affect the conformation of non-sulfated compounds. A similar shift is observed upon the protonation of carboxyl groups in all iduronates. In addition, we report a set of average J-coupling constant values related to vicinal protons bound to the pyranose ring of iduronates and corresponding to each of the three main groups of ring conformers, i.e., 4C1, B/S (boat/skew boat), and 1C4. In combination with the conformational energies or with the experimental data, these values allowed the relative proportions of the ring conformers to be estimated and the Karplus-type equations linking the 3JHH-coupling constants to the torsion angles within the pyranose ring to be refined.

Characterization of Heparin's Conformational Ensemble by Molecular Dynamics Simulations and Nuclear Magnetic Resonance Spectroscopy

Heparin is a highly charged, polysulfated polysaccharide and serves as an anticoagulant. Heparin binds to multiple proteins throughout the body, suggesting a large range of potential therapeutic applications. Although its function has been characterized in multiple physiological contexts, heparin's solution conformational dynamics and structure-function relationships are not fully understood. Molecular dynamics (MD) simulations facilitate the analysis of a molecule's underlying conformational ensemble, which then provides important information necessary for understanding structure-function relationships. However, for MD simulations to afford meaningful results, they must both provide adequate sampling and accurately represent the energy properties of a molecule. The aim of this study is to compare heparin's conformational ensemble using two well-developed force fields for carbohydrates, known as GLYCAM06 and CHARMM36, using replica exchange molecular dynamics (REMD) simulations, and to validate these results with NMR experiments. The anticoagulant sequence, an ultra-low-molecular-weight heparin, known as Arixtra (fondaparinux, sodium), was simulated with both parameter sets. The results suggest that GLYCAM06 matches experimental nuclear magnetic resonance three-bond J-coupling values measured for Arixtra better than CHARMM36. In addition, NOESY and ROESY experiments suggest that Arixtra is very flexible in the sub-millisecond time scale and does not adopt a unique structure at 25 C. Moreover, GLYCAM06 affords a much more dynamic conformational ensemble for Arixtra than CHARMM36.

The conformation of the idopyranose ring revisited: How subtle O-substituent induced changes can be deduced from vicinal 1H-NMR coupling constants

The idopyranose ring plays a pivotal role in the conformational, dynamical, and intermolecular binding aspects of glycosaminoglycans like heparin and dermatan sulfate and it was early on assigned a role in the Sugar Code governing biological recognition processes. There is consensus that next to the two canonical ¹C₄ and ⁴C₁ chair conformations, the conformational space accessible to the idopyranose ring entails a ²S_O skew-boat conformation, but the equilibrium between these three ring puckers has evaded satisfactory quantification. In this study a meta-analysis of X-ray solid-state data and vicinal NMR coupling constants is presented, based on the Truncated Fourier Puckering (TFP) formalism and the generalized Karplus (CAGPLUS) equation. This approach yields a model-free, granular and consistent reckoning of 159 idopyranose solution puckering equilibria studied by NMR and allows us to reproduce the involved 636 NMR vicinal couplings with an overall residual RMS(J_obs-J_calc) of 0.184 Hz. Our analyses show that for all ring systems examined, the idopyranosyl chair conformations take up the same ring pucker irrespective of the ring substituent pattern or a vast variety in experimental conditions. Instead, it is the (skew-)boat conformation that adapts to the substitution pattern of the idopyranose ring or a specific sulfation pattern of neighboring saccharides. All idopyranose rings are involved in conformational equilibria that subsume the aforementioned conformers which turn out to differ only a few kJ/mole in conformational energy. Thus, the plasticity and flexibility of idopyranose remains intact under practically all circumstances and, as the glycosidic linkages in heparin are considered to be relatively stiff, the iduronic moiety functions as the linchpin of heparin flexibility thereby being rather a "space(r)" than a "letter" in the alleged Sugar Code alphabet.

Ring Puckering Landscapes of Glycosaminoglycan-Related Monosaccharides from Molecular Dynamics Simulations

The conformational flexibility of the glycosaminoglycans (GAGs) is known to be key in their binding and biological function, for example in regulating coagulation and cell growth. In this work, we employ enhanced sampling molecular dynamics simulations to probe the ring conformations of GAG-related monosaccharides, including a range of acetylated and sulfated GAG residues. We first perform unbiased MD simulations of glucose anomers and the epimers glucuronate and iduronate. These calculations indicate that in some cases, an excess of 15 μs is required for adequate sampling of ring pucker due to the high energy barriers between states. However, by applying our recently developed msesMD simulation method (multidimensional swarm-enhanced sampling molecular dynamics), we were able to quantitatively and rapidly reproduce these ring pucker landscapes. From msesMD simulations, the puckering free energy profiles were then compared for 15 further monosaccharides related to GAGs; this includes to our knowledge the first simulation study of sulfation effects on β-GalNAc ring puckering. For the force field employed, we find that in general the calculated pucker free energy profiles for sulfated sugars were similar to the corresponding unsulfated profiles. This accords with recent experimental studies suggesting that variation in ring pucker of sulfated GAG residues is primarily dictated by interactions with surrounding residues rather than by intrinsic conformational preference. As an exception to this, however, we predict that 4-O-sulfation of β-GalNAc leads to reduced ring rigidity, with a significant lowering in energy of the ¹C₄ ring conformation; this observation may have implications for understanding the structural basis of the biological function of β-GalNAc-containing glycosaminoglycans such as dermatan sulfate.

Synthetic Disaccharide Standards Enable Quantitative Analysis of Stored Heparan Sulfate in MPS IIIA Murine Brain Regions

Heparan sulfate (HS) is a complex polysaccharide from the glycosaminoglycan (GAG) family that accumulates in tissues in several neurological lysosomal storage diseases known as mucopolysaccharidosis (MPS) disorders. The quantitation of HS in biological samples is important for studying MPS disorders but is very challenging because of its high molecular weight and heterogeneity. Recently, acid-catalyzed butanolysis followed by LC-MS/MS analysis has emerged as a promising method for the determination of HS. Butanolysis of HS produces fully desulfated disaccharide cleavage products which are detected by LC-MS/MS. Herein we describe the synthesis of butylated HS disaccharide standards and their use for determining the identity of major product peaks in LC-MS chromatograms from butanolysis of HS as well as the related GAGs heparin and heparosan. Furthermore, synthesis of a d₉-labeled disaccharide internal standard enabled the development of a quantitative LC-MS/MS assay for HS. The assay was utilized for the analysis of MPS IIIA mouse brain tissues, revealing significant differences in abundance and in the regional accumulation of the various HS disaccharides in affected mice.

Synthesis and mass spectrometric analysis of disaccharides from methanolysis of heparan sulfate

Heparan sulfate (HS) disaccharides were synthesized to identify HS methanolysis products by LC-MS/MS with applications for mucopolysaccharidosis disorders.

Structure of the Complex between a Heparan Sulfate Octasaccharide and Mycobacterial Heparin-Binding Hemagglutinin

Heparin-binding hemagglutinin (HBHA) is a 199 amino acid virulence factor at the envelope of Mycobacterium tuberculosis that contributes to latent tuberculosis. The binding of HBHA to respiratory epithelial cells, which leads to extrapulmonary dissemination of the pathogen, is mediated by cell-surface heparan sulfate (HS). We report the structural characterization of the HBHA/HS complex by NMR spectroscopy. To develop a model for the molecular recognition, the first chemically synthesized uniformly ¹³ C- and ¹⁵ N-labeled HS octasaccharide and a uniformly ¹³ C- and ¹⁵ N-labeled form of HBHA were prepared. Residues 180-195 at the C-terminal region of HBHA show large chemical shift perturbation upon association with the octasaccharide. Molecular dynamics simulations conforming to the multidimensional NMR data revealed key electrostatic and even hydrophobic interactions between the binding partners that may aid in the development of agents targeting the binding event.

Solution Structure of Heparin Pentasaccharide: NMR and DFT Analysis

High-resolution NMR and density functional theory (DFT) calculations have been applied to analysis of heparin pentasaccharide 3D structure in aqueous solution. The fully optimized molecular geometry of two pentasaccharide conformations (differing from each other in the form, one (1)C4 and the other (2)S0, of the sulfated iduronic acid residue) were obtained using the B3LYP/6-311+G(d,p) level of theory in the presence of solvent, the latter included as explicit water molecules. The presented approach enabled insight into variations of the bond lengths, bond angles, and torsion angles, formations of intra- and intermolecular hydrogen bonds, and ionic interactions in the two pentasaccharide conformations. A rather complex hydrogen bond network is formed, including inter-residue and intraresidue bonds between the NH group in the GlcN,3,6S with oxygens linked to C-2 at the IdoA2S residue and the glycosidic O-1 and the neighboring OSO3(-) group linked to C-3 in the same residue. On the other hand, because the first hydration shell is strongly influenced by strong ion-ion and ion-dipole interactions between sodium ions, sulfates, carboxylates, and -OH groups, ionic interactions play an important role in the stabilization of the 3D structure. The DFT-computed three-bond proton-proton coupling constants also showed that best agreement with experiment was obtained with a weighted average of 15:85 ((1)C4/(2)S0) of the sulfated iduronic acid forms indicating that the ratio is even more shifted toward the (2)S0 form than previously supposed. The DFT-computed pentasaccharide conformation differs from the previously published data, with the main changes at the glycosidic linkages, namely, the ψ1 torsion angles and the ϕ3 angle. The comparison of the glycosidic linkage torsion angle values in solution with the antithrombin-pentasaccharide complex also indicates that the pentasaccharide conformation changes upon binding to antithrombin III. The data supports the assumption that the protein selects the more populated (2)S0 conformer of heparin pentasaccharide and, consequently, the binding process of heparin pentasaccharide with antithrombin III is energetically more favorable than formerly expected.

NMR and DFT analysis of trisaccharide from heparin repeating sequence

NMR and density functional theory (DFT) have afforded detailed information on the molecular geometry and spin-spin coupling constants of a trisaccharide from the heparin repeating-sequence. The fully optimized molecular structures of two trisaccharide conformations (differing from each other in the form of the central iduronic acid residue) were obtained using the B3LYP/6-311+G(d,p) level of theory in the presence of solvent, the latter included as either explicit water molecules or via a continuum solvent model. NMR spin-spin coupling constants were also computed using various basis sets and functionals and then compared with measured experimental values. Optimized structures for both conformers showed differences in geometry at the glycosidic linkages and in the formation of intramolecular hydrogen bonds. Three-bond proton-proton coupling constants ((3)JH-C-C-H), based on fully optimized geometry computed using the B3LYP/6-311+G(d,p)/UFF level of theory and hydrated with 57 water molecules, showed that the best agreement with experiment was obtained with the 6-311+G(d,p) basis set and a weighted average of 55:45 ((1)C4:(2)S0) of the IdoA2S forms. Other basis sets, DGDZVP and TZVP, also gave acceptable data for most coupling constants, with DGDZVP outperforming the TZVP. Detailed analysis of Fermi-contact contributions to (3)JH-C-C-H showed that important contributions arise from oxygen at both glycosidic linkages, as well as from oxygen atoms on the neighboring monosaccharide units. Their contribution to the Fermi term cannot be neglected and must be taken into account for a correct description of coupling constants. The analysis also showed that the magnitude of paramagnetic (PSO) and diamagnetic (DSO) spin-orbit contributions is comparable to the magnitude of the Fermi-contact contribution in some coupling constants in the IdoA2S residue. Calculations of the localized molecular orbital contributions to the DSO terms from separate conformational residues showed that the contribution from adjacent residues is not negligible and can be important for the spin-spin coupling constants between protons located close to the geometrical center of the molecule. These contributions should be taken into account when interpreting DSO terms in spin-spin coupling constants especially in large molecules.

NMR-based dynamics of free glycosaminoglycans in solution

Dynamical behaviors of glycosaminoglycans, as here illustrated with a hyaluronan oligosaccharide, are key regulators of biological functions.

Toward an accurate conformational modeling of iduronic acid

Iduronic acid (IdoA), unlike most other monosaccharides, can adopt different ring conformations, depending on the context of the molecular structure. Accurate modeling of this building block is essential for understanding the role of glycosaminoglycans and other glycoconjugates. Here, we use metadynamics to predict equilibria of (1)C(4), (4)C(1) and (2)S(O) conformations of α-L-IdoA-OMe and α-L-IdoA2S-OMe. Different schemes of scaling of atoms separated by three bonds (1-4 interaction) were tested. It was found that scaling (reduction) of 1-4 electrostatic interactions significantly changes conformational preferences toward the (4)C(1) conformation. More interestingly, scaling of 1-4 van der Waals interaction favors skew-boat conformations. This shows that a minor modification of noncovalent 1-4 interactions parameters can provide a good agreement between populations of conformers of iduronic acid in water from simulations and experiments.

Is N-acetyl-D-glucosamine a rigid 4C1 chair?

Understanding microsecond-timescale dynamics is crucial to establish three-dimensional (3D) structure-activity relationships in sugars but has been intractable to experiments and simulations. As a consequence, whether arguably the most important chemical scaffold in glycobiology, N-acetyl-d-glucosamine (GlcNAc), deviates from a rigid (4)C(1) chair is unknown. Here, conformer populations and exchange kinetics were quantified from the longest aqueous carbohydrate simulations to date (0.2 ms total) of GlcNAc, four derivatives from heparan sulfate and their methylglycosides. Unmodified GlcNAc took 3-5 μs to reach a conformational equilibrium, which comprised a metastable (4)C(1) chair that underwent (4)C(1) ↔ (1)C(4) transitions at a predicted forward rate of 0.8 μs(-1) with an average (1)C(4)-chair lifetime of 3 ns. These predictions agree with high-resolution crystallography and nuclear magnetic resonance but not with the hypothesis that GlcNAc is a rigid (4)C(1) chair, concluded from previous experimental analyses and non-aqueous modeling. The methylglycoside was calculated to have a slower forward rate (0.3 μs(-1)) and a more stable (4)C(1) conformer (0.2 kcal mol(-1)), suggesting that pivotal 3D intermediates (particularly (2)S(O), (1)S(5) and B(2,5)) increased in energy, and water was implicated as a major cause. Sulfonation (N-, 3-O and 6-O) significantly augmented this effect by blocking pseudorotation, but did not alter the rotational preferences of hydroyxl or hydroxymethyl groups. We therefore propose that GlcNAc undergoes puckering exchange that is dependent on polymerization and sulfo substituents. Our analyses, and 3D model of the equilibrium GlcNAc conformer in water, can be used as dictionary data and present new opportunities to rationally modify puckering and carbohydrate bioactivity, with diverse applications from improving crop yields to disease amelioration.

Free energy landscapes of iduronic acid and related monosaccharides

The pyranose ring of L-iduronic acid (IdoA), a major constituent of the anticoagulant heparin, is an equilibrium of multiple ring puckers that have evaded quantification by experiment or computation. In order to resolve this enigma, we have calculated the free energy landscape of IdoA and two related monosaccharides from extensive microsecond simulations. After establishing that the simulated puckers had reached equilibrium, hypotheses were confirmed that (a) IdoA (1)C(4)- and (4)C(1)-chair conformations exchange on the microsecond time scale, (b) C5 epimerization leads to a (4)C(1)-chair, and (c) IdoA 2-O-sulfation (IdoA2S) stabilizes the (1)C(4) conformer. The IdoA and IdoA2S (1)C(4) conformers were isoenergetic and computed to be 0.9 and 2.6 kcal mol(-1) lower in free energy than their respective (4)C(1)-chair conformations. The simulations also predicted that the IdoA (2)S(O)-skew-boat was less populated than previously thought. Novel chemical synthesis and ultra-high-field NMR supported these observations, but slight discrepancies in observed and predicted NMR vicinal couplings implied that the simulation overestimated the population of the IdoA (4)C(1)-chair with respect to (1)C(4)-chair due to small force field inaccuracies that only manifest in long simulations. These free-energy calculations drive improvements in computational methods and provide a novel route to carbohydrate mimetic biomaterials and pharmaceuticals.

Residual dipolar coupling investigation of a heparin tetrasaccharide confirms the limited effect of flexibility of the iduronic acid on the molecular shape of heparin

The solution conformation of a fully sulfated heparin-derived tetrasaccharide, I, was studied in the presence of a 4-fold excess of Ca²⁺. Proton–proton and proton–carbon residual dipolar couplings (RDCs) were measured in a neutral aligning medium. The order parameters of two rigid hexosamine rings of I were determined separately using singular value decomposition and ab initio structures of disaccharide fragments of I. The order parameters were very similar implying that a common order tensor can be used to analyze the structure of I. Using one order tensor, RDCs of both hexosamine rings were used as restraints in molecular dynamics simulations. RDCs of the inner iduronic acid were calculated for every point of the molecular dynamics trajectory. The fitting of the calculated RDCs of the two forms of the iduronic acid to the experimental values yielded a population of ¹C₄ and ²S_o conformers of iduronic acid that agreed well with the analysis based on proton–proton scalar coupling constants. The glycosidic linkage torsion angles in RDC-restrained molecular dynamics (MD) structures of I are consistent with the interglycosidic three-bond proton–carbon coupling constants. These structures also show that the shape of heparin is not affected dramatically by the conformational flexibility of the iduronic acid ring. This is in line with conclusions of previous studies based on MD simulations and the analysis of ¹H-¹H NOEs. Our work therefore demonstrates the effectiveness of RDCs in the conformational analysis of glycosaminoglycans.

B3LYP/6-311++G* * study of structure and spin-spin coupling constant in heparin disaccharide

Structures of heparin disaccharide have been analyzed by DFT using the B3LYP/6-311++G( * *) method. The optimized geometries of two forms of this disaccharide, differing in the conformation ((1)C(4) and (2)S(0)) of the IdoA2S residue, confirmed considerable influences of the sulfate and the carboxylate groups upon the pyranose ring geometries. The computed energies showed that disaccharide having the (1)C(4) form of the IdoA2S residue is more stable than that with the (2)S(0) form. Interatomic distances, bond and torsion angles showed that interconversion of the IdoA2S residue results in geometry changes in the GlcN,6S residue as well. Three-bond proton-proton and proton-carbon spin-spin coupling constants computed for both forms agree with the experimental data and indicate that only two chair forms contribute to the conformational equilibrium in disaccharide. Influences of the charged groups upon the magnitudes of spin-spin coupling constants are also discussed.