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1 Biomolecular Research Institute, Parkville, Victoria 3052, Australia
2 Department of Medicinal Chemistry, Monash University, Parkville, Victoria 3052, Australia
Reprint requests to: Dr. Brian J. Smith, Biomolecular Research Institute, 343 Royal Parade, Parkville, Victoria 3052, Australia; e-mail: brian.smith{at}bioresi.com.au; fax: 61-3-9662-7347.
(RECEIVED October 3, 2000; FINAL REVISION January 2, 2001; ACCEPTED January 2, 2001)
Article and publication are at www.proteinscience.org/cgi/doi/10.1110/ps.41801.
| Abstract |
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Keywords: Influenza virus; neuraminidase inhibitors; electrostatics; X-ray crystal structures; binding energies; molecular modeling
| Introduction |
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NA is one of two surface glycoproteins found on influenza virus particles (Colman 1989). Its major function is to cleave terminal sialic acid from cell-surface glycoconjugates, which is the receptor for the other surface protein, hemagglutinin. The relationship between the affinity of hemagglutinin to bind the receptor and the capacity for NA to remove the receptor appears to control replication rates of the virus (McKimm-Breshkin 2000). Inhibition of NA delays the release of progeny virions from the surface of infected cells (Liu et al. 1995), suppressing the viral population and thereby allowing time for the host immune system to eliminate the virus.
The X-ray structure of NA complexed with DANA bound in the active site (Burmeister et al. 1993; Varghese et al. 1998; Fig. 1
) shows that it binds with identical interactions as the natural substrate, sialic acid (Varghese et al. 1992). Three arginine residues, 118, 292, and 371, bind the carboxylate. The oxygen and nitrogen atoms of the acetamido form hydrogen bonds with Arg152 and a bound water molecule, respectively, whereas the methyl group lies in a hydrophobic pocket near Ile222 and Trp178. The O8- and O9-hydroxyl groups of the glycerol side chain are hydrogen bonded to Glu276. The O4 hydroxyl sits at the entrance to a pocket formed, in part, by the acidic groups Glu119, Asp151, and Glu227. The 4-guanidino group of zanamivir fits into this pocket and forms stable hydrogen-bonding interactions with the acid residues Asp151 and Glu227 (Varghese et al. 1995).
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Benzoic-acid-based inhibitors were synthesized to overcome the rapid excretion of the carbohydrate-based compounds and therefore provide long-term protection from viral infection (Jedrzejas et al. 1995b). One of these compounds with a guanidino substituent, which is designed to bind in the same pocket as zanamivir, was unexpectedly found to bind with the guanidino group at the position of the glycerol side chain of zanamivir (Singh et al. 1995). Inhibitors of this type can, however, achieve nanomolar inhibition of type-A influenza (Atigadda et al. 1999).
Carbocyclic compounds more closely resemble the oxo-carbenium transition state intermediate (Smith 1997) than do DANA, and they were expected to bind more tightly than did the DANA derivatives (Kim et al. 1997, 1998). Indeed, the carbocyclic analog of DANA has twice the potency of DANA (Vorwerk and Vasella 1998). The carbocyclic prodrug oseltamivir is an orally active inhibitor of influenza virus NA with inhibitory properties similar to those of zanamivir (Kim et al. 1999).
The design of zanamivir followed characterization of an energetically favorable binding potential for an ammonium group at the O4 pocket. Replacement of the hydroxyl at this position in DANA with an amino group (4-amino-DANA, 2) was predicted to form a favorable interaction with Glu119 and was subsequently found to produce a potent inhibitor (von Itzstein et al. 1993). In addition to this site, the glycerol-binding site near Glu276 has been identified as an alternative site for binding positively charged groups (Jedrzejas et al. 1995a). A benzoic acid derivative that was designed to take advantage of the negative electrostatic potential at both the O4 and glycerol sites, however, did not produce the expected increase in viral inhibition, despite binding in the predicted manner (Sudbeck et al. 1997). The effects of conformational strain and desolvation were advanced as possible explanations for the lack of improvement of inhibitor ability.
We consider in this study whether replacement of the O9 hydroxyl of DANA with an amino group should form a stronger interaction with the active site acid group and improve inhibitor binding. The enzymatic assay of two new derivatives of DANA (von Itzstein et al. 1991), 9-amino (3) and 4,9-diamino-DANA (4), is reported. High resolution X-ray crystallographic structures of DANA and the three derivatives 24 are also presented along with a computational analysis of the binding affinities of these ligands.
| Results and Discussion |
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Each of the ligands has more than one possible ionization state in which the carboxylate and amino groups can be either neutral or charged. Because the binding of the carboxylate group is identical in all three structures with that of the parent DANA, we have assumed an anionic state. Assignment of the protonation state of the amino group is less clear. Thus the 4-amino and 9-amino derivatives can carry a charge of -1 if the amino group is neutral (4N-DANA, 9N-DANA), or a neutral charge if the amino group is protonated (4N+-DANA, 9N+-DANA). The 4,9-diamino compound has four possible charge states in which the amino groups are either both neutral (4N,9N-DANA), in which one is charged (4N+,9N-DANA, 4N,9N+-DANA), or in which both are charged (4N+,9N+-DANA).
Molecular mechanics calculations were used to minimize the structures of the four ligands that are bound in the active site of NA in each of the possible ionization states. Protein atom coordinates were taken from the individually refined X-ray structures for each ligand. The side chain groups of the ionizable amino acids (Asp, Glu, Arg, and Lys) were charged. Separations between the substituent at the C4 position of the ligand and the nearest carboxylate oxygen of Glu119 are presented in Table 2
. For DANA, significantly better agreement with the X-ray structure is obtained with neutral Glu119 than when it is charged (although the difference between calculated and X-ray separation is still relatively large). The separation calculated for the charged ammonium nitrogen in both the 4-amino- and 4,9-diamino-DANA complexes with charged Glu119 was found to be substantially shorter (2.64 Å2.69 Å) than that observed in the X-ray structures (2.96 Å2.94 Å). Considerably better agreement was obtained for the species with a neutral 4-amino group, 2.80 Å2.87 Å. Neutralization of Glu119 provided structures with the charged 4-ammonium group that provided the best agreement with the X-ray results (2.86 Å2.92 Å). Also shown in Table 2
, the positions of the minimized inhibitor heavy atoms show smaller root mean square (r.m.s.) deviations from the X-ray positions with Glu119 in the neutral state. These results do not appear to be artefacts of the force field used (CVFF). For example, with the CFF91 force field, a short separation of 2.63 Å is calculated between the Glu119 oxygen and the 4-amino-DANA nitrogen when both groups are charged. However, very good agreement was obtained when Glu119 was neutral (4-amino-DANA nitrogen charged), 2.95 Å.
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Passaging of the virus in the presence of zanamivir selects for a mutant in which Glu119 is replaced by a glycine (McKim-Breshkin 2000). Structural analysis shows that a water molecule occupies the position of the missing carboxylate (Blick et al. 1995). This mutation, however, shows no significant effect on the binding of 4-amino-DANA. Replacement of a charged carboxylate with a neutral water molecule is unlikely to have such an insignificant effect on binding. It is more likely that the water molecule occupies the position of a neutral carboxyl oxygen. The environment of the carboxylate side chain of Glu119, however, does not indicate that it should be neutral, being flanked by the side chains of Arg118 and Arg156 (with which it forms a salt bridge, Fig. 2
). In addition, the ammonium group of 4N+-DANA might be expected to confer additional stabilization of charge, although, as a result of binding of the inhibitor, the carboxylate is no longer openly exposed to solvent, thereby removing the solvent stabilization of the charge. In any analysis of binding, there are two important requirements: An accurate geometry (especially of the ligand and its direct environment) and an accurate representation of the atomic charges. The analysis above indicates that a consistent representation of geometry and charges has Glu119 neutral. A neutral Glu119 has therefore been adopted for the binding analysis that follows.
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We have calculated inhibitor-binding energies through application of the following expression (Gilson and Honig 1988) and solving the Poisson-Boltzman equation to obtain solvation free energies,
![]() | (1) |
where
Gps is the partial desolvation energy of the ligand by the protein (
Gps, l), or partial desolvation energy of the protein by the ligand (
Gps, p), and
Gss is the solvent-screened interaction energy of the two molecules. Alternatively, the binding energy can be obtained from the more conventional expression,
![]() | (2) |
where
Gs is the desolvation energy of either the entire ligand (l), protein (p) or ligand-protein complex (c), and
Gel is the electrostatic interaction energy between ligand and protein partial charges. The binding energies from either method ought to be equivalent. The disadvantage of equation ii is that the ligand is not generally completely surrounded by the protein, and desolvating the protein or complex is a totally fictitious operation. Interpretation of these energies is therefore troublesome. The components of equation i, in contrast, have a clearer physical interpretation. These methods provide only the electrostatic component to the binding free energy; omission of the contribution of the nonelectrostatic energies may lead to nontrivial errors. In addition, errors in each of the components of the binding energy may not be insignificant. These calculations should, however, provide at least a semiquantitative analysis of the various components of the binding energy.
Binding energies have been calculated for each of the possible ionization states of the amine groups of the ligands. Binding energies, including each of the components in equation i and the ligand solvation energy and the electrostatic interaction energy from equation ii, are presented in Table 3
. At neutral pH the ionizable groups of the ligands in solution are likely to be in their standard state (i.e., amines are charged), and the binding energies of the neutral conjugates must be corrected for the reduced concentrations at equilibrium. For the mono-basic inhibitors (4N-DANA and 9N-DANA), the effective binding energy
Geff is given by
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![]() | (3) |
The ionization constants (Ka) for the DANA derivatives are not known. However, the acidity constant for amines does not vary greatly, and the significant separation from the carboxylate group in both cases should allow the use of the standard ionization constant for methylamine (pKa = 10.62; Albert and Sergeant, 1962) without incurring too large an error. Thus, at the pH in which the assay is performed (Holzer et al. 1993), pH = 5.5, the calculated binding free energy of 4N-DANA and 9N-DANA is reduced by 6.98 kcal mole-1 to give the effective binding free energy. The same correction can be applied to the 4N+,9N-DANA and 4N,9N+-DANA derivatives, whereas for 4N,9N-DANA a correction of 13.96 kcal mole-1 should be applied. The calculated effective binding energies are reported in Table 3
as well as the relative effective binding energies along with a comparison with experiment.
The calculated binding energies differ from the experimental values by >6 kcal mole-1. This must be, in part, because of the approximate nature of the calculations. Specifically, no attempt is made to account for the nonelectrostatic component of the binding energy. The salient features found experimentally are, however, reproduced by these calculations, viz., the binding affinity is reduced by the introduction of the 9-amino in both DANA and 4-amino-DANA
Perhaps the most surprising feature of Table 3
is that the electrostatic interaction energy
Gel is weaker for 4N+-DANA than it is for either 4N-DANA or DANA. In contrast,
Gss for 4N+-DANA is stronger than both DANA and 4N-DANA. The solvent-screened interaction energy increases as each of the amine groups is charged in complete contrast to
Gel. Moreover, the change in
Gel is roughly the same size (but of different sign) to
Gss when an amine is replaced with an ammonium at either the C4 or the C9 position. The relative binding energy for 4N+-DANA is similar to that obtained previously by an analogous procedure by Taylor and von Itzstein (TvI; Taylor and von Itzstein 1996). However, the individual components of the binding energies are very different. The use of different charges accounts for the absolute differences between the two calculations, but the relative differences also differ. Thus, in the TvI study, in which Glu119 was negatively charged, the electrostatic interaction energy was found to be greater for 4N+-DANA than it was for DANA by 40 kcal mole-1.
The desolvation energy of the ligand (
Gs,l) is considerably less for the 4-ammonium derivative than it is for DANA. Analysis of the binding energy using equation ii indicates that this is the major contribution to the stronger binding of 4N+-DANA, rather than a stronger interaction energy (
Gel) between ligand and protein. This is in stark contrast to the analysis provided by equation i, which shows that improved binding in 4N+-DANA is the result of a stronger interaction energy (
Gss), despite the greater partial-desolvation energy (
Gps,l) of the ligand.
A substantial contribution to the difference in binding energies between 4N+-DANA and 9N+-DANA arises from
Gss, 16 kcal mole-1, which is mirrored by the difference in
Gel. In comparison, however,
Gel is 27 kcal mole-1 smaller for 4N+,9N+-DANA than for DANA, whereas
Gss is significantly larger (40 kcal mole-1). It is clear that the major contributing factor to the poorer binding affinity of 4N+,9N+-DANA is the desolvation energy of the ligand, whether it be partial desolvation or total desolvation.
Replacement of a hydroxyl at either the C4 or C9 position with an amine has very little effect on either the partial or total desolvation energies. The partial desolvation energy increases by
11 kcal mole-1 when either of the amine groups is charged. There is a much larger change when the second amine is charged in both 4N+,9N-DANA and 4N,9N+-DANA (
20 kcal mole-1). The total desolvation energy does not reflect this type of change. Replacing the amine with an ammonium at the C4 position reduces the total solvation energy by 15 kcal mole-1. At the C9 position, the total solvation energy increases, but only slightly. However,
Gs,l is significantly larger with both amines charged than it is when either just one is charged or when both are neutral. The partial solvation energy of the protein does not vary significantly, although its influence on the final relative binding energies is not insignificant.
The calculated binding energy for DANA and 4N+-DANA when Glu119 is charged is +7.0 and -20.1 kcal mole-1, respectively. Thus, the 
Gbind calculated when Glu119 is charged is -27.1 kcal mole-1, differing from the experimental value by a massive 24.4 kcal mole-1.
In addition to hydrogen-bonding Glu276, the substituent at the C9 position is in close proximity to the positively charged Arg224 (4.06 Å from N
in 9-amino-DANA, and 3.90 Å from N
in 4,9-diammino-DANA), which must significantly influence the electrostatic potential in the vicinity of the positively charged ammonium moiety. In contrast, the hydroxyl at the C8 position, which also binds Glu276, is in close proximity to Glu277. Thus, the solvent screened interaction energy of 4N+,8N+-DANA calculated using the methods described here is -171.2 kcal mole-1, substantially greater than that of 4N+,9N+-DANA (-161.2 kcal mole-1). Despite this, the calculated binding energy is just -4.7 kcal mole-1, slightly better than 4N+,9N+-DANA but still less than that of 4N+-DANA. The greater solvent-screened interaction energy is offset by the larger ligand partial desolvation energy of 98.0 kcal mole-1. Thus, totally burying the charge at the C8 position requires considerably more effort than partial burial of the charge at the C9 position. In comparison,
Gs,l in 4N +,8N+- DANA is 160.6 kcal mole-1, comparable to that calculated for 4N+,9N+-DANA.
| Conclusions |
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| Materials and methods |
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Solvation electrostatic energies
Electrostatic potential energies were calculated using the DelPhi program (Molecular Simulations Inc.;Nicholls and Honig). Geometries were obtained following the molecular mechanics procedure outlined above. SIP atomic radii and charges (Smith and Hall 1998) were used for all atoms. CHELPG charges (Breneman and Wiberg 1990) were calculated for each inhibitor at the HF/631 +G(d) level, on the geometry obtained from the molecular mechanics minimization, using the GAUSSIAN 98 (Gaussian Inc.) quantum mechanical program. For protein residues, charges and radii were taken from the SIP data set for amino acids (Smith 1999). All water molecules were removed in these calculations. The ionic strength was set to zero and dielectric constant values of 1 and 78.54 were assumed for solutes and solvent, respectively. A grid of 201 x 201 x 201 points was used, yielding a grid resolution of 0.5 grid/Å. This maintained a solvent boundary of at least 10.0 Å around the protein.
| Acknowledgments |
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The publication costs of this article were defrayed in part by payment of page charges. This article must therefore be hereby marked "advertisement" in accordance with 18 USC section 1734 solely to indicate this fact.
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