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1 Cengent Therapeutics Inc., San Diego, California 92127, USA
2 Department of Infectious Diseases, Quest Diagnostics Inc., San Juan Capistrano, California 92690, USA
Reprint requests to: Mark D. Shenderovich, Cengent Therapeutics Inc., 10929 Technology Place, San Diego, CA 92127, USA; e-mail: marksh{at}cengent.com; fax: (858) 451-3828.
(RECEIVED January 8, 2003; FINAL REVISION April 18, 2003; ACCEPTED May 5, 2003)
Article and publication are at http://www.proteinscience.org/cgi/doi/10.1110/ps.0301103.
| Abstract |
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Ebind) of mutant versus WT complexes were correlated with the ratios of phenotypic 50% inhibitory concentration (IC50) values. The calculated
Ebind of five PIs showed significant correlations (R2 = 0.70.8) with IC50 ratios from the Virco Antivirogram assay, and the
Ebind of six PIs showed good correlation (R2 = 0.760.85) with IC50 ratios from the Virologic PhenoSense assay.
Ebind cutoffs corresponding to a four-fold increase in IC50 were used to define the structure-based phenotype as susceptible, resistant, or equivocal. Blind predictions for 78 PR variants gave overall agreement of 92% (kappa = 0.756) and 86% (kappa = 0.666) with PhenoSense and Antivirogram phenotypes, respectively. The structural phenotyping predicted drug resistance of clinical HIV-1 PR variants with an accuracy approaching that of frequently used cell-based phenotypic assays. Keywords: HIV protease inhibitors; drug resistance; molecular modeling; binding energy; structure-based phenotyping
Abbreviations: 3D, three-dimensional HIV-1, human immunodeficiency virus type 1 PR, protease PI, protease inhibitor APV, amprenavir IDV, indinavir LPV, lopinavir NFV, nelfinavir RTV, ritonavir SQV, saquinavir RT, reverse transcriptase FDA, U.S. Food and Drug Administration RMSD, root mean square deviation QSAR, quantitative structure-activity relationship WT, wild type
| Introduction |
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HIV-1 PR, a homodimer containing two identical 99 amino acid polypeptide chains, is a key enzyme involved in the catalysis of HIV protein cleavage in the viral replication cycle (Kohl et al. 1988). Processing by PR is essential for viral maturation and infectivity. Therefore, an intense effort has been made to rationally design and develop HIV-1 PIs (for review, see Wlodawer and Vondrasek 1998; Gulnik et al. 2000; Tomasselli and Heinrikson 2000). Six FDA-approved PIs (Fig. 1
) are currently in clinical use. However, the rapid emergence of resistant HIV-1 variants can result in therapeutic failure (Schinazi et al. 2000; Shafer 2002). Individual mutations and combinations of mutations at more than 20 PR codons are known to contribute to PI resistance (Hirsch et al. 2000), including amino acids directly involved in the inhibitor binding, as well as some residues located up to 20 Å apart from the inhibitor binding site. The structural determinants of resistance for some of the PR variants have been characterized by X-ray crystallography (Baldwin et al. 1995; Hong et al. 2000; Mahalingam et al. 2001; King et al. 2002).
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The present study tests the hypothesis that resistance to PIs results mainly from decreased inhibitor binding affinity to mutant PR variants, as was previously shown by inhibitor binding kinetics measurements for engineered PR variants containing known resistant mutations (Gulnik et al. 1995). We have further assumed that (1) mutant PRinhibitor complexes can be accurately modeled based on X-ray crystal structures of WT PR complexes, (2) changes in the binding affinity on mutation may be approximated as changes in calculated binding energy of PRinhibitor complexes, and (3) PI resistance may be predicted from a significant increase in the binding energy of an inhibitor with respect to the WT complex. We describe here a structural approach to predicting the resistance of HIV-1 PR mutants to the six FDA-approved PIs using molecular modeling of the PR complexes in order to calculate changes in the inhibitor binding energy to the mutant PR relative to the reference WT complex. In preliminary studies (Shenderovich et al. 2001a,b), we obtained statistically significant correlations between calculated and experimental values of binding energy of four FDA-approved inhibitors with engineered PR variants containing single and double amino acid mutations. In this study, we show that the changes in binding energy can be directly correlated to the fold changes in PI IC50 values measured in two commercially available phenotypic assays. We propose a model for a structural phenotyping resistance assay based on these correlations.
| Results |
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atoms and all heavy atoms, respectively, of the PR residues located within a 7.0 Å shell from the ligand. It is noteworthy that our model was built from an optimized crystal structure of the WT complex before the crystal structure of the mutant complex was published.
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atom RMSD = 0.46 Å. Our model of the mutant V82T/I84V PRIDV complex is also close to the WT complex (all C
atom RMSD = 0.42 Å). Furthermore, the crystal structure and our model of the mutant complex are reasonably close to each other: C
atom and all heavy atom RMSD is 0.5 and 0.75 Å, respectively, for residues located in a 7.0 Å shell around the ligand. Both crystal structure and the model predict similar positions of the ligand and conformations of the mutated side chains, and the calculated change in the binding energy (Table 1
Evaluation of resistance-related mutations for HIV-1 PIs
Statistically significant correlations between calculated and experimental binding energy were obtained in our preliminary studies (Shenderovich et al. 2001a,b) for four clinically available PIsAPV, IDV, RTV, and SQVin complex with genetically engineered PR variants. In the present study, we modeled complexes of six FDI-approved PIs (Fig. 1
) with PR variants containing known resistance-related mutations. The calculated changes in the main components of the binding energy are given in Table 1
in comparison with energy values estimated from experimental Ki or IC50 ratios. It may be noted that the computational mutagenesis procedure predicts significant change in the binding energy (
Ebind
1.5 kcal/mole) for the majority of known resistant single and double mutations: G48V for SQV; V82A for IDV and RTV; I84V in various combinations for SQV, NFV, IDV, RTV, and APV; and D30N for NFV. Furthermore, the most resistant mutations (>100-fold change in Ki values) can be reliably predicted by
Ebind values of
3.0 kcal/mole. For the majority of resistance-related single and double mutations, the increase in PI binding energy is due mainly to the van der Waals component of the binding energy function. Most of the conservative mutations in positions 50, 82, and 84 do not change significantly the ligand binding mode and structure of the complex, but only decrease the number of favorable van der Waals contacts between the ligand and the protein side chains. In particular, the crystal structure of IDV in complex with the mutant L63P/V82T/I84V PR (King et al. 2002) was similar to that of the WT PRIDV complex, whereas thermodynamic measurements showed a 2.5 kcal/mole loss in the binding enthalpy of the mutant complex. This is in good agreement with the increase in the binding energy due to the reduced van der Waals contacts of the mutant side chains predicted for the IDV complex with the V82T/I84V mutant PR (Table 1
). The noticeable exception is the complex of NFV with the mutant D30N PR, where substitution of neutral Asn for the charged Asp 30 that directly interacts with the m-phenol group of NFV weakens the hydrogen bonding and increases electrostatic components of the binding energy. More complex mutation patterns may cause significant changes in the 3D structure of the complex that leads to disruption of ligandPR hydrogen bonding (APV complex with a triple mutant and SQV complex with a quadruple mutant; see Table 1
). Only a combination of at least five mutations in residues close to the PR binding site causes a significant increase in the binding energy of the recently approved PI LPV (Table 1
). This is consistent with experimental findings that clinical isolates resistant to LPV display complex mutational patterns involving positions 46, 47, and 84 (Carrillo et al. 1998).
Using the computational mutagenesis procedure, we calculated the binding energy profiles of each PI for the set of single, double, and triple mutations that were described in the literature (Gulnik et al. 1995; Markowitz et al. 1995; Maschera et al. 1996; Pazhanisamy et al. 1996; Klabe et al. 1998; Markland et al. 2000). The profiles for SQV and APV shown in Figure 3
represent the histograms of calculated
Ebind ranked by increasing binding energy. The right shoulders of these profiles contain potentially resistant mutations. We assumed that
Ebind = 2.0 kcal/mole was a reliable threshold for resistance prediction from the binding energy profiles. The bars exceeding this threshold are colored gray in the histograms in Figure 3
; the most resistant mutations (
Ebind
3.0 kcal/mole) are shown in black. Black bars in the binding energy profile of SQV correspond to PR variants containing the G48V mutation, known to cause a high resistance to SQV (Maschera et al. 1996). Other potentially resistant variants (gray bars in Fig. 3A
) contain mutations I84V and I50V. The latter mutation is known to cause resistance to APV (Pazhanisamy et al. 1996) but not to SQV. Indeed, mutation I50V, either alone or in combination with substitutions in positions 10, 46, or 47, comprised the most resistant variants in the binding energy profile of APV with
Ebind
3.0 kcal/mole (Fig. 3B
). Nonetheless, mutation I50V causes a 20-fold increase in the Ki value for SQV (Pazhanisamy et al. 1996; Markland et al. 2000), which is in good agreement with the calculated
Ebind of about 2.0 kcal/mole (Table 1
, Fig. 3A
). The quadruple mutant (M46I/G48V/I50V/I84L) that combines single-residue mutations determining resistance to both inhibitors appears to be highly resistant to SQV but sensitive or only slightly resistant to APV (
Ebind = 3.8 and 0.9 kcal/mole for SQV and APV, respectively), which is consistent with the experimental observations (Markland et al. 2000). The model of the quadruple mutant complex with APV did not deviate significantly from the model of the WT complex (RMSD of 0.4 Å for heavy atoms of the ligand and binding site residues). Accommodation of the bulkier Leu 84 side chain in complex with APV resulted in tighter ligand packing in the vicinity of Val 50 and Pro 81. These small conformational rearrangements, together with favorable van der Waals interactions of APV with the Val 48 side chains, almost compensate for the ligandprotein van der Waals interactions lost because of the I50V mutation. Superposition of 3D models of the WT and the quadruple mutant PR in complex with SQV is shown in Figure 4
. Conformational changes in the quadruple mutant complex with SQV were similar to those caused by the single G48V mutation (see Fig. 2
) with similar displacements of the SQV quinoline ring. The RMSD of the ligand heavy atoms in both mutants is 0.4 Å compared with the RMSD of 0.7 Å between the ligand positions in WT and quadruple mutant models. However, additional mutations in positions 46 and 50 result in a more significant displacement of the flap residues: RMSD = 0.66 Å between C
atoms of flap residues 46 to 54 in the single G48V mutant and the quadruple mutant complexes. Furthermore, the simultaneous substitution of bulkier residues in positions 46 and 48 may cause a rotamer transition of the Phe 53 side chain in the PR chain A from
1
-60° to
1
60° (Fig. 4
). In this case, unfavorable van der Waals interactions of the Val 48 side chains, combined with the losses in hydrogen bonding and electrostatic energy due to conformational changes in the complex, resulted in a high increase in binding energy consistent with the 300-fold increase in Ki (Markland et al. 2000).
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Ebind distributions and calculated the cutoffs c1 and c2 for semiquantitative prediction of susceptibility and resistance, as described in Materials and Methods (Fig. 6
kappa
0.907, P < 0.0001) were obtained for this training set of 65 PR variants with six PIs. The same structural cutoff values were then applied to Virco Antivirogram data and were able to predict phenotypic resistance to five of six PIs with a high degree of concordance (79% sensitivity, 88% specificity; 0.561
kappa
0.743, P < 0.0001). Good concordance between structural prediction and Antivirogram phenotype was not obtained for APV (50% sensitivity, 87% specificity; kappa = 0.367). For the Antivirogram assay, phenotypic changes in APV resistance also showed the poorest correlation with the calculated binding energies (see earlier).
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| Discussion |
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This study is based on the assumption that PI resistance is primarily determined by a reduction in binding affinity of PIs to mutant PR. This implies that mutations in the PR substrate cleft and in the flap regions are the major factors determining resistance to PIs. The influence of these mutations on affinity of PIs has been intensively investigated by site-directed mutagenesis and enzyme kinetic studies (Gulnik et al. 1995; Markowitz et al. 1995; Maschera et al. 1996; Pazhanisamy et al. 1996; Klabe et al. 1998), which showed significant increases in Ki for PR variants with known resistant mutations.
A second assumption of this study was that the changes in binding affinity might be accurately reproduced by changes in calculated binding energy of PRinhibitor complexes. Previously we obtained statistically significant correlations with R2 ranging from 0.69 to 0.81 between changes in experimental binding affinities derived from Ki ratios and calculated binding energies for complexes of four PIs with PR variants containing primary resistance mutations (Shenderovich et al. 2001a). It should be noted that in these studies we did not attempt to develop a QSAR procedure to evaluate and compare binding energies of different PIs. We developed a computational procedure that calculated relatively small changes in the binding energy on PR side chain substitutions in reference WT PRinhibitor complexes derived from respective crystal structures. The binding energy function that included nonweighted van der Waals, hydrogen bonding, side-chain entropy, and electrostatic Coulomb and solvation terms (Schapira et al. 1999; Shenderovich et al. 2001b) was able to identify resistance mutations by a significant increase in binding energy. The primary resistance mutations (G48V for SQV, V82A for IDV and RTV, I50V for APV, D30N for NFV) caused more than a 1.5-kcal/mole increase in the binding energy of the respective PIs (Shenderovich et al. 2001b), whereas a strong (>100-fold) resistance could usually be predicted by more than a 3.0 kcal/mole increase in binding energy.
The majority of resistance-related mutations are conservative substitutions among hydrophobic side chains (Val, Ile, Leu, Met, Ala) that do not change the structure of the complex significantly, but modify van der Waals interactions between the ligand and the side chains of the PR active site. Respectively, changes in the binding affinity of PIs on resistance-related single and double mutations are mostly explained by changes in the van der Waals component of the binding energy (see Table 1
). These calculations were able to predict both additive and differential effects of combined primary mutations on the resistance to different PIs. For example, the binding energy profile for IDV (not shown) predicts about 1.0 and 1.5 kcal/mole increases in the binding energy for single mutations V82T and I84V, respectively. A combination of two point mutations results in an additive 2.4 kcal/mole increase in binding energy of IDV (Table 1
), which is consistent with the 2.5 kcal/mole increase in the binding enthalpy observed for a PR variant containing V82T/I84V mutations (King et al. 2002). Such additivity often appears when the WT side chains are substituted with less bulky ones and the structure of the mutant complex does not change significantly. On the other hand, a combination of the G48V mutation, which was highly resistant to SQV (Maschera et al. 1996), with the I50V mutation, which was highly resistant to APV and moderately resistant to SQV (Pazhanisamy et al. 1996), resulted in the quadruple mutant, M46I/G48V/I50V/I84L, which was highly resistant to SQV but, surprisingly, sensitive to APV (Markland et al. 2000). This effect was correctly reproduced by computational mutagenesis (see Results).
Generally, accumulation of several resistance-related active site and flap region mutations may cause significant structural changes of mutant PRinhibitor complexes, which result in a partial disruption of the hydrogen bond network between the ligand and protein, as reflected in the increased hydrogen bonding component of the binding energy function. This is the case for the quadruple mutant complex with SQV and for the triple M46I/I47V/I50V mutant complex with APV (see Table 1
). On the other hand, except for rare mutations that involve charged and polar residues located close to the active site (Arg 8, Asp 30, and Asn 88), Coulomb and electrostatic solvation components do not make significant contributions to changes in binding energy of mutant complexes. This is probably due to the specific structure of PRinhibitor complexes, with a ligand completely buried between the mostly hydrophobic residues of the PR binding cleft and the flap loops (Wlodawer and Vondrasek 1998).
The presence of a deep, well-defined binding pocket, the prevalence of van der Waals and hydrogen bonding ligandprotein interactions, and the availability of numerous crystal structures that can be used both as templates and as benchmarks have made HIV-1 PR complexes a common target for molecular modeling and docking simulations. Quantitative structureactivity relationship studies based on various binding energy functions have been generally successful in obtaining significant correlation equations for a series of structurally related PIs (Holloway et al. 1995; Perez et al. 1998; Nair et al. 2002), but have had a limited predictive power for a more diverse set of inhibitors or for mutant PR variants. Successful attempts have been made to calculate binding free energies of PR substrates and inhibitors using molecular dynamics simulations and thermodynamic cycle calculations with empirical binding energy functions (Dominy and Brooks III 1999; McCarric and Kollman 1999). Although these methods supply relatively accurate binding energies, they are impractical for the routine screening of multiple PR variants against commercially available drugs. Molecular modeling of mutant PRinhibitor complexes based on the crystal structures of WT complexes and evaluation of changes in the binding energy of mutant versus WT complexes using molecular mechanics binding energy functions were performed by Weber and Harrison (1999). They obtained significant correlations (R = 0.79 and 0.68 for SQV and IDV, respectively) between changes in binding energy and binding affinity calculated from Ki ratios for SQV and IDV complexes with nine single and double mutant PR variants. In our preliminary study (Shenderovich et al. 2001a, b), we modeled IDV and SQV complexes with 17 and 18 PR variants, respectively (including mutations studied by Weber and Harrison), and obtained stronger correlations between changes in binding energy and in binding affinity (R = 0.79 and 0.84, respectively). We also obtained significant correlations (R = 0.90) for two other commercial PIs, RTV and APV.
An attempt to predict HIV-1 PR resistance to five FDA-approved PIs using a complex binding energy function and a simplified molecular modeling approach was recently published by Wang and Kollman (2001). They calculated residue contributions (
Gres) to the binding free energy of WT complexes, and used a product of
Gres and residue variability to predict resistance of single residue mutations to five PIs. Mutant PRinhibitor complexes were not modeled, and therefore any conformational changes that could influence binding energy were neglected. The residue contributions calculated for WT sequences neglected the nature of mutant residues and underestimated the consequences of substitution of a bulky side chain for a smaller one. In particular, this study failed to predict resistance of the G48V mutant PR to SQV. As was shown earlier, introduction of Val 48 in the PRSQV complex causes significant steric strain that is accompanied by conformational changes in the complex. These effects could not be predicted by considering interactions of the parent Gly 48 residues only.
The primary aim of this study was to develop a relatively simple computational procedure for rapid discrimination between resistant and sensitive PR variants. A typical set of clinical PR variants included 20% to 30% of phenotypically resistant PRinhibitor complexes that might undergo significant structural changes with respect to the WT complexes. Accumulation of multiple resistance-related mutations that may differentially affect binding modes of various ligands is often the case for clinical PR variants that emerge under therapeutic regimens involving multiple PIs. The total number of amino acids mutated with respect to a consensus WT sequence may amount to up to 20 for each of two 99 amino acid chains of the homodimeric HIV PR, and some clinical PR variants may contain more than 10 side-chain substitutions in the vicinity of the inhibitor binding site. Evaluation of structural and energetic effects of multiple mutations required the development of a stepwise computational procedure, which first introduces and locally optimizes all side-chain substitutions, gradually moving from the mutations closest to the ligand toward the periphery of the protein, and then minimizes the molecular mechanics energy of the complex over a flexible ligand and protein amino acids in the vicinity of the ligand. The minimization shell around the ligand (see Materials and Methods) should be large enough to include all mutations that may directly or indirectly influence ligand binding, but should be relatively narrow to avoid significant deviations from the WT complexes derived from the crystallographic coordinates. The computational protocol was separately optimized for each PI to get the best correlations between calculated and experimental binding energy for the training set totaling 127 PR variants obtained from clinical HIV-1. Furthermore, in the preliminary study (Shenderovich et al. 2001a,b), we found that optimization of the crystal structures of WT complexes that involved a Monte Carlo search and energy minimization (see Materials and Methods) was necessary to achieve significant correlation between experimental and calculated changes in binding energies. Modifications introduced in nonrefined crystallographic structures usually did not reproduce experimental changes in binding energies estimated from Ki ratios for engineered single and double mutant PR variants.
The computational mutagenesis procedure developed in this study was able to reproduce changes in binding affinity of clinical PR variants, as shown by statistically significant correlations between calculated changes in binding energy and experimental measurements of drug resistance. We obtained good overall correlation (R2 = 0.76) between calculated changes in binding energy and experimental measures of phenotypic resistance (ViroLogic PhenoSense assay), with a standard error corresponding to only a 2.5-fold change in resistance, comparable with the standard error of cell-based phenotypic assays. This level of accuracy resulted in well-separated distributions of
Ebind that were used to determine binding energy cutoffs for phenotypically sensitive and resistant PR variants, allowing the qualitative classification of clinical isolates as susceptible or resistant to the six FDA-approved PIs, with a small number of equivocal assignments.
The remarkable concordance between the structural predictions and the measured resistance in two different cell-based assays indicates that changes in inhibitor binding affinity indeed explain most of the observed PI resistance, as was hypothesized. The failure to predict the phenotypic resistance in some cases may have been caused, in part, by mutations such as L90M (61% and 79% of the false negative calls for SQV and NFV, respectively) that do not greatly alter inhibitor binding affinity but may cause resistance by other mechanisms, such as decreasing the PR dimer stability (Xie et al. 1999; Hong et al. 2000). More than 40% of the predictions that were discordant with phenotype were nevertheless concordant with genotypic rules-based predictions of resistance or susceptibility. The inherent variability of cell-based phenotyping may be responsible for some of these variations. The differences in phenotypic technologies may also produce different results in a small number of cases (Qari et al. 2002). Structural predictions were complicated in some cases by the presence of multiple viral quasi-species encoding more than one amino acid variant at several PR codons that occasionally resulted in significantly different resistance predictions between these variants. In such cases, we arbitrarily selected the variant with the highest calculated
Ebind for our blind predictions, which was not always the variant in closest agreement with the experimentally measured phenotypic resistance.
Conclusions
We have developed a computational protocol for molecular modeling and binding energy evaluation for the WT and mutant PRinhibitor complexes, and a structure-based approach for the prediction of resistance of clinical HIV-1 PR variants to PIs. The computational mutagenesis procedure accurately reproduced the changes in 3D structure of mutant PRinhibitor complexes and correctly predicted mutations in the PR binding site and flap region that produce HIV-1 variants resistant to particular PIs. Applied to clinical HIV variants with multiple mutations, the procedure resulted in statistically significant correlations between calculated changes in the inhibitor binding energies and fold changes in inhibitor IC50 values determined in experimental phenotypic assays. These correlations were used to define the binding energy cutoff values for semiquantitative prediction of HIV variants sensitive or resistant to each PI.
Our structure-based resistance predictions performed as well as the commercially available cell-based assays in categorizing viral variants as resistant or susceptible to PI inhibitors. The structure-based predictions may offer an alternative to rules-based genotyping for current PIs, and may be used as a rapid resistance prediction method for new PIs, for which genotypic rules are not yet known. The availability of a large database of clinical sequences and PR structures (the VARIOME database; Maggio and Ramnarayan 2001) can also enable investigators to perform rapid in silico screening of drugs under development to estimate the frequencies of resistant variants in the patient population. The structural phenotyping technology may be useful in prediction of probable resistance mutation patterns for prospective antiretroviral drug candidates prior to expensive clinical trials, and for selection of those drug candidates that are predicted to be most effective against viral variants resistant to the currently available drugs (Maggio et al. 2002). The computational mutagenesis technology may be extended to inhibitors of other viral and bacterial proteins, in which structure of the complex may be determined by X-ray crystallography or molecular modeling, and high variability of the target protein sequence is an issue for development of effective drugs. The similar approach may be applied for design and interpretation of site-directed mutagenesis studies of ligand interactions with protein targets of known 3D structure, and for design of ligands that would show selective affinities to protein targets with homologous active site structures.
| Materials and methods |
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Molecular modeling and Monte Carlo simulations were performed using the ICM program, version 2.7 (Abagyan et al. 1994; MolSoft 1999), with the ECEPP/3 force field (Némethy et al. 1992). A regularization procedure (Maiorov and Abagyan 1998) was used to obtain relaxed structures of WT complexes with the standard ECEPP/3 amino acids and heavy atom RMSD of
0.5 Å from the crystal structures. Water molecules located in a 7.0 Å shell around the ligand were retained in the regularized complexes. A single "flap" water molecule (Wlodawer and Vondrasek 1998) was placed into the binding site of the PRLPV complex. In order to find the optimal positions of ligands in the PR binding site with the force field used, Monte Carlo simulations with Minimization (Abagyan and Totrov 1994) were performed starting from the regularized crystal structures. Translational and rotational degrees of freedom, and single bond torsion angles of the ligand, as well as
torsion angles of PR side chains located within 7.0 Å of any ligand atom were randomly perturbed during the Monte Carlo simulation steps. Movement of water molecules was allowed during the minimization. Proteinligand interaction (binding) energies were calculated for the conformations accepted at 1000 K, and conformations with the lowest binding energies were selected as temporary models of the WT complex.
Modeling of mutant HIV-1 PRinhibitor complexes
Modeling of mutant complexes was performed in two steps: (1) a search for an optimal conformation of each mutated side chain, and (2) optimization of the positions of the ligand and water molecules and conformations of the protein residues located near the binding site. The list of amino acid mutations was defined by alignment of the WT and mutant sequences. Individual mutations were introduced simultaneously in the two PR chains in the order of increasing distance from the mutated residues to the ligand. Initial conformation of a mutant side chain was "inherited" as much as possible from the WT side chain; that is, values of common
torsion angles (like
1 angled of all non-ß-branched residues) were assigned to the mutant side chain. A systematic search procedure (MolSoft 1999) was applied to
torsion angles not common for the WT and mutant side chains, which generated all combinations of three rotamers (±60° and 180°) for the torsion angles involved, minimized energy of each combination, and selected the lowest-energy conformation. The minimization involved all
angles of the side chains located in a 5.0 Å shell (see following) around the mutant residue. After the local optimization for individual mutations, energy minimization was performed for a substructure involving the ligand, surrounding protein residues, and water molecules. The energy function used for the final minimization included ECEPP/3 van der Waals, hydrogen bonding and torsion potentials (Némethy et al. 1992), electrostatic potentials with a distance-dependent dielectric
= 4.0rij, side-chain entropy, and atomic solvation energy (Abagyan and Totrov 1994). Molecular variables of the mutant complex included (1) translation and rotation variables and all torsion angles of the ligand; (2) backbone and side-chain torsion angles of PR residues that had at least one atom within a distance
R1 from any atom of the ligand (shell R1); (3) all torsion angles of PR residues that had at least one atom within a distance R2 from any atom of the mutated residues included in the shell R1 (shell R2); (4) translation and rotation variables of water molecules within shells R1 and R2. The radius R1 of the shell surrounding the ligand was set to 7.0 or 8.0 Å. The radii R2 of the secondary shells, which were included to relax the surroundings of mutated residues located at the periphery of the ligand-binding site, were varied between 0 and 5.0 Å.
The binding energies of PRinhibitor complexes
Binding energies were estimated (Schapira et al. 1999, Shenderovich et al. 2001b) as
![]() | (1) |
where E0 is an adjustable constant, Ecompl is the energy of the complex, and Eligand and Eprot are the energies of the ligand and protein when separated. The components of the binding energy were calculated using the following energy function:
![]() | (2) |
where Eel is the exact-boundary electrostatics (Totrov and Abagyan 2001) that includes a Coulomb term and electrostatic solvation energy calculated with a dielectric constant
= 8.0 (Schapira et al. 1999), Es is the side-chain entropy (Abagyan and Totrov 1994), and Evw and Ehb are the ECEPP/3 van der Waals and hydrogen-bonding terms.
For mutant PRinhibitor complexes with known dissociation constants Ki, correlations between changes in the calculated binding energy
![]() | (3) |
and in the experimental estimate of binding free energy
![]() | (4) |
were established by linear regression analysis (Shenderovich et al. 2001a). For clinical HIV-1 isolates, ratios of IC50 measured in cell-based phenotypic assays (Hertogs et al. 1998; Petropoulos et al. 2000), were used to calculate a surrogate of experimental binding energies
![]() | (5) |
For clinical HIV isolates containing a mixture of PR variants, separate
Ebind values were calculated for all essential PR variants, and either the maximum or the best-fit individual
Ebind(calc) value was used for correlation with experimental phenotypes.
Genotypic and phenotypic determinations
HIV-1 RNA was extracted from clinical samples submitted for RT and PR genotype determination to Quest Diagnostics Inc. or from 50 samples obtained from the California Collaborative Treatment Group 570 study (Haubrich et al. 2001) and genotyped at Quest Diagnostics Inc. The entire PR and the first 400 codons of RT were amplified by RT PCR and sequenced on an ABI 3700 capillary sequencer. Sequenced variants were aligned to an HIV-1 subtype B consensus sequence, and amino acid changes relative to the reference sequence were identified and tabulated. Genotypic resistance predictions were performed with the Quest-Diagnostics rules-based algorithm, an updated version of a published algorithm (Baxter et al. 2000). For the determination of the fold changes in IC50 values of six PIs, plasma samples were submitted for phenotypic resistance assays to ViroLogic Inc. (PhenoSense assay, http://www.ViroLogic.com) or to Tibotec-Virco (Antivirogram assay, http://www.tibotec-virco.com).
Structure-based resistance predictions
In order to define semiquantitative binding energy cutoffs for resistance predictions, the phenotypic data set for 65 clinical isolates (Virologic PhenoSense) was divided into sensitive (less than four-fold increase in phenotypic IC50) and resistant (four-fold or higher increase in phenotypic IC50) groups for each PI, and mean
Ebind values and their standard deviations were calculated for all sensitive and resistant groups. The
Ebind cutoff c1 defining susceptibility to each PI was set at two standard deviations above the mean of the group of samples sensitive to the respective PIs (Fig. 5
). The cutoff c2 defining resistance was set at one standard deviation (1.5 S.D. for LPV) below the mean for the group of samples resistant to the respective PIs (Fig. 6
). Cases of c1
Ebind
c2 were considered equivocal. Inter-rater agreement between categorical resistance and susceptibility assignments was evaluated by the Kappa statistic (Fleiss 1981).
| 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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