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* Universidad Nacional de Quilmes, 1876 Bernal, Argentina;
Department of Science and Technology, Universidad Metropolitana, San Juan, Puerto Rico 00928-1150;
Departamento de Química, Universidad Nacional de la Patagonia SJB, Ciudad Universitaria, Argentina;
INIFTA, 1900 La Plata, Buenos Aires, Argentina; ¶ Laboratoire de Spectroscopie, Institut des Sciences et Ingénierie Chimiques, Faculté des Sciences de Base, Ecole Polytechnique Fédérale de Lausanne, Lausanne-Dorigny, CH-1015 Lausanne-Dorigny, Switzerland; and || Department of Chemistry, University of Puerto Rico, Mayagüez Campus, Mayagüez, Puerto Rico 00681-9019
Correspondence: Address reprint requests to Sebastián Fernandez-Alberti, E-mail: seba{at}unq.edu.ar.
| ABSTRACT |
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| INTRODUCTION |
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Proteins are not rigid, and considerable attention has been given to the role of structural fluctuations in the ligand-binding process (13
15
). Access of the ligand to the heme iron atom has been shown to be sensitive to the amino acids that comprise the heme pocket, the manner in which they interconnect, and the fluctuations they are heir to (16
). Moreover, the coupling between heme orientational dynamics and the protein environment has prompted thinking that the former may be used to indicate structural changes in the surrounding protein due to ligand dissociation (17
).
Analysis of structure-function relationships in nonvertebrate myoglobins and hemoglobins indicates that the ability to bind molecules other than O2 can be acquired by evolutionary adaptation (18
21
). Such is the case with the monomeric Hemoglobin I (HbI) (22
,23
) from the clam Lucina pectinata, which functions as a hydrogen sulfide transport protein (22
,24
26
). HbI has a high affinity for hydrogen sulfide (K = 2.9 x 106 M1), the HbI-SH2 association rate (kon) is the highest of the known hemoglobins, and its dissociation rate (koff) is the lowest (24
). Table 1 displays a summary of the kinetic and equilibrium constants for the reactions of HbI, FQF-mutant, and SW with oxygen and hydrogen sulfide.
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5000 times that for wild-type sperm whale (SW) myoglobin (Table 1). The HbI distal pocket has a glutamine at position 64(E7) rather than the histidine found in SW, HbI has Phe-29(B10) and Phe-68(E11) where SW has Leu and Val, respectively, and both have Phe-43(B9). Fig. 1 displays the distal pockets of a), L. pectinata HbI, and b), wild-type SW myoglobin. All else being structurally equal, the FQF triple mutation of SW, viz. His-64(E7)
Gln, Leu-29(B10)
Phe, Val-68(E11)
Phe should mimic the distal pocket of the HbI (28
700-fold higher sulfide affinity over wild-type SW; HbI still has sevenfold higher sulfide affinity than the FQF-mutant.
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We report here on molecular dynamics (MD) simulations of the three proteins, HbI, FQF-mutant, and SW, both unligated and with H2S bound, to explore the dynamical features of H2S affinity in each. A new set of parameters for the classical AMBER force field (30
) was developed to simulate the ferric heme-SH2 complex. Dynamical features examined included rigid body motion and relative orientation of the heme prosthetic group within the protein, hydrogen-bond formation between the heme propionate groups and nearby amino acid residues, and changes in the distal cavity volume. Our analysis reveals differences in behavior among the three systems and confirms the existence of a much greater heme orientational freedom in HbI than in the FQF-mutant or SW.
| METHODS |
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The model system used to obtain the missing AMBER parameters consisted of an imidazole (Im) ligand bound to a ferric iron-porphyrin (FeP) complex, trans to an H2S ligand. The iron-sulfur (Fe-S) bond parameters were obtained by fitting the stretching frequency from normal mode AMBER force field calculations to the experimental fundamental,
Fe-S = 374 cm1 (27
). The Fe-S-H and N(pyrrole)-Fe-S angles and the N(pyrrole)-Fe-S-H torsional parameters were obtained as follows: a), the structure of Im-FeP-SH2 was optimized in density functional theory (DFT) calculations; b), from the minimum energy geometry a set of structures was generated by varying the requisite angle in regular increments, and c), single point DFT energy calculations were carried out on each of these structures; d), MM nonbonding interactions were subtracted from the DFT energy values; and e), the resulting energy profiles were fit to the appropriate AMBER potential functional form (30
).
DFT calculations have been extensively applied to metalloproteins in general and to iron-porphyrin systems in particular (34
). The DFT calculations reported in this article have employed the BLYP density functional. BLYP consists of Becke's 1988 exchange functional (35
) and the correlation functional of Lee, Yang, and Parr (36
). The GAUSSIAN03 program (37
) was used for single-point energy calculations, and DMol3 (38
,39
), with polarized double-numerical (DNP) basis sets, was employed for the geometry optimizations. This level of theory has been successfully used to study Im-FeP-XO (X = C, N, O) systems (40
,41
). In this work the total electronic spin of the Im-FeP-SH2 system has been restricted to S = 1/2, and symmetry has not been imposed.
Electrostatic potential (ESP) derived charges for the system shown in Fig. 2 were obtained from single-point BLYP/6-31G* calculations and the Merz-Kollman scheme. Charges were derived for the whole system to ensure that the model would retain its biological relevance (32
). A spin state of S = 5/2 was imposed on the system without H2S, and S = 1/2 was used when the ligand was attached. Restricted ESP (RESP) charges (42
,43
) were obtained by imposing symmetry on equivalent atom types. The charge on the central iron was constrained to its original ESP charge value. Luthey-Schulten and co-workers (32
) have pointed out that this is a necessary condition to obtaining a consistent charge distribution on the heme prosthetic group.
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= 2.0 ps.
The SURFNET (46
) package was used to calculate the volume of the distal pocket. The program defines cavities by filling the empty regions in the interior of the molecule with gap spheres of variable radius. We chose a minimum radius for the gap spheres of 1.0 Å and a maximum of 3.0 Å. The spheres were then used to compute a three-dimensional density map, using a grid separation of 0.8 Å.
| RESULTS AND DISCUSSION |
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Table 3 shows selected results of BLYP/DNP optimization of the structure displayed in Fig. 2 and a comparison with the AMBER minimization. The newly derived parameter set reproduces the DFT geometry quite well. Note for example the behavior of the angle Fe-S-H. Although a value (Table 2) of 103.1° was obtained in fitting to the Im-FeP-SH2 model system, for the full system of Fig. 2 an angle of 98° was found, in good agreement with the QM result of 99°.
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between vz and the principal axis of the whole protein, VZ, sampled from MD simulations of the three unligated proteins. The orientational space explored by the heme spans ranges of
90°, 65°, and 38°, respectively, for unligated HbI, FQF-mutant, and SW. Fig. 6 presents projections of vz on the surface of a unit sphere. The radial axis is sin(
), and the circular angle axis displays the corresponding azimuthal angle
in the xy plane (perpendicular to VZ) from the x axis. Results are displayed from snapshots of MD simulations of a), HbI, b), H2S-HbI, c), FQF-mutant, d), H2S-FQF-mutant, e), SW, and f), H2S-SW. Comparison of the three proteins in the absence of H2S (Fig. 6, a, c, and e) reveals that the heme groups of HbI and FQF-mutant are more mobile than that of SW. These results are consistent with the hypothesis drawn from the experiment that, relative to other heme proteins, the heme group of unligated HbI enjoys a rocking freedom that could facilitate the binding of an incoming ligand (29
atom of the amide group of Gln-64(E7), pointing toward H2S (Fig. 1 a) in both HbI and FQF-mutant. In contrast Fig. 6, e and f, shows that the mobility of the SW heme group increases upon ligation, an indication that H2S does not interact strongly with apomyoglobin and may in fact act to shield the distal pocket residues from interaction with iron. To explore the capacity of His-64(E7) to stabilize H2S-SW by hydrogen bonding, the N
-H and N
-H histidine tautomers were examined. A weak hydrogen bond (15% occupancy) between the nonprotonated N
of the N
-H tautomer and hydrogen sulfide was detected, but no significant differences were observed that could represent a contribution to stabilization of the heme-hydrogen sulfide complex in SW.
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1 and
2 can be observed for HbI in its unligated state and with either H2S or H2O bound. The same can be said for the values among the different reported states of FQF-mutant. Therefore neither Phe-29(B10) nor Phe-68(E11) change their conformation during the MD simulations. However, both residues in FQF-mutant are significantly rotated about
2 relative to their positions in HbI (Fig. 7). The calculation of nonbonded interactions of Phe-29(B10) and Phe-68(E11) with the heme-H2S complex reveals that these residues stabilize the complex by
1 Kcal/mol and
5 Kcal/mol, respectively. Nevertheless no significant differences were observed due to the different orientations of both residues in HbI and FQF-mutant. A more accurate calculation of electrostatic interactions using all-electron DFT calculations may be required to distinguish the differences between the interactions.
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We have also analyzed the relative orientation of heme with respect to the proximal histidine His-F8. For this purpose a coordinate system was defined, the origin on NB (see Fig. 3) of the imidazole ring, and the z axis bisecting angle CV-NB-CR and directed toward heme. The unit vector, vhis, normal to the best least-squares plane through the four nitrogen atoms of the tetrapyrrole ring was calculated at intervals during each 1-ns simulation. Fig. 8 a shows plots of the polar angle,
his, the angle of vhis with the z axis, for unligated HbI, FQF-mutant, and SW. The distributions for FQF-mutant and SW are similar, whereas HbI is less tilted than these. However, the comparative widths of the distributions indicate that the differences in heme mobility seen in Fig. 6 are not related to changes in the tilt of heme with respect to the His-F8 imidazole ring. On the other hand significant differences are observed between the distributions of the corresponding azimuthal angles,
his, in the xy plane from the x axis (Fig. 8 b). The orientational space explored by the heme of unligated HbI spans a wider range than those of unligated FQF-mutant and SW.
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1, the torsion angle of His-F8 (Fig. 9 a), indicate that this residue is more flexible in unligated HbI than in FQF-mutant and SW. The root mean-square deviations of the position of His-F8 imidazole ring are 8.8, 9.2, and 7.7 Å for unligated HbI, FQF-mutant, and SW, respectively. Obviously, differences both in heme mobility with respect to His-F8 and in flexibility of the His-F8 side chain are implicated in the differences in the orientational space explored by the heme group (Fig. 6, a, c, and e). Finally we have analyzed differences in the capacity of the His-F8 imidazole to rotate with respect to the heme plane in the three proteins. Fig. 9 b displays a histogram of the N(pyrrole)-Fe-NB(His-F8)-CR(His-F8) dihedral sampled from MD simulations of the three unligated proteins. The orientational space explored by the His-F8 imidazole ring relative to the heme plane spans ranges of
100°, 95°, and 73°, respectively, in unligated HbI, FQF-mutant, and SW. Furthermore, whereas FQF-mutant and SW stabilize an eclipsed orientation of the His-F8 imidazole ring with respect to the nitrogens of the pyrrole rings, HbI displays a distribution with a maximum at
75°, corresponding to a more staggered orientation, and in good agreement with the 74° reported in the metaquo HbI crystal structure (26
70° for HbI and FQF-mutant whereas they increase to
95° for SW.
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Phe and Leu
Phe that occur in the SW
FQF mutations, results in a smaller FQF-mutant cavity volume, and the smaller distal pocket should be less accommodating for H2S. However, this effect is largely offset by additional hydrogen bond and multi-pole interactions with the ligand (45
10 and 48 Å3. Analysis of the configurations that contribute to each of the peaks reveals that those corresponding to the maximum at
10 Å3 feature short Phe-29-Phe-43 and Phe-29-Leu32 distances compared to those contributing to the maximum at
48 Å3. As a consequence the free volume of the distal pocket is partitioned into smaller cavities. Furthermore, in HbI expansion to large volumes is possible due to the opening of the Gln-64 gate, which was not observed in FQF-mutant and SW during the time interval studied.
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of the aromatic residues Phe-29(B10), Phe-68(E11), and Phe-43(CD1) in the crystal structures and those obtained in the MD simulations. In both unligated states and metaquo complexes, distances between FeIII and Phe-29(B10) and Phe-68(E11) in FQF-mutant are shorter than the corresponding distances in HbI. Nevertheless, Phe-43 is
1.2 Å closer in unligated HbI than in FQF-mutant. The motion of Phe-43 toward FeIII leads to collapse of the active site in HbI. This feature is not observed in unligated FQF-mutant. Fig. 11 a shows the distribution of the distance between FeIII and the center of mass of Phe-43(CD1), sampled from MD simulations of the unligated states of HbI and FQF-mutant. Despite its closer distance to the FeIII atom, higher flexibility is observed for this residue in unligated HbI than in FQF-mutant. The corresponding distributions for HbI:H2S and FQF-mutant:H2S adducts are displayed in Fig. 11 b. The motion of Phe-43(CD1) is markedly reduced in HbI when H2S is attached, and similar distributions are observed in HbI and FQF-mutant. Thus Fig. 11 b and the values obtained from the crystal structures of HbI:H2O and FQF-mutant:H2O (Table 5) indicate that the high mobility of Phe-43 is a property uniquely associated with the unligated state of HbI.
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-H of His-93(F8) forms a bifurcated hydrogen bond with the main-chain >C=O group of Leu-89(F4) and O
of Ser-92(F7). These residues form part of a hydrogen-bonding lattice extending from His-F8 to the heme-7-propionate and His-97 (Table 6). The conformation of the His-F8 imidazole appears to be tightly constrained by these interactions. As a result the plane of the imidazole eclipses the equatorial Fe-N(pyrrole) bonds. The absence of this extensive hydrogen-bonding lattice in HbI (Tables 6 and 7) leads to a more staggered conformation of the imidazole ring of His-F8 with respect to the pyrrole nitrogens (Fig. 9 b). Site-directed mutagenesis experiments have shown that replacement of Ser-92 with different nonpolar residues in pig myoglobin leads to increases in the ligand association equilibrium constants (54
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| CONCLUSIONS |
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The MD results also confirm the model proposed by Wittenberg and co-workers (25
,26
,47
) in which the carbonyl of distal glutamine stabilizes H2S-HbI with a hydrogen bond. This argument explained the low-dissociation constant and the high affinity of HbI for hydrogen sulfide (Table 1) as compared to the corresponding values for SW. In addition Phe-29(B10) and Phe-68(E11) were found to stabilize the heme-hydrogen sulfide complex by
1 Kcal/mol and
5 Kcal/mol, respectively. Nevertheless, no significant differences were observed due to the different orientations of both residues in HbI and FQF-mutant.
A rather flexible Gln-64(E7) was observed in unligated HbI. As previously pointed out by Bolognesi et al. (26
,47
), this result also contributes to explaining faster sulfide and oxygen association rate constants in HbI. Furthermore, a higher flexibility was also observed for Phe-43(CD1) in unligated HbI with respect to FQF-mutant and SW. The motion of this residue toward FeIII was shown to be influenced by the opening of the Gln-64(E7) gate.
The analysis of the relative orientation of heme with respect to proximal histidine, His-F8, finds that differences in heme mobility relative to His-F8 and in flexibility of the His-F8 side chain are more prominent in unligated HbI than in the FQF-mutant and SW. Moreover, HbI displays a different orientation of His-F8 and disruption of the hydrogen-bonding lattice that connects this residue with the heme-7-propionate. This feature is also associated with higher association rates for HbI compared to those for SW. Further contributions to the high H2S affinity of HbI arise from differences in the degree of hydrogen bonding between the heme propionate groups and nearby amino acid residues. The number and strength of these hydrogen bonds increases in passing from HbI to FQF-mutant and SW. Our results support a model in which the heme propionates of HbI are not tightly anchored to the polypeptide chain by hydrogen bonding.
The study presented here suggests that the mechanism of functional adaptation of HbI as a sulfide-reactive heme protein has taken place both through stabilization of the heme-SH2 adduct and through an increase in active-site flexibility of the unligated protein. The former contributes to a decrease in the HbI-hydrogen sulfide dissociation rate constant (koff), and the latter contributes to an increase in its association rate (kon). Because the HbI-hydrogen sulfide association rate is the highest of the known hemoglobins and its dissociation rate is the lowest, site-directed mutagenesis studies should be able to separate the effects. Sulfide-binding hemoglobins should provide good models for the study of functional adaptation through effects of mutations on dynamical properties.
| SUPPLEMENTARY MATERIAL |
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| ACKNOWLEDGEMENTS |
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Submitted on January 18, 2006; accepted for publication May 25, 2006.
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