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Biophys J, June 2002, p. 3207-3213, Vol. 82, No. 6

Influence of the Environment in the Conformation of alpha -Helices Studied by Protein Database Search and Molecular Dynamics Simulations

Mireia Olivella,* Xavier Deupi,* Cedric Govaerts,dagger Dagger and Leonardo Pardo*

 *Laboratori de Medicina Computacional, Unitat de Bioestadística, Facultat de Medicina, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain;  dagger Institut de Recherche Interdisciplinaire en Biologie Humaine et Nucléaire, Université Libre de Bruxelles, Campus Erasme, B-1070 Bruxelles, Belgium; and  Dagger Service de Conformation des Macromolécules Biologiques, Université Libre de Bruxelles, 1050 Bruxelles, Belgium


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS AND DISCUSSION
CONCLUSIONS
REFERENCES

The influence of the solvent on the main-chain conformation (phi  and Psi  dihedral angles) of alpha -helices has been studied by complementary approaches. A first approach consisted in surveying crystal structures of both soluble and membrane proteins. The residues of analysis were further classified as exposed to either the water (polar solvent) or the lipid (apolar solvent) environment or buried to the core of the protein (intermediate polarity). The statistical results show that the more polar the environment, the lower the value of phi i and the higher the value of Psi i are. The intrahelical hydrogen bond distance increases in water-exposed residues due to the additional hydrogen bond between the peptide carbonyl oxygen and the aqueous environment. A second approach involved nanosecond molecular dynamics simulations of poly-Ala alpha -helices in environments of different polarity: water to mimic hydrophilic environments that can form hydrogen bonds with the peptide carbonyl oxygen and methane to mimic hydrophobic environments without this hydrogen bond capabilities. These simulations reproduce similar effects in phi  and Psi  angles and intrahelical hydrogen bond distance and angle as observed in the protein survey analysis. The magnitude of the intrahelical hydrogen bond in the methane environment is stronger than in the water environment, suggesting that alpha -helices in membrane-embedded proteins are less flexible than in soluble proteins. There is a remarkable coincidence between the phi  and Psi  angles obtained in the analysis of residues exposed to the lipid in membrane proteins and the results from computer simulations in methane, which suggests that this simulation protocol properly mimic the lipidic cell membrane and reproduce several structural characteristics of membrane-embedded proteins. Finally, we have compared the phi  and Psi  torsional angles of Pro kinks in membrane protein crystal structures and in computer simulations.


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS AND DISCUSSION
CONCLUSIONS
REFERENCES

alpha -Helices are major structural elements in both soluble and membrane proteins (Fasman, 1989; White and Wimley, 1999). The stability of alpha -helices is basically achieved by the hydrogen bonds between the NH atoms of residue i to the carbonyl oxygen of residue i - 4 in the preceding turn of the helix. Importantly, in transmembrane proteins, the formation of this hydrogen bond network allows the polar polypeptide backbone to expand the hydrophobic lipid bilayer of the cell membrane. Thus, the helical bundle motif frequently builds the three-dimensional structure of membrane proteins along with the beta -barrel motif also observed in membrane-spanning proteins (White and Wimley, 1999).

An early statistical analysis of the conformation of alpha -helices in crystal structures of mostly soluble proteins (Barlow and Thornton, 1988) showed average main-chain torsion phi  and Psi  angles of -62° and -41°, respectively. However, additional hydrogen bonds between the peptide carbonyl oxygen to a solvent molecule (Blundell et al., 1983) or to a protein side-chain (Ballesteros et al., 2000) produce a significant change in phi  and Psi  angles and in the curvature of the helix. Thus, it seems reasonable to assume that the conformation of alpha -helices located in hydrophilic environments, such as water, will differ from the conformation of alpha -helices located in hydrophobic environments, such as the cell membrane.

To assess the influence of the environment on the conformation of alpha -helices, complementary approaches were used in this study. A first approach consisted in surveying known protein structures. The results are presented for crystal structures of both soluble and membrane proteins. Despite the limited availability of membrane protein structures in the Brookhaven protein data bank (PDB), the significant increase in the number of deposited structures during the last years yields to an acceptable number of transmembrane helices for statistical analysis. Moreover, the residues of analysis are further classified as exposed, to either the water or the lipid environment, or buried to the core of the protein. A second approach involved nanosecond molecular dynamics simulations of poly-Ala alpha -helices in environments of different polarity: water and methane. The main-chain phi  and Psi  torsional angles and intrahelical hydrogen bond parameters obtained in the analysis of protein crystal structures are compared with those obtained in computer simulations. Moreover, we have compared the phi  and Psi  torsional angles of Pro kinks in membrane protein crystal structures and in computer simulations.


    MATERIALS AND METHODS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS AND DISCUSSION
CONCLUSIONS
REFERENCES

Membrane protein structures

The atomic coordinates of bacteriorhodopsin (PDB access number 1c3w, 1.55-Å resolution), aa3 (1occ, 2.8 Å), and ba3 (1ehk, 2.4 Å) cytochrome c oxidases, photosyntethic reaction center (1prc, 2.3 Å), potassium channel (1bl8, 3.2 Å), mechanosensitive ion channel (1msl, 3.5 Å), rhodopsin (1f88, 2.8 Å), halorhodopsin (1el2, 1.8 Å), sensory rhodopsin (1h68, 2.1 Å), light harvesting complex (1lgh, 2.4 Å), photosystem I (1jbo, 2.5 Å), AQP1 (1hwo, 3.7 Å), and GlpF (1fx8, 2.2 Å) channels, P-type ATPasa (1eul, 2.6 Å), and fumerate reductase respiratory complex (1qla, 2.2 Å) were obtained from the Brookhaven PDB. The coordinates of the residues in the HELIX annotation of the PDB files, corresponding to transmembrane helices 1-7 of 1c3w; 2-3, 7, 9, 12, 14-15, 19-20, 23, 28-30, 32-35, 41, 54, 59-60, and 63-66 of 1occ; 1, 3-9, 13-14, 16, 18-19, and 22 of 1ehk; 6, 8-10, and 13-14 of 1prc; 1 and 3 of 1bl8; 2-4 of 1msl; 1-7 of 1f88; 1-6, 8-9, 13-14, and 16 of 1e12; 1-8 of 1h68; 2 and 5 of 1lgh; 4, 8, 10, 16, 20, 27, 34-36, 40, 44, 48, 53, 57, 59, 68, 71, 77, 80, 85, 94, 103, 105, 109, 113, and 115-116 of 1jbo; 1 of 1hwo; 1-6, 9, 11-12, and 15 of 1fx8; 2, 4-5, 10-12, 15-16, 20, 25, 28, 31, 36, 38, and 41-43 of 1eul; and 1, 13, 16-20, 22, 25, 28, 29, 32, 26, 38, 40-41, 43-44, 47-48, and 81 of 1qla, were extracted for analysis. This results in a total of 160 transmembrane helices. These helices were split into amino acid stretches of 12 residues long with 1) Ala (349 structures) or 2) Pro (27 structures) at the eighth position. Stretches with other Pro residues in the sequence were removed from the database.

Soluble protein structures

Iditis 3.1 (Oxford Molecular, Oxford, U.K.) was used for the selection of protein structures in the Brookhaven PDB. The chosen alpha -helices possess: 1) a resolution of 2.0 Å or better; 2) 12 residues length with Ala at the eighth position; and 3) no Pro residues in the sequence. If two alpha -helical segments have more than 80% sequence identity (if 10 or more than 10 residues of 12 are identical) only the structure with best resolution was considered.

Accessible surface

The accessible surface of the residues in the survey of protein crystal structures at the fourth (i - 4) and the eighth (i) positions, was obtained with the Naccess program (Hubbart and Thornton, 1993). The sum of the accessible surface of residues i and i - 4 was used to classify the helices as exposed (>60) or buried (<40). These cutoffs were chosen by visual inspection of the crystal structures. The structures between these values could not be visually assigned to either group and were not included in the analysis.

Molecular dynamics simulations

The model peptides Ace-Ala25-Nme and Ace-Ala12-Pro-Ala12-Nme were built in the standard alpha -helical conformation (backbone dihedral angles phi  and Psi  of -58 and -47°) using the SYBYL 6.5 program (Tripos Inc., St. Louis, MO). The Ace-Ala25-Nme structure was placed in a rectangular box containing 808 water or 1532 methane molecules, and the Ace-Ala12-Pro-Ala12-Nme structure was placed in a rectangular box containing 1689 methane molecules. The sizes of the boxes were approximately 52 × 23 × 23 Å for the alpha -helix in water, and 60 × 36 × 36 Å for the alpha -helices in methane, resulting in a density of 1.0 g cm-3 and 0.5 g cm-3, respectively. It is important to note that the density of the methane box is not the density observed in the hydrophobic core of the membrane (White and Wimley, 1999). This is due to the different equilibrium distance between carbons in the methane box and in the polycarbon chain of the lipid. The density of the methane box was chosen to equal the first peak of the radial distribution function for the H4C··CH4 distance obtained in the molecular dynamics simulations with the interatomic distance between two methane molecules obtained by full geometry optimization with ab initio quantum mechanical calculations at the MP2/6-31G** level of theory (Fig. 1 a). An increase of the density of the methane box leads to short contacts between molecules and thus extreme behavior of the system.



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FIGURE 1   (a) Radial distribution function for the H4C··CH4 distance (Å) obtained in molecular dynamics simulations of methane and the structure of H4C··CH4 obtained by full geometry optimization with ab initio quantum mechanical calculations at the MP2/6-31G** level of theory. (b) Distribution of the energy of interaction (kcal/mol) between the NH atoms of residue i and the carbonyl group of residue i - 4 obtained from the molecular dynamics simulations of a poly-Ala alpha -helix in water (circles, solid line) and methane (triangles, broken line). (c) Radial distribution function for the distance (Å) between the peptide carbonyl oxygen and the oxygen of the water molecules obtained in the molecular dynamics simulations of a poly-Ala alpha -helix in water.

Initially, the atoms of the model peptides were kept fixed, whereas the solvent molecules were energy minimized (500 steps), heated (from 0-300 K in 15 ps), and equilibrated (from 15-50 ps). Subsequently, the entire system was subjected to 500 iterations of energy minimization and then heated to 300 K in 15 ps. This was followed by an equilibration period (15-500 ps for Ace-Ala25-Nme, and from 15-1000 ps for Ace-Ala12-Pro-Ala12-Nme) and a production run (from 500-1000 ps for Ace-Ala25-Nme, and from 1000-1500 ps for Ace-Ala12-Pro-Ala12-Nme) at constant volume using the particle mesh Ewald method to evaluate electrostatic interactions (Darden et al., 1993). The equilibration time was chosen so that root mean square deviations relative to the first structure in the simulations remained constant (results not shown). The longer equilibration period of the Pro-containing structure is necessary to account for the flexibility of Pro kinks. Structures were collected for analysis every 0.5 ps during the last 500 ps of simulation (1000 structures). The energy of interaction between the NH atoms of residue 13 and the carbonyl group of residue 9 was calculated with the Anal program of AMBER 5 (Case et al., 1997). The molecular dynamics simulations were run with the Sander module of AMBER 5, the all-atom force field (Cornell et al., 1995), SHAKE bond constraints in all bonds, a 2-fs integration time step, and constant temperature of 300 K coupled to a heat bath.

Statistical analysis

One-way analysis of variance for independent samples plus a posteriori one-sided Tukey's test was used for contrasting the backbone torsion angles at position 8 (phi i and Psi i) and intrahelical hydrogen bond distance (Ni··Oi-4) and angle (Ni··Oi-4 = Ci-4) between residues in soluble proteins that are exposed to the hydrophilic aqueous solvent, in membrane proteins that are exposed to the hydrophobic lipid bilayer, and in both soluble and membrane proteins that are exposed to the core of the protein. Averages and standard deviations of phi i, Psi i, Ni··Oi-4, and Ni··Oi-4 = Ci-4 obtained in the molecular dynamics simulations were calculated from all the geometries in the production phase. The data obtained in molecular dynamics simulations are not independent, thus it is not possible to perform statistical tests as in the protein survey analysis. The statistical analysis was performed with the SPSS 10 program (SPSS Inc. Chicago, IL).


    RESULTS AND DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS AND DISCUSSION
CONCLUSIONS
REFERENCES

Survey of helices in known protein structures

Table 1 summarizes the means and standard deviations for the backbone torsion angles of the residue at position 8 (phi i and Psi i), populated by Ala, of alpha -helices (see Materials and Methods) in soluble proteins that are exposed to the hydrophilic aqueous solvent (SOLhydrophilic, 252 entries), in membrane proteins that are exposed to the hydrophobic lipid bilayer (MEMhydrophobic, 97 entries), and in both soluble and membrane proteins that are exposed to the core of the protein (SOL-MEMcore, 510 entries). It has recently been proposed that, in contrast to previous hypothesis, the hydrophobicities of interior residues of both membrane and water-soluble proteins are comparable (Rees and Eisenberg, 2000; Stevens and Arkin, 1999). In consequence, the residues of alpha -helices pointing toward the core of soluble and membrane proteins have been grouped (SOL-MEMcore). Thus, the expected rank order of hydrophobicity, from hydrophobic to hydrophilic, of the environment to which the analyzed residues are exposed is: MEMhydrophobic > SOL-MEMcore > SOLhydrophilic. Besides, phi  and Psi  angles vary depending on both side-chain type and side-chain conformation (Ballesteros et al., 2000; Chakrabarti and Pal, 1998). We limited the survey to alanine to avoid any direct or indirect effect of the side-chain in the conformation of the helix. In addition, Ala is the most helix-favoring residue in water (O'Neil and DeGrado, 1990), and it has one of the lowest turn propensities in transmembrane helices (Monne et al., 1999). Ala was favored over Gly because the lack of side chain in Gly provides additional flexibility (Kumar and Bansal, 1998). As shown in Table 1, the values of the backbone phi i dihedral are found in the following rank order: MEMhydrophobic (-61.8°) > SOL-MEMcore (-62.9°) > SOLhydrophilic (-63.5°). Thus, there is a positive correlation between hydrophobicity and phi i: the more hydrophobic the environment, the higher the value of phi i is. The values of the backbone Psi i dihedral are found in the following rank order: MEMhydrophobic (-43.1°) < SOL-MEMcore (-41.6°) < SOLhydrophilic (-40.9°). Thus, in the case of Psi i the correlation is negative: the more hydrophobic the environment, the lower the value of Psi i is. It is important to remark that the difference between the conformation of an alpha -helix exposed to either the hydrophilic aqueous solvent or the hydrophobic lipid bilayer is in average 1.7° for phi i and 2.2° for Psi i. These differences in phi i (p = 0.016) and Psi i (p = 0.003) are significant from a statistical point of view (see Materials and Methods). However, there are not statistical differences in phi i and Psi i between SOL-MEMcore and MEMhydrophobic or between SOL-MEMcore and SOLhydrophilic. Considering the small amplitudes of the difference, the influence of the lipidic or aqueous environment in the conformation of the alpha -helix will only be noticeable for long helices. The deviation between C-terminal positions of helices constructed with the phi i and Psi i angles reported in Table 1 for SOLhydrophilic (-63.5° and -40.9°) and MEMhydrophobic (-61.8° and -43.1°), is 0.9 Å or 1.4 Å or 1.7 Å if helices 20 or 25 or 30 residues long are considered, respectively.


                              
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TABLE 1   Means/standard deviations of the backbone torsion angles (phi i and psi i, in degrees) of the residue at the eighth position (denoted as i) in the survey of alpha -helices containing Ala in protein crystal structures or at the 13th position (denoted as i) in the molecular dynamics simulations of poly-Ala alpha -helix, intrahelical hydrogen bond distance (Ni · · Oi-4, in Å), and angle (Ni · · Oi-4 = Ci-4, in degrees) between the N atom of residue i to the carbonyl of residue i - 4, the energy of interaction between the N-H atoms of residue i and the carbonyl group of residue i - 4 (E(Ni · · Oi-4 = Ci-4), in kcal/mol), and the intermolecular hydrogen bond distance (Owat · · Oi-4, in Å) and angle (Owat · · Oi-4 = Ci-4, in degrees) between the peptide carbonyl oxygen and the oxygen of the water molecules obtained in the molecular dynamics simulations of the poly-Ala alpha -helix in water

Table 1 also shows the means and standard deviations of the intrahelical hydrogen bond distance Ni··Oi-4, and angle Ni··Oi-4 = Ci-4. The Ni··Oi-4 distance increases as the environment becomes more hydrophilic: MEMhydrophobic (2.96 Å) > SOL-MEMcore (2.98 Å) > SOLhydrophilic (3.04 Å). There are statistical differences between SOLhydrophilic and both SOL-MEMcore (p < 0.0005) and MEMhydrophobic (p < 0.0005). Clearly, the additional hydrogen bond between the peptide carbonyl oxygen to a solvent molecule, in water-exposed residues (SOLhydrophilic), increases the intrahelical hydrogen bond distance. Correspondingly, the Ni··Oi-4 = Ci-4 angle decreases in linearity in water exposed residues: MEMhydrophobic (153.5°) > SOL-MEMcore (153.3°) > SOLhydrophilic (151.5°). Similarly to the Ni··Oi-4 hydrogen bond distance, there are statistical differences between SOLhydrophilic and both SOL-MEMcore (p = 0.001) and MEMhydrophobic (p = 0.025). Following the argument put forward by Blundell et al. (1983), the presence of a second hydrogen bond donor (i.e., a solvent molecule: Owat) to the peptide carbonyl oxygen tends to bifurcate the Ni··Oi-4 = Ci-4 and the Owat··Oi-4 = Ci-4 angles toward 120° (see below).

Molecular dynamics simulations of poly-Ala alpha -helices

We have performed nanosecond molecular dynamics simulations of poly-Ala alpha -helices (see Materials and Methods) in two different environments: water to mimic hydrophilic environments that can form hydrogen bonds with the peptide carbonyl oxygen of the alpha -helix and methane to mimic hydrophobic environments without this hydrogen bond capabilities. Table 1 shows the obtained values of phi i and Psi i and the intrahelical hydrogen bond parameters Ni··Oi-4 and Ni··Oi-4 = Ci-4 (in which i denotes residue number 13 in the poly-Ala alpha -helix). Notably, the effect of the environment observed in molecular dynamics simulations is the same in both magnitude and direction as the observed in the protein survey analysis. The polar environment formed by the water molecules tends to decrease phi i (-61.2° vs. -65.9°), increase Psi i (-44.1° vs. -39.3°), increase Ni··Oi-4 (2.93 Å vs. 3.10 Å), and decrease Ni··Oi-4 = Ci-4 (154.4° vs. 148.9°), relative to the apolar environment formed by the methane molecules. Thus, the presence or the absence of additional hydrogen bonds from the environment to the peptide carbonyl oxygen modifies the conformation of alpha -helices.

It is important to note that there is a remarkable coincidence between the values obtained in the analysis of exposed residues in membrane proteins (MEMhydrophobic) and the results from computer simulations in the methane environment (phi i: -61.8° vs.-61.2°; Psi i: -43.1° vs. -44.1°; Ni··Oi-4: 2.96 Å vs. 2.93 Å; Ni··Oi-4 = Ci-4: 153.5° vs. 154.4°; see Table 1). Thus, we suggest, based on this analysis, that explicit methane molecules in molecular dynamics simulations properly mimic the lipidic cell membrane and reproduce several structural characteristics of membrane-embedded proteins.

The fact that the intrahelical hydrogen bond distance (Ni··Oi-4) in water (3.10 Å) is longer than in methane (2.93 Å) suggests that this hydrogen bond in water is weaker than in methane. To corroborate this hypothesis we have calculated the mean and standard deviation (Table 1) and the distribution (Fig. 1 b) of the energy of interaction between the NH atoms of residue i and the carbonyl group of residue i - 4 obtained from the molecular dynamics simulations in water (circles, solid line) and methane (triangles, broken line). The magnitude of the intrahelical hydrogen bond in water is smaller than in methane (-1.1 vs. -1.5 kcal/mol). The formation of a second hydrogen bond between the peptide carbonyl oxygen and the aqueous solvent enfeebles the intrahelical hydrogen bond that stabilize alpha -helices. This destabilization of the intrahelical hydrogen bond in water suggests that alpha -helices are more flexible in polar environments. The larger standard deviation (Table 1) of the dihedral angles that define the conformation of the helix, phi i (10.0° vs. 8.3°) and Psi i (9.7° vs. 8.5°), in water than in methane reinforces this proposal. However, it is important to note that the standard deviations of phi i and Psi i in the protein survey analysis of exposed soluble and membrane proteins do not follow this trend. We attribute this to the different number of structures in each category and the better resolution of soluble proteins compared with membrane proteins.

Fig. 1 c shows the radial distribution function for the distance between the peptide carbonyl oxygen and the oxygen of the water molecules obtained in the molecular dynamics simulations of a poly-Ala alpha -helix in water. The first peak in the distribution occurs at distances up to 3.3 Å, which implies an explicit hydrogen bond between the carbonyl oxygen of the alpha -helix and water. To characterize the geometric parameters of this hydrogen bond (Owat··Oi-4 and Owat··Oi-4 = Ci-4), we selected the bound water molecules (Owat··Oi-4 < 3.3 Å) to the carbonyl oxygen from the 1000 structures computed during the last 500 ps of simulation (see Materials and Methods) for statistical analysis. Fig. 2 shows a representative structure of the interaction between the water molecule and the carbonyl group that occurs at a Owat··Oi-4 distance of 2.94 Å and at a Owat··Oi-4 = Ci-4 angle of 116.6° (see Table 1). The electronic nature of the carbonyl oxygen allows the formation of a hydrogen bond with both the NH group of the residue in the following turn of the helix and a water molecule.



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FIGURE 2   Representative structure obtained in the molecular dynamics simulations of the poly-Ala alpha -helices in water (see Materials and Methods). Distances (Å) and angles (degrees) are shown relative to the heavy atoms.

Structural analysis of Pro-containing alpha -helices in hydrophobic environments

Pro induce distorsion in alpha -helices as their cyclic side-chains introduce a local break, denoted Pro kink, to avoid a steric clash between the pyrrolidine ring and the carbonyl oxygen of residue i - 4 (Barlow and Thornton, 1988; Milner-White et al., 1992; Sankararamakrishnan and Vishveshwara, 1992; Von Heijne, 1991). Pro kinks impart backbone flexibility, due to the absence of the hydrogen bond with the carbonyl oxygen in the preceding turn of the helix. This structural flexibility is an important functional element in membrane proteins that transduce extracellular signals across the membrane through conformational changes in the transmembrane alpha -helices (Gether et al., 1997; Govaerts et al., 2001a; Ri et al., 1999; Sansom and Weinstein, 2000). We have studied the main-chain phi  and Psi  torsional angles of Pro kinks in membrane protein crystal structures and in computer simulations. Pro kinks alter the conformation of a complete turn of the helix, from the Pro residue i to i - 4. Thus, the phi  and Psi  angles of all these residues must be taken into account in the conformational analysis. In the protein survey analysis some of these residues forming the Pro kink will be exposed to the lipidic membrane and others to the core of the protein. In contrast, in the molecular dynamics simulation all these residues will be exposed to the hydrophobic environment made of methane molecules. Moreover, we have searched for Pro kinks with the xxxxP sequence in the crystal structures, where x is any residue except Pro, whereas we have run the AAAAP sequence in the molecular dynamics simulation (see Materials and Methods). Therefore, some divergences between crystal structures and computer simulations are expected due to the effect of the environment and the different residues forming the Pro kink. However, the effect of the environment (see above and Table 1) and the type of residue (Ballesteros et al., 2000; Chakrabarti and Pal, 1998) in the phi  and Psi  torsional angles are much lower than the influence of the Pro residue in the conformation of the helix (Fig. 3). Fig. 3 shows the evolution of phi  (squares) and Psi  (circles) torsional angles along the alpha -helix as observed during the molecular dynamics simulations (black line) and in the crystal structures of membrane proteins (broken line). The helical distortion induced by the Pro residue is clearly seen at the level of the dihedral angles up to residue four positions upstream. Clearly the simulation in the methane environment reproduces the dihedral angles profile of the Pro kink observed in the analysis of crystal structures (see Table 2), indicating that the methane box can reliably reproduce the conformational behavior of helical deformations as well.



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FIGURE 3   Mean values of the phi  (squares) and Psi  (circles) torsional angles (degrees) along the alpha -helix containing the Pro kink as observed during the molecular dynamics simulations (black line) and in the crystal structures of membrane proteins (broken line). The x axis shows the sequence of the helix in the molecular dynamics simulations (top) and in the membrane protein survey (bottom). A, Ala; P, Pro; X, any residue except Pro.


                              
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TABLE 2   Means/standard deviations of the backbone torsion angles (phi  and psi , in degrees) of alpha -helices containing Pro in membrane crystal structures (27 entries) or in molecular dynamics simulations of Pro-containing alpha -helix in a methane environment (1000 entries)


    CONCLUSIONS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS AND DISCUSSION
CONCLUSIONS
REFERENCES

The influence of the environment in the conformation of alpha -helices has been studied by surveying crystal structures of both soluble and membrane proteins and by molecular dynamics simulations of poly-Ala alpha -helices in water and methane. The results of both approaches show that polar environments tend to decrease phi i and increase Psi i, relative to hydrophobic environments. Thus, there is a significant change in the conformation of the alpha -helix depending whether the peptide bond is exposed to bulk water or to the lipidic membrane. This effect is produced by an additional hydrogen bond between the peptide carbonyl oxygen to a water molecule (Blundell et al., 1983), which is not possible in membrane-embedded alpha -helices. Moreover, the participation of the carbonyl oxygen in the hydrogen bond with both the NH group of the residue in the following turn of the helix and the water molecule increases the intramolecular Ni··Oi-4 hydrogen bond distance and decreases the Ni··Oi-4 = Ci-4 angle. The fact that the intrahelical hydrogen bond in apolar environments is stronger suggests that alpha -helices in membrane-embedded proteins are more rigid than in soluble proteins. However, conformational changes in the transmembrane alpha -helices are necessary to transduce extracellular signals across the membrane (Sansom and Weinstein, 2000). Thus, membrane proteins incorporate in the sequence of their transmembrane helices specific residues like Pro, Gly, Ser, and Thr (Senes et al., 2000), which add flexibility and assist in the conformational change (Ballesteros et al., 2000; Gether et al., 1997; Govaerts et al., 2001a; Palczewski et al., 2000; Ri et al., 1999). Notably, in soluble proteins, these residues are mostly located in loop regions and acts as helix breaker (O'Neil and DeGrado, 1990).

Membrane proteins are particularly difficult to crystallize, yielding to only a few available structures (White and Wimley, 1999). Thus, molecular dynamics simulations are becoming a powerful tool to study the structure and dynamics of membrane proteins (Forrest and Sansom, 2000). We have observed a remarkable coincidence between the phi  and Psi  angles obtained in the analysis of residues exposed to the lipid in membrane proteins and the results from computer simulations in methane. Thus, the simulation technique described here, where the membrane environment is replaced by explicit methane molecules, is a fast and reliable method that appears to reproduce several important characteristics of membrane-embedded proteins. Similar procedure has been recently used to mimic the membrane in molecular dynamics simulations of the potassium channel (Åqvist and Luzhkov, 2000). This approach is therefore well suited to study, in a reasonable amount of time, conformational arrangements and dynamic behavior of membrane proteins, and study the structural effects of specific mutations in their transmembrane domain (Govaerts et al., 2001b).

    ACKNOWLEDGMENTS

This work was supported in part by grants from CICYT (SAF99-073), Fundació La Marató TV3 (0014/97), and the Improving Human Potential of the European Community (HPRI-CT-1999-00071). Computer facilities were provided by the Center de Computació i Comunicacions de Catalunya.

    FOOTNOTES

.

Address reprint requests to Dr. Leonardo Pardo, Laboratori de Medicina Computacional, Unitat de Bioestadística, Facultat de Medicina, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain. Tel.: 3493-581-2797; Fax: 3493-581-2344; E-mail: leonardo.pardo{at}uab.es.

Submitted July 19, 2001, and accepted for publication February 28, 2002.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS AND DISCUSSION
CONCLUSIONS
REFERENCES

Biophys J, June 2002, p. 3207-3213, Vol. 82, No. 6
© 2002 by the Biophysical Society   0006-3495/02/06/3207/07  $2.00



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