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* Molecular Neurobiology Group, MRC Center for Developmental Neurobiology, King's College London, New Hunt's House, Guy's Campus, London SE1 1UL, UK; and
Mathematical Biology Division, National Institute for Medical Research, The Ridgeway, Mill Hill, London NW7 1AA, UK
Correspondence: Address reprint requests to Franca Fraternali, Fax: +44 (0)208 906 4477; E-mail: ffranca{at}nimr.mrc.ac.uk.
| ABSTRACT |
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| INTRODUCTION |
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The enigmatic properties of sphingolipids were noted by their discoverer, who named them in honor of The Sphinx (Thudicum, 1884
). Sphingolipids and their metabolites are involved in many vital biological processes including differentiation, cellular senescence, apoptosis, and proliferation (Ohanian and Ohanian, 2001
). They consist of long-chain amino alcohols (sphingosine or dihydrosphingosine) linked by an amide bond to a fatty acid (Fig. 1). They have several properties that distinguish them from the common glycerophospholipids (Brown, 1998
). One is the fact that they can be glycosylated. This modification provides great structural diversity used in cell and pathogen recognition (Campbell et al., 2001
) and a potential for an extensive hydrogen-bonding network above the cell surface, linking together glycosphingolipids and other components of rafts such as the carbohydrate chain of GPI-anchors (Boggs, 1987
).
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We therefore decided to simulate the stability of different conformations of PSM in water and to analyze their hydrogen-bonding capacity. The behavior of PSM within a bilayer has subsequently been addressed.
| METHODS |
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The bilayer starting assembly was generated by modifying the equilibrated dipalmitoylphosphatidylcholine (DPPC) bilayer downloaded from the database at http://indigo1.biop.ox.ac.uk/tieleman/download.html (file "lipid.itp"). Three different force fields were examined.
Although the SPC model has been preferred because of its more accurate chemical potential (Tieleman and Berendsen, 1996
; Marrink et al., 1998
), the tighter lipid-packing density provided by the SPC/E model proved instructive regarding the effect of packing density upon hydrogen-bond formation in a bilayer, and has been included here. For the sake of clarity the differences between the nonbonded parameters among the three force fields are reported in Table 1.
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Long-range interactions were treated with a twin-range cutoff, set to 2.0 nm for the electrostatic interactions and 1.0 nm for the van der Waals interactions.
Trajectories were computed on a PC Linux cluster. The optimal computational speed was obtained with four processors connected by a message-passing interface. The single PSM molecule was simulated in explicit water at 288 K up to 3 ns with the FF1 parameters. The PSM bilayer was simulated at 325 K for 8 ns with FF1, FF2, and FF3.
The bonded and nonbonded energies (Coulombic and van der Waals interactions) of each sphingomyelin conformer were computed by analyzing the last 0.5 ns of each trajectory.
Lifetimes and donor-acceptor distances of the hydrogen bonds were estimated by averaging the results of three different trajectories with different starting configurations. Hydrogen bonds were detected by analyzing the trajectories with the program g_hbond of the GROMACS software (Berendsen et al., 1995
). A proton-acceptor distance cutoff of 0.25 nm and a hydrogen-acceptor-donor angle cutoff of ±90 degrees were used for defining the hydrogen bonds (Baker and Hubbard, 1984
). The lifetime of a hydrogen bond was computed by summing up all the hydrogen-bond occurrences throughout the simulation time. Analysis programs were written for assessing water-bridged hydrogen bonds.
Bilayer equilibration
A PSM bilayer formed by 128 lipids and 3400 water molecules was equilibrated (68 wt.% fraction water). A high degree of hydration is expected to better reproduce a biological membrane (Tieleman and Berendsen, 1996
). The bilayer was simulated at 325 K to reproduce a liquid crystalline phase (Bar et al., 1997
). There was a drift in box size and potential energy during the first 0.3 ns of simulation. This first part of the trajectory was discarded for all the subsequent time-averaged computations. After this initial drift the box size remained constant and the area per lipid group was 56.5 ± 0.1 Å2 with FF1 parameters; 57.3 ± 0.1 Å2 with FF2 parameters; and 59.9 ± 0.1 Å2 with FF3 parameters.
| RESULTS AND DISCUSSION |
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We analyzed the data to determine the hydrogen-bond lifetimes and geometries of the individual PSM conformations (Table 2) and their nonbonded energies together with the proper dihedral energies (Table 3). The other components of the bonded energies (angle, improper dihedrals) showed <3% difference between the different conformers, with very large standard deviations, and are not shown. Only one PSM conformer (conformer A), in which the phosphate esteric oxygen O1 was coordinated with the OH group, remained almost completely stable throughout the 3-ns simulation (Table 2). The dynamics of the hydrogen bonds of conformations A, C, and G were different. The hydrogen bond between the NH group and the oxygen O1 (in conformations C and G) broke and reformed several times during the trajectory. The hydrogen bond between the NH group and the oxygen O1 of conformer G was formed for 25% of the simulation, breaking and reforming 110 times over 3 ns. On the other hand, the hydrogen bond between the OH group and the oxygen O1 (conformer A) broke only five times over 3 ns and stayed formed for 99.6% of the simulation time.
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6) wherever it occurred (conformers A, EG; Table 2). The intramolecular hydrogen bond formed by O1 with the NH group was longer (2.4Å) and formed a five-atom cycle (Table 2), with a dihedral energy particularly favorable (Table 3). When the NH moiety was hydrogen-bonded with the phosphate anionic oxygen (conformations D and E) or with the phosphate esteric oxygen O''1 (conformation B), calculated lifetimes were much shorter (Table 2). Adopting the force field FF3 did not change the conformation lifetimes. Intramolecular and intermolecular (with water) Coulombic interactions contributed nearly equally to the total nonbonding energy of all seven conformers; Lennard-Jones interactions were <4% of the total, suggesting very little interaction between the two lipid chains of sphingomyelin in water. The least stable conformer (E) had the highest energy by a considerable margin (85 kJ/mole), but the small variations in computed energies of the other conformations (all six fell within 72 kJ/mole) did not directly correlate with their relative stability (compare Tables 2 and 3).
The energy values reported refer to the entire molecule, not just for the intramolecular hydrogen bonds that define each conformer; contributions from the rest of the molecule and especially variability in its interactions with water result in a high variation in the energy values (note the high standard deviations) and somewhat mask the contribution of the intramolecular hydrogen bonds. However, some trends are evident.
The importance of water as a competing hydrogen-bonding partner can be seen in the two conformers (D, E) that have the least favorable energetic interaction with water (Table 2). For each conformer, sequestering the phosphate anionic oxygens in an intramolecular interaction is at the expense of a hydrogen bond formed with the surrounding network of water molecules. The analysis showed that the phosphate anionic oxygens of conformer D had, on average, 1.7 hydrogen-bonded water molecules during the conformer lifetime. This number increased to 2.6 when the hydrogen bond between the NH group and the anionic oxygen was disrupted. Conformer E behaved similarly: the number of water molecules hydrogen bonded to the phosphate anionic oxygens increased from 1.0 to an average of 2.3 after disruption of the intramolecular hydrogen bond. In contrast, in the other conformers (which did not involve bonding an anionic oxygen intramolecularly to the NH group) formation of intramolecular hydrogen bonds did not alter the number of bonds formed with water.
Intermolecular bonding to water, along with intramolecular Lennard-Jones interactions, appeared also to dominate the energy profile of conformer B, which has intermediate stability (lifetime 0.61 ns; Table 2). In this conformer the NH group hydrogen bonds to the phosphate esteric oxygen O''1; formation of a second hydrogen bond between the OH group and esteric oxygen O1 produces conformer F with a much shorter half-life probably due to the unfavorable dihedral potential (Table 3).
To obtain a further insight into the energetically favored conformers of sphingomyelin in water, we analyzed the last 0.5 ns of the single molecule trajectories. Inasmuch as the seven trajectories started from different initial conformers they could probe the energy landscape better than a single trajectory. The time evolution of the nonbonded energy of the different conformers is shown in Fig. 2. Occasionally during the simulated time some of the hydrogen bonds characteristic of the starting conformer were broken and hydrogen bonds typical of other conformers were formed for short time intervals. The hydrogen bond between the OH group and the phosphate esteric oxygen O1 (conformer A in Fig. 1) was present throughout the final 0.5 ns of all trajectories even if the interaction was not present in the starting configuration. The nonbonded energies for the five trajectories starting from conformers BF showed several recognizable minima along their time course (Fig. 2). The conformers belonging to these transient minima were isolated from the trajectory and the intramolecular hydrogen bonds analyzed. Minima that presented a conformer different to the starting conformer are circled in Fig. 2. A new conformer (G*) was found in the minimum belonging to the trajectory that started from conformer E. This new conformer is characterized by the simultaneous presence of three hydrogen bonds: two found in conformer G (NH and OH group coordinated to the oxygen O1) and the third was the one typical of conformer B (NH group coordinated to oxygen O''1). The hydrogen bonds angles and donor-acceptor distances for the three intramolecular hydrogen bonds of G* were identical to the geometries of conformer B and G (Table 2). The almost ubiquitous presence of conformer A within the minima further suggests that the intramolecular hydrogen bond between the sphingosine OH and the oxygen O1 is the one of the dominant noncovalent interactions of PSM.
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| SPHINGOMYELIN BILAYER |
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Order parameters of the lipid tails were computed from the trajectory and compared to experimental values determined by NMR on deuterated sphingolipids (Fig. 4). The deuterium order parameters profiles of the n-palmitoyl chain reproduce well, with all the three sets of parameters, the experimental values determined for the corresponding positions of n-stearoyl chain of galactosyl ceramide (Morrow et al., 1993
) in fluid phase. Our results for the deuterium order parameters at position 2 next to the headgroup falls within the experimental range of 0.180.24 determined for small n-alkyl chains within lipid aggregates (Pope et al., 1984
; Seelig and Niederberger, 1974
; Söderman et al., 1988
). The largest differences were found for the first three atoms closest to the water-bilayer interface for which the simulated order values were lower than the experimental values (Fig. 4). A similar difference in order parameters was seen in MD simulations of a DPPC bilayer (Tieleman and Berendsen, 1996
), possibly because NMR does not measure the same instantaneous order parameters that are obtained from simulations (Petrache et al., 1999
). Subtle deficiencies in the hydrocarbon chain potential and/or long time-scale "wobble" motions could also contribute to the observed differences (Tu et al., 1995
).
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The parameters that describe the simulated bilayer thickness (Table 4) agree well with the experimental results (Maulik et al., 1986
; Maulik and Shipley, 1996
). The interfacial width, which is defined as the distance over which the water density drops from 90% to 10% of the bulk value, was evaluated after bilayer equilibration. Its thickness was 1.0 nm for FF1 and FF2 and 1.1 nm with FF3 parameters, in agreement with value found for DPPC bilayers (Tieleman and Berendsen, 1996
). The magnitude of this parameter suggests that water can penetrate into the bilayer to reach the OH and NH functional groups. The possible insertion of water molecules in the hydrogen bonds was therefore taken into account when analyzing the trajectories.
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Although the difference in physical dimensions of the bilayer measured after simulations using the different sets of parameters were relatively modest (Table 4), the increasingly lower packing density found on progressing from FF1 to FF3 produced a major difference in the involvement of the OH group in intermolecular hydrogen bonding, and thus on the extent of the hydrogen-bonded network created. During the last nanosecond of simulation with FF3 parameters, 118 out of 128 lipids involved their OH group in an intramolecular hydrogen bond (conformer A) and only six formed intermolecular hydrogen bonds via this group acting as proton donor (Fig. 5, B and C). In contrast, the number of lipids adopting conformation A over the last nanosecond of simulation was only 88 ± 2 with the FF1 parameters, but the number forming intermolecular hydrogen bonds directly with other PSM molecules was 29, and 52 ± 3 if the insertion of water was taken into account (Fig. 7 B). The FF2 parameters gave rise to an intermediate behavior inasmuch as the number of lipids adopting conformation A was the same as with FF1 (88 ± 1) but only 22 intermolecular hydrogen bonds were directly formed by the OH group acting as a proton donor. This number increased to 35 ± 4 if bridging by a water molecule was taken into account.
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A detailed analysis of the percentage of lipids forming from four to seven intermolecular hydrogen bonds was therefore performed. In Fig. 8 this percentage is reported as a function of time for the last nanosecond of simulation for FF1 and FF3 that had the smallest and largest area per lipid respectively. All the possible hydrogen-bonding donors and acceptors were taken into account (i.e., phosphate oxygens and interfacial groups), as were hydrogen bonds formed directly and via one intermediate water molecule. These extensively hydrogen-bonded PSM molecules are the key contributors to a hydrogen-bonded network, and differ between the parameter sets (Fig. 8). When only direct lipid-lipid interactions were considered, the hydrogen-bond propensity (i.e., the proportion of lipids at any one time forming at least one interlipid hydrogen bond) was 73.4%, 70.1%, and 51.9% for FF1, FF2, and FF3, respectively. The force field parameterization did not have any major influence on the percentage of lipids making from one to three intermolecular hydrogen bonds.
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The FF1 parameters gave the smallest cross-sectional area per lipid (56.5 Å2); that given by FF2 and FF3 were 0.8 Å2 and 3.4 Å2 (or 1.4% and 6.0%) larger. Compared to differences in experimental determination of this parameter, the differences in the simulated values appear to be quite minor. However, they amount to 0.89 Å and 1.85 Å in each dimension for FF2 and FF3 respectively, sufficient to account for the dramatic effect on hydrogen-bond formation that was found. At the tighter PSM packing obtained with FF1 or FF2, the sphingosine OH group started to participate appreciably (41% of PSM molecules for FF1 and 26% for FF2, rather than 8% for FF3) in intermolecular hydrogen-bonding, contributing not only its own hydrogen as a donor, but freeing up the O1 esteric oxygen as acceptor. Overall, twice as many PSM molecules (24% versus 44%) formed four to seven intermolecular hydrogen bonds at the higher packing density. The effect of the slightly higher packing density is perhaps most clearly seen in the maximal size of hydrogen-bonded clusters: with the FF3 parameter set, the maximal cluster was a relatively stable four PSM molecules; at the higher densities (FF1), it was nine (FF1) or seven (FF2), although these clearly formed and dissociated over the nanosecond time scale so that the average size of the largest cluster was seven or six PSM molecules for FF1 and two over the 8 ns of simulation.
Whereas differences in packing density of PSM in this critical region for hydrogen-bond formation have been achieved in this study by varying the simulation parameters, in biological membranes similar increases in packing density are achieved by increasing the chain length of the acyl chain (Li et al., 2001
). Inasmuch as longer fatty acids than palmitate are normally present on cellular sphingomyelin in biological membranes (Brown, 1998
), our simulation with all three parameter sets possibly underestimates the full propensity for intersphingolipid hydrogen-bonding on the cell surface. It will be of interest to determine the effect of cholesterol upon this hydrogen-bonded network.
| CONCLUSIONS |
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Electrostatic interactions between PSM and surrounding water were a major determinant of the intramolecular bonding of this lipid. The molecules of water that surrounded the phosphate directly competed with (and so destabilized) intramolecular hydrogen bonds involving the phosphate anionic oxygens. Similarly, interactions of the polar head with water were important in tuning the interactions of the sphingosine NH with the distal phosphate oxygen (O''1).
Extension of the MD simulation to a bilayer formed by 128 PSM lipids in the liquid crystalline state showed a marked change in the hydrogen-bonding properties of PSM. Over 48% of the sphingosine NH groups, and 40% of the OH groups, became involved in intermolecular hydrogen-bonding, so that dynamic arrays of up to nine PSM molecules, interlinked by hydrogen-bonding, formed, dissociated, and reformed over the 8-ns simulation. The extent of hydrogen-bond formation was found to be very sensitive to changes in the packing density of PSM, approximately halving if the area/lipid increased by 6% (by using weaker values for Lennard-Jones interactions). Overall, the study adds detail to our understanding of the hydrogen-bonding pattern of sphingomyelin in solution, and emphasizes the potential of the hydrogen-bonding capability of this lipid in forming multimeric lipid assemblies in the bilayer.
| ACKNOWLEDGEMENTS |
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This work was supported by the European Network on Sphingolipids Synthesis and Organization, contract number HPRN-CT-2000-00077; the authors have also benefited from discussions with other members of the network.
Submitted on September 5, 2002; accepted for publication October 29, 2002.
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