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Biophys J, April 2001, p. 1649-1658, Vol. 80, No. 4
Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599 USA
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ABSTRACT |
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Five molecular dynamics computer simulations were performed on different phospholipid:sterol membrane systems in order to study the influence of sterol structure on membrane properties. Three of these simulated bilayer systems were composed of a 1:8 sterol:phospholipid ratio, each of which employed one of the sterol molecules: cholesterol, ergosterol, and lanosterol. The two other simulations were of a bilayer with a 1:1 sterol:phospholipid ratio. These simulations employed cholesterol and lanosterol, respectively, as their sterol components. The observed differences in simulations with cholesterol and lanosterol may have their implication on the form of the phospholipid/sterol phase diagram.
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INTRODUCTION |
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Cholesterol and closely related sterols play an
important role in the function of plasma membranes in most eukaryotic
cells. The incorporation of cholesterol into the phospholipid membrane usually: a) broadens and eventually eliminates gel to
liquid-crystalline phase transition of phospholipid bilayers b)
decreases (increases) the area per molecule of the liquid-crystalline
(gel) phase of monolayers c) increases (decreases) the orientational
ordering of the hydrocarbon chains in liquid-crystalline (gel) phase of bilayers (although, as was shown recently, for some lipids, such as
dimyristoylphosphatidylcholine (DMPC), cholesterol induces an increase
in the orientational order both in the gel and liquid crystalline
phases (McMullen et al., 1994
)) and d) decreases
(increases) the passive permeability of the bilayer above (below) the
main transition temperature. These effects were investigated using different physicochemical techniques (for recent reviews of cholesterol in membranes see Finegold (1993)
and McMullen and
McElhaney (1996)
) and computer simulations (Scott,
1991
; Robinson et al., 1995
; Tu et al.,
1998
; Smondyrev and Berkowitz, 1999c
;
Nielsen et al., 1999
; Pasenkiewicz-Gierula et
al., 2000
). Changes and alternations in structure of the
cholesterol molecule are responsible for some loss of the ability to
produce the above-mentioned effects. As a result, the physical
properties of the bilayer are modified. Thus, it was suggested that a
change in physical properties of the bilayer due to the replacement of
cholesterol in the membrane by another sterol-ergosterol (this sterol
can be found in the membranes of fungi, yeasts, and protozoans) may be
responsible for the difference in the interaction between membrane and
an antibiotic such as amphotericin B (Bolard, 1986
;
Brajtburg et al., 1990
). The structures of cholesterol
and ergosterol are displayed in Fig. 1
and, as one can see, they are not that different from each other. If
there is a difference in the specific antibiotic/membrane interaction
when sterol structure is modified, it would be of interest to
understand its physical origin.
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In Fig. 1, the structure of another sterol molecule, lanosterol, is
also displayed. It is very close in its structure to both cholesterol
and ergosterol. Contrary to the situation with cholesterol and
ergosterol, lanosterol is not present in naturally occurring membranes,
but it is a common precursor of cholesterol and ergosterol in the
evolutionary pathway. The question is therefore: why has nature spent
thousands of years to convert from lanosterol to other two sterols? It
was suggested (Bloom and Mouritsen, 1988
) that
cholesterol is designed to optimize thermodynamic and mechanical properties of phospholipid membranes. Apparently cholesterol can do
this, but not lanosterol. The difference in thermodynamics of
cholesterol/phospholipid and lanosterol/phospholipid mixtures can be
understood on the basis of the phase diagram of the sterol/phospholipid mixture. The phase diagram of a dipalmitoylphosphatidylcholine (DPPC)/cholesterol mixture in the presence of water was inferred by
Vist and Davis (1990)
. According to their phase diagram
a new phase, which is called liquid ordered (lo), appears when the
concentration of cholesterol is high (Xchol > 25%). This phase is characterized by a simultaneous presence of a
high degree of conformational order of phospholipid molecules and
lateral disorder. At low cholesterol concentration
(Xchol < 10%) and temperatures above the
main transition temperature, the membrane is in a phase where both
conformational and lateral degrees of freedom are disordered. This
phase is called the liquid disordered phase (ld). At temperatures below
main transition the membrane is in a gel phase where both translational
and conformational order is high, such a phase is called the solid
ordered (so) phase. The presence of the cholesterol in small amounts
only slightly reduces the temperature of the main phase transition.
Recent computer modeling data (Nielsen et al., 2000
)
indicate that the phase diagram of DPPC/lanosterol is very different.
By studying the behavior of the NMR order parameter, Nielsen et
al. (2000)
concluded that the most significant characteristics
of the phospholipid/cholesterol phase diagram is a stable coexistence
region between the lo and ld phases, while such a region is absent from
the phase diagram of lipid/lanosterol system. Based on NMR measurements
and theoretical modeling, Nielsen et al. concluded that the difference
in the phase diagrams is due to the difference in the interaction
strength between different sterols (cholesterol vs lanosterol) and
lipids. Since cholesterol and lanosterol have different molecular
shape, Nielsen et al. proposed that molecular smoothness is the
determining factor in the sterol/lipid interaction.
In this paper we report on a molecular dynamics computer simulation study performed on membranes containing phospholipid (DMPC) and sterols at low and high content. We study how the substitution of cholesterol with ergosterol and lanosterol influences the structural and dynamical properties of membranes with low sterol content (8:1 phospholipid:sterol ratio). In order to study the sterol/phospholipid interactions more accurately we want to perform simulations where sterol molecules are far from each other. At the same time the number of sterol molecules should be sufficiently large in order to obtain statistically significant results. This justified our choice in performing simulations at a 8:1 ratio. At high sterol content where the ratio of phospholipid to sterol was chosen as 1:1, we studied membranes with cholesterol and lanosterol.
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METHODS |
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At low sterol concentrations (11 mol %) the lipid membrane used
in our simulations consisted of 64 DMPC and 8 sterol molecules. We
performed three simulations of lipid bilayer with different sterols:
cholesterol, ergosterol and lanosterol. To set up the simulation system
we used coordinates of DMPC molecules determined by Vanderkooi
(1991)
. Coordinates of cholesterol molecules (Shieh et
al., 1981
) and for ergosterol (Hull and Woolfson,
1976
) were taken from the crystal structure. Lanosterol was
created from similar compound found in the Cambridge Structural
Database (CSD) using model builder in Spartan software package. Initial
configuration and equilibration protocol was the same as in our recent
simulation of DPPC:Cholesterol bilayer at 11 mol % sterol. Initially
four sterol molecules were distributed in each leaflet of the membrane so that the distance between them was at its maximum. We used the
united atom force field for DMPC molecules that we employed in our
previous simulations of various DPPC membranes (Smondyrev and
Berkowitz, 1999a
,c
,d
). Lipid membranes were surrounded by 1476 TIP3P (Jorgensen et al., 1983
) water molecules, which
corresponds to 20.5 waters per lipid molecule. Membranes with high
sterol concentrations (50 mol %) were composed of 32 DMPC and 32 sterol molecules surrounded by 1312 water molecules. Initially lipid and sterol molecules were placed in regular arrays, which corresponds to structure A in our recent simulations of DPPC:Cholesterol membranes (Smondyrev and Berkowitz, 1999c
). Parameters for the
sterol molecules were taken from the united atom AMBER force field
(Weiner et al., 1984
). Partial atomic charges were
calculated using the Gaussian 98 program at the 6-31G(d) basis set
level and the Milliken population analysis (Frisch et al.,
1998
). It was found that hydroxyl group atoms and C3 carbon
atom had the largest charges. For cholesterol molecule these charges
are: 0.343e (in electron units) on the hydroxyl hydrogen,
0.694e on
the hydroxyl oxygen, and 0.347e on C3 carbon atom. Similar charge
distributions were found for ergosterol (0.333e,
0.673e, and 0.361e)
and lanosterol (0.340e,
0.675e, and 0.350e). Charges on other carbon
atoms in sterol rings and tails were close to zero.
After initial equilibration we performed simulations on nanosecond time
scale at constant pressure (P = 0 atm) and temperature (T = 308 K) with periodic boundary conditions.
Dimensions of the rectangular simulation cell were controlled using the
Hoover barostat. Thermostat and barostat relaxation times were 0.2 and
0.5 ps, respectively. All bond lengths were constrained using the SHAKE algorithm with a tolerance of 10
4, allowing for the use
of 0.002 ps time step. The Ewald summation technique was employed in
the calculation of electrostatic contributions with a tolerance of
10
4. The real space part of the Ewald sum and van der
Waals interactions were cut off at 10 Å. Calculations were performed
on a Cray-T3E computer at the Texas Advanced Computing Center and an
IBM-SP computer at the North Carolina Supercomputer Center using the DL_POLY simulation package, version 2.8, developed in Daresbury Laboratory, England (Smith and Forester, 1996
).
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RESULTS |
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Simulations at small sterol concentrations
Membrane geometry
Each leaflet of the membrane in our simulation contained 32 phospholipid molecules and 4 sterol molecules. In order to determine the average area per phospholipid and sterol molecule we employed the following strategy. The total volume of the membrane V is given by V = npVp + nsVs where np is the number of phospholipid molecules, ns is the number of sterol molecules, and Vp and Vs are the volumes per phospholipid and sterol molecules. We assume that the volume of a sterol molecule does not depend on the composition of the membrane, since the sterol molecule is rather rigid. The volume of the phospholipid molecule is composition dependent. For the areas we can write a similar relationship A = npAp + nsAs where the area of each compound is obtained from the relationship A = 2V/L; L is the effective thickness of the membrane. The membrane thickness can be estimated by taking the distance between phosphorus atoms in the opposite leaflets. This distance depends on the temperature, pressure, and composition of the membrane. Note that in the case of a pure DPPC membrane this kind of an estimate for the area per phospholipid results in a value of 64.8 Å2 (V = 1232 Å3 (Nagle and Weiner, 1988
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Structure of lipid bilayers
We calculated the average distances from the bilayer center to different DMPC and sterol atoms (Table 1) in order to characterize the structural properties of lipid bilayers with various sterols. These values are compared to the data for the pure DMPC membrane (Smondyrev and Berkowitz, 1999b
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SCD
, which is directly related to
the first moment M1 of the NMR spectrum. In
DMPC/sterol membranes at 30 mol % sterol, the ordering effects of
different sterols increased in the following progression:
lanosterol-cholesterol-ergosterol (Urbina et al., 1995
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(1) |
1.5 cos
i cos
j
0.5
ij
;
ij is the angle between the ith molecular
axis and the bilayer normal (z-axis). In Fig.
8 we compare
SCD values for the Sn-2 chain from our
simulations of DMPC (Smondyrev and Berkowitz, 1999d
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Sterol-lipid interactions
Nielsen et al. (2000)
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Hydrogen bonding
The largest contribution to the sterol-lipid interaction energy comes from the van der Waals forces as indicated by the energy minimization studies of Vanderkooi (1994)
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Sterol dynamics
Different interactions between sterols and DMPC may be also linked to variations of dynamical properties of membrane lipids. Diffusion coefficients were obtained from molecular dynamics simulations using the following equations:
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...
indicates averaging over initial times
t0. In Fig. 10
we show the mean square displacements along the bilayer normal and in the plane of membrane for three different sterols in DMPC membranes. By
fitting straight lines to these curves (in the interval from 1 ns to
2.5 ns) we obtained the following values for the lateral diffusion
coefficients: Dlat = 1.5, 3.0, and 3.2 × 10
7 cm2/s for cholesterol, ergosterol, and
lanosterol respectively. These values are similar to the diffusion
coefficients of lipids in pure DPPC membranes determined from computer
simulations (Essmann and Berkowitz, 1999
7 cm2/s and 1.25 × 10
7
cm2/s for the corresponding transverse diffusion
coefficients. One should understand that the values of the diffusion
coefficients given above are rather approximate due to a small number
of sterol molecules sampled and limited time of the runs.
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Simulations at large sterol concentrations
In lieu of some of the observed differences in the properties of DMPC membranes with different sterols such as cholesterol and lanosterol at sterol:phospholipid ratio 1:8, it would be interesting to find out whether or not such differences exist when membranes are rich in sterol. For this purpose we performed two more simulations: first on a membrane containing cholesterol and DMPC molecules at 1:1 ratio, and the second, on a membrane containing lanosterol and DMPC molecules in the same 1:1 ratio. The simulation of cholesterol:DMPC was done for 2 ns, while the simulation of lanosterol:DMPC was performed for 1.5 ns. This choice of the time lengths was dictated by the time required for the membrane area to stabilize. As we can see from Fig. 11 the area of the cholesterol:DMPC dimer stabilized after ~1.0 ns, while the area of the lanosterol:DMPC dimer stabilized after ~0.5 ns. The data analysis for both systems was performed for the last 1.0 ns of the two simulations. We found that the area per cholesterol:DMPC heterodimer is 77.5 ± 0.6 Å2, while the area of the lanosterol:DMPC heterodimer is 82.6 ± 0.6 Å2. This may be due to the fact that lanosterol molecule is bulkier than cholesterol. In Fig. 12 we show the SCD order parameter averaged over two DMPC chains. As the figure shows, lanosterol has a stronger effect on the ordering of chain molecules towards the headgroups. This can be attributed to the fact that the lanosterol molecule is not as flat as cholesterol, especially toward its head due to the presence of two extra CH3 groups. The SCD order parameter for carbon atoms towards the middle of the bilayer is larger for phospholipids in membranes with cholesterol. Overall, the condensing effect of lanosterol is weaker compared to cholesterol. The membrane thickness in the presence of cholesterol is 1 Å larger than the one with lanosterol, and therefore the condensing effect of cholesterol is stronger. In Fig. 13 we show the distributions for the angle between the sterol and bilayer normal. No substantial difference is observed between the two curves on the figure. The average angle between cholesterol and the bilayer normal 10.6° is the same within the experimental error as the angle for lanosterol 10.0°. No indication that lanosterol turns perpendicular to the bilayer normal is given by the angular distribution curve and such configurations are not seen in any snapshots obtained from simulations with a high content of lanosterol.
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CONCLUSIONS |
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We performed three molecular dynamics simulations of DMPC membranes with sterol at 8:1 ratio. Each simulation was done with a different sterol: the first was done with cholesterol, the second with ergosterol, and the third with lanosterol. Although we did not observe any major differences in the structure of the DMPC membranes with different sterols or in the energetics of the sterol-phospholipid interaction, still there were some differences between the behavior of lanosterol and other sterols. We observed that lanosterol on the average was closer to the center of the bilayer. We also found that the angle between the molecular axis and the bilayer normal was larger for lanosterol than for two other sterols, and we observed that one of the lanosterol molecules reorients and spends ~1 ns in a plane that is parallel to the bilayer surface. We also observed a difference in the hydrogen bonding pattern between lanosterol and DMPC. Thus, in the case of lanosterol, the hydrogen bonding between the sterol hydroxyl group and phosphate oxygen is diminished while the number of hydrogen bonds with carbonyl oxygens is increased in a manner consistent with the observation that lanosterol is (on the average) located closer to the membrane center. What can be the reason for this small difference in the location of lanosterol and other two sterols? As the structures of sterols show, lanosterol has two methyl groups attached to carbon 4, which makes the first ring of lanosterol larger in size. To fit more comfortably into the bilayer, lanosterol slides somewhat towards the bilayer center and as a result becomes more mobile (compared to cholesterol) in its orientational and lateral motion. How these differences in sterol location and mobility influence the phase diagram is a very interesting question that remains to be investigated.
We also performed two simulations with high concentration of sterol
where the ratio of sterol to phospholipid was 1:1. One of the
simulations was done with cholesterol and another with lanosterol. In
this case we observed that cholesterol had slightly stronger condensing
effect on the membrane compared to lanosterol, although the ordering of
phospholipid chains close to headgroups was larger for membranes with
lanosterol. We did not observe any major differences in orientational
properties of sterols when membranes contained large amounts of
sterols. Our simulations together with simulations performed with
simpler potential models (Nielsen et al., 2000
) indicate
that indeed there are differences in the physical properties of
membranes with different sterols. Such differences may be very
important when additional molecules are present in the membranes, such
as proteins. Our present results also show that more experimental and
simulation work is needed in order to understand how the change in
sterol structure affects the properties of membranes.
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ACKNOWLEDGMENTS |
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This work was supported by National Science Foundation Grant MCB9604585. Computational support from the National Partnership for Advanced Computing Infrastructure is gratefully acknowledged. Calculations were also performed on the IBM-SP at the North Carolina Supercomputer Center. Conversations with Prof. M. Zuckermann are greatly appreciated.
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FOOTNOTES |
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Received for publication 31 May 2000 and in final form 13 December 2000.
Address reprint requests to Dr. Max L. Berkowitz, University of North Carolina, Dept. of Chemistry CB 3290, Chapel Hill, NC 27599-3290. Tel.: 919-962-1218; Fax: 919-962-2388; E-mail: maxb{at}unc.edu.
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REFERENCES |
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Biophys J, April 2001, p. 1649-1658, Vol. 80, No. 4
© 2001 by the Biophysical Society 0006-3495/01/04/1649/10 $2.00
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