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Vol. 55, Issue 1, 32-38, January 1999
Helsinki Biophysics and Biomembrane Research Group, Department of Medical Chemistry, Institute of Biomedicine, University of Helsinki, Helsinki, Finland
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Summary |
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Cyclosporin A (CsA) is a highly hydrophobic drug used to prevent
graft rejection after organ transplantation. Interactions of CsA with
phosphatidylcholine as well as with binary mixtures containing
phosphatidylcholine and cholesterol were investigated by measuring the
penetration of CsA into lipid monolayers at an air/water interface, by
differential scanning calorimetry, and by imaging with fluorescence
microscopy the effects of CsA on the lateral distribution of a
fluorescent probe,
1-palmitoyl-2-(N-4-nitrobenz-2-oxa-1,3-diazol)aminocaproyl-phosphocholine, in monolayers. Film penetration studies revealed the association of CsA
with lipids to be a biphasic process. Cholesterol diminished the
intercalation of CsA into the monolayer at surface pressures of >19
mN/m. CsA broadened the main transition of
dimyristoylphosphatidylcholine (DMPC)/
-cholesterol (10:1, mol/mol)
multilamellar vesicles. The behavior of the transition enthalpy was
more complex; the behavior of DMPC/
-cholesterol multilamellar
vesicles in the XCsA of 0 to 0.1 showed at most ratios a
increase, but several well distinct dips were observed. The results are
interpreted in terms of regular structures in tertiary alloy. Influence
of CsA on lateral organization could be verified for lipid domains
observed by fluorescence microscopy of lipid monolayers. More
specifically, CsA altered the distribution of
1-palmitoyl-2-(N-4-nitrobenz-2-oxa-1,3-diazol)aminocaproyl-phosphocholine in a dipalmitoylphosphatidylcholine film and in DPPC/
-cholesterol (88:10, mol/mol) mixtures in a manner that suggests that CsA partitions into the boundaries between fluid and gel domains. To our knowledge, this constitutes the first demonstration of a change in lipid domain
morphology to be induced by a drug molecule.
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Introduction |
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Cyclosporin
A (CsA) is a key element in the struggle against rejection in organ
transplantation; its introduction into the immunosuppression in 1980s
resulted in a major improvement in graft survival (Cohen et al., 1984
).
This fungal protein is composed of a 11-residue cyclic peptide
containing two uncommon amino acids: (4R)-4-[(E)-2-butenyl]-4,N-dimethyl-L-threonine
and L-
-aminobutyric acid, as well as seven
peptide bond N-methylated residues. Two conformations have
been demonstrated for CsA: one for the unbound (free) peptide
crystallized form in an organic solvent and the other for
CsA-immunophilin complex or CsA bound to the phosphatase calcineurin
(O'Donohue et al., 1995
). The binding of CsA to calcineurin is thought
to be an important step in its mechanism of action, leading to the
decreased synthesis of interleukin-2 (Hemar and Dautry-Varsat, 1990
).
The clinical use of CsA is limited by its nephrotoxicity, with the
molecular level mechanisms of this side effect remaining unresolved
(Kopp and Klotman, 1990
). CsA has been recently reported to block the
opening of mitochondrial permeability transition pore and to interfere
with the induction of apoptosis (Bernardi, 1996
). Contrasting with
these findings, CsA has been shown to also induce apoptosis in some
cell lines (Kitagaki et al., 1997
).
Due to its profound hydrophobicity, CsA avidly partitions into
membranes. CsA has been shown to abolish the pretransition for
saturated phospholipids and to decrease both their main transition temperature and enthalpy (O'Leary et al., 1986
; Wiedmann et al., 1990
).
CsA decreases acyl chain order at temperatures below main phase
transition, whereas increased order at temperatures above the
transition is evident (Wiedmann et al., 1990
). CsA increases the
lamellar-to-hexagonal phase transition temperature of
dielaidoylphosphoethanolamine at low drug-to-lipid molar ratios,
whereas a decrease is seen at higher contents of CsA (Epand et al.,
1987
). CsA also inhibits membrane fusion (Epand et al., 1987
).
Coupling between membrane organization and function is emphasized in
the modern view of membrane biology, and several molecular level
processes generating dynamic order have by now been established in
model membranes. Both peripheral and integral membrane proteins, as
well as metabolites, ions and drugs, and changes in the temperature and
degree of phospholipid hydration, for instance, can alter membrane
organization (Kinnunen, 1991
; Mouritsen and Kinnunen, 1996
). On the
other hand, changes in membrane organization can also influence the
association of different ligands to the membrane, as shown for
doxorubicin (Söderlund et al., unpublished observations), cytochrome c (Mustonen et al., 1987
), and histone H1
(Rytömaa and Kinnunen, 1996
). Accordingly, there is a reciprocal
interplay between membrane organization and binding of ligands to membranes.
Changes in membrane organization have been suggested to be induced by
several drugs, such as tacrine, which is used in the treatment of
Alzheimer's disease (Lehtonen et al., 1996
); the anticancer drug
doxorubicin (Goormaghtigh et al., 1982
), local anesthetic agents
(de-Paula and Schreier, 1996
); and the antifungal drug amphotericin B
(Lance et al., 1996
). A recent approach to molecular-level mechanisms
of action (or side effects) of drugs is to elucidate their interactions
with membranes and effects on membrane organization in relation to
their membrane-involving functions. Due to the high lipid solubility of
CsA, it was of interest to study the interactions of this compound with
phospholipid membranes. Likewise, because some of the effects of CsA
reported so far resemble those exerted by cholesterol, we also
investigated the influence of this sterol on the interaction of CsA
with lipid membranes.
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Experimental Procedures |
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Materials.
HEPES and EDTA were purchased from Sigma (St.
Louis, MO), and dimethyl sulfoxide (DMSO) was purchased from Merck
(Darmstadt, Germany).
1,2-Dimyristoyl-sn-glycero-3-phosphocholine (DMPC), 1,2-dipalmitoyl-sn-glycero-3-phosphocholine (DPPC), egg
yolk phosphatidylcholine (eggPC; molecular weight, ~750),
5-cholesten-3
-ol (
-cholesterol), and 5-cholesten-3
-ol
(
-cholesterol) were obtained from Sigma, and
1-palmitoyl-2-(N-4-nitrobenz-2-oxa-1,3-diazol)aminocaproyl-sn-glycero-3-phosphocholine (NBD-PC) was obtained from Avanti Polar Lipids (Alabaster, AL). CsA was
a kind gift from Novartis (Basel, Switzerland). The purity of lipids
was checked by thin-layer chromatography on a silicic acid-coated
plates (Merck) using chloroform/methanol/water (65:25:4, v/v) as a
solvent system. Examination of plates after iodine staining or
fluorescence illumination revealed no impurities. To assess the surface
chemical purity of DPPC, eggPC, and
-cholesterol, their
pressure/area (
-A) isotherms were recorded using a
computer-controlled Langmuir film balance (µTroughS; Kibron Inc.,
Helsinki, Finland). The isotherms obtained were in keeping with those
in the literature. The concentrations of lipid and drug solutions were
determined gravimetrically using a high precision electrobalance (Cahn
Instruments, Inc., Cerritos, CA) or spectrophotometrically using
= 19,000 M
1 at 465 nm for NBD-PC. Molecular weights of 752 and 724 were used for DPPC and DMPC, respectively, corresponding
to their monohydrates.
Penetration of CSA into Lipid Monolayers.
Penetration of CsA
into monomolecular lipid films was measured using magnetically stirred
circular wells (surface area, 31 cm2; volume, 50 ml)
drilled in Teflon. Surface pressure (
) was monitored with a platinum
Wilhelmy plate attached to a microbalance connected to a 486 PC via a
DT01-EZ data acquisition board. Aqueous phase was 5 mM HEPES and 0.1 mM
EDTA (pH 7.4). Lipids were spread on the air-water interface in
chloroform (approximately 1 mg/ml) and were allowed to equilibrate for
20 min so as to reach different initial surface pressures
(
0) before the addition of CsA (5 µl, 2 mg/ml in DMSO)
into the subphase. The increment in
after the addition of CsA was
complete in approximately 20 min, and the difference between the
initial surface pressure (
0) and the value observed
after the intercalation of the drug into the film was taken as 
.
All measurements were performed at ambient temperature (~+24°C).
The data are represented as 
versus
0, thus
revealing the decrement in the intercalation of CsA into lipid
monolayer on increasing lateral packing density of the film. These
graphs also yield the critical surface pressure
c (i.e.,
lipid lateral packing density preventing the penetration of the drug
into film).
Differential Scanning Calorimetry. Phospholipids, cholesterol, and CsA were codissolved in chloroform to obtain the desired lipid-to-drug ratios. Solvent was first evaporated under a stream of nitrogen, and the dry residues then were maintained under reduced pressure for a minimum of 2 h. Subsequently, samples were hydrated in a buffer (5 mM HEPES, 0.1 mM EDTA, pH 7.4) for 30 min at a temperature of approximately 10°C over the main transition to yield multilamellar vesicles (MLVs) at a total phospholipid concentration of 0.77 mM. Liposomes were maintained at +4°C overnight before recording heat capacity scans with a high-sensitivity differential scanning microcalorimeter (VP-DSC; Microcal Inc., Northampton, MA), operated at a heating rate of 0.5°C/min. All samples had the same thermal history. The calorimeter was connected to a Pentium PC, and data were analyzed using commercial software (Origin; Microcal Inc., Northampton, MA). Transition enthalpies are expressed as kilojoules per mole of phospholipid and were determined by intergration of the peaks, using the internal calibration of the instrument as a reference. The deviation from the baseline was taken as the beginning of the transition and the point of return to the baseline as the end of the transition. Data points represent the mean for triplicate analyses, and the error bars indicate S.D.
Fluorescence Microscopy of Lipid Monolayers. Effect of CsA on the lateral distribution of NBD-PC was studied using a Zeiss IM-35 inverted microscope combined with a computer-controlled monolayer apparatus (µTrough S). Total surface area of the trough is 120 cm2, and the volume of the subphase is 25 ml. The trough was mounted on the microscope stage, and the quartz-glass window in the bottom of the trough was positioned over an extralong working distance 20× objective. A 450- to 490-nm bandpass filter was used for excitation, and a 520-nm long-pass filter was used for emission. Images were recorded with a Peltier-cooled 12-bit digital CCD camera (C4742-95, Hamamatsu, Japan) interfaced to a computer and operated by the software (HiPic 4.2.0a) provided by the manufacturer.
The indicated lipids and CsA were mixed in an organic solvent (hexane/isopropanol/water, 70:30:2.5, v/v) and subsequently applied on the air-water interface using a microsyringe. After an equilibration period of 10 min, the monolayer was compressed symmetrically at a rate of 1 Å2/chain/min. After reaching the desired values for
, the compression was stopped, and the monolayer was
allowed to settle for 10 min before recording of the image. During this
equilibration period, a decrease (approximately 0.9-5.4 mN/m) in
surface pressure was observed, with the magnitude of the decrement in
depending on the film composition as well as the pressure range.
The decrease in
represents the reorganization and relaxation of the
monolayer toward the free energy minimum after the compression.
Likewise, although the solubility of CsA into water is very low, there
could be some desorption of this compound into the subphase.
Accordingly, it is essential to note that the patterns shown are
unlikely to represent true equilibrium states. However, because
identical compression rates and equilibration times were used in each
experiment, the results thus obtained should be amenable for
comparison. All measurements were performed at ambient temperature
(~+24°C).
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Results |
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Binding of CsA to Lipid Monolayers.
Although the association
of CsA with liposomes composed of neutral zwitterionic lipids is well
established (O'Leary et al., 1986
; Wiedmann et al., 1990
), we are not
aware of studies on the penetration of CsA into phospholipid monolayers
as a function of their lateral packing density. Increment in surface
pressure (
) as a function of time, after the addition of CsA into
the subphase underneath a eggPC monolayer at an initial surface
pressure (
0) of 15.4 mN/m, is illustrated in Fig.
1. As expected from the hydrophobicity of
CsA, the penetration of this peptide into the film was rapid. Similar
measurements were subsequently made at varying values for
0, and the data are illustrated as 
versus
0 (Fig. 2A).
Interestingly, the data readily reveal the dependence of the
interaction of CsA with the monolayer as a function of
0
to be biphasic. More specifically, at surface pressures below
19
mN/m, the slope of the 
versus
0 indicates a
limiting value
c of 25 mN/m for the penetration of CsA
into the film. However, penetration of CsA is clearly augmented for
monolayers initially maintained at
0 >19 mN/m, and for
these films, a significantly higher limiting value of
c
35 mN/m, prohibiting the penetration of CsA into the film, is
measured.
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-cholesterol (1:1, mol/mol) monolayers
(Fig. 2). At
0 from approximately 10 to 19 mN/m, the addition of CsA induces similar changes in the surface
pressure as in the absence of cholesterol, and a similar value (
24
mN/m) for the limiting pressure
c is observed.
Notably, for eggPC/
-cholesterol film, the value of
0 at which the mechanism of interaction of CsA
with lipid monolayer alters (change in slope for the 
versus
0 graph) increases to approximately 22 mN/m.
The extrapolation of the penetration of CsA into the more densely
packed films yields
c of
31 mN/m for
eggPC/
-cholesterol monolayers, whereas
c of
35 mN/m was measured for the eggPC film. To this end, the above
effects of CsA were not stereospecific, and similar data were measured
for
-cholesterol containing monolayers (data not shown).
Differential Scanning Calorimetry.
Previous DSC studies have
revealed CsA to decrease the enthalpy (
H) of the main phase
transition of DPPC, and a location of the drug in the hydrophobic
membrane interior was suggested (O'Leary et al., 1986
; Wiedmann et al.,
1990
). A similar effect is observed for cholesterol (Demel and de
Kruyff, 1976
) and is shown at Xchol = 0.1 for a binary
mixture with DMPC (Fig. 3). CsA further
broadens the main transition peak of DMPC/
-cholesterol (10:1, molar
ratio) MLVs (Fig. 3), suggesting possible intercalation of CsA within
the hydrocarbon interior of the membrane. The values
H for for
DMPC/
-cholesterol (10:1, mol/mol) with progressively increasing
contents of CsA are depicted in Fig. 4A.
The main transition enthalpy (denoted as
H0) for the
DMPC/
-cholesterol MLVs is approximately 11 kJ/mol. At drug-to-lipid
ratios ranging from 1:100 to 2:100, CsA increases
H by approximately
2 kJ/mol. At drug-to-lipid stoichiometry of 3:100, a sharp dip in
H
is observed, with
H decreasing to 9.1 kJ/mol, yet on further
increasing drug-to-lipid stoichiometry to 7:200,
H increases. The
value for
H remains above
H0 at drug-to-lipid ratios
of 4:100 and 9:200, whereas a sharp minimum in
H is observed at
drug-to-lipid ratios of 5:100 and 11:200, with the
H being
approximately 50% of
H0. At drug-to-lipid molar ratios
of 6:100 and 13:200,
H again exceeds
H0, where after a 7:100 drug-to-lipid ratio, a smaller dip in
H is observed. As the
content of CsA is further increased up to drug-to-lipid stoichiometry
of 10:100, the value for
H increases, becoming nearly twice the
value of
H0. Less dramatic changes are evident in
Tm (Fig. 4), yet on exceeding XCsA = 0.06, there is a decrement in Tm by approximately 0.6 degree.
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Fluorescence Microscopy of the Monolayers.
Morphology of the
two-dimensional domains of lipid monolayers is sensitive to their
chemical composition (e.g., Weis and McConnell, 1985
; Weis, 1991
). To
obtain further insight into the effects of CsA on lipid alloys, we
studied the lateral distribution of the fluorescent lipid analog NBD-PC
(X = 0.02) in DPPC monolayers as a function of
. Representative
images of a DPPC monolayer at surface pressures of 13.1 and 18.7 mN/m
are shown in Fig. 5, A and C. These
pressures correspond to the transition region, evident as the
coexistence of the fluid and solid regions. As the fluorescent probe,
NBD-PC readily partitions into the former domains; these appear as
light and dark areas, respectively (Weis and McConnell, 1985
). In the
absence as well as the presence of CsA, dark, crystalline domains
containing very low amounts of probe first appeared on compression to
surface pressures between 9 and 10 mN/m (Fig. 5B). The presence of CsA
(X = 0.05) diminishes domain size, whereas the length of the
fluid/gel (liquid-expanded/liquid-condensed) domain boundary increases.
At higher pressures, the effect of CsA on the domain boundaries becomes
more pronounced (Fig. 5B). For example, for DPPC/NBD-PC film at 18.7 mN/m, the domain boundaries are diffuse, with a gradient of decreasing
NBD-PC fluorescence on going from crystalline to fluid region (Fig.
6). This is contrasted by the sharp
boundaries observed in the presence of CsA (Fig. 6). The shape of the
domains observed with CsA somewhat resembles those reported for low
mole fractions (X = 0.02) of cholesterol (Weis and
McConnell, 1985
).
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Discussion |
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Conventionally, drugs are a priori assumed to exert their action
in cells by more or less specific binding to sites in proteins. Interestingly, a novel concept has emerged from studies on the membrane
binding of cytotoxic peptides such as magainins, cecropins, and
defensins (Bechinger, 1997
). No receptors have been demonstrated for
these compounds, and they are presently believed to exert their
activity by interacting with the lipid bilayer. Yet, the molecular
mechanism or mechanisms of their action and the property of the bilayer
being modified remain to be established. In this regard, the rich scale
of different phases (i.e., membranes with distinct physicochemical
properties) exhibited by different lipids is of interest (Kinnunen and
Laggner, 1991
). There is experimental evidence indicating a correlation
between the physical state (i.e., the phase state of cellular
membranes), determined by their lipid composition, and the
physiological state of the cell (Kinnunen, 1991
, 1996
). There is no
reason to believe that the modulation of specific properties of the
lipid bilayer would be limited to the above cytotoxic peptides;
it could contribute to both the therapeutic mechanism and side
effects of membrane-partitioning compounds in general. To this end, a
large variety of structurally dissimilar drugs are hydrophobic or
amphiphilic and readily partition into lipid membranes; good examples
are tacrine (Lehtonen et al., 1996
), doxorubicin (Mustonen et al.,
1993
; Söderlund et al., 1999
), and CsA (O'Leary et al., 1986
;
Wiedmann et al., 1990
). Drugs may also modulate peripheral
lipid-protein interactions, as shown for chlorpromazine, doxorubicin,
lidocaine, and gentamycin (Ito et al., 1983
; Mustonen and Kinnunen,
1991
; Jutila et al., 1998
).
The increase in acyl chain order in DPPC liposomes by CsA is similar to
that caused by cholesterol (Wiedmann et al., 1990
). Increasing the
contents of cholesterol progressively decreases
H of the main
transition in a manner depending on the acyl chain composition of the
matrix lipid (McMullen et al., 1993
). Comparison of these data on the
effects of cholesterol and CsA suggests the localization of these
compounds in membranes to be similar. For cholesterol, the long axis of
its sterol ring structure parallels the acyl chains of the membrane
lipids, with the hydroxyl group residing vicinal to the phospholipid
ester carbonyl groups. The side chain is buried in the membrane
interior. CsA occupies a larger area in the interior of the membrane
compared with the membrane surface (Wiedmann et al., 1990
). Also, the
present DSC data are consistent with the intercalation of CsA into the
membrane interior (O'Leary et al., 1986
; Wiedmann et al., 1990
).
The thermal phase behavior of DMPC/
-cholesterol (10:1, mol/mol)
liposomes as a function of XCsA is complex (Fig.
4). A likely explanation to these data could be provided by the same
principles as forwarded for tacrine-induced changes in the thermal
behavior of dimyristoylphosphatidic acid (Lehtonen et al., 1996
). More specifically, the latter results were interpreted in the terms of
formation of regular superstructured regions in the bilayer at
well-defined drug-to-phospholipid ratios. In principle, all systems
organize so as to minimize their free energy. In a bilayer alloy, this
may require its components to respond to changes in composition by
changes in organization. This is best implied by the alterations
observed in the main transition enthalpy at CsA-to-cholesterol ratios
of 3:10 and 1:2 (XCsA = 0.03 and 0.05, respectively). The formation of superlattices in liposomes containing
cholesterol has been proposed (Liu et al., 1997
). CsA could exert
effects similar although not identical to those of cholesterol
(Wiedmann et al., 1990
).
The biphasic, packing density-dependent interaction of CsA with the
phospholipid monolayer is peculiar and reveals cholesterol to decrease
the penetration of CsA into the lipid monolayer in a surface
pressure-dependent manner (i.e., at pressures exceeding 22 mN/m) (Fig.
2). Because the inclusion of cholesterol leads to a increased lateral
packing density of phosphatidylcholine monolayers (Gershfeld and
Pagano, 1972
), it also decreases the free volume within the hydrophobic
part of the monolayer. Obviously, this would impede the penetration of
CsA into the lipid, yet more specific lipid-drug interactions also
could be involved and could reflect a pressure-induced change in the
conformation and/or orientation of CsA. In this case, the conformation
and/or orientation of CsA in the membrane would also be sensitive to cholesterol.
Fluorescence microscopy of lipid monolayers has been used to study the
lateral organization of lipids (Nag et al., 1991
), changes in lipid
domains induced by phospholipase A2 (Grainger et
al., 1989
), monolayer phase transitions (Weis, 1991
), domain formation
induced by Ca++ (Eklund et al., 1988
), and domain
formation induced by electric fields (Lee et al., 1994
). Lipid-protein
interactions have also been studied by fluorescence microscopy of
monolayers (Subirade et al., 1995
). The determinants for domain
morphologies has been a subject of intense research (Weis, 1991
), and
factors such as dipole fields and line tension have been shown to
contribute. To our knowledge, this technique has not been used to
investigate possible changes in domain morphology caused by drugs. The
fluorescent probe NBD-PC used in this study preferentially partitions
into the "fluid" (liquid-expanded) lipid (Weis and McConnell,
1985
). Accordingly, fluorescence microscopy of phospholipid monolayers allows visualization of the coexistence of fluid and gel domains in the
transition region (Weis, 1991
). In the transition region, three phases
with distinctly different fluorescence intensities are evident (Fig.
7). The dark and light areas represent gel-like and fluid domains,
respectively, separated by a boundary region with a gray, intermediate,
and diffuse gradient of fluorescence emission. Evidence for an
"intermediate" lipid domain within the main transition has been
recently forwarded for DMPC liposomes (Jutila and Kinnunen, 1997
). More
complex behavior is observed when
-cholesterol is present.
DPPC/
-cholesterol/NBD-PC monolayers exhibit reticular domains at
higher surface pressures. The effect of CsA on the lateral organization
of this system is dramatic, and only gel- and fluid-like domains are
evident. The change in the domain shape is also pronounced, from
complex reticular networks to completely circular domains at all
surface pressures. The effect of CsA on the lateral organization of
pure DPPC monolayers suggests that it partitions into the boundaries
between gel/liquid domains, with these boundaries becoming sharp in the
presence of this drug.
The present results show that the interaction of CsA with membranes
containing cholesterol are much more complex than those revealed in
previous studies with neat PC bilayers (Wiedmann et al., 1990
). In
brief, we demonstrated that CsA not only changes the thermal phase
behavior of the membrane but also alters dramatically the lateral
organization in monolayers on a micrometer scale. Although direct
comparison of the different membrane models, liposomes and monolayers,
is ambiguous, we can conclude that both systems demonstrate that the
interaction of CsA with membrane lipids depend on the presence of
cholesterol. There is a large body of evidence showing that cholesterol
affects a number of processes of diverse nature in different cells.
Moreover, organization of cholesterol in membranes can be anticipated
to be critical to its functions (see Schroeder et al., 1995
, and
references therein). Definitive conclusions regarding the
pharmacological significance of our findings would clearly be premature
at this stage, yet in conjunction with the importance of coupling
between organization and function in biomembranes, the present
results do indicate that efforts along these lines may provide novel
insights to the understanding of the molecular mechanisms of action of
membrane-associating drugs.
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Acknowledgments |
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The technical assistance of Birgitta Rantala and Outi Tamminen is appreciated.
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Footnotes |
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Received June 23, 1998; Accepted October 22, 1998
This study was supported by the Biocentrum Helsinki and Finnish State Medical Research Council.
Send reprint requests to: Prof. Paavo K. J. Kinnunen, Department of Medical Chemistry, Institute of Biomedicine, P.O. Box 8, FIN-00014, University of Helsinki, Helsinki, Finland. E-mail: paavo.kinnunen{at}helsinki.fi
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Abbreviations |
|---|
CsA, cyclosporin A;
-cholesterol, 5-cholesten-3
-ol;
-cholesterol, 5-cholesten-3
-ol;
DMPC, 1,2-dimyristoyl-sn-glycero-3-phosphocholine;
DMSO, dimethylsulfoxide;
DPPC, 1,2-dipalmitoyl-sn-glycero-3-phosphocholine;
eggPC, egg
yolk phosphatidylcholine;
H, main phase transition enthalpy;
H0, the main phase transition enthalpy of the
DMPC/
-cholesterol (10:1, mol/mol) MLVs;
NBD-PC, 1-palmitoyl-2-(N-4-nitrobenz-2-oxa-1,3-diazol)aminocaproyl-phosphocholine;
MLV, multilamellar vesicles;
, surface pressure;

, change in
surface pressure;
0, initial surface pressure;
c, critical lipid lateral pressure;
Tm, temperature of main phase transition;
X, mole fraction of the indicated
substance.
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