Lipid Bilayer Membrane Surfaces
A R T I C L E S
in the vesicular system for 2. Thus the improvement in the
binding affinity due to constraining the receptors in vesicles
appears to be primarily due to solvation effects in the local
environment. Previous studies of interactions with membrane-
anchored receptors have not taken the effect of the membrane
environment into account, and the large cooperative effects
observed in these experiments could be caused by similar
1
5
effects.
The Effect on Binding of Vesicle Receptor Concentration.
The membrane concentration of the receptor should also be an
important factor in determining the magnitude of the observed
binding constants, and so far we have ignored this parameter.7
With an appropriate solution control established, i.e. K1 for
a,16a
obs
binding 1 in solution is the same as K1 for the membrane-
anchored receptor 2, we investigated how the membrane
obs
concentration of 2 affects the value of K2 relative to that
measured for 1 in solution.
We maintained the bulk concentration of 2 at 0.2 mM and
the vesicle size at 800 nm, but varied the concentration of
phospholipid. This has the effect of varying the number of
vesicles and hence the number of receptors per vesicle. Keeping
the overall concentration of the receptor constant ensures that
any differences observed in the binding behavior are purely due
to changes in the observed association constants. Five different
vesicular solutions were prepared containing 0.2, 1, 2.5, 5, and
Figure 1. Calibration curve showing the change in λmax of dansylamide
fluorescence with changing solvent polarity. The dansylamide fluorescence
was measured both in pure solvents (Blue dots: a, THF; b, CH2Cl2; c,
1-octanol; d, 1-butanol; e, ethanol; f, methanol; g, water) and water/methanol
mixtures. (Red dots, 10% increments. There is a linear relationship between
the volume fraction of a water-methanol mixture and its dielectric
12
constant. ) The dotted line shows the interpolation of λmax (538.4 nm) found
for receptor 2 in vesicles.
7
.5 mol % 2 in the lipid bilayer. Titration of copper(II) into
emission spectra of both 1 and 3 were measured in a series of
solvents. As solvent polarity increased, the dansyl fluorescence
intensity Imax decreased and wavelength maximum λmax in-
creased. The position of λmax and solvent polarity ꢀ were used
to construct a calibration curve (Figure 1). A good linear fit
was obtained for both 1 and dansylamide 3 with little difference
between the two compounds, showing that altering the polarity
of the surroundings is the major contributor to the changes in
λmax, and that changing the structure of the headgroup has a
negligible effect. The fluorescence emission spectrum of a
vesicular solution of 2 (1 mol % loading in 800 nm unilamellar
vesicles) had λmax ) 538.4 nm, and comparison with the
calibration curve indicates that the bilayer environment sur-
rounding the headgroups of the receptor 2 is akin to 4 ( 3%
water in methanol (ꢀ ∼ 35, Figure 1). This value is in good
agreement with other estimates of the polarity of the interface
these solutions revealed two effects as the membrane concentra-
tion of receptor increased: the overall binding affinity increased
dramatically and the stoichiometry changed from Cu22 to
Cu24 (Figure 2). There are clearly huge cooperative effects in
this system to the extent that the 4:1 complex, which is never
observed in solution, becomes the most stable species when the
receptors are anchored to the membrane.
We used an ML4 binding model and an iterative curve fitting
program to determine apparent bulk association constants at each
phospholipid concentration. The first binding constant K1 is
independent of the number of receptors per vesicle as expected,
but the observed values of K2 , K3 , and K4 increase with
increasing receptor to phospholipid ratio. The increase in K2
with increasing mole percent of receptor in the membrane is
shown in Figure 3. There is a clear linear correlation, and the
obs
obs
obs
obs
obs
between lipid bilayers and bulk aqueous solution,13 and shows
slope is related to the association constant in the membrane
Kn
membrane binding interaction (Figure 4).
memb
, which is the true measure of the strength of the intra-
that the receptor is positioned in a polar environment, although
clearly not in a fully aqueous environment. This clearly has to
be taken into account when interpreting the observed binding
constants. Theoretical studies by Sakurai et al.14 predict that
To understand this relationship, we define a binding constant
Knmemb in terms of the membrane concentration of the receptor:
binding interactions dependent either on hydrogen bonding or
between charged species are strongly affected by the presence
of the bilayer interface even when the local binding interaction
is positioned in the aqueous subphase.
To obtain more appropriate solution control association
constants for 1, we measured the binding constants in 4%
aqueous buffer in methanol. A 2:1 Cu12 complex was formed,
with both K1 and K2 significantly greater than in purely aqueous
buffer (Table 1). Both values are very close to those obtained
[
MR ]
memb
n memb
Kn
)
(1)
[MRn-1
]
memb[R]memb
The membrane concentration of each species X is related to its
bulk solution concentration by the fraction of the overall solvent
volume occupied by phospholipid:
[
X]solution ) [X]memb(V [PL])
(2)
m
where Vm is the molar volume of phospholipid17 and [PL] is
(
12) Jian-Zohong B.; Swicord M.; Davis C. J. Chem. Phys. 1996, 104, 4441.
13) (a) Epand, R. M.; Kraayenhof, R. Chem. Phys. Lipids 1999, 101, 57-64
(
(
b) Mazeres, S.; Schram, V.; Tocanne, J.-F.; Lopez, A. Biophys. J. 1996,
(15) (a) Try, A. C.; Sharman, G. J.; Dancer, R. J.; Bardsley, B.; Entress, R. M.
H.; Williams, D. H. J. Chem. Soc., Perkin Trans. 1 1997, 2911-2917. (b)
Sharman, G. J.; Try, A. C.; Dancer, R. J.; Cho, Y. R.; Staroske, T.; Bardsley,
B.; Maguire, A. J.; Cooper, M. A.; O’Brien, D. P.; Williams, D. H. J. Am.
Chem. Soc. 1997, 119, 12041-12047.
7
1, 327-335.
(
14) (a) Sakurai, M.; Tamagawa, H.; Inoue, Y.; Ariga, K.; Kunitake, T. J. Phys.
Chem. B 1997, 101, 4810-4816 (b) Tamagawa, H.; Sakurai, M.; Inoue,
Y.; Ariga, K.; Kunitake, T. J. Phys. Chem. B 1997, 101, 4817-4825.
J. AM. CHEM. SOC.
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