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Institute of Biophysics, University Hannover, Hannover, Germany
Correspondence: Address reprint requests to H.-A. Kolb, Institute of Biophysics, University Hannover, Herrenhäuser Str. 2, D-30419 Hannover, Germany. Fax: 49-511-762-5916; E-mail: kolb{at}biophysik.uni-hannover.de.
| ABSTRACT |
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) provided a quantitative structural calorimetry of the transition from the fluid (L
)- to the gel (Pß')-phase of supported dimyristoylphosphatidylcholine bilayers. Besides a determination of the main transition temperature (T0) and the van't Hoff transition enthalpy (
HvH), the structural analysis in the nm-scale at T close to T0 of the ripple phase allowed an experimental estimation of the area of cooperative units from small lipid domains. Thereby, the corresponding transition enthalpy (
H) of single molecules could be determined. The lipid organization and the corresponding parameters T0 and
HvH (
H) were modulated by heptanol or external Ca2+ and compared with physiological findings. The size of the cooperative unit was not significantly affected by the presence of 1 mM heptanol. The observed linear relationship of
HvH and T0 was discussed in terms of a change in heat capacity. | INTRODUCTION |
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A large number of experimental and theoretical studies of thermally induced fluid-gel transitions in phospholipid bilayers have been carried out, using a variety of biophysical methods. A conceived compilation of thermodynamic properties of lipid phases can be found in Koynova and Caffrey (1998)
and the associated database LIPIDAT. Scanning calorimetry is used as a direct method to reveal the thermodynamic properties of phase transition like transition temperatures and enthalpies (Hinz, 1972
; Mabrey and Sturtevant, 1976
; Mabrey et al., 1978
). Preferentially the main transition between gel phase and fluid phase has been elucidated. The gel phase is often subdivided into the Lß'- and the Pß'-phases, whereby the latter precedes the first, when the lipid system is cooled down from the fluid L
-phase. The Pß'-phase plays an emphasized role due to the regular surface pattern, which at first was described by Tardieu et al. (1973)
. This phase of the bilayer is characterized by a quasiperiodic undulation in one dimension which is called ripple phase. The phase was structurally investigated by electron microscopy preferentially using the freeze fracture technique (Verkleij et al., 1972
; Copeland and McConnel, 1980
; Meyer, 1996
; Meyer et al., 1996
), x-ray diffraction using synchrotron radiation (Tardieu et al., 1973
; Stamatoff et al., 1982
; Mattai et al., 1987
; Matuoka et al., 1990
, 1993
, 1994
; Hentschel and Rustichelli, 1991
; Cunningham et al., 1998
; Sun et al., 1996
; Katsaras et al., 2000
; Sengupta et al., 2003
), or neutron scattering (Mortensen et al., 1988
).
The Pß'-phase is subdivided into two substates which differ in their wavelength and shape of ripples as well as in the dependence on the cooling or heating history (Hatta et al., 1994
; Matuoka et al., 1993
; Meyer, 1996
; Cunningham et al., 1998
; Sengupta et al., 2003
; Kaasgaard et al., 2003
). The two substates are denoted as
- and
/2-ripples, because the ripple wavelength of both states differ by approximately a factor of 2 (Rüppel and Sackmann, 1983
). The structure of
/2-ripples was studied by x-ray diffraction and scanning tunneling microscopy (STM) techniques. Electron density maps, which were calculated from x-ray diffraction data, indicate for
/2-ripples a sawtooth-like shape (Wack and Webb, 1989
; Sun et al., 1996
; Woodward and Zasadzinski, 1996
; Meyer, 1996
; Katsaras et al., 2000
), whereas the
-ripples show a symmetric profile (Katsaras et al., 2000
). More recently atomic force microscopy (AFM) was used to reveal information on the morphology of the Pß'-phase of bilayers made of phosphatidylcholines (Mou et al., 1994b
; Czajkowsky et al., 1995
; Leidy et al., 2002
; Kaasgaard et al., 2003
). This approach allows us to monitor structural changes of bilayers in buffered aqueous solutions close to real-time (Beckmann et al., 1998
; Kolb et al., 1999
; Dufrene and Lee, 2000
; Giocondi et al., 2001
; Tokumasu et al., 2002
; Kaasgaard et al., 2003
).
In this article the phase transition from the L
- to Pß'-phase of dimyristoylphosphatidylcholine (DMPC) is studied at high temperature resolution (
) by AFM. The analysis of the topographies is performed at a lateral resolution in the nm-scale which allows a detailed study of the transition between
- and
/2-ripples. Besides the main transition temperature (T0), the van't Hoff transition enthalpy (
HvH) is determined. For the first time the size of cooperative units representing the collective behavior of lipid molecules could be derived from a specific image analysis. With the knowledge of the cooperative unit the enthalpy of transition of single molecules could be calculated from the van't Hoff enthalpy. The modulatory effect of heptanol and by Ca2+ in the imaging buffer on the caloric parameters is analyzed and compared with physiological findings. For the observed dependence of
HvH (
H) on T0 a nonvanishing change in heat capacity is introduced and discussed.
| MATERIALS AND METHODS |
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20 µl of the vesicle suspension was placed on the mica surface. The sample holder was placed in a sealed container together with a reservoir of water and incubated at 37°C for
30 min. The sample was allowed to cool down to room temperature before removing the excess vesicle suspension. Without allowing the sample to dry the coated mica surface was flushed 35 times with the imaging buffer (50 mM KCl, 5 mM MgCl2, 5 mM K-HEPES, pH 7.2) and mounted to the atomic force microscope (Nanoscope IIIa, Multimode, Veeco Instruments, Mannheim, Germany).
Temperature-controlled atomic force microscope
The atomic force microscope was modified as follows to adjust and to record on-line the temperature of the sample during image acquisition. The head module of the microscope, which houses the deflection detecting optics and electronics were equipped with low-cost Peltier modules (Conrad Elektronik, Hischau, Germany). The Peltier modules were controlled by a LabView System (National Instruments, Austin, TX). To avoid thermal drifts, the driving signal of the Peltier devices was generated by a closed-loop continuous software PI-controller whereby the error signal was delivered from a surface temperature sensor glued to the head module. The hot side of each Peltier device was connected to an aluminum block with a cylindrical cranial open chamber which was filled with water. In each cooling chamber a bar from copper was immersed in a way that the walls were not in contact with the bar. The two bars were fixed with a tripod and connected to an aluminum block, which was placed in an ice-cooled container. In this way the temperature of the hot side of the Peltier devices was kept at sufficiently low temperatures whereas substantial mechanical noise was avoided.
The sample temperature was monitored by a digital thermometer GMH 3230 (Greisinger, Regenstauf, Germany) equipped with a coated miniature probe (Physitemp IT23, Clifton, NJ). Because the viton-seal of the commercial fluid cell was not used, the small temperature probe could be placed directly into the fluid cell in close proximity of the sample surface and in direct contact to the imaging buffer.
Image acquisition and processing
All images were acquired in contact mode using Silicon-Nitride Olympus OMCL-PSA 400 tips with a spring constant of 0.02 N/m (Olympus, Tokyo, Japan) at a scan rate of
6 lines/s at minimal loading force. After adjusting the temperature to a new value the setup was allowed to equilibrate for
510 min until the thermal drift was well below 0.1 K/min.
The topographies were post-processed by a homemade software and the Film GIMP Image Processing System (movieEditor, Beverly Hills, CA). After adding the calibrated error signal images to the topographies, to produce more accurate topographies (Enders et al., 2001
), which are in first-order independent of the actual settings of the feedback circuit of the microscope and the scanning speed, each scan line was flattened by subtracting the result of a polynomial fit up to the third order. In general, only those samples were considered for this fit that corresponded to nonelevated domains in the topographies. To remove high frequency noise, the topographies were processed by a Gaussian spatial filter (
= 1.5, 21 x 21 matrix).
Height histograms were calculated using Film GIMP. For further description of image analysis, see Results.
To determine the size of the cooperative unit, a correlation difference image of two consecutive scans was needed (see Results). The drift vector between the two images in the x,y-plane was calculated by determination of the global maximum of the correlation coefficient function of the two topographical or deflection maps. The difference image was produced by subtracting the second topography from the first one, corrected by the drift vector. The correlation procedure is necessary to compensate for lateral drifts of the scanner, which can be caused by time-dependent temperature gradients. The derived image is called correlation difference image.
Three-dimensional rendering of images was performed using the software package dxopen (IBM, Armonk, NY). Data are given as mean ± SD.
| RESULTS |
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4.8 nm. A representative image is shown in Fig. 1 a. In the figure, which was recorded at 302.6 K, the membrane surface exhibits an irregular corrugated topography with height differences (peak to bottom) below
0.2 nm. At this temperature the DMPC bilayer can be considered to be in the fluid-crystalline- or L
-phase (Koynova and Caffrey, 1998
0.3 nm. The ripples run almost equidistant and form regular domains of 1030 ripples in parallel to each other. From the corresponding Fourier transform of such domains a periodicity of 12.3 ± 0.3 nm is obtained. If a change in direction of the ripples is observed, it occurs predominantly at an angle of 118 ± 9°.
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- to the Pß'-phase. The temperature is lowered stepwise and the bilayer surface is imaged respectively. Fig. 2 shows four representative images at temperatures of 297.0296.1 K, which are within the temperature range of main transition. At the onset of main transition at 297.0 K (Fig. 2 a) the first ripples emerge out of the smooth bilayer surface, which are characteristic for the gel phase (compare Fig. 1 b). At a lower temperature, 296.7 K (Fig. 2 b), the ripple density increases visibly, until the surface becomes almost completely covered by ripples at 296.3 K (Fig. 2 c). Cooling the sample further by 0.2 K causes a sudden and significant change of density and profile of ripples (Fig. 2 d). The ripples are closer to each other and the periodicity of the ripples reflects now those already shown in Fig. 1 b. The profiles of the ripples are given in the insets of Fig. 2, c and d. As can be read from the insets, the corresponding wavelength is reduced by a factor of 2 which can be attributed to a change from the
-ripples to the
/2-ripples (Rüppel and Sackmann, 1983
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) can be estimated. The frequency histogram of heights of the image is calculated, and a suitable threshold of the lower height level is selected to separate the smooth bilayer of the L
-phase from the ripple structure of the Pß'-phase. Fig. 3 shows an example of this image analysis. The blue area represents the L
-phase. The corresponding threshold is drawn as a vertical line in the height histogram (inset). The integral of histogram below this threshold reflects the area of L
-phase, whereas the integral of the height histogram above the threshold corresponds to the area of bilayer in the Pß'-phase. The latter value divided by the total integral yields the fraction
Because a high resolution is applied that allows us to identify individual ripples, the intermediate heights along their profile also contribute to the height histogram. Thereby, the height distributions appear to be widened and in many cases two separate Gaussian-like distributions cannot be easily discriminated especially for temperatures below the main transition (compare height distributions in Fig. 2). The derived relation
as a function of temperature is given in Fig. 6. The data points, especially in the range of main transition, present the mean value of up to three analyzed images at approximately the same temperature within a resolution of 0.1 K.
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If K is the equilibrium constant of the phase transition between the two phases,
![]() | (1) |
![]() | (2) |
![]() | (3) |
HvH represents the van't Hoff transition enthalpy, R the gas constant, and T0 the temperature at K = 1, where half of the bilayer is in Pß'-phase. T0 is defined as the temperature of main transition. It should be noticed that in Eq. 3 the influence of a change of heat capacity at the transition is neglected (see Discussion). From Eqs. 2 and 3,
can be expressed as a function of T,
![]() | (4) |
HvH. The corresponding values are included in Table 1.
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versus temperature is included in Fig. 6. From a description of
vs. T by Eq. 4, the values of T0 and
HvH could be determined (Table 1). With increasing heptanol concentration T0 decreases and
HvH increases.
It can be read from Fig. 6 that the temperature-width of phase transition decreases with increasing heptanol concentration. Therefore, within the limit of temperature resolution of
0.1 K a comparison of Fig. 5, a and d, as well as of Fig. 5, b and e, shows that a transition from the
- to the
/2-ripples can be discriminated at lower heptanol concentration. The height of
-ripples decreased with increasing heptanol concentration (0 mM heptanol: 0.30 ± 0.05 nm (N = 21), 1 mM heptanol: 0.27 ± 0.05 nm (N = 9), and 2 mM heptanol: 0.18 ± 0.02 nm (N = 15)). But at 3 mM heptanol the phase transition is completed within a small temperature interval of
0.4 K, which did not allow a discrimination between
- and
/2-ripples. Fig. 5 c is recorded at 3 mM heptanol and 291.6 K and shows the L
-phase and a few ripple-like structures. At 291.3 K the total area is already covered by
/2-ripples (Fig. 5 f). After washout of 3 mM heptanol the recorded phase transition (Fig. 6) closely resembles the behavior of the heptanol-free DMPC bilayer which can be seen from the derived values of T0 and
HvH (Table 1). This finding indicates an almost reversible effect of heptanol on the main transition.
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0.8 K and
HvH decreases significantly as compared to the control. Because the temperature-width of phase transition increased by the presence of Ca2+ (Fig. 6),
- and
/2-ripples could be discriminated (data not shown).
Cooperative unit nc
It is known that the derivation of
HvH strongly depends on the average number of interacting lipid molecules which transit from the L
-phase to the Pß'-phase (Hinz, 1972
). This number is noted as cooperative unit nc. By correlation analysis, nc could be determined from pairs of consecutive images. The images (Fig. 4, a and b) were obtained at a time difference of
3 min and a temperature decrease of
Using a correlation algorithm to take into account a possible drift of the position of the scanned area in respect to the tip, the two images could be subtracted from each other. Fig. 4 c shows as a result elevated domains of newly emerged ripples and deeper domains corresponding to ripples which disappeared as well as unchanged lipid areas of intermediate height. For clearer presentation, Fig. 4 d shows the newly emerged ripples and the domains wherein ripples disappeared as different colors. A possible overestimation of the size of the respective domains by lateral aggregation was minimized by selecting pairs of images showing a lower density of domains. The analysis of nc was performed on the basis of six difference images. The average number of domains per difference image was 164 for emerged domains and 119 for domains wherein ripples disappeared. The two types of domains, those of emerged ripples and of domains wherein ripples disappeared, had a mean area of 239 ± 103 nm2 and 117 ± 19 nm2, respectively. Both values should be considered as upper-limit. Assuming an average interfacial area of 0.6 nm2 per lipid molecule of the bilayer (Kucerka et al., 2003
; Nagle and Tristram-Nagle, 2000
), cooperative units of 398 ± 172 and 195 ± 32 molecules were obtained, respectively. The two values are comparable within the experimental error. In both cases the size of the cooperative unit was not significantly affected by the presence of heptanol. Within the SD no tendency of a temperature dependence of the cooperative units was observed in the range of
but a change of nc at phase transition cannot be excluded.
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Using the value of nc = 195 molecules (see Discussion), the transition enthalpy of single lipid molecules
H could be calculated according to (Hinz, 1972
)
![]() | (5) |
H are included in Table 1. | DISCUSSION |
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), which was applied at a lateral resolution in the nm-range for image analysis of mica-supported DMPC bilayers. Besides the transition temperature (T0), the van't Hoff transition enthalpy (HvH) and the as-yet theoretically introduced cooperative unit could be derived from structural data. In addition, the analysis is applied to reveal the effect of the incorporation of the long chain alcohol heptanol on the main transition. Heptanol was used to elucidate the mechanism of electrical uncoupling of gap junctions by long chain alcohols (compare to Somogyi and Kolb, 1988
Structural properties of ripple phase
To prepare defect-free smooth DMPC-bilayer surfaces, the image analysis was started above T0 in the L
-phase. Cooling to temperatures below T0 (Fig. 2) exhibited the characteristic topography of ripples as well as the transition from
- to
/2-ripples of Pß'-phase. Because unilamellar supported bilayers do not exhibit a ripple-like topography (Fang and Yang, 1996
; Leidy et al., 2002
), we suppose that the applied vesicle fusion method yields defect-free multilamellar bilayers. The observed
/2-ripple structure is characterized by a wavelength of 12.3 nm, which is in reasonable agreement with the results of STM (10.7 nm; Woodward and Zasadzinski, 1996
), transmission electron microscopy (11 nm; Woodward and Zasadzinski, 1996
), x-ray diffraction (12 nm; Janiak et al., 1976
, 1979
); or 14.3 nm (Wack and Webb, 1989
) and AFM (12.5 nm; Leidy et al., 2002
). The observed change of direction of ripple structures by
118° is comparable to the results of Mou et al. (1994b)
.
The observed ripple amplitude of
0.3 nm is comparable with a value of 0.2 nm as derived from electron density maps (Sengupta et al., 1999
), but application of STM yielded 2.4 nm (Woodward and Zasadzinski, 1996
).
Structure of the bilayer at main transition
An important structural feature of the transition from the L
- to Pß'-phase is the gradual appearance of ripples if the bilayer is cooled down (Fig. 2). The ripples are not as ordered as reported in Leidy et al. (2002)
and Kaasgaard et al. (2003)
. However, it has to be taken into account that the main transition is passed in cooling direction in our experiments. Cooling the sample to a temperature of 296.2 K leads to a sudden change of the morphology from
- to
/2-ripples (see also Fig. 1 b). The profiles of the two ripple morphologies (Fig. 2) exhibit that the width of
/2-ripples is approximately one-half the width of
-ripples and that the height of
/2-ripples is significantly reduced. This is in accordance with the results of Kaasgaard et al. (2003)
.
If the sample is heated again, the
/2-ripples melt directly into L
-phase without converting to
-ripples (data not shown) (compare Hatta et al., 1994
; Matuoka et al., 1993
; Meyer, 1996
; Cunningham et al., 1998
; Sengupta et al., 2003
; Kaasgaard et al., 2003
). The data indicate that
-ripples are only generated during the cooling process.
Structural calorimetry and estimation of the cooperative unit nc
For the performed structural calorimetry it can be assumed that the sample in fluid is close to thermodynamic equilibrium, because the integral temperature rate was well below 0.1 K/min (Mabrey and Sturtevant, 1976
).
The image analysis is based on the derivation of suitable frequency histograms of heights as introduced by Tokumasu et al. (2002)
. Tokumasu and co-workers analyzed supported unilamellar DMPC-patches by an atomic force microscope at µm-scale, which was placed in a temperature-controlled chamber. In the present experiments the upper surface of multilamellar bilayer was analyzed at nm-resolution and the image analysis was focused to T close to T0.
The obtained value of T0 = 296.5 K (Fig. 6, Table 1) for DMPC-bilayers is in suitable agreement with values derived from differential scanning calorimetry (Koynova and Caffrey, 1998
). The van't Hoff transition enthalpy
HvH of
2500 kJ/mol could be determined from Fig. 6 as well. By use of differential scanning calorimetry
HvH values of 35,650 ± 2400 kJ/mol (Sturtevant, 1998
), 7456 kJ/mol (Mabrey and Sturtevant, 1976
), and 5240 ± 1200 kJ/mol (Hinz, 1972
) were reported. But differential scanning calorimetry is applied to vesicle suspensions whereas for image analysis supported planar bilayers are used. It is known that the vesicle diameter also influences the enthalpy of phase transition. Such an influence has been proposed from measurements of the heat capacity (Nagano et al., 1995
). Therefore it appears likely that the different values of
HvH could be related to the different geometry of the lipid system under investigation. It has to be noticed that
HvH was determined using the classical van't Hoff equation (Eq. 3). But, the general validity of the van't Hoff equation was questioned (Weber, 1995b
) and has been controversially discussed (Holtzer, 1995
; Ragone and Colonna, 1995
; Weber, 1995a
, 1996a
,b
; Ross, 1996
). Weber (1995b)
suggested that the different values of the van't Hoff and the calorimetric (true) reaction enthalpy are caused by neglecting a temperature dependence of enthalpy and entropy. The magnitude of the difference will be estimated in the following.
Due to the lack of detailed knowledge about the involved intermolecular interactions, Weber (1995b)
describes the temperature dependence by a constant number of intermolecular bonds of the reactants of homogeneous energy E. But a cooperativity is not considered. These bonds are thermally affected during the reaction with an average probability p of transient bond breakage
Koynova and Caffrey (1998)
determined an average calorimetric transition enthalpy of
25 kJ/mol for DMPC. If the number of bonds per DMPC molecule ranges from a minimal value of 128 (one bond for each CH2-group of DMPC), E would be in the range of 0.925 kJ/mol. Using the formalism of Weber (1995b)
the structurally determined values of
HvH (Table 1) could be biased by values in the range of 0.514 kJ/mol and possibly account for the difference mentioned above.
For comparison of the structurally derived transition enthalpy of single molecules
HvH with the calorimetric transition enthalpy, the cooperative unit nc is introduced (see Eq. 5; see also Hinz, 1972
). It is proposed that nc can be estimated from structural data at the temperature range of phase transition by the number of interacting molecules.
The corresponding data were obtained from the difference of pairs of consecutive images (Fig. 4), recorded at approximately the same temperature (see below). The representative Fig. 4 indicates that the molecules of a cooperative unit are organized in small lipid domains. For the two types of domains, emerged ripples and domains wherein ripples disappeared and cooperative units were obtained, respectively, of 398 ± 172 and 195 ± 32 molecules. The larger mean value of nc for emerged ripples could be caused by the fact that the phase transition (Eq. 1) of the bilayer is not analyzed at true equilibrium. Probably due to the ongoing cooling process of <0.1 K/min the equilibrium is shifted to the Pß'-phase. Such a shift could cause the observed higher density of domains appearing in the Pß'-phase than disappearing from L
-phase yielding virtually larger domains for the Pß'-phase. A possible dependence of nc on temperature and/or the phase state cannot be excluded. According to this consideration, a value of nc = 195 molecules is assumed for the further. The value nc is of the order of magnitude as theoretically derived (100 ± 50, Hinz, 1972
; 330, Mabrey and Sturtevant, 1976
; 1720 ± 120, Sturtevant, 1998
). Using Eq. 5 a transition enthalpy for single molecules of
H = 15.0 kJ/mol is obtained. This value is lower than the average value
H = 25.1 ± 10.1 kJ/mol as mainly determined by differential scanning calorimetry (Koynova and Caffrey, 1998
), but comparable within the standard deviation.
Effect of heptanol and Ca2+ on main transition
At increasing concentration heptanol shifts T0 to lower values (Table 1). This is in accordance with observations, that alcohols and alcanes (McIntosh et al., 1980
) of lower chain length, compared to the acyl chain of lipid, reduce T0 (Löbbecke and Cevc, 1995
; Eliasz et al., 1976
). A heptanol-mediated structural change by interdigitation can be ruled out at these low concentrations (Rowe and Campion, 1994
). Furthermore, interdigitation should lead to a significant reduction in membrane thickness for the gel phase (Mou et al., 1994a
), which was not observed in the experiments.
It is proposed that a decrease of T0 is responsible for the known regulatory influence of heptanol on the gating of gap junctional coupling. This assumption is supported by the observation that gap junctional coupling is blocked by heptanol or octanol concentrations as low as 1 mM (Somogyi and Kolb, 1988
; Takens-Kwak et al., 1992
). At this concentration T0 is reduced by
0.7 K (Table 1). Furthermore, the washout of heptanol leads to values of T0 and
HvH as observed in the absence of heptanol (Table 1). This reversibility is consistent with electrophysiological results, which show that heptanol- or octanol-induced gap junctional uncoupling is reversible in the minute range (Somogyi and Kolb, 1988
; Takens-Kwak et al., 1992
). Therefore it is proposed that heptanol fluidizes the lipid bilayer adjacent to the head-to-head associated cell-to-cell channels of neighboring cells forming the gap junctional coupling. The observed fluidization of the lipid bilayers could cause closure of the cell-to-cell channels of gap junctions.
After replacement of Mg2+ by Ca2+ in the imaging buffer an opposite effect is observed on the shift of T0, which is in agreement with earlier results (Chapman et al., 1977
; Sturtevant, 1998
). It has been reported that divalent cations Ca2+-ions and Mg2+-ions bind to the membrane surface of negatively charged and neutral lipids like DMPC, changing the surface potential (Altenbach and Seelig, 1984
), the headgroup orientation (Seelig, 1990
), and the dipole potential (Clarke and Lüpfert, 1999
). Thereby, Ca2+ modifies the hydration shell of the headgroup region of the bilayer more effectively according to the Hofmeister series (Chapman et al., 1977
). This might explain why Ca2+-ions shift the phase-transition temperature compared to Mg2+-ions.
Dependence of
H on T0
The transition enthalpies
H and
HvH show a significant dependence on the concentration of heptanol and on the presence of Ca2+-ions. Ca2+ leads to a decrease of
H (increase of T0), whereas heptanol increases
H (decrease of T0, Fig. 7).
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Cp at the transition from L
- to Pß'-phase is considered. The approach of Naghibi et al. (1995)
![]() | (6) |
Hr the corresponding transition enthalpy. Taking into account the number of molecules nc in a cooperative unit as well as Eq. 5, Eq. 3 can be expressed as
![]() | (7) |
H0 represents the transition enthalpy at the reference temperature, which is chosen to be T0. Eq. 7 represents an obvious improvement of the classical van't Hoff equation. But, as already pointed out by Chaires (1997)
Eq. 6 indicates that
H depends linearly on T0 due to a nonvanishing value of
Cp. If Eq. 6 is applied to the data of Fig. 7,
Cp = 5.6 ± 0.4 kJ/(mol K) is derived. It is proposed that a change of
HvH (
H) by heptanol and Ca2+-ions is a consequence of a nonvanishing value of
Cp and a shift of T0. A similar relationship of transition enthalpy and transition temperatures with slopes of the same order can be derived from Table 1 in Sturtevant (1998)
or the inset of Fig. 1 in Mabrey and Sturtevant (1976)
, but a contribution of
Cp at the main transition was not considered.
Further studies are necessary to evaluate whether the size of observed domains of emerged ripples as well as of domains wherein ripples disappeared change phase at transition. A change could indicate a temperature-dependent cooperativity of lipid molecules in a leaflet of a bilayer.
| ACKNOWLEDGEMENTS |
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Submitted on January 15, 2004; accepted for publication June 21, 2004.
| REFERENCES |
|---|
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Beckmann, M., P. Nollert, and H. A. Kolb. 1998. Manipulation and molecular resolution of a phosphatidylcholine-supported planar bilayer by atomic force microscopy. J. Membr. Biol. 161:227233.[CrossRef][Medline]
Chaires, J. B. 1997. Possible origin of differences between van't Hoff and calorimetric enthalpy estimates. Biophys. Chem. 64:1523.[CrossRef][Medline]
Chapman, D., W. E. Peel, B. Kingston, and T. H. Lilley. 1977. Lipid phase transitions in model biomembranes. The effect of ions on phosphatidylcholines. Biochim. Biophys. Acta. 464:260275.[Medline]
Clarke, R. J., and C. Lüpfert. 1999. Influence of anions and cations on the dipole potential of phosphatidylcholine vesicles: a basis for the Höfmeister effect. Biophys. J. 76:26142624.
Copeland, B. R., and H. M. McConnel. 1980. The rippled structure in bilayer membranes of phosphatidylcholine and binary mixtures of phosphatidylcholine and cholesterol. Biochim. Biophys. Acta. 599:95109.[Medline]
Cunningham, B. A., A. Brown, D. H. Wolfe, W. P. Williams, and A. Brain. 1998. Ripple phase formation in phosphatidylcholine: effects of acyl chain relative length, position and unsaturation. Phys. Rev. E. 58:36623672.[CrossRef]
Czajkowsky, D. M., C. Huang, and Z. Shao. 1995. Ripple phase in asymmetric unilamellar bilayers with saturated and unsaturated phospholipids. Biochemistry. 34:1250112505.[CrossRef][Medline]
de Kruijff, B. 1997. Biomembranes. Lipids beyond the bilayer. Nature. 386:129131.[CrossRef][Medline]
Dufrene, Y. F., and G. U. Lee. 2000. Advances in the characterization of supported lipid films with the atomic force microscope. Biochim. Biophys. Acta. 1509:1441.[Medline]
Eliasz, A. W., D. Chapman, and D. F. Ewing. 1976. Effects of n-alcohols, n-monocarboxylic acids, phenyl alkyl alcohols and quaternary ammonium compounds. Biochim. Biophys. Acta. 448:220230.[Medline]
Enders, O., E. Martinoia, C. Zeilinger, and H.-A. Kolb. 2001. Identification of membrane proteins imaged by atomic force microscopy using a template matching algorithm. Chinese Phys. 10S:100108.
Fang, Y., and J. Yang. 1996. Role of the bilayer-bilayer interaction on the ripple structure of supported bilayers in solution. J. Phys. Chem. 100:1561415619.[CrossRef]
Giocondi, M.-C., L. Pacheco, P. E. Milhiet, and C. L. Grimellec. 2001. Temperature dependence of the topology of supported dimyristoyl-distearoyl phosphatidylcholine bilayers. Ultramicroscopy. 86:151157.[CrossRef][Medline]
Hatta, I., S. Matuoka, M. A. Singer, and L. Finegold. 1994. A new liquid crystalline phase in phosphatidylcholine bilayers as studied by x-ray diffraction. Chem. Phys. Lipids. 69:129136.[CrossRef][Medline]
Hentschel, M. P., and F. Rustichelli. 1991. Structure of the ripple phase Pß' in hydrated phosphatidylcholine multimembranes. Phys. Rev. Lett. 66:903906.[CrossRef][Medline]
Hinz, H. J. 1972. Calorimetric studies of dilute aqueous suspensions of bilayers formed from synthetic L-
-lecithins. J. Biol. Chem. 247:60716075.
Holtzer, A. 1995. Comment on "van't Hoff revisited: enthalpy of association of protein subunits". J. Phys. Chem. 99:1304813049.[CrossRef]
Janiak, M. J., D. M. Small, and G. G. Shipley. 1976. Nature of thermal pretransition of synthetic phospholipids: dimyristoyl- and dipalmitoyllecithin. Biochemistry. 15:45754580.[CrossRef][Medline]
Janiak, M. J., D. M. Small, and G. G. Shipley. 1979. Temperature and compositional dependence of the structure of hydrated dimyristoyl lecithin. J. Biol. Chem. 254:60686078.
Kaasgaard, T., C. Leidy, J. H. Crowe, O. G. Mouritsen, and K. Jorgensen. 2003. Temperature-controlled structure and kinetics of ripple phases in one- and two-component supported lipid bilayers. Biophys. J. 85:350360.
Katsaras, J., S. Tristram-Nagle, Y. Liu, R. L. Headrick, E. Fontes, P. C. Mason, and J. F. Nagle. 2000. Clarification of the ripple phase of lecithin bilayers using fully hydrated, aligned samples. Phys. Rev. E. 61:56685677.[CrossRef]
Kolb, H.-A., O. Enders, and R. Schauer. 1999. Morphology of native and reconstituted biological membranes and their components analysed with atomic force microscopy. Appl. Phys. A. 68:247254.[CrossRef]
Koynova, R., and M. Caffrey. 1998. Phases and phase transitions of the phosphatidylcholines. Biochim. Biophys. Acta. 1376:91145.[Medline]
Kucerka, N., M. A. Kiselev, and P. Balgavy. 2003. Determination of bilayer thickness and lipid surface area in unilamellar dimyristoylphosphatidylcholine vesicles from small-angle neutron scattering curves: a comparison of evaluation methods. Eur. Biophys. J. E-pub. DOI: 10.1007/s0024900303490.
Leidy, C., T. Kaasgaard, J. H. Crowe, O. G. Mouritsen, and K. Jorgensen. 2002. Ripples and the formation of anisotropic lipid domains: imaging two component-supported double bilayers by atomic force microscopy. Biophys. J. 83:26252633.
Löbbecke, L., and G. Cevc. 1995. Effects of short-chain alcohols on the phase behaviour and interdigitation of phosphatidylcholine bilayer membranes. Biochim. Biophys. Acta. 1237:5969.[Medline]
Mabrey, S., P. L. Mateo, and J. M. Sturtevant. 1978. Ca2+ binding to phosphatidylcholine bilayers as studied by deuterium magnetic resonance. Evidence for the formation of a Ca2+ complex with two phospholipid molecules. Biochemistry. 17:24642468.[CrossRef][Medline]
Mabrey, S., and J. M. Sturtevant. 1976. Investigation of phase transitions of lipids and lipid mixtures by sensitivity differential scanning calorimetry. Proc. Natl. Acad. Sci. USA. 73:38623866.
Mattai, J., P. K. Sripada, and G. G. Shipley. 1987. Mixed-chain phosphatidylcholine bilayers: structure and properties. Biochemistry. 26:32873297.[CrossRef][Medline]
Matuoka, S., S. Kato, M. Akiyama, Y. Amemiya, and I. Hatta. 1990. Temperature dependence of the ripple structure in dimyristoylphosphatidylcholine studied by synchrotron x-ray small-angle diffraction. Biochim. Biophys. Acta. 1028:103109.[Medline]
Matuoka, S., S. Kato, and I. Hatta. 1994. Temperature change of the ripple structure in fully hydrated dimyristoylphosphatidylcholine/cholesterol multibilayers. Biophys. J. 67:728736.
Matuoka, S., H. Yao, S. Kato, and I. Hatta. 1993. Condition for the appearance of the metastable Pß' phase in fully hydrated phosphatidylcholines as studied by small-angle x-ray diffraction. Biophys. J. 64:14561460.
McIntosh, T. J., S. A. Simon, and R. C. MacDonald. 1980. The organization of n-alkanes in lipid bilayers. Biochim. Biophys. Acta. 597:445463.[Medline]
Meyer, H. W. 1996. Pretransition-ripples in bilayers of dipalmitoylphosphatidylcholine: undulation or periodic segments? A freeze-fracture study. BBA Lipid Met. 1302:138144.
Meyer, H. W., B. Dobnerb, and K. Semmler. 1996. Macroripple-structures induced by different branched-chain phosphatidylcholines in bilayers of dipalmitoylphosphatidylcholine. Chem. Phys. Lipids. 82:179189.[CrossRef]
Mortensen, K., W. Pfeiffer, E. Sackmann, and W. Knoll. 1988. Structural properties of a phosphatidylcholine-cholesterol system as studied by small-angle neutron scattering: ripple structure and phase diagram. Biochim. Biophys. Acta. 945:221245.[Medline]
Mou, J., J. Yang, C. Huang, and Z. Shao. 1994a. Alcohol induces interdigitated domains in unilamellar phosphatidylcholine bilayers. Biochemistry. 33:99819985.[CrossRef][Medline]
Mou, J., J. Yang, and Z. Shao. 1994b. TRIS (hydroxymethyl)aminomethane (C4H11NO3) induced a ripple phase in supported unilamellar phospholipid bilayers. Biochemistry. 33:44394443.[CrossRef][Medline]
Nagano, H., T. Nakanishi, H. Yao, and K. Ema. 1995. Effect of vesicle size on the heat capacity anomaly at the gel to liquid-crystalline phase transition in unilamellar vesicles of dimyristoylphosphatidylcholine. Phys. Rev. E. 52:42444250.[CrossRef]
Naghibi, H., A. Tamura, and J. M. Sturtevant. 1995. Significant discrepancies between van't Hoff and calorimetric enthalpies. Proc. Natl. Acad. Sci. USA. 92:55975599.
Nagle, J. F., and S. Tristram-Nagle. 2000. Structure of lipid bilayers. Biochim. Biophys. Acta. 1469:159195.[Medline]
Ragone, R., and G. Colonna. 1995. Reliability of the van't Hoff plots. J. Phys. Chem. 99:13050.[CrossRef]
Ross, J. 1996. Comments on the article "Persistent confusion of total entropy and chemical system entropy in chemical thermodynamics". Proc. Natl. Acad. Sci. USA. 93:74527453, 14314.
Rowe, E. S., and J. M. Campion. 1994. Alcohol induction of interdigitation in distearoylphosphatidylcholine: fluorescence studies of alcohol chain length requirements. Biophys. J. 67:18881895.
Rüppel, D., and E. Sackmann, 1983. On defects in different phases of two-dimensional lipid bilayers. J. Phys. (Fr.) 44:10251034.
Seelig, J. 1990. Interaction of phospholipids with Ca2+ ions. On the role of the phospholipid head groups. Cell Biol. Int. Rep. 14:353360.[CrossRef][Medline]
Sengupta, K., V. A. Raghunathan, and J. Katsaras. 1999. Structure of the ripple phase in chiral and racemic dimyristoylphosphatidylcholine multibilayers. Phys. Rev. E. 59:24552457.[CrossRef]
Sengupta, K., V. A. Raghunathan, and J. Katsaras. 2003. Structure of the ripple phase of phospholipid multibilayers. Phys. Rev. E. 68:031710/1031710/12.
Shen, Y.-M. A., O. I. Chertihin, R. L. Biltonen, and J. J. Sando. 1999. Lipid-dependent activation of protein kinase C
by normal alcohols. J. Biol. Chem. 274:3403634044.
Somogyi, R., and H.-A. Kolb. 1988. Cell-to-cell channel conductance during loss of gap junctional coupling in pairs of pancreatic acinar and Chinese hamster ovary cells. Pflugers Arch. 412:5465.[Medline]
Stamatoff, J., B. Feuer, H. J. Guggenheim, G. Tellez, and T. Yamane. 1982. Amplitude of rippling in the Pß-phase of dipalmitoylphosphatidylcholine bilayers. Biophys. J. 38:217226.
Sturtevant, J. M. 1998. The effect of sodium chloride and calcium chloride on the main phase transition of dimyristoylphosphatidyl-choline. Chem. Phys. Lipids. 95:163168.[CrossRef]
Sun, W.-J., S. Tristram-Nagle, R. M. Suter, and J. H. Nagle. 1996. Structure of the ripple phase in lecithin bilayers. Proc. Natl. Acad. Sci. USA. 93:70087012.
Takens-Kwak, B. R., H. J. Jongsma, M. B. Rook, and A. C. V. Ginneken. 1992. Mechanism of heptanol-induced uncoupling of cardiac gap junctions: a perforated patch-clamp study. Am. J. Physiol. 262:C1531C1538.[Medline]
Tardieu, A., V. Luzzati, and F. C. Remann. 1973. Structure and polymorphism of the hydrocarbon chains of lipids. J. Mol. Biol. 75:711733.[CrossRef][Medline]
Tokumasu, F., A. J. Jin, and J. Dvorak. 2002. Lipid membrane phase behaviour elucidated in real time by controlled environment atomic force microscopy. J. Electron Microsc. (Tokyo). 51:19.
Valiyaveetil, F., Y. Zhou, and R. MacKinnon. 2002. Lipids in the structure, folding, and function of the KcsA K+ channel. Biochemistry. 41:1077110777.[CrossRef][Medline]
Verkleij, A. J., P. H. Ververgaert, L. L. van Deenen, and P. F. Elbers. 1972. Phase transitions of phospholipid bilayers and membranes of Acholeplasma laidlawii B visualized by freeze fracturing electron microscopy. Biochim. Biophys. Acta. 288:326332.[Medline]
Wack, D. C., and W. W. Webb. 1989. Synchrotron x-ray study of the modulated lamellar phase Pß' in the lecithin water system. Phys. Rev. A. 40:27122730.[CrossRef][Medline]
Weber, G. 1995a. Reply to the comment "van't Hoff revisited: enthalpy of association of protein subunits". J. Phys. Chem. 99:13051.[CrossRef]
Weber, G. 1995b. van't Hoff revisited: Enthalpy of protein subunits. J. Phys. Chem. 99:10521059.[CrossRef]
Weber, G. 1996a. Persistent confusion of total entropy and chemical system entropy on chemical thermodynamics. Proc. Natl. Acad. Sci. USA. 93:74527453.
Weber, G. 1996b. Response by the author. Proc. Natl. Acad. Sci. USA. 93:14315.
Williamson, I. M., S. J. Alvis, J. M. East, and A. G. Lee. 2003. The potassium channel KcsA and its interaction with the lipid bilayer. Cell. Mol. Life Sci. 60:15811590.[CrossRef][Medline]