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* Department of Pharmaceutical Chemistry, University of California at San Francisco, San Francisco, California;
Joint Graduate Group in Bioengineering, University of California at San Francisco and Berkeley, San Francisco, California; and
Department of Biopharmaceutical Sciences, University of California at San Francisco, San Francisco, California
Correspondence: Address reprint requests to Francis C. Szoka, Jr., Dept. of Biopharmaceutical Sciences, HSE 1145, 513 Parnassus Ave., University of California, San Francisco, CA 94143-0446. Tel.: 415-476-3895; Fax: 415-476-0688; E-mail: szoka{at}cgl.ucsf.edu.
| ABSTRACT |
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16 PE lipids on the external monolayer as the contact site required for lipid mixing between two bilayers. | INTRODUCTION |
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Recently, we described an acid-labile conjugate of polyethylene glycol and distearoyl glycerol via a diortho ester linkage (POD, Fig. 1, inset; Guo and Szoka, 2001
). At neutral pH, POD was relatively stable and its presence provided a steric hindrance to prevent bilayer contact between DOPE-rich vesicles. The steric hindrance also interfered with the interaction of serum components with the bilayer. When the pH was decreased, the POD was rapidly hydrolyzed, leading to the aggregation and leakage of the PE-rich lipid vesicles. A minimum-surface-shielding model was proposed to account for the pH-dependent phase changes in POD/DOPE lipid vesicles (Fig. 1; Guo and Szoka, 2001
). The lamellar structures of POD/DOPE vesicles are thought to remain intact until the proton-catalyzed POD hydrolysis lowered the number of PEG groups on the liposome surface to a critical level, at which the PE-rich bilayers are no longer sufficiently shielded from interbilayer contact. When the bilayers contact, vesicle aggregation, membrane mixing, and contents leakage are triggered (Bentz et al., 1983
; Ellens et al., 1984
) in lipid vesicles prepared from a variety of hexagonal phase-competent lipids. However, in DOPE liposomes stabilized by BVEP, an acid-labile diplasmenyl lipid conjugate of PEG5000 (Boomer and Thompson, 1999
), contents release and phase transition are independent of intervesicular lipid mixing. Inasmuch as membrane mixing before fusion plays a critical role in the intracellular delivery of macromolecules encapsulated in lipid vesicles (Drummond et al., 2000
), it is important to learn if the pH-triggered contents release requires interbilayer contact in the POD liposomes or if they behave like the BVEP-stabilized liposomes.
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| MATERIALS AND METHODS |
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Liposome preparation
Liposomes were prepared by the freeze-thawing method based on the procedure of Monnard and co-workers (1997)
. A chloroform solution of POD, PEG-DSG, POPE, and/or DOPE in desired molar ratio (10 µmol total lipid) was added to a Pyrex brand glass tube. For lipid-mixing assays, the chloroform solution was mixed with NBD-PE and Rh-PE (1 mol% each in sample vesicles; 0.167 mol% each in control vesicles) in chloroform. Chloroform was evaporated under reduced pressure (27 mm Hg) at room temperature to form a lipid film at the bottom of the Pyrex tube. The lipid film was placed under high vacuum for 1 h to remove residual chloroform. The film was then hydrated with an appropriate aqueous buffer by 20 min of intermittent agitation with a vortex at 4°C. The tube containing the lipid suspension was then filled with argon and sealed. The lipid suspension was rapidly frozen by submergence into liquid nitrogen, followed by melting by incubation in water at room temperature for 15 min. The freeze-thawing cycle was repeated 10 times and the resultant liposomes were extruded five times through a 0.2-µm polycarbonate membrane (Nucleopore, Pleasanton, CA) with a hand-held extrusion device (Avestin, Ottawa, Ontario, Canada).
Liposomes for leakage assays were prepared using an alkaline buffer with the ANTS fluorophore (50 mM ANTS, 50 mM DPX, and 5 mM HEPES at pH 8.5), and the extruded vesicles were separated from the unencapsulated material using a Sephadex G-75 column with an elution buffer composed of 5 mM HEPES and 145 mM NaCl, pH 8.5. Liposomes for lipid-mixing assays were prepared in 5 mM HEPES and 145 mM NaCl, pH 8.5. Freeze-thawed liposomes for lipid-mixing assays were used after extrusion without further purification.
All freshly prepared liposomes had mean diameters ranging from 170 to 200 nm (cumulant results) and a polydispersity index of less than 0.2 as measured by a Malvern (Southborough, MA) Zeta1000 Dynamic Light Scattering Instrument using the PCS 1.32a software. The automatic algorithm was employed for data analysis. Lipid concentrations were determined based on lipid phosphorus by a modification of the Bartlett method (Bartlett, 1959
).
Determination of encapsulated volume of liposomes
A small aliquot (20150 nmol total lipids) of a liposome preparation for leakage assay was lysed in 3 mL of an alkaline buffer (5 mM HEPES and 145 mM NaCl, pH 8.5) supplemented with 200 µL C12E8 solution in water (1%, w/v). The fluorescence at 550 nm was then measured (excitation wavelength = 467 nm) with a Spex Fluorolog photon counting instrument (Model FL1/2, 150-W xenon light source, Jobin Yvon, Edison, NJ) to determine the ANTS concentration of the stock liposome preparation. The ANTS/DPX buffer (50 mM ANTS, 50 mM DPX, and 5 mM HEPES at pH 8.5) was used as the standard. With the anticipation that most of the ANTS in a liposome preparation is encapsulated within the vesicles and that the concentration of ANTS inside the vesicles (50 mM) does not change significantly during the encapsulation, the encapsulated volume of a liposome preparation can be determined using the equation
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Liposome leakage assay
The ANTS/DPX fluorescent assay (Ellens et al., 1984
) was used to measure the contents release of the liposomes. One data point of fluorescent intensity was collected each second except for pH 7 and 7.4, where measurements were taken every 30 min and the samples were incubated in the dark between the measurements to minimize the exposure of the sample to the excitation light source. The leakage assays for Fig. 2 were carried out in 5 µM lipid concentration; the leakage assays for Fig. 4 were carried out at 25 µM lipid concentration; the leakage assays for Fig. 5 were carried out in a series of lipid concentrations (Ellens et al., 1984
) as specified in the respective traces. There was no significant difference in the encapsulation volume among vesicles prepared with POD, PEG-DSG, or a mixture of the two.
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Lipid-mixing assay
Membrane mixing between liposomes was monitored by a modified lipid-mixing assay based on the method of Struck et al. (1981)
, employing fluorescence resonance energy transfer. Labeled vesicles were prepared to contain NBD-PE and Rh-PE (1 mol% each) in 5 mM HEPES and 145 mM NaCl, pH 8.5. Labeled and unlabeled vesicles were premixed in a 1:5 molar ratio, and a small aliquot (
20 µL) was injected with a Hamilton syringe into a magnetically stirred quartz cuvette containing 2 mL of an appropriate aqueous buffer (50 mM NaOAc/HOAc and 100 mM NaCl, pH < 6; 50 mM NaH2PO4/Na2HPO4 and 100 mM NaCl, pH 6 and above) at 37°C. The final concentration of the total lipids in the cuvette was 150 µM in all the lipid-mixing assays. The starting time of liposome incubation (to) at a given pH was set 15 s after the addition of the vesicles when the fluorescence signal first became stable. An increase of NBD-PE fluorescence indicates a decrease in the quenching of NBD-PE fluorescence by Rh-PE due to the dilution of the two membrane-bound probes during the lipid-mixing between labeled and unlabeled vesicles. Fluorescence measurements were made with a Spex Fluorolog photon counting instrument (Model FL1/2, Jobin Yvon). Excitation was at 467 nm (4.5-nm bandpass). The 90° emission signal at 550 nm (18-nm bandpass) was observed through a Corning 3-68 nm cutoff filter (>530 nm). One data point of fluorescent intensity was collected per s except for pH 7.0 or 7.4, where measurements were taken every 30 min and the samples were incubated in the dark between the measurements to minimize the exposure of the sample to the excitation light source. To compensate for the interference from liposome aggregation and precipitation, we prepared the control liposomes of the same composition as that of their corresponding sample liposomes except for 0.167 mol% of NBD-PE and Rh-PE. Such mole percentages of the probes are expected when the lipid mixing of the sample liposomes reaches its theoretical maximum. The fluorescence of each control over time at different pHs was measured in the same manner as the corresponding sample and used to normalize the fluorescence of the sample to percentage of infinite probe dilution.
The raw fluorescent data were converted into ASCII data files and mathematically processed by Microsoft Excel. To determine the lipid mixing as a percentage of infinite probe dilution, F% is defined as the percentage of the sample fluorescence over the fluorescence of its control. F% is calculated using the following formula,
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Determination of the duration of lag phase
In the previous studies on POD/DOPE vesicles (Guo and Szoka, 2001
), the duration of the lag phase (tl) for each leakage assay was determined by a visual estimation of the intersection point of two lines: a line tangent to the trace of the lag phase and a line tangent to the steepest slope of the burst phase. In this dataset, we used a mathematically stricter derivation method to reduce bias. Inasmuch as slow leakage during the lag phase and fast leakage during the burst phase are reflected, respectively, by a shallow slope and a steep slope of the fluorescent trace, the transition point between the two phases can be considered as the point when the change of the leakage rate, or the change of the slope of the fluorescent trace, reaches the maximum. Mathematically, this maximum point is equivalent to the maximum point of the secondary derivative of the fluorescent trace.
To obtain the first and second derivatives from raw fluorescence data, a window of width (tw) was centered on each time point (t). Assuming the data within the window is linear, the derivative was determined for this point by linear regression. At time points later than 0.5 x tw, the derivative was obtained for each time point to obtain the first derivative curve. To account for different leakage kinetics, the linear window time (tw) was defined as 20% of the time required for 50% leakage. This method scales tw between experiments, and computes a smooth derivative trace with sharp peaks for all data sets. The analogous method was used to obtain second derivative curves from the first derivative curves, using the same tw for obtaining the corresponding first derivative curves. The time point where the second derivative reached a maximum was taken as the transition point between the lag phase and the burst phase; the elapsed time between the transition point and to is taken as the lag time (tl).
Statistical analyses using the minimum-surface-shielding model
Estimates for the parameters of the minimum-surface-shielding model, i.e., POD hydrolysis rate constant (k) and critical percentage of POD (Ac), were obtained by nonlinear regression using Origin Windows version 6.1 (Northampton, MA). As shown in Fig. 4, the lag time versus ln(Ao) (following Eq. 8) gives a linear plot where the slope contains the kinetic rate constant, k, and the intercept contains an approximation of Ac. Buffered at pH 5.0, tl data from initial POD percentages of 7, 8, 9, 10, 12, and 14% were fit to lag following equation:
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| RESULTS |
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Another aspect for the improvement of the POD-stabilized fusogenic vesicles would be the lipid composition. Although DOPE has been chosen in numerous pH-sensitive liposomes to trigger lamellar-to-hexagonal phase change, both of its side chains are unsaturated with a kink from the cis-double bond, and hence may have difficulty in mixing with the saturated stearoyl side chains of POD in bilayer structures (Gennis, 1989
). Indeed, when we attempted to prepare the POD/DOPE liposomes by freeze-thawing, the hydration of the lipid film required lengthy agitation and was often incomplete. The encapsulated volumes of POD/DOPE vesicles (0.20.35 µL/µmol) are also lower than those of the reported reverse-phase evaporation vesicles (REV (Ellens et al., 1984
; Szoka and Papahadjopoulos, 1978
). To circumvent such difficulties, another PE lipid, POPE, was introduced into the formulation. Inasmuch as POPE has one saturated palmitoyl side chain and one unsaturated oleoyl side chain, it is miscible with both the saturated PEG-lipid conjugates and DOPE, and hence would facilitate the formation of POD/PE vesicles with uniform distribution of the lipid components in the bilayer structures. The lipid films composed of POD/POPE/DOPE or PEG-DSG/POPE/DOPE in the molar ratios of (4
14)/50/(43
36) for our studies were easily hydrated and the vesicles readily prepared after freeze-thawing and extrusion. As shown in Table 1, the freeze-thawed POD/POPE/DOPE vesicles are 160200 nm in diameter, as expected after extrusion through 200-nm membranes. The freeze-thawed POD/POPE/DOPE liposomes possess large encapsulated volumes in the range of 2.5
3.5 µl/µmol lipid, although there are probably some fraction of oligolamellar vesicles in the preparations.
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Effect of pH on contents leakage
We have shown that contents release from POD/DOPE liposomes consist of two phasesa lag phase and a burst phase (Guo and Szoka, 2001
). The lag phase is inversely correlated with the proton concentration; the logarithm of the duration of the lag phase shows a linear relationship with the buffer pH. During the burst phase the vesicles coalesce into large aggregates. We proposed a minimum-surface-shielding model to account for the linearity of the pH-collapse relationship and the value of the slope (Fig. 1).
To obtain a more precise estimate of the critical mole percent of POD required to stabilize the vesicles and to eliminate the possibility that hydrolysis products from the POD (the PEG, linker, or distearoyl glyceride; Fig. 1) were responsible for the leakage or collapse, we examined the pH release profile in vesicles composed of POPE/DOPE containing either the pH-sensitive POD or a pH-insensitive PEG-DSG derivative. The PEG-DSG had a similar MW PEG (2000) as POD, the same hydrophobic anchor distearoyl glyceride, and, like POD, had no charge. Vesicles composed of 10% PEG-DSG/POPE/DOPE did not leak contents (Fig. 2 A, trace d) nor collapse at any pH tested, in any buffer used for these experiments (acetate, phosphate, citrate, or glucuronate; data not shown). PE vesicles stabilized either by 4% PEG-DSG, or 4% PEG-DSG and 10% POD, also did not leak contents (Fig. 2 A, trace c) nor collapse at any pH tested. Furthermore, vesicles stabilized with 3% PEG-DSG and containing 7% distearoyl glyceride also did not leak contents or collapse when the pH was lowered (data not shown). This later control was included because one of the breakdown products from POD is distearoyl glyceride. This confirms that the PE vesicles are stabilized by the PEG coat at all pH values and that hydrolysis products from POD do not cause content release.
Vesicles composed of 10% POD/POPE/DOPE underwent a pH-dependent leakage which was slightly faster in acetate buffer (Fig. 2 A, trace a) than in citrate buffer, a relatively membrane-impermeant buffer (Fig. 2 A, trace b). The POD vesicles underwent collapse into large aggregates in the same time frame as they leaked their contents (Guo and Szoka, 2001
; data not shown). The pH-dependent contents-release profiles of POD/POPE/DOPE liposomes are shown in Fig. 2 B and conform to the model. The pH release profile was generated in a variety of buffers (acetate, citrate, glucuronate, and phosphate). The data shown in Fig. 2 B at pH 4.5 was generated in both acetate buffer and phosphate buffer. The phosphate buffer was used to trigger POD hydrolysis and contents release at the other pH values. We examined the effect of a variety of buffers on the contents leakage (Fig. 2 C). The lag time for contents release measured in acetate buffer was consistently shorter, albeit only slightly, than the lag time measured in the less membrane-permeant buffers (Fig. 2, A-C and Fig. 5 A). This suggests that either acetate buffer is more effective at reducing the pH in the immediate vicinity of the ortho ester linkage causing collapse from intervesicular bilayer contact on a faster time scale, or that acetate as acetic acid crosses the bilayer, and leads to hydrolysis of POD on the inside monolayer. Removal of PEG by hydrolysis of POD on the inside of the vesicles might lead to more rapid contents release. Alternatively hydrolysis of POD on the inside of oligolamellar vesicles could result in more rapid contents leakage due to membrane contact between the exterior bilayer and interior bilayers, i.e., collapse from within. At present, we are unable to differentiate among these possibilities.
The contents release profile as a function of pH, in an acetate buffer of POD/POPE/DOPE liposomes composed of 10% and 14% POD, respectively, was linear with respect to the buffer pH, with a correlation coefficient value higher than 0.99 (data not shown). The slope of the regressed lines for both formulations was 0.95 or greater and close to the theoretical value of 1. The slope of the regressed line for the combined data generated in all buffers, with all preparations examined, was 0.82 with a correlation coefficient of 0.94 (Fig. 2 C).
Effect of pH on bilayer mixing
The aggregation of the POD/DOPE liposomes occurs in a pH-dependent manner. This suggests that the leakage of POD/PE liposomes involves bilayer contact. A fluorescence resonance energy transfer assay (Struck et al., 1981
; Hafez and Cullis, 2000
) was thus carried out using the membrane probes NBD-PE and Rh-PE to examine if lipid mixing between POD/PE vesicles takes place during the process of pH-triggered liposome leakage.
Similar to the leakage profile, the membrane mixing between POD/POPE/DOPE (10/50/40) liposomes (Fig. 3 A) exhibited kinetics comprised of two phases: a lag phase, when there was virtually no lipid mixing, and a burst phase, when up to 80% of lipid mixing was observed. The lag phase is inversely correlated with pH and the logarithm of the duration of lag phase (tl) has a linear relationship with the incubation pH (Fig. 3 B). The slope of the regressed line is 1.031 ± 0.058, which is the same within experimental error as the value predicted by the minimum-surface-shielding model. These findings demonstrate that lipid mixing is involved in the pH-dependent destabilization of POD/PE vesicles.
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Hydrolysis rate and minimum stabilization percentage of POD
The hydrolysis of POD on liposome surfaces at a constant pH can be described by the following equation,
![]() | (6) |
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Equation 8 shows that the length of lag time should have a linear relationship with the natural logarithm of the initial percentage of POD on liposome surface. Furthermore, the equation predicts that, by measuring the tl of POD/POPE/DOPE liposomes comprised of different Ao at known pH values followed by an appropriate regression of the data, one can deduce the rate constant of POD hydrolysis (k) as well as the minimum percentage of POD (Ac) that is required to stabilize the lamellar structures. POD/POPE/DOPE liposomes containing different mole percentages of POD (Table 1) were thus prepared by freeze-thawing and their leakage measured at multiple pH (Table 2).
Equation 8 also predicts that the change of tl in response to Ao is relatively small. Therefore, a precise determination of tl values is needed to obtain reasonable estimations of k and Ac. Two approaches were taken to improve the data quality for tl values. First, all the leakage data in this report were processed by an automated derivation method to remove bias during the extraction of tl values from the fluorescent traces. Second, inasmuch as tl is independent of lipid concentrations in both acetate and phosphate buffers (Fig. 5 C), more concentrated liposome samples were utilized for leakage assays (25 µM here versus 5 µM in Fig. 2) to obtain smoother traces with sharper increase of the fluorescent signal at the burst phase. The lag times of POD/POPE/DOPE liposomes with different Ao are listed in Table 2 and the data for pH 5.0 is plotted against the natural logarithm of Ao in Fig. 4.
As shown in Fig. 4, the duration of the lag time shows a linear relationship with the natural logarithm of the starting POD mole percentage at pH 5.0 (r = 0.972, P = 0.001), demonstrating that the minimum-surface-shielding model adequately describes pH-triggered contents release of POD/PE liposomes. To estimate the kinetic parameters (k and Ac), nonlinear regression was performed to fit the tl data in Fig. 4 to Eq. 4, which is obtained by minor rearrangement of Eq. 8. The parameters derived were k = 1390 ± 232 s-1 M-1 and Ac = 2.3 ± 0.6%.
Contact-dependent leakage at burst phase
Bentz and co-workers (Bentz et al., 1983
) have shown by a mass action kinetic model that if the plots of leakage versus Xot (where Xo is the initial concentration of the liposomes, or in equivalent, the initial lipid concentration for a homogeneous liposome sample, and t is the incubation time) lie on the same curve regardless of the lipid concentration, then the liposomes are stable until they contact with one another. Ellens and co-workers (Ellens et al., 1984
) have successfully utilized this theory to demonstrate that the acid-triggered leakage of CHEMS/DOPE liposomes requires interbilayer contact. Inasmuch as the contents release and lipid mixing of the POD/POPE/DOPE (10/50/40) vesicles exhibited very similar two-phase kinetic profiles, it was hypothesized that the destabilization of such liposomes at the burst phase is also dependent on bilayer contact. The leakage assays of POD/POPE/DOPE (10/50/40) liposomes at different concentrations were thus carried out at pH 5.0 in either acetate or phosphate buffers in an effort to test the hypothesis.
The contents release from a given liposome sample (POD/POPE/DOPE = 10/50/40) at different concentrations possesses approximately the same duration of lag phase (tl) of
95 s when acetate was the buffer (Fig. 5, A and C). This conforms with the minimum-surface-shielding model, which predicts that the lag time before the collapse of POD/PE bilayers should be a function of pH and the initial number of PEG groups on the liposome surface, but not a function of the liposome concentration (Guo and Szoka, 2001
). A small increase of the tl for 1-µM and 2-µM lipid concentrations may be attributed in part to the low signal-to-noise ratio of these measurements. Thus, for all of the fluorescence traces in Fig. 5 A, we assign a common transition point (tl = 95 s) between the lag phase and the burst phase and define the incubation time at this point as to'. The fluorescent intensity at a given time point (t) after to' is normalized to percentage of leakage in the burst phase (L%') using the equation
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| DISCUSSION |
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In the case where the PEG is removed by a hydrolytic reaction, the stability of POD/PE liposomes is a function of the initial mole fraction of the POD in the liposome bilayer and the hydrolysis rate of the POD. For all liposome preparations used in this report to test the model, we assume that the fraction of POD on the outer monolayer is the same as the fraction of POD in the initial lipid mixture; that the POD mixes ideally with the other lipids; and that the collapse of the bilayer occurs with similar properties regardless of the lipid composition of the bilayer. When the duration of the lag phase at various pHs (Fig. 2) and the duration of the lag phase at a constant pH from liposomes containing various POD mole percentages (Fig. 4) were measured, the hydrolysis rate of POD and the critical POD mole percentage needed to stabilize PE in the lamellar phase can be computed.
We tested the assumption that bilayer collapse is responsible for contents release by measuring lipid mixing with a fluorescent resonance energy transfer lipid-mixing assay (Struck et al., 1981
; and see Fig. 3). The slope of the logarithm of the lag time for membrane mixing as a function of pH was 1 and the correlation coefficient was greater than 0.99. The lag time for lipid mixing was highly correlated with the lag time for rapid release; thus hydrolysis of the ortho ester results in bilayer collapse, not increased permeability through the bilayer.
In Fig. 5 B, the leakage of POD/PE liposomes during the burst phase was extracted from that during the lag phase by "resetting" the zero percent leakage as well as the zero incubation time at the transition point. Redrawn against the product of lipid concentration and the modified incubation time, the leakage at different vesicle concentrations up to 5 µM overlapped with each other, demonstrating that most, if not all, of the liposome leakage at the studied pH values is membrane contact-dependent during the burst phase (Ellens et al., 1984
).
Indeed, the kinetic data fits the model quite satisfactorily. The linear correlation coefficient is 0.98 for contents leakage of the POD/DOPE vesicles versus pH (Guo and Szoka, 2001
), 0.95 for contents leakage of the POD/POPE/DOPE vesicles versus pH (Fig. 2), 0.99 for fusion of the POD/POPE/DOPE vesicles versus pH (Fig. 3), and 0.95 for contents leakage of the POD/POPE/DOPE vesicles versus the natural logarithm of the initial mol% of POD (Fig. 4).
We developed the indirect contents leakage method to determine the parameters of k and Ac for two reasons: 1), it is difficult to prepare liposomes with the critical density of PEG on their surface; and 2), direct determination of the hydrolysis rate of POD requires the separation of surfactants and could introduce complications from the degradation of POD during its isolation and quantification. Although we had directly estimated the pH-dependent hydrolysis rate of POD using thin layer chromatography in our previous studies (Guo and Szoka, 2001
), the precision of this assay was insufficient to obtain more than an order-of-magnitude estimate of the rate constant. Using the indirect method that models the relationship between tl and the initial mol% of POD (data in Fig. 4), the estimated hydrolysis rate of POD in POD/POPE/DOPE (Ao/50/(50 - Ao)) vesicles is 1390 ± 232 s-1 M-1 and the estimated critical POD percentage is 2.3 ± 0.6 mol%.
The latter value is slightly greater than that found to prevent calcium-induced fusion of phosphatidylserine-PE bilayers (Holland et al., 1996b
), where at 2 mol% the vesicles were stable but as the PEG-content was reduced to
1 mol% there was a slight increase in calcium-induced fusion that was significantly accelerated as the PEG content was reduced further to
0.5 mol%. The difference between the mole percent for fusion onset observed by Holland and co-workers (1996b)
and the findings here may be due to the fact that the POD is an uncharged lipid whereas the PEG-PE carries a negative charge at neutral pH; hence, electrostatic effects inhibiting close apposition of bilayers may be more pronounced in the calcium-induced fusion model. To overcome this barrier a greater fraction of PEG-PE might have to be removed from the bilayer to enable vesicle fusion.
The kinetic parameters derived from fitting tl data to the model permit us to predict the lag time of a POD/POPE/DOPE liposome preparation if we know the pH. Moreover, at any pH, the lag time can be adjusted by altering the initial percentage of POD in the lipid composition. In Table 2, all the experimentally observed tl values of POD/POPE/DOPE vesicles under different conditions are compared with their corresponding predicted values based on the minimum-surface-shielding model using the above-estimated k and Ac values. Given the large ranges of pH and tl values, the model provides satisfactory predictions of the experimental data with an R2 of 0.96. This correlation coefficient is similar to that of the linear regressions in Fig. 4, from which data k and Ac are derived. The relatively poor predictions of tl values at pHs lower than 5 may be attributed to the following two factors. First, the POD hydrolysis at these low pHs is so rapid that it is no longer the rate-limiting step of liposomal leakage; the membrane mixing and collapse of the PE bilayers may, instead, be the major factors to control the contents release of the vesicles. Second, the low tl values at these pHs may induce additional errors to the derivation method, which uses the time for 50% leakage (t50) to determine the window of data smoothing. Twenty percent of t50 may be too big a time window at these low pH levels.
An interesting consequence arising from these experiments relates to the minimal surface area on two PE bilayers that must come in contact in order for the PE to undergo a lamellar-hexagonal transition (Ellens et al., 1984
; Holland et al., 1996a
,b
). Siegel and Epand (Siegel and Epand, 1997
; Siegel 1999
) have proposed that such transition occurs via a stalk that progresses to a transmonolayer contact site (TMC). In the bilayer, the stalk is proposed to be a nonequilibrium structure that proceeds onto a TMC which is the initial nexus of the transition from a lamellar to hexagonal phase (Siegel and Epand, 1997
; Siegel, 1999
). There is surprisingly little experimental data on the structure of the stalk or TMC intermediates. In fact, Siegel and Epand (1997)
state that "we cannot directly demonstrate the structure of the first processes with cryotransmission electron microscopy," and go on to conclude that the intermediates are less than 10 nm. Since the submission of this manuscript, structures resembling the putative stalk intermediate have been captured using x-ray diffraction in diphytanylphosphatidylcholine multilayers at low hydration (Yang and Huang, 2002
). The dimension of the unit cell perpendicular to the membrane is 3.95 nm. We can compute a lower bound of the area of the early intermediate from the data measured in this work by assuming a uniform surface coverage of the PE bilayer by POD. If the critical surface coverage is 2.3 mol%, approximately one in every 43 lipid molecules contains a PEG chain. Inasmuch as two liposomes must come in contact, the average surface density of PEG2000 is one polymer for every 22 lipids. Thus 22 lipids would constitute the minimum number of PE on one surface required to initiate a lamellar-to-hexagonal transition if the PEG chain did not obstruct the surface. However, the PEG attached to POD has a mol wt
2000 and, assuming it is in the mushroom regime and packs as a sphere on the vesicle surface, the projected area of this sphere is 438 Å2 (Kenworthy et al., 1995
; Evans et al., 1996
; Needham et al., 1999
). Inasmuch as each diacyl PE occupies a projected area of
70 Å2, 22 lipids would occupy 1540 Å2, and at the contacting area, two liposomes would have 438 ÷ 1540 x 100% = 28.4% of the available bilayer surface occluded by a PEG polymer chain. The minimal surface area on two PE bilayers that must come in contact for the PE to undergo a lamellar-hexagonal transition would then be
1540 Å2 - 438 Å2 = 1102 Å2, the area of
16 lipids.
The calculated values are consistent with the findings of other groups (Needham et al., 1999
; Siegel and Epand, 1997
) on the mechanisms of the membrane mixing between PE bilayers and the shielding effect of PEG polymers (Holland et al., 1996a
). The computed radius of 1.9 nm for the initial intermediate covering 1102 Å2 as estimated by the present data is also consistent with the dimensions for the stalk intermediate measured by x-ray diffraction (Yang and Huang, 2002
), albeit in a different lipid. The precise exposed surface area depends upon the exact conformation of the PEG chains associated with the surface. Rex and co-workers (Rex et al., 1998
) have concluded that the grafted 2000-mol wt PEG chains exist as a mushroom over this regime and the average cross-sectional areas of the PEG2000 chains are 257 Å2. They proposed the PEG moiety occurs in a relatively elongated conformation; if this is the case, a slightly different number of PE lipids could be involved in stalk formation.
Bilayers are separated between 5 and 10 nm at various PEG2000-PE mole percents (Kenworthy et al., 1995
), whereas separations between 4 and 6 nm have been measured when an uncharged PEG2000 lipid is incorporated into the bilayer (Efremova et al., 2000
). Therefore, the PEG polymer extends beyond the putative height of the TMC intermediate (35 nm; Siegel and Epand, 1997
). Thus, for membrane mixing between bilayers to go to completion, it would seem that the following conditions would have to be met: the polymer coat would have to be sufficiently sparse to allow the initial bilayer contact; the stalk would have to form; and the appropriate number of PE would have to be available to form the TMC. It is possible that by judiciously mixing the POD with a pH-insensitive PEG-DSG and then removing the POD lipid at low pH, it might be possible to trap the system in a metastable state where the early intermediates have formed but are unable to coalesce so the system is unable to progress into the hexagonal phase. Thus one might observe only outer monolayer mixing with little change in vesicle diameter and less than 100% contents release.
A number of pH-sensitive liposome systems have been introduced over the years and have been employed for studies involving lamellar-hexagonal transitions or to provide a triggered release system for drug delivery. The feature of rapid, membrane contact-dependent release of contents from POD/PE liposomes at the burst phase is similar to what has been observed with the CHEMS/DOPE vesicles (Ellens et al., 1984
), oleic acid/PE liposomes (Duzgunes et al., 1985
), and homocysteine/PE liposomes (Connor et al., 1984
). The pH-induced neutralization of the CHEMS/DOPE liposomes immediately increases the exposure of the PE headgroups, leading to membrane contact-dependent leakage kinetics. The leakage of CHEMS/DOPE liposomes has no lag phase, because the protonation of CHEMS headgroups is almost instantaneous compared with the rate of lipid fusion. The destabilization kinetics of POD/PE vesicles differs from that found with the BVEP/DOPE vesicles whose leakage occurs at a much faster rate compared with the lipid mixing upon acid-catalyzed hydrolysis of BVEP (Boomer and Thompson, 1999
). This difference between the POD/PE and BVEP/DOPE liposomes may be attributed to the different hydrolysis patterns of POD and BVEP. The hydrolysis at either of the two ortho ester groups of POD leads to the immediate cleavage of the PEG2000 headgroup from the liposome surface and the exposure of PE headgroups. In the case of BVEP, the hydrolysis of one of the two vinyl ether linkages generates an alkyl aldehyde and a conjugate of PEG5000 and a single alkyl side chain. Thus, the PEG5000 headgroup would be retained on the liposome surface until the hydrolysis of the second vinyl ether group takes place. Therefore, during the early stage of BVEP hydrolysis, the resultant single-chain detergents may be sufficient to induce structural defects in the bilayers, leading to contents release and even the collapse of the vesicles. However, the retained PEG5000 groups on their surfaces still protect the colloids from the membrane contact necessary for collapse via an hexagonal transition.
Recently, Zhu and co-workers (Zhu et al., 2000
) reported two acid-labile cationic lipids containing an ortho ester linker based on the structure of 3,5,8-trioxabicyclo[2.2.2]octane. Due to the particular configuration of the linker, the initial two fast hydrolysis steps of the ortho ester functionality do not fragment the cationic lipids, but rather add two hydroxy groups near the cationic headgroup region. It is only after the final slower step of the hydrolysis, which is the cleavage of an ester group, that each lipid molecule converts to two single-chain, membrane-destabilizing detergents. Such a hydrolysis pattern may complicate the kinetics of bilayer destabilization by these pH-sensitive lipids. Moreover, the cationic headgroup remains in one of the single-chain detergents, which would both partition into the bilayer as well as diffuse into the aqueous phase. Thus a clean separation of the component from the liposome will not occur.
Nonconstrained ortho ester PEG-containing surfactants have also been synthesized and have rates of hydrolysis that are slower than the POD lipid (Hellberg et al., 2000
). This linkage could also be attached between PEG and hydrophobic lipid anchors to provide a pH-sensitive lipid conjugate that would have a different pH hydrolysis profile than the POD. Thus a variety of pH-sensitive derivatives are now available for the control of the phase preference of vesicles composed of PE. These pH-triggerable PEG derivatives will prove useful both in biophysical studies and in drug delivery.
| CONCLUSION |
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1390 ± 232 s-1 M-1. These values can be used to predict the stability of PE liposomes as a function of the pH of the environment and the initial mol% of POD in the lipid composition. These values also suggest that 16 PE lipids are sufficient to initiate a lamellar-hexagonal transition between apposed PE surfaces. | ACKNOWLEDGEMENTS |
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J.A.M. is a recipient of a Howard Hughes Medical Institute predoctoral fellowship. This work was partially supported by National Institutes of Health grants DK 46052 and GM61851.
| FOOTNOTES |
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Submitted on January 25, 2002; accepted for publication November 5, 2002.
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