Abstract
Resealing of membrane pores is crucial for cell survival. Membrane surface charge and medium composition are studied as defining regulators of membrane stability. Pores are generated by electric field or detergents. Giant vesicles composed of zwitterionic and negatively charged lipids mixed at varying ratios are subjected to a strong electric pulse. Interestingly, charged vesicles appear prone to catastrophic collapse transforming them into tubular structures. The spectrum of destabilization responses includes the generation of long‐living submicroscopic pores and partial vesicle bursting. The origin of these phenomena is related to the membrane edge tension, which governs pore closure. This edge tension significantly decreases as a function of the fraction of charged lipids. Destabilization of charged vesicles upon pore formation is universal—it is also observed with other poration stimuli. Disruption propensity is enhanced for membranes made of lipids with higher degree of unsaturation. It can be reversed by screening membrane charge in the presence of calcium ions. The observed findings in light of theories of stability and curvature generation are interpreted and mechanisms acting in cells to prevent total membrane collapse upon poration are discussed. Enhanced membrane stability is crucial for the success of electroporation‐based technologies for cancer treatment and gene transfer.
Keywords: calcium, charged lipids, detergent, edge tension, electroporation, giant unilamellar vesicles, membrane solubilization
Leaky membranes cannot support life. Cells have developed protective mechanisms to respond to pore formation in their membranes. Here, charged lipids are shown to reduce pore edge tension and destabilize the membrane upon poration leading to catastrophic collapse. This membrane destabilization can be reverted by calcium ions, which points to ways for optimizing biotechnological developments employing electroporation for cancer treatment.
1. Introduction
The plasma membrane constitutes the boundaries of cells and acts as an active barrier that separates different compartments and regulates cellular communication and transport. Consisting of a quasi‐2D fluid structure of a few nanometers in thickness, biomembranes can be easily bent but impose a large resistance to stretching. Remarkably, these material properties arise from the physical–chemical characteristics of pure lipid bilayers,[ 1 ] and are essential for attributing both mechanical stability and flexibility to cells. When subjected to strong loads, lipid bilayers rupture through the opening of a pore, which tends to eventually reseal and restore membrane integrity as demonstrated on model membranes.[ 2 ] Cells are exposed to a range of mechanical stimuli, and even physiological activities may cause membrane disruption leading to pore formation,[ 3 ] whereby the healing capacity in nucleated cells depends on calcium‐mediated recruitment of intracellular vesicles.[ 4 ] Thus, what makes a cell survive upon membrane damage is its capacity to reseal the formed pores.
A large number of water‐soluble and membrane‐nonpermeating therapeutic substances have their target in the cell interior but the barrier function of the membrane prevents their entry. Therefore, biotechnological applications for intracellular delivery make use of approaches relying on pore formation in the plasma membrane.[ 5 ] One of them employs membrane electroporation allowing for efficient delivery of materials, based on the application of one or more electric pulses. Electroporation‐based technologies extend to a growing number of applications including cancer treatment by electrochemotherapy,[ 6 ] genetic transformation of microorganisms as in gene therapy and DNA vaccination,[ 7 ] treatment of cardiac tissue and tumor ablation,[ 8 ] and microorganism inactivation as in wastewater treatment and food pasteurization.[ 9 ] All of these technologies rely on the formation of pores in the cell membranes. It remains a mystery however, why these pores have a wide range of lifetimes that can span from milliseconds to minutes[ 10 ] (or may not even close at all). Pore stability depends on experimental factors such as the poration parameters, as well as on cellular characteristics such as cell type and anchorage to the cytoskeleton.[ 11 ] Alternatively, when induced by chemical agents such as detergents or pore‐forming toxins, the stability of pores depends on the way these molecules interact with the membrane. Because of the relation to cell physiology and biotechnology, understanding membrane pore formation and, more importantly, plasma membrane stability is of fundamental and crucial significance.
Model membranes have been widely used to characterize pore dynamics averting the influence of underlying active cell processes. Among all systems, giant unilamellar vesicles (GUVs) are perhaps the best suited model as they represent a freestanding bilayer virtually devoid of artifacts.[ 12 ] These vesicles are large enough to be directly visualized and manipulated under an optical microscope displaying the membrane response to external perturbations.[ 13 ] Pore formation in GUVs can be indirectly detected through membrane permeability assays[ 12 , 14 ] or directly visualized in the case of optically resolved pore sizes.[ 2 , 15 ] Pores in GUVs can be induced by a variety of chemical and mechanical stimuli, including antimicrobial peptides,[ 16 ] pore‐forming proteins,[ 17 ] detergents,[ 18 ] photochemical reactions,[ 2a ] membrane stretching,[ 19 ] and electroporation.[ 2 , 20 ] Many studies have focused on the mechanisms of pore creation, while often neglecting pore stability and closure pathway. However, it is the ability of the formed pores to close that dictates the fate of the cell in its struggle to survive. The lifetime of artificially triggered pores also defines the efficiency of the above‐mentioned biotechnology approaches requiring transport through the membrane.
Electric pulses as means of porating vesicles are convenient as their impact is easy to modulate and focuses on the vesicle poles or cell surface facing the electrodes. Electroporation of single‐component zwitterionic lipid GUVs is relatively well studied.[ 21 ] Because lipid membranes act as insulating shells, the application of electric field results in vesicle deformation, whereby the type of deformation depends on the ratio of the solution conductivity across the membrane.[ 22 ] Above a certain potential threshold, a single direct current (DC) pulse (e.g., 100 µs long) can trigger membrane rupture generating membrane pore(s). In phosphatidylcholine membranes, pulse‐triggered optically detected macropores (0.5–5 µm in diameter) have lifetimes on the order of 50 ms.[ 2 , 23 ] The dynamics of the pores in a lipid bilayer is well described by a balance between membrane tension (σ), which tends to open and stabilize the pores, and edge tension (γ), which acts to shrink and close the pores.[ 24 ] Whereas the former can vary in response to different external stimuli, the latter is an intrinsic material property.[ 15 , 20 , 25 ] When a porating DC pulse is applied to a GUV, pore formation can relieve the surface tension (unless it is externally sustained, e.g., by a micropipette[ 20 ]) and the formed pores close solely driven by the edge tension. Importantly, the edge tension is modulated by the membrane composition,[ 25a ] and therefore pore dynamics and membrane stability may be modulated accordingly.
The bulk of studies targeting membrane/pore dynamics in GUVs have been predominantly performed on single‐component vesicles made of zwitterionic lipids, which represent a rather simple cell membrane model. Considering that cancer cells differ from normal ones by exhibiting abnormal negative surface charge,[ 26 ] we investigated the impact of charge on the stability of model membranes. Indeed, when electric pulses are applied to charged multicomponent GUVs, the dynamics of electroporation can be dramatically altered as briefly reported by Riske et al.[ 27 ] As we show here, the response can span from long‐living submicroscopic pores, to partial vesicle bursting or complete collapse. We explore the vesicle stability as a function of membrane charge. Poration was triggered by electric fields or caused by a detergent. The fraction of destabilized vesicles and the membrane edge tension, which governs pore closure, are assessed as a function of membrane composition, lipid charge and degree of unsaturation, as well as screening in the presence of salts. We interpret the observed findings in light of existing theories and curvature stabilization and discuss mechanisms that may act to prevent full collapse of living cells upon poration.
2. Results
We studied the stability of GUVs prepared from mixtures of zwitterionic and anionic lipids as a function of membrane composition (molar fraction of charged lipid and lipid tail unsaturation) and presence of different ion additives in the medium. The lipid compositions consisted of mixtures of palmitoyl‐oleoyl phosphatidylcholine (POPC), palmitoyl‐oleoyl phosphatidylglycerol (POPG), dioleoyl phosphatidylcholine (DOPC), and dioleoyl phosphatidylglycerol (DOPG). GUVs were prepared in sucrose and dispersed in glucose, see the Experimental Section. The difference in the refractive indexes of these solutions enhances the image contrast of vesicles observed under phase contrast microscopy and allows optical detection of macropores visualized as a disruption of the bright halo around the vesicle (see, e.g., Figure 1 ).
2.1. Electroporation of Neutral versus Charged GUVs: Charged Membranes Are Less Stable
GUVs were exposed to single DC square‐wave pulses of 3 kV cm−1 magnitude and 150 µs duration. Such pulses are strong enough to induce electroporation in vesicles of radii above ≈7 µm under the conditions explored here, see Text S1 of the Supporting Information. The response of GUVs made of mixtures of POPC and POPG to electric pulses was followed with optical microscopy. If not mentioned otherwise, vesicles prepared from pure POPC and equimolar mixtures of POPC:POPG will be referred to as neutral and negative, respectively. Upon the application of a single DC pulse, neutral GUVs deform and the membrane ruptures forming one or more visible macropores of few micrometers in diameter. A typical sequence of vesicle deformation, poration and macropore closure of a neutral GUV upon pulse application is shown in Figure 1A. Initially, the vesicle deforms and visible macropores are formed (at 21–60 ms). Then, all formed pores close, the vesicle relaxes back to its initial spherical shape and the membrane integrity is restored. By contrast, when similar pulses are applied to negatively charged vesicles at identical conditions, they frequently burst through continuous pore expansion leading to complete vesicle collapse (Figure 1B; Movie S1, Supporting Information). The fraction of GUVs that undergo bursting depends on membrane composition, as we will discuss below.
Fluorescence microscopy reveals that pore expansion in the charged vesicles occurs at the expense of transforming the locally quasi‐flat membrane of the GUV into highly curved structures such as buds and tubes initiating from the pore rim (Figure 1C; Figure S1A and Movie S2, Supporting Information). Vesicle bursting is a very fast process and completes within a few hundred milliseconds. The internal content of the GUVs is rapidly released (Figure S1 and Movie S3, Supporting Information). In some cases, part of the GUV membrane is still able to close back to a smaller vesicle connected to many tubules present in the region where the macropore closed (Figure S2, Supporting Information); we will refer to this process as partial bursting. The excessive tubulation indicates that charged lipids may be involved in modulating membrane curvature and that this curvature is not entirely relaxed upon membrane poration. The tube diameters were below the optical resolution and they were very dynamic hindering super‐resolution microscopy measurements as those reported by Roy et al.[ 28 ] We evaluated the fluorescence intensity of the tubes formed after partial or complete bursting of charged vesicles, as an indirect measure of the tube diameter (Figure S3, Supporting Information). The tubes are progressively thinner for increasing charge density. Remarkably, tubes formed upon complete bursting of GUVs containing 50 mol% PG are thinner than tubes that are formed on GUVs that did not collapse (partial bursting), suggesting the role of membrane spontaneous curvature in defining the stability and fate of an electroporated membrane. The mechanism of curvature generation is presumably related to bilayer lipid asymmetry[ 29 ] in our system, also present in cell membranes emphasizing the relevance of the observations.
The experiments above suggest that the pore evolution depends on membrane charge. It is known that some molecules can preferentially accumulate along the pore edges stabilizing them.[ 30 ] We thus attempted to assess differences between the lipid composition along the pore rim and regions of intact membrane by using fluorescent probes with different characteristics (i.e., charge, geometry, see Figure S4A, Supporting Information). For all compositions tested and in the presence of the different additives, no dye accumulation or depletion could be detected (Figure S4B, Supporting Information). Considering the short pore lifetime (50–100 ms) and lipid diffusion coefficient of ≈5 µm2 s−1 in these membranes,[ 31 ] dye accumulation may not be detected simply because the pores close too fast. Even in instances of long‐living macropores (≈2 s), no dye accumulation/depletion was detected (Figure S4C and Movie S4, Supporting Information). To slow down pore closure to a couple of seconds to minutes, we electroporated GUVs embedded in an agarose gel[ 23 , 31 ] but no dye accumulation was observed (see Figure S5 and Movie S5, Supporting Information). We conclude that in the tested experimental conditions, the composition along the pore rim is similar to the composition in regions of intact membranes regardless of the overall membrane charge or probe type.
2.2. Submicroscopic Pores Persist after Electroporation Rendering the Vesicles Leaky
While bursting (partial or complete) is observed exclusively on negatively charged and not on neutral GUVs, only a fraction of the negative vesicles undergoes bursting. In the remaining population, formed pores reseal similarly to those in neutral GUVs. However, some of the negative GUVs that survive macroporation lose their optical contrast seconds after the end of the pulse, see Figure 1D. This indicates that (at least temporarily) the membrane remains leaky: the original sugar asymmetry vanishes and so does the optical contrast. Figure 2A shows the relative optical contrast in vesicles of different composition as a function of time after applying the electric pulse (see Figure S6 of the Supporting Information for details on measurements). For GUVs with long‐term permeability, the contrast loss completes within 1–2 minutes in an all‐or‐none fashion. Increasing the fraction of charged lipids does not seem to alter the rate of permeation but increases the fraction of vesicles with long‐term permeability.
To roughly assess the minimum size of the long‐lived pores (not resolved optically), we performed electroporation in the presence of dyes of increasing molecular weight:sulforhodamine B (SRB, 0.6 kDa), cascade blue‐labeled dextran 10 kDa (CB‐Dex, 10 kDa) and Texas red‐labeled dextran 70 kDa (TR‐Dex, 70 kDa) with respective hydrodynamic diameters of ≈1, 4, and 13 nm.[ 32 ] The first two dyes were added in the external medium, whereas TR‐Dex was encapsulated inside the GUVs to avoid adhesion to the glass chamber. The entrance of dyes into the GUVs while the macropore is open is negligible (≈1% signal increase for both neutral and negative GUVs, Figure S7, Supporting Information) because of the short pore lifetime. Figure 2B shows the permeation of SRB and CB‐Dex into a single negative GUV quantified by the ratio of internal (I in) to external fluorescence (I out) intensities over time. Both dyes permeate completely until full equilibration across the membrane, whereby the smaller dye (SRB) is faster, as expected. Purple data show the release (leak out) of TR‐Dex from a negative GUV, expressed as (1‐ I in /I out). Even slower permeation of TR‐Dex is observed, as expected for its larger size. More importantly, these results show that the persisting nanopores on negative GUVs are larger than 13 nm.
We then tested whether this highly permeable state persisted minutes after pulse application. Negative GUVs were electroporated in the presence of calcein; such small dyes (<1 nm) reach concentration equilibrium across the vesicle membrane already within ≈2 min (see Figure 2A,B). Approximately 5–10 min later, a second dye, Atto‐647 (<1 nm) was added to the chamber. Figure 2C shows the three observed outcomes. i) When the GUVs do not become permeable to calcein, they also exclude Atto‐647, and these correspond to the most stable, fully resealed vesicles. ii) GUVs partially permeable to calcein exclude Atto‐647, indicating that pores are short‐lived with a delayed closure (less than a couple of minutes). iii) Vesicles are permeable to both calcein and Atto‐647 and thus with long‐lived pores or leaky. From three different preparations (43 measured GUVs in total), 37% of the GUVs that survived bursting showed short‐ and long‐lived pores (permeation to calcein), whereas the fraction of vesicles with long‐lived pores was 21% (permeation to Atto‐647); in other words about half of the GUVs that survived but showed permeation after the pulse, remain permanently permeable. In summary, while the membrane of neutral vesicles reseals completely after poration (Figure 1A), negatively charged membranes fail to do so and remain perforated for a long time, analogously to pores formed on cells.
2.3. Vesicle Stability and Increased Permeability Depends on Fraction of Charged Lipids, Chain Unsaturation, and Medium Composition
Taken together, the above results demonstrate that charged membranes are less stable when exposed to electric fields and that electroporation results either in i) complete vesicle collapse (bursting) and restructuring to membrane nanotubes, ii) partial bursting leading to a smaller vesicle whereby the membrane around the pore rim transforms into tubes, iii) macropore closure but maintenance of a permeable state with long‐lived sub‐microscopic pores (>13 nm in size), or still, iv) complete membrane resealing.
To quantify how surface charge density affects membrane destabilization, for increasing fraction of POPG lipids in POPC membranes, we measured the fraction of vesicles that underwent bursting (X burst) as in Figure 1B,C and the fraction of vesicles in which macropores resealed but GUVs remained in a highly permeable state (X perm) as in Figure 1D. The former represents the fraction of vesicles that burst over the entire population subjected to electroporation: X burst = n burst/n GUVs, whereas the latter corresponds to the fraction of GUVs that survive bursting (including instances of partial bursting) but lose their contrast: X perm = n perm/(n GUVs − n burst). Both X burst and X perm increase in a nontrivial manner with increasing the surface charge, i.e., the molar fractions of POPG (see Figure S8A, Supporting Information). We also explored the role of acyl chain unsaturation on membrane destabilization by measuring X burst and X perm for GUVs of dioleoyl (DO) lipids with an unsaturated bond in each of the chains (DOPC:DOPG mixtures) as opposed to saturation in one chain in palmitoyl‐oleoyl (PO) lipids (POPC:POPG). As shown in Figure S8B of the Supporting Information, contrary to the less unsaturated POPC:POPG vesicles, nearly all DOPC:DOPG vesicles burst at 20 mol% PG or above, and all of the few that survived were permeable, suggesting that higher degree of lipid unsaturation leads to lower membrane stability.
Because GUV bursting and highly permeable states are intimately related to membrane integrity, we combine the two contributions into a fraction of compromised vesicles, X comp = (n burst + n perm)/n GUVs. Figure 3A shows X comp as a function of the molar fraction of charged lipid for PO and DO‐based mixtures. Even though the absolute values of the fractions varied for different preparations (visualized by the shaded area in Figure 3A), the overall trend is obvious. Membranes become more unstable upon electroporation as the fraction of charged lipids increases. At each molar fraction of the charged lipid, X comp is higher for DO‐based GUVs, confirming our conclusion for lower stability of these membranes. It is important to mention that for the observed behavior, there is no dependence on GUV size (as long as vesicles were visibly porated) or on the proximity to the electrodes, ruling out possible effects of field inhomogeneity. Moreover, as the experiments were performed with fresh solutions, there are no significant changes in media conductivity or aging. In addition, we do not expect membrane destabilization to result from pulse‐induced lipid oxidation, as the latter can be observed only after minutes following the pulse and for specific conditions not present in this study.[ 33 ] We therefore conclude that increasing charge renders the membranes unstable upon electroporation and this effect is enhanced with the degree of lipid unsaturation.
Next, we studied the effects of certain additives such as salts and the calcium chelator ethylenediaminetetraacetic acid (EDTA) (the respective solution conductivities are given in Table S1, Supporting Information) on destabilization of POPC:POPG 1:1 vesicles. Because it is difficult to produce highly charged GUVs in high ionic strength media, the compounds were added exclusively in the external medium. Only low salt concentrations were explored to avoid sample heating and electrolysis upon pulse application at high ionic strength. The addition of 1 × 10−3 m NaCl in the GUV exterior did not result in differences in the vesicle response (compared to the data in Figure 3A which was collected for 0.1 × 10−3 m NaCl). We then explored the effect of CaCl2, as calcium ions have higher affinity to charged membranes,[ 34 ] and hence different charge neutralization capacity. EDTA was used to remove possible calcium ion (Ca2+) contaminants present in the medium,[ 35 ] considering that lipid concentration in the samples may be comparable to that of impurities.[ 36 ] Figure 3B shows X comp for the conditions tested. In the presence of only 0.5 × 10−3 m CaCl2, X comp is strongly decreased to around 20% whereas, in the presence of 0.5 × 10−3 m EDTA, X comp increases to nearly 100% (vesicles in the presence of 0.2 × 10−3 m EDTA have similar behavior, data not shown). In summary, these results show that modest increase in the ionic strength does not alter the membrane behavior while calcium binding stabilizes the membranes. Addition of EDTA, which removes possible divalent ion contaminants from the medium, has the opposite effect.
2.4. Membrane Edge Tension
Pore dynamics and stability are governed by a balance between the edge tension (γ), a material property representing the energy penalty per unit length for arranging the lipids at the pore, and the membrane surface tension (σ), which reflects the stress a membrane is subjected to. Because vesicle bursting is a consequence of continued pore opening, and since the membrane tension is released once the membrane ruptures and the pulse ends, we hypothesized that the increased fraction of compromised vesicles results from decreasing edge tension in charged membranes. We measured γ from the dynamics of macropore closure upon electroporation,[ 25a ] see Text S2 and Figure S9 of the Supporting Information for details on the method. The experiments were performed with 0.1 or 0.5 × 10−3 m NaCl at which no measurable effects on X comp were observed (Figure 3B, control). Figure 4A shows typical pore closure dynamics in GUVs of POPC with increasing POPG fraction. Note the changes in the slope resulting from changes in γ. Figure 4B shows a compilation of data measured for GUVs of all tested compositions and Table S2 of the Supporting Information lists their mean values. GUVs of pure POPC or containing up to 30 mol% POPG have pore edge tension ≈40 pN (Figure 4B) comparable to literature data for similar membrane compositions.[ 15 , 18 , 25 , 37 ] GUVs with 50 mol% POPG show a significant reduction in γ to ≈20 pN. Because the edge tension is determined from pore closure, the measurements are not possible in cases of GUV bursting. The fraction of bursting vesicles is higher for higher fraction of POPG (Figure 3A), and thus, the mean value of γ is likely to be overestimated at higher POPG fractions. In fact, the lowest γ values shown for 50 mol% POPG arise from cases of partial bursting where very long pore lifetimes are observed (indicated in magenta in Figure 4B). This difference is exemplified in Figure S9 of the Supporting Information. Partial bursting corresponds to the lowest possible γ measured and cases of complete bursting are likely to be a result of even lower edge tension values.
Next, we tested the effect of CaCl2 (which significantly increased the vesicle stability, Figure 3B) on the edge tension of GUVs of POPC:POPG (1:1), Figure 4B (shaded area). The presence of 1 × 10−3 m CaCl2 causes a significant increase in the edge tension, to γ = 62 ± 11 pN. Presumably, Ca2+ binds and screens the membrane charges, increasing the pore edge tension and stabilizing charged membranes exposed to electroporation. No dependence of the edge tension on the maximal pore size for any composition and regardless of presence of CaCl2 was observed (Figure S10, Supporting Information).
In summary, the pore edge tension decreases with increasing the surface charge of the membrane, which is consistent with the increasing fraction of compromised vesicles, X comp. The presence of Ca2+ increases the pore edge tension and stabilized the vesicles.
2.5. Bursting of Negative GUVs Does Not Depend of the Poration Method
The experiments above demonstrate decreased stability of negative membranes upon electroporation. Macroscopic pores in GUVs can be induced upon tension increase imposed also by hypotonic assault,[ 38 ] light irradiation,[ 2 , 15 ] adhesion,[ 39 ] or chemically, employing, e.g., detergents[ 18 ] or proteins such as talin.[ 40 ] We questioned whether bursting of charged vesicles depends on the way the macropore is triggered. To rule out the influence of the electric field, we induced pores using the detergent Triton X‐100. Consistent with an earlier study,[ 41 ] incubation of neutral GUVs with Triton X‐100 results in GUV area increase as detergents insert into the membrane, loss of contrast because of membrane permeabilization and eventually full solubilization (Figure 5A). In the time course of solubilization, macropores are formed and stabilized as a result of detergent‐induced decrease in pore edge tension as previously reported.[ 18 ] The whole process depends on detergent concentration but typically takes a few minutes and the macropores are stable for dozens of seconds.
The behavior of negatively charged vesicles is strikingly different. The GUVs are initially impermeable to small molecules such as sugars and SRB dispersed in the external medium (see first snapshots in Figure 5B,D). Upon detergent insertion, the vesicle area increases as usual. However, the stochastic appearance of the first visible macropore results in instantaneous vesicle bursting completing in a few hundreds of milliseconds (Figure 5B–D, see also Movies S6 and S7, Supporting Information) in a way seemingly identical to electroporation. Detergent‐induced bursting is also associated with the formation of membrane tubes (Figure 5D) that are completely solubilized later. Unexpectedly, charged GUVs become permeable to small dyes (<1 nm) before bursting (see Figure 5C; Movie S8, Supporting Information). This implies that submicron pores are formed before a visible macropore is observed, and only after it becomes large enough does the vesicle burst. In other words, there may be a threshold in pore size for bursting, below which the vesicle is still stable.
We next investigated the detergent‐induced poration in the presence of CaCl2 to test for possible charge screening effects on GUV bursting as observed during electroporation (Figure 3B). Initially, the GUV area increases as usual, which in this case is observed as an increase in intravesicular structures (rather than increase in vesicle size). This inward tubulation is likely due to calcium‐induced change in membrane spontaneous curvature.[ 42 ] The GUV then becomes permeable to small molecules followed by the stochastic opening of a single macropore, through which internal structures can leave the vesicle (Figure 5E; Movie S9 Supporting Information). The macropore remains open for tens of seconds until the whole vesicle is solubilized. This sequence of solubilization resembles that for neutral POPC GUVs, which is not surprising considering the observed stabilization of charged vesicles against bursting ascribed by calcium (Figure 3). We conclude that both bursting of charged vesicles and calcium‐induced stabilization due to charge screening are universal effects and do not depend on the way pores are triggered.
3. Discussion
The response of PC:PG GUVs to electric pulses was investigated to shed light on the mechanisms triggering the morphological transformations and membrane destabilization. Considering that contrary to healthy cells, cancer cells typically expose negatively charged lipids, we investigated the charge dependence of the membrane response to resolve whether surface charge is an important cue (e.g., in electrochemotherapeutic approaches). We find pronounced vesicle destabilization with increasing surface charge (Figures 3 and 5), whereas the edge tension drops down (Figure 4). Full collapse of macroporated vesicles represents the most extreme destabilization response of charged GUVs. Importantly, bursting is not limited to pores induced by an electric field but seems to be a rather universal response of charged membranes to macropore formation. The frequency of membrane destabilization increases for raising membrane charge density and unsaturation of the acyl chains, and can be reversed in the presence of calcium in the medium (Figures 3 and 5E).
The material properties of charged and neutral membranes differ. Compared to neutral ones, charged membranes are stiffer,[ 43 ] and display reduced lysis tension (and are thus easier to porate).[ 44 ] We show that, in addition to these properties, charged membranes display lower pore edge tension, and this correlates with membrane destabilization. Increasing the fraction of anionic lipids was shown to decrease the membrane lysis tension,[ 44a ], i.e., the membrane proneness to poration, while here, we add on to this understanding by examining the edge tension, i.e., the propensity of pore closure. Charged DOPG membranes at low ionic strength were shown to display very low or even negative edge tension when pore opening occurs spontaneously.[ 45 ] Under similar conditions, dimirystoyl phosphatidylglycerol bilayers become extensively perforated along their gel‐fluid transition region.[ 46 ] Note however, that comparing edge tension measurements acquired on different systems is not straightforward. For example, data collected on black lipid membranes might be prone to effects of organic impurities and tension (compare for example results on eggPC in ref. [ 47 ]), while in measurements using atomic force microscopy on supported lipid membranes, the support may influence the membrane behavior.
The reason for the observed decrease in the edge tension of charged membranes is likely related to the fact that charged lipid headgroups in general have a larger effective area due to electrostatic repulsion among neighboring lipids and hydration of the charged phosphate groups.[ 48 ] As a result, lipids with more conical shapes favor positive monolayer spontaneous curvature and thus help to stabilize the pore rim[ 45 ] in membranes containing higher PG fraction. Additionally, in cases of high surface charge density and low ionic strength, the repulsion along the pore rim was shown to render the membrane unstable upon the formation of holes.[ 49 ] With increasing fraction of the charged lipids, electrostatic repulsion coupled to molecular geometry (changing area per headgroup as a function of environment), plausibly govern the concentration dependence of the edge tension displayed in Figure 4B. Membrane asymmetry could also vary with increasing PG fractions and the incurring contribution remains to be evaluated. Regarding the stabilizing effect of calcium, theoretical predictions suggest that relatively high concentrations (≥5 × 10−3 m) of monovalent ions such as NaCl are required for stabilization via charge screening, whereas remarkably lower concentrations of multivalent cations such as Ca2+ (as low as 0.1 × 10−3 m) reverse the instability behavior, dramatically increasing γ, and as a result pore formation and expansion are no longer favorable.[ 50 ] The effects of multivalent cations are interpreted as a result of high biding efficiency, reducing electrostatic contributions and inducing attraction between charged lipids (membrane condensation).[ 50 ] Our observations of the decrease in bursting in the presence of calcium demonstrate the combined effects of charge neutralization, membrane condensation and a suppression of curvature effects: When Ca2+ binds to an anionic lipid, it counteracts the lipid positive molecular curvature due to charge neutralization and in addition causes lipid condensation due to surface dehydration.[ 42 , 51 ] As a result, pore edge tension increases and the membrane is stabilized, which is expressed in a reduced fraction of the compromised vesicles (Figures 2B and 3). This effect is consistent with enhanced stability of red blood cells against rupture attributed by divalent ions.[ 52 ]
Membrane charges, especially when asymmetrically distributed as in cell membranes, affect membrane curvature. We hypothesize that the membrane spontaneous curvature contributes to destabilizing the porated membrane causing the extreme response of vesicle bursting. Deflation of charged electroformed vesicles containing PG has been reported to lead to tube formation,[ 29 ] which is an evidence for nonzero spontaneous curvature.[ 53 ] The latter was ascribed to asymmetric distribution of PG in the bilayer (resulting from the preparation approach),[ 29 ] which in terms of asymmetry renders our vesicles closer to plasma membranes. The tube suboptical diameter (<200 nm) is consistent with that of tubes we observe after vesicle poration. The postporation tubes also show that the membrane spontaneous curvature has not relaxed during the bursting suggesting that possible interleaflet exchange across the pore rim[ 54 ] has not suppressed the membrane asymmetry. In the following, we examine how this nonzero spontaneous curvature in addition to the lowered edge tension may contribute to vesicle destabilization.
The catastrophic effect of vesicle bursting could be understood from simple energetic considerations. The total curvature elastic energy E of a vesicle with a pore of radius r can be expressed as a sum of bending and edge energy. If the total vesicle energy decreases as the pore expands (dE/dr < 0), it will be unfavorable to close the pore, the vesicle will be destabilized and tend to burst. From these considerations, we speculate that edge tension contributions are dominated by curvature terms, which presumably drive the transformation of membrane area into tubes stabilized by the spontaneous curvature. It can be shown that the above energetic condition implies for the spontaneous curvature (see Text S3, Supporting Information), where κ is the membrane bending rigidity. The edge tension of 50 mol% PG membranes is γ ≈ 23 pN (Figure 4B), while the membrane bending rigidity measured in similar ionic strength conditions is κ ≈ 31 k B T,[ 43c ] where k B T is the thermal energy. We thus obtain that the pores will tend to expand leading to bursting for magnitude of the spontaneous curvature of the order of 1/110 nm. This value is consistent with the observation of tubes with suboptical diameter (note that for cylindrical tubes m ≡ −1/2R cyl).
Although it is not clear why charged membranes containing lipids with two unsaturated tails are more prone to disruption, this may be related to the increase in membrane fluctuations due to their lower bending rigidity. High‐amplitude fluctuations were shown to increase the propensity to membrane rarefactions (prepores) that may eventually evolve into a large pore due to a lower activation energy of pore formation.[ 55 ]
Because the low membrane stability is rendered by charged lipids, one may wonder why bursting is not observed in vivo. When subject to poration (induced by electric pulses, tension, osmotic stress or membrane‐active molecules), cells should exhibit similar bursting behavior as the one reported here since their membrane contains asymmetrically distributed charged lipids. Indeed, stable holes and long‐term poration has been observed.[ 10c ] However, no full destabilization response such as whole‐cell bursting is observed. Several reasons account for this. i) The plasma membrane has rich compositional complexity and is enriched in lipids with only one saturated chain, which have a lower tendency of disruption; and lipids such as sphingomyelin and cholesterol are known to increase membrane edge tension.[ 18 , 25 ] ii) Cells are subjected to internal mechanical constraint imposed by the cytoskeleton, which stabilizes the cell membrane[ 11 , 52 ] as shown also on model systems.[ 56 ] iii) The high ionic strength media screens possible charge‐induced destabilization and the presence of extracellular calcium ions at millimolar concentration can stabilize the membrane. iv) Cells possess a number of repair mechanisms acting on different time scales and requiring substance and/or energy supply.[ 4 ] Thus, despite the presence of charged lipids, cell plasma membranes do not disintegrate even if prone to disruption presumably taking immediate advantage of their environment and composition as energetically cheaper response compared to costlier repair pathways. Instead of bursting, pores are stabilized and can either lead to cell death by lysis or resealing depending on the media. The latter is the key to the efficiency of electroporation‐based protocols for drug or gene transfer in cells. For example, the stabilizing role of calcium observed here is intimately related to the success of biotechnological developments in the latter years employing calcium electroporation for cancer treatment which relies on locally increasing calcium concentration.[ 6c ] On the contrary, decreased stability of negatively charged cancer cells in electrochemotherapies might be a key to the treatment efficiency. Our results suggest that membrane charge might be an important but not yet well‐characterized regulating agent in these protocols.
4. Conclusions
We studied the origin of bursting of charged multicomponent GUVs upon pore formation. The decreased membrane stability, which can lead to full collapse of the vesicle, is a consequence of the reduction in membrane edge tension and plausibly membrane asymmetry. During collapse, the quasi‐flat membrane of the vesicle is converted into curved structures through the consumption of lipids around the pore rim, demonstrating the associated role of membrane spontaneous curvature on membrane stability. Importantly, complete vesicle disruption is only the most extreme response to destabilization among other intermediate behaviors. The results described here provide direct evidence for theoretical predictions.[ 45 , 50 ] The decreased stability scales with the fraction of charged lipids, is enhanced in membranes containing lipids with unsaturation in both lipid tails and the effects are partially or completely reversed by ions in the medium. Membrane asymmetry apparently plays a destabilizing role and would be interesting to explore in the future using emerging approaches for preparation of asymmetric GUVs. It would be also attractive to employ the experimental platform and approaches for pore generation and observation developed here to unravel the wound‐healing mechanisms of repair proteins such as annexin and the stabilizing role of calcium.[ 57 ] The fact that bursting as described here has never been observed in vivo demonstrates that biological membranes are largely stable against disruption and highlights how nature has created means to stabilize charged membranes, which would otherwise be unable to sustain a stable cell, and hence life.
5. Experimental Section
Materials
All materials and chemicals were used as obtained without further purification. POPC, DOPC, POPG, DOPG, 1,2‐dipalmitoyl‐sn‐glycero‐3‐phosphoethanolamine‐N‐(7‐nitro‐2‐1,3‐benzoxadiazol‐4‐yl) (DPPE‐NBD), DPPE‐Rh (1,2‐dipalmitoyl‐sn‐glycero‐3‐phosphoethanolamine‐N‐(lissamine rhodamine B sulfonyl) (ammonium salt)), tail labeled NBD‐PE (1‐oleoyl‐2‐ {6‐ [(7‐nitro‐2‐1,3‐benzoxadiazol‐4‐yl) amino] hexanoyl}‐sn‐glycero‐3‐phosphoethanol‐amine), NBD‐PG (1‐oleoyl‐2‐{6‐[(7‐nitro‐2‐1,3‐benzoxadiazol‐4‐yl)amino]hexanoyl}‐sn‐glycero‐3‐[phospho‐rac‐(1‐glycerol)] (ammonium salt)), and the ganglioside GM1 were purchased from Avanti Polar Lipids (Alabaster, AL). Glucose, sucrose, NaCl, CaCl2, EDTA, Triton X‐100 and the fluorescent dyes sulforhodamine B (SRB), calcein, CB‐Dex, and TR‐Dex were purchased from Sigma‐Aldrich (St. Louis, MO, USA). Atto‐647 was purchased from Atto‐Tec (Siegen, Germany). All lipid dyes were dissolved in chloroform and the solution was stored at stock solutions at −20 °C until use. The dyes 5‐Hexadecanoylaminofluorescein (5‐HAD), DiIC18 (1,1′‐Dioctadecyl‐3,3,3′,3′‐Tetramethylindotri‐carbocyanine Iodide) and the Alexa 488‐labeled fragment B of cholera toxin were purchased from Thermo Fisher scientific (Waltham, MA, USA). The membrane dye 5‐HAD was dissolved in a mixture of chloroform:methonol (2:1 vol) and also stored at −20 °C. The content dye Atto‐647 dye was dissolved in a DMSO 80% volume in water and stored at 4 °C.
GUV Preparation
Lipids were obtained as a powder, stock solutions were prepared in chloroform and stored under −20 °C before use. Working solutions of 3 × 10−3 m with the desired lipid mixture, containing or not a membrane dye, were prepared and used for GUVs formation. GUVs were prepared by the electroformation method[ 58 ] as described in details in refs. [ 23 ] and [ 59 ]. Briefly, ≈8 µL lipid solution was spread on a pair of conductive indium tin oxide coated glass plates and dried under a stream of nitrogen. The plates were sandwiched using a 1 mm Teflon spacer forming a chamber with ≈1.5 mL volume and connected to a function generator. An AC field of 1.7 Vpp (nominal voltage) and 10 Hz was applied and the chamber was filled with a 0.2 m sucrose solution at room temperature and left for 1–2 h. For dye encapsulation inside the GUVs, the hydrating solution contained the specified dye at a concentration of 2 ⋅ 10−6 –5 ⋅ 10−6 m. When the sample contained fluorescent molecules (lipids or water‐soluble dyes), growth was carried out in the dark.
GUV Observation and Pulse Application
Different modes of observation were employed. GUVs were observed using a Zeiss Axiovert 200 (Jena, Germany) phase contrast microscope equipped with a Zeiss AxioCam HSm camera or alternatively an Axio Observer D1 (Jena, Germany) microscope equipped with an sCMOS camera (pco.edge, PCO AG, Kelheim, Germany) for fast fluorescence recordings (up to 300 frames per second, fps) was used. For high temporal resolution acquisition (up to 10 000 fps in the experiments), a fast digital camera HG‐100 K (Redlake, San Diego, CA) was used and the samples were illuminated with a mercury lamp HBO W/2. GUVs were also observed with confocal scanning fluorescence microscopy using a Leica TCS SP5 or a Leica SP8 (Wetzlar, Germany) through a 40x (0.75 NA) air or a 63x (1.2 NA) water‐immersion objectives. CB‐Dex was excited at 405 nm and its emission was detected at 410–480 nm. The green dyes DPPE‐NBD and calcein were excited with an Argon laser line at 488 nm and emission was collected at 495–550 nm, whereas the red dyes DPPE‐Rh, SRB, and TR‐Dex were excited with a diode‐pumped solid‐state laser at 561 nm and the signal was collected at 565–620 nm. The far‐red dye Atto‐647 was excited with a 633 laser line and its emission collected at 640–720 nm. Images were acquired in the sequential mode to avoid cross talk and snapshots were typically recorded at 512 × 512 pixels images and 400 Hz scanning speed in the bidirectional mode with two line averages, whereas the fast vesicle electrodeformation and poration processes were typically recorded with faster settings. Images were quantified using the Leica LAS X software (Jena, Germany) and ImageJ (NIH, USA).
For the electroporation experiments, the vesicles were diluted ≈10‐fold in an isotonic glucose solution containing the desired amount of the appropriate additive and/or dye and placed in an electrofusion chamber (Eppendorf, Germany) containing two parallel cylindrical electrodes (92 mm radius) spaced by 500 µm;[ 2b ] chambers for vesicle electroformation using wire electrodes (see images provided in Chapters 1 and 15 of ref. [ 12 ]) are also suitable. The chamber was connected to an Eppendorf multiporator (Eppendorf, Germany), in which field strength and duration can be controlled from 50 to 300 V and 50 to 300 µs, respectively. If not otherwise indicated, vesicles were subjected to a single DC pulse (3 kV cm−1, 150 µs) and the response was observed for 2–3 min. This procedure was repeated 3–5 times for each composition, every time on a fresh sample. To improve statistics, the quantification of vesicle responses to DC pulses was performed at lower magnification using a 10× objective (NA 0.25). The number of GUVs that burst or lose contrast relative to all vesicles in the field of view was counted. Alternatively, their change in contrast over time was measured (see, e.g., Figure S6, Supporting Information). To record a typical event, higher magnifications (40× or 63× air objectives, NA 0.6 and 0.75, respectively) were employed.
Statistical Analysis
No preprocessing of the data was conducted. The information about data presentation in terms of mean value and standard deviations, and sample size is given in the respective figure captions.
Conflict of Interest
The authors declare no conflict of interest.
Supporting information
Acknowledgements
R.B.L. and R.D. are thankful to R. Lipowsky, J. Steinkühler, and M. Miettinen for input on vesicle stability. The authors thank R. Knorr and D. Duda for many fruitful discussions. R.B.L. thanks T. Robinson for the help with the edge tension analysis. The financial support of FAPESP (08/10544‐0, 11/22171‐6, 13/07246‐5, and 16/13368‐4), CAPES and INCT‐FCx are acknowledged. R.B.L. and R.D. acknowledge the stimulating environment of the MaxSynBio consortium, which was jointly funded by the Federal Ministry of Education and Research in Germany and the Max Planck Society.
Open access funding enabled and organized by Projekt DEAL.
Lira R. B., Leomil F. S. C., Melo R. J., Riske K. A., Dimova R., To Close or to Collapse: The Role of Charges on Membrane Stability upon Pore Formation. Adv. Sci. 2021, 8, 2004068. 10.1002/advs.202004068
Contributor Information
Karin A. Riske, Email: kariske@unifesp.br.
Rumiana Dimova, Email: rumiana.dimova@mpikg.mpg.de.
References
- 1. Steinkühler J., Sezgin E., Urbančič I., Eggeling C., Dimova R., Commun. Biol. 2019, 2, 337. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.a) Sandre O., Moreaux L., Brochard‐Wyart F., Proc. Natl. Acad. Sci. USA 1999, 96, 10591; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Riske K. A., Dimova R., Biophys. J. 2005, 88, 1143; [DOI] [PMC free article] [PubMed] [Google Scholar]; c) Su W.‐C., Gettel D. L., Chabanon M., Rangamani P., Parikh A. N., J. Am. Chem. Soc. 2018, 140, 691. [DOI] [PubMed] [Google Scholar]
- 3. McNeil P. L., Steinhardt R. A., Annu. Rev. Cell Dev. Biol. 2003, 19, 697. [DOI] [PubMed] [Google Scholar]
- 4. McNeil P. L., Kirchhausen T., Nat. Rev. Mol. Cell Biol. 2005, 6, 499. [DOI] [PubMed] [Google Scholar]
- 5. Stewart M. P., Langer R., Jensen K. F., Chem. Rev. 2018, 118, 7409. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 6.a) Mali B., Jarm T., Snoj M., Sersa G., Miklavcic D., Eur. J. Surg. Oncol. (EJSO) 2013, 39, 4; [DOI] [PubMed] [Google Scholar]; b) Yarmush M. L., Golberg A., Serša G., Kotnik T., Miklavčič D., Annu. Rev. Biomed. Eng. 2014, 16, 295; [DOI] [PubMed] [Google Scholar]; c) Frandsen S. K., Vissing M., Gehl J., Cancers 2020, 12, 290. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 7. Lambricht L., Lopes A., Kos S., Sersa G., Préat V., Vandermeulen G., Expert Opin. Drug Delivery 2016, 13, 295. [DOI] [PubMed] [Google Scholar]
- 8. Maor E., Sugrue A., Witt C., Vaidya V. R., DeSimone C. V., Asirvatham S. J., Kapa S., Heart Rhythm 2019, 16, 1112. [DOI] [PubMed] [Google Scholar]
- 9. Frey W., Gusbeth C., Sakugawa T., Sack M., Mueller G., Sigler J., Vorobiev E., Lebovka N., Álvarez I., Raso J., Heller L. C., Malik M. A., Eing C., Teissie J., in Bioelectrics (Eds: Akiyama H., Heller R.), Springer, Tokyo: 2017, p. 389. [Google Scholar]
- 10.a) Adamo A., Arione A., Sharei A., Jensen K. F., Anal. Chem. 2013, 85, 1637; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Saulis G., Saulė R., Biochim. Biophys. Acta, Biomembr. 2012, 1818, 3032; [DOI] [PubMed] [Google Scholar]; c) Pakhomov A. G., Kolb J. F., White J. A., Joshi R. P., Xiao S., Schoenbach K. H., Bioelectromagnetics 2007, 28, 655. [DOI] [PubMed] [Google Scholar]
- 11.a) Hui T. H., Zhou Z. L., Fong H. W., Ngan R. K. C., Lee T. Y., Au J. S. K., Ngan A. H. W., Yip T. T. C., Lin Y., Sci. Rep. 2016, 6, 26692; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Teissie J., Rols M.‐P., Ann. N. Y. Acad. Sci. 1994, 720, 98. [DOI] [PubMed] [Google Scholar]
- 12. Dimova R., Marques C., The Giant Vesicle Book, Taylor & Francis Group, LLC, Boca Raton, FL: 2019. [Google Scholar]
- 13.a) Fenz S. F., Sengupta K., Integr. Biol. 2012, 4, 982; [DOI] [PubMed] [Google Scholar]; b) Dimova R., Annu. Rev. Biophys. 2019, 48, 93. [DOI] [PubMed] [Google Scholar]
- 14.a) Li S., Hu P. C., Malmstadt N., Biophys. J. 2011, 101, 700; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Al Nahas K., Cama J., Schaich M., Hammond K., Deshpande S., Dekker C., Ryadnov M. G., Keyser U. F., Lab Chip 2019, 19, 837. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 15.a) Riske K. A., Dimova R., Biophys. J. 2005, 88, 241A; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Karatekin E., Sandre O., Guitouni H., Borghi N., Puech P. H., Brochard‐Wyart F., Biophys. J. 2003, 84, 1734. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 16. Riske K. A., in Advances in Planar Lipid Bilayers and Liposomes, Vol. 21 (Eds: Aleš Iglič C. V. K., Michael R.), Academic Press, Amsterdam: 2015, pp. 99–129. [Google Scholar]
- 17. Bleicken S., Landeta O., Landajuela A., Basañez G., García‐Sáez A. J., J. Biol. Chem. 2013, 288, 33241. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18. Mattei B., Lira R. B., Perez K. R., Riske K. A., Chem. Phys. Lipids 2017, 202, 28. [DOI] [PubMed] [Google Scholar]
- 19.a) Peterlin P., Arrigler V., Colloids Surf., B 2008, 64, 77; [DOI] [PubMed] [Google Scholar]; b) Emami S., Su W.‐C., Purushothaman S., Ngassam V. N., Parikh A. N., Biophys. J. 2018, 115, 1942. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 20. Zhelev D. V., Needham D., Biochim. Biophys. Acta 1993, 1147, 89. [DOI] [PubMed] [Google Scholar]
- 21.a) Dimova R., Riske K. A., Aranda S., Bezlyepkina N., Knorr R. L., Lipowsky R., Soft Matter 2007, 3, 817; [DOI] [PubMed] [Google Scholar]; b) Dimova R., Bezlyepkina N., Jordo M. D., Knorr R. L., Riske K. A., Staykova M., Vlahovska P. M., Yamamoto T., Yang P., Lipowsky R., Soft Matter 2009, 5, 3201; [Google Scholar]; c) Perrier D. L., Rems L., Boukany P. E., Adv. Colloid Interface Sci. 2017, 249, 248. [DOI] [PubMed] [Google Scholar]
- 22.a) Aranda S., Riske K. A., Lipowsky R., Dimova R., Biophys. J. 2008, 95, L19; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Riske K. A., Dimova R., Biophys. J. 2006, 91, 1778. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 23. Lira R. B., Dimova R., Riske K. A., Biophys. J. 2014, 107, 1609. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 24.a) Litster J. D., Phys. Lett. A 1975, 53, 193; [Google Scholar]; b) Evans E., Heinrich V., Ludwig F., Rawicz W., Biophys. J. 2003, 85, 2342. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.a) Portet T., Dimova R., Biophys. J. 2010, 99, 3264; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Needham D., Hochmuth R. M., Biophys. J. 1989, 55, 1001. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 26. Cook G. M. W., Jacobson W., Biochem. J. 1968, 107, 549. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 27. Riske K. A., Knorr R. L., Dimova R., Soft Matter 2009, 5, 1983. [DOI] [PubMed] [Google Scholar]
- 28. Roy D., Steinkühler J., Zhao Z., Lipowsky R., Dimova R., Nano Lett. 2020, 20, 3185. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 29. Steinkühler J., De Tillieux P., Knorr R. L., Lipowsky R., Dimova R., Sci. Rep. 2018, 8, 11838. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 30. Henderson J. M., Waring A. J., Separovic F., Lee K. Y. C., Biophys. J. 2016, 111, 2176. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 31.a) Machan R., Hof M., Biochim. Biophys. Acta, Biomembr. 2010, 1798, 1377; [DOI] [PubMed] [Google Scholar]; b) Lira R. B., Steinkühler J., Knorr R. L., Dimova R., Riske K. A., Sci. Rep. 2016, 6, 25254. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 32. Armstrong J. K., Wenby R. B., Meiselman H. J., Fisher T. C., Biophys. J. 2004, 87, 4259. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 33. Riske K. A., Sudbrack T. P., Archilha N. L., Uchoa A. F., Schroder A. P., Marques C. M., Baptista M. S., Itri R., Biophys. J. 2009, 97, 1362. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 34. Vernier P. T., Ziegler M. J., Dimova R., Langmuir 2009, 25, 1020. [DOI] [PubMed] [Google Scholar]
- 35. Riske K. A., Dobereiner H. G., Lamy‐Freund M. T., J. Phys. Chem. B 2003, 107, 5391. [Google Scholar]
- 36. Knorr R. L., Steinkühler J., Dimova R., Biochim. Biophys. Acta, Biomembr. 2018, 1860, 1957. [DOI] [PubMed] [Google Scholar]
- 37. Puech P. H., Borghi N., Karatekin E., Brochard‐Wyart F., Phys. Rev. Lett. 2003, 90, 128304. [DOI] [PubMed] [Google Scholar]
- 38.a) Oglęcka K., Rangamani P., Liedberg B., Kraut R. S., Parikh A. N., eLife 2014, 3, 03695; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Peterlin P., Arrigler V., Haleva E., Diamant H., Soft Matter 2012, 8, 2185; [Google Scholar]; c) Chabanon M., Ho J. C. S., Liedberg B., Parikh A. N., Rangamani P., Biophys. J. 2017, 112, 1682; [DOI] [PMC free article] [PubMed] [Google Scholar]; d) Saha S. K., Alam Shibly S. U., Yamazaki M., J. Phys. Chem. B 2020, 124, 5588. [DOI] [PubMed] [Google Scholar]
- 39. Guedeau‐Boudeville M. A., Jullien L., di Meglio J. M., Proc. Natl. Acad. Sci. USA 1995, 92, 9590. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 40. Saitoh A., Takiguchi K., Tanaka Y., Hotani H., Proc. Natl. Acad. Sci. USA 1998, 95, 1026. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 41. Mattei B., Franca A. D. C., Riske K. A., Langmuir 2015, 31, 378. [DOI] [PubMed] [Google Scholar]
- 42.a) Graber Z. T., Shi Z., Baumgart T., Phys. Chem. Chem. Phys. 2017, 19, 15285; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Ali Doosti B., Pezeshkian W., Bruhn D. S., Ipsen J. H., Khandelia H., Jeffries G. D. M., Lobovkina T., Langmuir 2017, 33, 11010. [DOI] [PubMed] [Google Scholar]
- 43.a) Rowat A. C., Hansen P. L., Ipsen J. H., Europhys. Lett. 2004, 67, 144; [Google Scholar]; b) Dimova R., Adv. Colloid Interface Sci. 2014, 208, 225; [DOI] [PubMed] [Google Scholar]; c) Faizi H. A., Frey S. L., Steinkühler J., Dimova R., Vlahovska P. M., Soft Matter 2019, 15, 6006. [DOI] [PubMed] [Google Scholar]
- 44.a) Shoemaker S. D., Vanderlick T. K., Biophys. J. 2002, 83, 2007; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Shoemaker S. D., Vanderlick T. K., J. Colloid Interface Sci. 2003, 266, 314; [DOI] [PubMed] [Google Scholar]; c) Levadny V., Tsuboi T.‐A., Belaya M., Yamazaki M., Langmuir 2013, 29, 3848. [DOI] [PubMed] [Google Scholar]
- 45. Pera H., Kleijn J. M., Leermakers F. A. M., J. Chem. Phys. 2015, 142, 034101. [DOI] [PubMed] [Google Scholar]
- 46. Riske K. A., Amaral L. Q., Lamy M. T., Langmuir 2009, 25, 10083. [DOI] [PubMed] [Google Scholar]
- 47.a) Genco I., Gliozzi A., Relini A., Robello M., Scalas E., Biochim. Biophys. Acta 1993, 1149, 10; [DOI] [PubMed] [Google Scholar]; b) Melikyan G. B., Matinyan N. S., Arakelian V. B., Biochim. Biophys. Acta 1990, 1030, 11; [DOI] [PubMed] [Google Scholar]; c) Chernomordik L. V., Kozlov M. M., Melikyan G. B., Abidor I. G., Markin V. S., Chizmadzhev Y. A., Biochim. Biophys. Acta 1985, 812, 643. [Google Scholar]
- 48. Pan J., Heberle F. A., Tristram‐Nagle S., Szymanski M., Koepfinger M., Katsaras J., Kučerka N., Biochim. Biophys. Acta, Biomembr. 2012, 1818, 2135. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 49. Betterton M. D., Brenner M. P., Phys. Rev. Lett. 1999, 82, 1598. [Google Scholar]
- 50. Ha B.‐Y., Phys. Rev. E 2001, 64, 051902. [DOI] [PubMed] [Google Scholar]
- 51. Yaghmur A., Sartori B., Rappolt M., Phys. Chem. Chem. Phys. 2011, 13, 3115. [DOI] [PubMed] [Google Scholar]
- 52.a) Lew V. L., Hockaday A., Freeman C. J., Bookchin R. M., J. Cell Biol. 1988, 106, 1893; [DOI] [PMC free article] [PubMed] [Google Scholar]; b) Steck T. L., Weinstein R. S., Straus J. H., Wallach D. F. H., Science 1970, 168, 255. [DOI] [PubMed] [Google Scholar]
- 53. Lipowsky R., Faraday Discuss. 2013, 161, 305. [DOI] [PubMed] [Google Scholar]
- 54. Vernier P. T., Ziegler M. J., Sun Y. H., Gundersen M. A., Tieleman D. P., Phys. Biol. 2006, 3, 233. [DOI] [PubMed] [Google Scholar]
- 55.a) Sharmin S., Islam M. Z., Karal M. A. S., Alam Shibly S. U., Dohra H., Yamazaki M., Biochemistry 2016, 55, 4154; [DOI] [PubMed] [Google Scholar]; b) Islam M. Z., Sharmin S., Levadnyy V., Alam Shibly S. U., Yamazaki M., Langmuir 2017, 33, 2433; [DOI] [PubMed] [Google Scholar]; c) Karal M. A. S., Levadnyy V., Yamazaki M., Phys. Chem. Chem. Phys. 2016, 18, 13487. [DOI] [PubMed] [Google Scholar]
- 56. Perrier D. L., Vahid A., Kathavi V., Stam L., Rems L., Mulla Y., Muralidharan A., Koenderink G. H., Kreutzer M. T., Boukany P. E., Sci Rep 2019, 9, 8151. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 57. Bendix P. M., Simonsen A. C., Florentsen C. D., Häger S. C., Mularski A., Zanjani A. A. H., Moreno‐Pescador G., Klenow M. B., Sønder S. L., Danielsen H. M., Arastoo M. R., Heitmann A. S., Pandey M. P., Lund F. W., Dias C., Khandelia H., Nylandsted J., Cells 2020, 9, 1029. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 58. Angelova M. I., Dimitrov D. S., Faraday Discuss. 1986, 81, 303. [Google Scholar]
- 59. Lira R. B., Robinson T., Dimova R., Riske K. A., Biophys. J. 2019, 116, 79. [DOI] [PMC free article] [PubMed] [Google Scholar]
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