Pulse-length dependence of the electrical breakdown in lipid bilayer membranes

Charge-pulse experiments were performed on artificial lipid bilayer membranes with charging times in the range between 10 ns and 10 μs. If the membranes are charged to voltages in the order of 100 mV, the membrane voltage at the end of the charge pulse is a linear function of the injected charge. However, if the membranes are charged to voltages in the range of 1 V, this relationship no longer holds and a reversible high conductance state occurs. This state is defined as an electrical breakdown and it does not allow the membranes to charge to higher voltages than the breakdown voltage, $\text{V}{}_{\mathrm{<mtext>c</mtext>}}$. Between charging times of 300 ns and 5 μs at 25°C and between 100 ns and 2 μs at 40°C, $\text{V}{}_{\mathrm{<mtext>c</mtext>}}$ showed a strong dependence on the charging time of the membrane and decreased from 1.2 to 0.5 V (25°C) and from 1 to 0.4 V (40°C). For other charging times below and above these ranges, the breakdown voltage seemed to be constant. The results indicate that the breakdown phenomenon occurs in less than 10 ns.The pulse-length dependence of the breakdown voltage is consistent with the interpretation of the electrical breakdown mechanism in terms of the electromechanical model. However, it seems possible that below a charging time of the membrane of 300 ns (25°C) and 100 ns (40°C) other processes (such as the Born energy) become possible.     

An investigation of electrical breakdown of bimolecular lipid membranes

The investigation is concerned with the irreversible electrical breakdown of bimolecular lipid membranes, depending on the velocity of linear voltage scanning. It was found that the membrane breakdown potential depended on the velocity of electric field variation. For instance, at voltage scanning velocities of up to 0.1 V/s, the rupture of membrane from glycerol monooleate occurs at 0.20–0.25 V and, at velocities higher than 1 V/s, at 0.5–0.6 V. Then the film breakdown depending on lipid phase transition was studied. At high velocities of imposed voltage scanning, the disruption of the bimolecular lipid membranes was shown not to depend on their phase states; at the same time, at low velocities, one could note a slight difference in the stability of the films at temperatures higher and lower than those of the phase transition. Whereas transition from gel to liquid-crystalline state involves transition from an ordered to a less ordered membrane structure with a sharp increase in the number of defects in the membrane, the authors, conclude that the film breakdown in the second case occurs by the ‘defect’ mechanism suggested earlier. It was also assumed that, in certain cases involving low velocities of voltage scanning, membrane breakdown may occur because of variation in the interfacial tension and in the contact angle between the film and torus. Possible mechanisms of the membrane irreversible electrical breakdown at high velocities of voltage variation are discussed. It was shown that breakdown should occur as a result of membrane compression in an electric field by a mechanism previously examined. The elastic moduli of a number of membranes were calculated by the breakdown criterion suggested earlier. They were found to coincide with the results of other investigators and, depending on the type of lipid, to equal 10⁵–10⁶ Pa.     

Electrical injury mechanisms: electrical breakdown of cell membranes

Electric fields are capable of damaging cells through both thermal and nonthermal mechanisms. While joule heating is generally recognized to mediate tissue injury in electrical trauma, the possible role of electrical breakdown of cell membranes has not been thoroughly considered. Evidence is presented suggestive that in many instances of electrical trauma the local electrical field is of sufficient magnitude to cause electrical breakdown of cell membranes and cell lysis. In theory, large cells such as muscle and nerve cells are more vulnerable to electrical breakdown. To illustrate the significance of cell size and orientation, a geometrically simple model of an elongated cell is analyzed.     

The breakdown of cell membranes by electrical and mechanical stress.

We attempted to determine whether mechanical tension and electrical stress couple to cause membrane breakdown in cells. Using cell-attached patches from HEK293 cells, we estimated the mechanically produced tension from the applied pressure and geometry of the patch. Voltage pulses of increasing amplitude were applied until we observed a sudden increase in conductance and capacitance. For pulses of 50 micros duration, breakdown required >0.5 V and was dependent on the tension. For pulses of 50-100 ms duration, breakdown required 0.2-0.4 V and was independent of tension. Apparently two physically different processes can lead to membrane breakdown. We could explain the response to the short, high-voltage pulses if breakdown occurred in the lipid bilayer. The critical electromechanical energy per unit area for breakdown by short pulses was approximately 4 dyne/cm, in agreement with earlier results on bilayers. Our data suggest that, at least in a patch, the bilayer may hold a significant fraction (approximately 40%) of the mean tension. To be compatible with the large, nonlytic area changes of patches, the bilayer appears to be pulled toward the pipette tip, perhaps by hydrophobic forces wetting membrane proteins bound to the glass. Although breakdown voltages for long pulses were in agreement with earlier work on algae, the mechanism(s) for this breakdown remain unclear.     

Reversible electrical breakdown of lipid bilayer membranes: A charge-pulse relaxation study

Summary Charge-pulse experiments were performed with lipid bilayer membranes from oxidized cholesterol/n-decane at relatively high voltages (several hundred mV). The membranes show an irreversible mechanical rupture if the membrane is charged to voltages on the order of 300 mV. In the case of the mechanical rupture, the voltage across the membrane needs about 50–200 sec to decay completely to zero. At much higher voltages, applied to the membrane by charge pulses of about 500 nsec duration, a decrease of the specific resistance of the membranes by nine orders of magnitude is observed (from 10⁸ to 0.1 cm²), which is correlated with the reversible electrical breakdown of the lipid bilayer membrane. Due to the high conductance increase (breakdown) of the bilayer it is not possible to charge the membrane to a larger value than the critical potential differenceV _c. For 1m alkali ion chloridesV _c was about 1 V. The temperature dependence of the electrical breakdown voltageV _c is comparable to that being observed with cell membranes.V _c decreases between 2 and 48°C from 1.5 to 0.6 V in the presence of 1m KCl.Breakdown experiments were also performed with lipid bilayer membranes composed of other lipids. The fast decay of the voltage (current) in the 100-nsec range after application of a charge pulse was very similar in these experiments compared with experiments with membranes made from oxidized cholesterol. However, the membranes made from other lipids show a mechanical breakdown after the electrical breakdown, whereas with one single membrane from oxidized cholesterol more than twenty reproducible breakdown experiments could be repeated without a visible disturbance of the membrane stability.The reversible electrical breakdown of the membrane is discussed in terms of both compression of the membrane (electromechanical model) and ion movement through the membrane induced by high electric field strength (Born energy).     

On the effect of prestin on the electrical breakdown of cell membranes

The voltage-dependent activity of prestin, the outer hair cell (OHC) motor protein essential for its electromotility, enhances the mammalian inner ear's auditory sensitivity. We investigated the effect of prestin's activity on the plasma membrane's (PM) susceptibility to electroporation (EP) via cell-attached patch-clamping. Guinea pig OHCs, TSA201 cells, and prestin-transfected TSA cells were subjected to incremental 50 mus and/or 50 ms voltage pulse trains, or ramps, at rates from 10 V/s to 1 kV/s, to a maximum transmembrane potential of +/-1000 mV. EP was determined by an increase in capacitance to whole-cell levels. OHCs were probed at the prestin-rich lateral PM or prestin-devoid basal portion; TSA cells were patched at random points. OHCs were consistently electroporated with 50 ms pulses, with significant resistance to depolarizing pulses. Although EP rarely occurred with 50 mus pulses, prior stimulation with this protocol had a significant effect on the sensitivity to EP with 50 ms pulses, regardless of polarity or PM domain. Consistent with these results, resistance to EP with depolarizing 10-V/s ramps was also found. Our findings with TSA cells were comparable, showing resistance to EP with both depolarizing 50-ms pulses and 10 V/s ramps. We conclude prestin significantly affects susceptibility to EP, possibly via known biophysical influences on specific membrane capacitance and/or membrane stiffness.     

The breakdown of bilayer lipid membranes by dendrimers

The BLM-system for studying the electrophysical properties of bilayer lipid membranes (BLM) was applied to investigate interactions between polyamidoamine (PAMAM) dendrimers and lipid bilayers. The cationic PAMAM G5 dendrimer effectively disrupted planar phosphatidylcholine membranes, while the hydroxyl PAMAM-OH G5 and carboxyl PAMAM G4.5 dendrimers had no significant effect on them.     

Kinetics of pore size during irreversible electrical breakdown of lipid bilayer membranes.

The kinetics of pore formation followed by mechanical rupture of lipid bilayer membranes were investigated in detail by using the charge-pulse method. Membranes of various compositions were charged to a sufficiently high voltage to induce mechanical breakdown. The subsequent decrease of membrane voltage was used to calculate the conductance. During mechanical breakdown, which was probably caused by the widening of one single pore, the membrane conductance was a linear and not exponential function of time after the initial starting process. In a large number of experiments using various lipids and electrolytes, the characteristic opening process of the pore turned out to be independent of the actual membrane potential and electrolyte concentration. Our theoretical analysis of the pore formation suggested that the voltage-induced irreversible breakdown is due to a decrease in edge energy when the pore had formed. After initiation of the pore, the electrical contribution to surface tension is negligible. The time course of the increase of pore size shows that our model of the irreversible breakdown is in good agreement with mechanical properties of membranes reported elsewhere.     

The mechanism of electrical breakdown in the membranes ofValonia utricularis

Summary The dielectric breakdown in the membranes of cells ofValonia utricularis was investigated using intracellular electrodes and 500-sec current pulses. Electrical breakdown, which occurs when the membrane potential reaches a well-defined critical value, is not associated with global damage to the cell or its membranes (the membrane reseals in <5 sec). It was thus possible to investigate the effect of temperature on dielectric breakdown in single cells. It was found that the critical potential for breakdown was strongly dependent on temperature, decreasing from 1000 mV at 4°C to 640 mV at 30°C. The decrease in the breakdown potential with increasing temperature and the very short rise-time of the breakdown current (1 sec) suggests that the Wien field dissociation does not play a major role in the breakdown process. It is shown that the nonlinearI–V characteristics observed at different temperatures can be accurately accounted for with no adjustable parameters, by considerations of the mechanical compression of the membrane due to stresses induced by the electric field. Electrical breakdown on this scheme results from an electromechanical instability in the membrane. On this basis the present results indicate that the elastic modulus of the region of the membrane where breakdown occurs, decreases by a factor of 2 with increasing temperature from 4 to 30°C. On the assumption of a thickness of 4.0 nm and a dielectric constant of 5, the elastic modulus is estimated to have a value of 5×10⁶ Nm^–2 at 20°C.     

Electric field-induced breakdown of lipid bilayers and cell membranes: A thin viscoelastic film model

Summary A simple viscoelastic film model is presented, which predicts a breakdown electric potential having a dependence on the electric pulse length which approximates the available experimental data for the electric breakdown of lipid bilayers and cell membranes (summarized in the reviews of U. Zimmermann and J. Vienken, 1982,J. Membrane Biol. 67:165 and U. Zimmermann, 1982,Biochim. Biophys. Acta 694:227). The basic result is a formula for the time of membrane breakdown (up to the formation of pores): =(/C)/( _m ² ₀ ² U ⁴/24Gh ³+T ²/Gh–1), where is a proportionality coefficient approximately equal to ln(h/2₀),h being the membrane thickness and ₀ the amplitude of the initial membrane surface shape fluctuation ( is usually of the order of unity), represents the membrane shear viscosity,G the membranes shear elasticity modules, _m the membrane relative permittivity, ₀=8.85×10^–12 Fm,U the electric potential across the membrane, the membrane surface tension andT the membrane tension. This formula predicts a critical potentialU _c ;U _c =(24Gh ³/ _m ² ₀ ² )^1/4 (for = andT=0). It is proposed that the time course of the electric field-induced membrane breakdown can be divided into three stages: (i) growth of the membrane surface fluctuations, (ii) molecular rearrangements leading to membrane discontinuities, and (iii) expansion of the pores, resulting in the mechanical breakdown of the membrane.     

The resealing process of lipid bilayers after reversible electrical breakdown

The resealing process of lipid bilayer membranes after reversible electrical breakdown was investigated using two voltage pulses switched on together. Electrical breakdown of the membranes was induced with a voltage pulse of high intensity and short duration. The time course of the change in membrane conductance after the application of the high (short) voltage pulse was measured with a longer voltage pulse of low amplitude. The decrease in membrane conductance during the resealing process could be fitted to a single exponential curve with a time constant of 10-2 μs in the temperature range between 2 and 20°C. The activation energy for this exponential decay process was found to be about 50 kJ/mol, which might indicate a diffusion process. Above 25°C the resealing process is controlled by two exponential processes.The data obtained for the time course of the resealing process can be explained in terms of pore formation in the membranes in response to the high electrical field strength. A radius of about 4 nm is calculated for the initial pore size. From the assumed exponential change of the pore area with progressive resealing time a diffusion constant of 10^?8 cm²/s for lateral lipid diffusion can be estimated.     

Reversible electrical breakdown of lipid bilayers: formation and evolution of pores

The mechanism of reversible electric breakdown of lipid membranes is studied. The following stages of the process of pore development are substantiated. Hydrophobic pores are formed in the lipid bilayer by spontaneous fluctuations. If these water-filled defects extend to a radius of 0.3 to 0.5 nm, a hydrophilic pore is formed by reorientation of the lipid molecules. This process is favoured by a potential difference across the membrane. The conductivity of the pores depends on membrane voltage, and the type of this dependence changes with the radius of the pore. Hydrophilic pores of an effective radius of 0.6 up to more than 1 nm are formed, which account for the membrane conductivity increase observed. The characteristic times of changes in average radius and number of pores during the voltage pulse and after it are investigated.     

Reversible electrical breakdown of lipid bilayers: formation and evolution of pores

The mechanism of reversible electric breakdown of lipid membranes is studied. The following stages of the process of pore development are substantiated. Hydrophobic pores are formed in the lipid bilayer by spontaneous fluctuations. If these water-filled defects extend to a radius of 0.3 to 0.5 nm, a hydrophilic pore is formed by reorientation of the lipid molecules. This process is favoured by a potential difference across the membrane. The conductivity of the pores depends on membrane voltage, and the type of this dependence changes with the radius of the pore. Hydrophilic pores of an effective radius of 0.6 up to more than 1 nm are formed, which account for the membrane conductivity increase observed. The characteristic times of changes in average radius and number of pores during the voltage pulse and after it are investigated.     

The effect of synthetic polymers on the electrical and permeability properties of lipid membranes

1. The effect of two series of hydrophilic and hydrophobic polymers on the stability, conductivity and permeability towards water and leucine of black lipid membranes and liposomes is reported. 2. The changes in properties of these membrane preparations is related to bulk phase viscosity and dielectric measurements together with monolayer studies. 3. The hydrophobic polymers dramatically increase membrane stability, had no effect on conductivity, but increased the permeability coefficient of leucine. 4. The hydrophilic polymers produced minor, but significant changes to membrane properties. 5. It is concluded that not only basic polymers but also neutral and acidic macromolecules can interact strongly with lipid membranes.     

The effect of pressure on the electrical breakdown in the membranes of Valonia utricularis

The interpretation of electrical breakdown in terms of electro-mechanical instabilities, predicts that the breakdown potential should decrease with increasing cell turgor pressure.Experiments were conducted to test this hypothesis on cells of Valonia utricularis over a turgor pressure range of 0.5 · 10⁵–5.0 · 10⁵ N/m². Electrical breakdown was measured using intracellular electrodes and 500 μs current pulses. The pressure was monitored by an intracellular micropipette pressure transducer. The results obtained show a linear decrease in the critical breakdown potential with pressure. The effective compressive modulus of the cell membrane, γ, is calculated from the slope of this line to 69 ± 10 · 10⁵N/m² (average value of seven measurements). This is consistent with the theoretical prediction of the electromechanical model using our previously determined values of the elastic modulus of the membrane.A theoretical analysis is given of the effects of pressure on the breakdown. This includes also considerations of the indirect effect of pressure on the membrane via stretching of the cell wall with a possible coupling of such strains to the cell membrane. The results and analysis presented allow us to conclude on the basis of the experimentally determined breakdown P.D. of 959 mV that the region of membrane where electrical breakdown occurs is a dielectric with one of the following combinations of parameters: (A) a thickness δ = 7–9 nm with a dielectric constant ? = >10, e.g. a hydrated protein spanning the whole membrane. (B) δ = 4–5 nm with ? = 3–8, e.g. a lipoprotein of lipid bilayer dimensions. (C) δ ≈ 2 nm with ? = 2–3, e.g. a half lipid bilayer.If we assume that the breakdown P.D. of the tonoplast and plasmalemma are identical, that is 480 mV, then there is only one reasonable choice for the membrane thickness and the dielectric constant: δ = 2nm, ? = 3–8, e.g. a (lipo-)proteinaceous module facing a half lipid bilayer.     

The influence of different membrane components on the electrical stability of bilayer lipid membranes

A good understanding of cell membrane properties is crucial for better controlled and reproducible experiments, particularly for cell electroporation where the mechanism of pore formation is not fully elucidated. In this article we study the influence on that process of several constituents found in natural membranes using bilayer lipid membranes. This is achieved by measuring the electroporation threshold (V_th) defined as the potential at which pores appear in the membrane. We start from highly stable 1,2-diphytanoyl-sn-glycero-3-phosphocholine (DPhPC) membranes (V_th ∼ 200 mV), and subsequently add therein other phospholipids, cholesterol and a channel protein. While the phospholipid composition has a slight effect (100 mV ≤ V_th ≤ 290 mV), cholesterol gives a concentration-dependent effect: a slight stabilization until 5% weight (V_th ∼ 250 mV) followed by a noticeable destabilization (V_th ∼ 100 mV at 20%). Interestingly, the presence of a model protein, α-hemolysin, dramatically disfavours membrane poration and V_th shows a 4-fold increase (∼ 800 mV) from a protein density in the membrane of 24 × 10^− 3 proteins/μm². In general, we find that pore formation is affected by the molecular organization (packing and ordering) in the membrane and by its thickness. We correlate the resulting changes in molecular interactions to theories on pore formation.