Electroporation of cell membrane visualized under a pulsed-laser fluorescence microscope.

Controlled permeability can be conferred to cell membranes by exposing cells to a microsecond electric pulse of sufficient intensity (electroporation). By constructing a fluorescence microimaging system with a submicrosecond time resolution we have been able to resolve temporally and spatially the events in a single cell under a microsecond electric pulse. An enormous membrane conductance, corresponding to a loss of 0.01-0.1% of the membrane area, was observed in those membrane regions where the transmembrane potential induced by the electric pulse exceeded a critical value. The conductance decreased to a low level in a submillisecond after the pulse, leaving a moderately electroporated cell.     

Time courses of cell electroporation as revealed by submicrosecond imaging of transmembrane potential.

Changes in the membrane conductance of sea urchin eggs, during the course of electroporation, were investigated over the time range of 0.5 microsecond to 1 ms by imaging the transmembrane potential at a submicrosecond resolution with the voltage-sensitive fluorescent dye RH292. When a rectangular electric pulse of moderate intensity was applied across an egg, a position-dependent potential developed synchronously with the pulse, as theory predicts for a cell with an insulating membrane. From the rise and fall times, the membrane capacitance of unfertilized eggs was estimated to be 0.95 microF/cm2 and the intracellular conductance 220 omega.cm. Under an electric pulse of much higher intensity, the rise of the induced potential stopped at a certain level and then slowly decreased on the microsecond time scale. This saturation and subsequent reversal of the potential development was ascribed to the introduction of finite membrane conductance, or permeabilization of the membrane, by the action of the intense pulse (electroporation). Detailed analysis indicated the following: already at 0.5 microsecond in the rectangular electric pulse, the two sides of the egg facing the positive and negative electrodes were porated and gave a high membrane conductance in the order of 1 S/cm2; the conductance on the positive side appeared higher. Thereafter, the conductance increased steadily, reaching the order of 10 S/cm2 by 1 ms. This increase was faster on the negative-electrode side; by 1 ms the conductance on the negative side was more than twice that on the positive side. The recovery of the porated membrane after the pulse treatment was assessed from the membrane conductance estimated in a second electric pulse of a small amplitude. At least two recovery processes were distinguished, one with a time constant of 7 microseconds and the other 0.5 ms, at the end of which the membrane conductance was already < 0.1 S/cm2.     

Comparison of membrane electroporation and protein denature in response to pulsed electric field with different durations

In this paper, we compared the minimum potential differences in the electroporation of membrane lipid bilayers and the denaturation of membrane proteins in response to an intensive pulsed electric field with various pulse durations. Single skeletal muscle fibers were exposed to a pulsed external electric field. The field‐induced changes in the membrane integrity (leakage current) and the Na channel currents were monitored to identify the minimum electric field needed to damage the membrane lipid bilayer and the membrane proteins, respectively. We found that in response to a relatively long pulsed electric shock (longer than the membrane intrinsic time constant), a lower membrane potential was needed to electroporate the cell membrane than for denaturing the membrane proteins, while for a short pulse a higher membrane potential was needed. In other words, phospholipid bilayers are more sensitive to the electric field than the membrane proteins for a long pulsed shock, while for a short pulse the proteins become more vulnerable. We can predict that for a short or ultrashort pulsed electric shock, the minimum membrane potential required to start to denature the protein functions in the cell plasma membrane is lower than that which starts to reduce the membrane integrity. Bioelectromagnetics 34:253–263, 2013. © 2012 Wiley Periodicals, Inc.     

Membrane potential induced by external electric field pulses can be followed with a potentiometric dye.

A potential-sensitive dye was recently used to measure the spatial variation in the membrane potential induced by an externally applied electric field. In this work, we demonstrate that the time course of these induced potentials can also be followed. Two experimental systems were explored. Dye fluorescence from HeLa cells could be modulated by a train of field pulses; the relative fluorescence change measured with a lock-in amplifier was linear with the field and similar to the fluorescence responses obtained in the static measurements. A model membrane system consisting of a hemispherical bilayer allowed convenient measurement of the dye absorbance change as a function of the bathing solution conductivity. The charging time of the membrane was inversely related to the aqueous conductance as predicted by the theoretical solution to Laplace's equation.     

A novel method for measuring membrane conductance changes by a voltage-sensitive optical probe.

This study presents a method whose principles enable using a voltage-sensitive optical probe, to quantitatively measure conductivity changes elicited in membrane vesicles and cells. The procedure is based on the fact that the amplitude of the transmembrane potential difference, established across a membrane by an external electric field, is decreased when membrane conductivity is increased upon incorporation of ionophores into the membrane. The method was applied to osmotically swollen thylakoid membranes whose membrane conductivity was changed by the addition of gramicidin or ionomycin. The electric field induced stimulated luminescence from photosystem I (electrophotoluminescence-EPL) was used as a voltage-sensitive optical probe. We calculated the induced conductance changes by using a calibrated EPL vs external electric field response curve and measuring the ionophore-mediated attenuation of the EPL signal. The calculated ionophore-unmodified conductance of the thylakoid membrane yields a value of 171 +/- 56 nS/cm. The value of the membrane conductance, modified by 10 nM gramicidin was found to be 190 +/- 56 nS/cm. The modified membrane conductance and the membrane conductance changes induced by 1 microM ionomycin in the presence of CaCl2 were found to be 186 +/- 3 nS/cm and 15 +/- 3 nS/cm, respectively.     

Dipole interactions in electrofusion. Contributions of membrane potential and effective dipole interaction pressures.

The contributions of pulse-induced dipole-dipole interaction to the total pressure acting normal to the membranes of closely positioned pronase treated human erythrocytes during electrofusion was calculated. The total pressure was modeled as the sum of pressures arising from membrane potential and dipole-dipole attraction opposed by interbilayer repulsion. The dipole-dipole interaction was derived from the experimentally obtained cell polarizability. The threshold electric field amplitude necessary for fusion of pronase-treated human erythrocytes was experimentally obtained at various combinations of pulse duration, frequency, and the conductivity of the external medium. The theoretical values of the critical electric field amplitude compared favorably to the experimentally obtained threshold field amplitudes. Fusion by dc pulses may be primarily attributed to attainment of sufficiently high membrane potentials. However, with decreasing external conductivity and increasing sinusoidal pulse frequency (100 kHz-2.5 MHz), the induced dipole-dipole interactions provide the principal driving force for membrane failure leading to fusion.     

Calcium waves induced by large voltage pulses in fish keratocytes.

Intracellular calcium waves in fish keratocytes are induced by the application of electric field pulses with amplitudes between 55 and 120 V/cm and full width at half-maximum of 65-100 ms. Calcium concentrations were imaged using two-photon excited fluorescence microscopy (Denk et al., 1990 Science. 248:73-76; Williams et al. 1994 FASEB J. 8:804-813) and the ratiometric calcium indicator indo-1. The applied electric field pulses induced waves with fast calcium rise times and slow decays, which nucleated in the lamellipodium at the hyperpolarized side of the cells and, less frequently, at the depolarized side. The effectiveness of wave generation was determined by the change induced in the membrane potential, which is about half the field strength times the cell width in the direction of the field. Stimulation of waves began at voltage drops across the cell above 150 mV and saturated at voltage drops above 300 mV, where almost all cells exhibited a wave. Waves were not induced in low-calcium media and were blocked by the nonselective calcium channel blockers cobalt chloride and verapamil, but not by specific organic antagonists of voltage-sensitive calcium channel conductance. Thapsigargin stopped wave propagation in the cell body, indicating that calcium release from intracellular stores is necessary. Thus a voltage pulse stimulates Ca2+ influx through calcium channels in the plasma membrane, and if the intracellular calcium concentration reaches a threshold, release from intracellular stores is induced, creating a propagating wave. These observations and the measured parameters (average velocity approximately 66 micron/s and average rise time approximately 68 ms) are consistent with a wave amplification model in which[equation, see text] determines the effective diffusivity of the propagating molecules, D approximately 300 micron2/s (Meyer, 1991. Cell. 64:675-678).     

Plasma membrane voltage changes during nanosecond pulsed electric field exposure

The change in the membrane potential of Jurkat cells in response to nanosecond pulsed electric fields was studied for pulses with a duration of 60 ns and maximum field strengths of approximately 100 kV/cm (100 V/cell diameter). Membranes of Jurkat cells were stained with a fast voltage-sensitive dye, ANNINE-6, which has a subnanosecond voltage response time. A temporal resolution of 5 ns was achieved by the excitation of this dye with a tunable laser pulse. The laser pulse was synchronized with the applied electric field to record images at times before, during, and after exposure. When exposing the Jurkat cells to a pulse, the voltage across the membrane at the anodic pole of the cell reached values of 1.6 V after 15 ns, almost twice the voltage level generally required for electroporation. Voltages across the membrane on the side facing the cathode reached values of only 0.6 V in the same time period, indicating a strong asymmetry in conduction mechanisms in the membranes of the two opposite cell hemispheres. This small voltage drop of 0.6-1.6 V across the plasma membrane demonstrates that nearly the entire imposed electric field of 10 V/mum penetrates into the interior of the cell and every organelle.     

Time courses of mammalian cell electropermeabilization observed by millisecond imaging of membrane property changes during the pulse

Time courses of electropermeabilization were analyzed during the electric field application using a rapid fluorescent imaging system. Exchanges of calcium ions through electropermeabilized membrane of Chinese hamster ovary cells were found to be asymmetrical. Entry of calcium ions during a millisecond pulse occurred on the anode-facing cell hemisphere. Entry through the region facing the cathode was observed only after the pulse. Leakage of intracellular calcium ions from electropermeabilized cell in low-calcium content medium was observed only from the anode-facing side. The exchanges during the pulse were mostly due to diffusion-driven processes, i.e., governed by the concentration gradient. Interaction of propidium iodide, a dye sensitive to the structural alteration of membrane, with cell membrane was asymmetrical during electropermeabilization. Localized enhancement of the dye fluorescence was observed during and after the pulsation on the cell surface. Specific staining of a limited anode-facing part of the membrane was observed as soon as the pulse was applied. The membrane fluorescence level increased during and immediately after the pulse whereas the geometry of the staining was unchanged. The membrane regions stained by propidium iodide were the same as those where calcium exchanges occurred. The fraction of the membrane on which structural alterations occurred was defined by the field strength. The density of defects was governed by the pulse duration. Electropermeabilization is a localized but asymmetrical process. The membrane defects are created unequally on the two cell sides during the pulse, implying a vectorial effect of the electric field on the membrane.     

Modeling electroporation in a single cell

Electroporation uses electric pulses to promote delivery of DNA and drugs into cells. This study presents a model of electroporation in a spherical cell exposed to an electric field. The model determines transmembrane potential, number of pores, and distribution of pore radii as functions of time and position on the cell surface. For a 1-ms, 40 kV/m pulse, electroporation consists of three stages: charging of the cell membrane (0-0.51 micros), creation of pores (0.51-1.43 micros), and evolution of pore radii (1.43 micros to 1 ms). This pulse creates approximately 341,000 pores, of which 97.8% are small ( approximately 1 nm radius) and 2.2% are large. The average radius of large pores is 22.8 +/- 18.7 nm, although some pores grow to 419 nm. The highest pore density occurs on the depolarized and hyperpolarized poles but the largest pores are on the border of the electroporated regions of the cell. Despite their much smaller number, large pores comprise 95.3% of the total pore area and contribute 66% to the increased cell conductance. For stronger pulses, pore area and cell conductance increase, but these increases are due to the creation of small pores; the number and size of large pores do not increase.     

The Effect of Electrical Deformation Forces on the Electropermeabilization of Erythrocyte Membranes in Low- and High-Conductivity Media

Electrical breakdown of erythrocytes induces hemoglobin release which increases markedly with decreasing conductivity of the pulse medium. This effect presumably results from the transient, conductivity-dependent deformation forces (elongation or compression) on the cell caused by Maxwell stress. The deformation force is exerted on the plasma membrane of the cell, which can be viewed as a transient dipole induced by an applied DC electric field pulse. The induced dipole arises from the free charges that accumulate at the cell interfaces via the Maxwell-Wagner polarization mechanism. The polarization response of erythrocytes to a DC field pulse was estimated from the experimental data obtained by using two complementary frequency-domain techniques. The response is very rapid, due to the highly conductive cytosol. Measurements of the electrorotation and electrodeformation spectra over a wide conductivity range yielded the information and data required for the calculation of the deformation force as a function of frequency and external conductivity and for the calculation of the transient development of the deformation forces during the application of a DC-field pulse. These calculations showed that (i) electric force precedes and accompanies membrane charging (up to the breakdown voltage) and (ii) that under low-conductivity conditions, the electric stretching force contributes significantly to the enlargement of ``electroleaks' in the plasma membrane generated by electric breakdown. Received: 12 December 1997/Revised: 13 March 1998     

Effect of actin cytoskeleton disruption on electric pulse‐induced apoptosis and electroporation in tumour cells

Electric pulses are known to affect the outer membrane and intracellular structures of tumour cells. By applying electrical pulses of 450 ns duration with electric field intensity of 8 kV/cm to HepG2 cells for 30 s, electric pulse‐induced changes in the integrity of the plasma membrane, apoptosis, viability and mitochondrial transmembrane potential were investigated. Results demonstrated that electric pulses induced cell apoptosis and necrosis accompanied with the decrease of mitochondrial transmembrane potential and the formation of pores in the membrane. The role of cytoskeleton in cellular response to electric pulses was investigated. We found that the apoptotic and necrosis percentages of cells in response to electric pulses decreased after cytoskeletal disruption. The electroporation of cell was not affected by cytoskeletal disruption. The results suggest that the disruption of actin skeleton is positive in protecting cells from killing by electric pulses, and the skeleton is not involved in the electroporation directly.     

Dependence of Electroporation Detection Threshold on Cell Radius: An Explanation to Observations Non Compatible with Schwan’s Equation Model

It is widely accepted that electroporation occurs when the cell transmembrane voltage induced by an external applied electric field reaches a threshold. Under this assumption, in order to trigger electroporation in a spherical cell, Schwan’s equation leads to an inversely proportional relationship between the cell radius and the minimum magnitude of the applied electric field. And, indeed, several publications report experimental evidences of an inverse relationship between the cell size and the field required to achieve electroporation. However, this dependence is not always observed or is not as steep as predicted by Schwan’s equation. The present numerical study attempts to explain these observations that do not fit Schwan’s equation on the basis of the interplay between cell membrane conductivity, permeability, and transmembrane voltage. For that, a single cell in suspension was modeled and the electric field necessary to achieve electroporation with a single pulse was determined according to two effectiveness criteria: a specific permeabilization level, understood as the relative area occupied by the pores during the pulse, and a final intracellular concentration of a molecule due to uptake by diffusion after the pulse, during membrane resealing. The results indicate that plausible model parameters can lead to divergent dependencies of the electric field threshold on the cell radius. These divergent dependencies were obtained through both criteria and using two different permeabilization models. This suggests that the interplay between cell membrane conductivity, permeability, and transmembrane voltage might be the cause of results which are noncompatible with the Schwan’s equation model.     

Biological effects of oscillating electric fields: Role of voltage-sensitive ion channels

An alternating component of potential across the membrane of an excitable cell may change the membrane conductance by interacting with the voltagesensing charged groups of the protein macromolecules that form voltage-sensitive ion channels. Because the probability that a voltage sensor is in a given state is a highly nonlinear function of the applied electric field, the average occupancy of a particular state will change in an oscillating electric field of sufficient magnitude. This “rectification” at the level of the voltage sensors could result in conformational changes (gating) that would modify channel conductance. A simplified two-state model is examined where the relaxation time of the voltage sensor is assumed to be considerably faster than the fastest changes of ionic conductance. Significant changes in the occupancy of voltage sensor states in response to an applied oscillating electric field are predicted by the model.     

Breakdown of lipid bilayer membranes in an electric field

The behaviour of lipid bilayer membranes, made of oxidized cholesterol, and UO₂²⁺-modified azolectin membranes in a high electric field has been investigated using the voltage clamp method. When a voltage pulse is applied to the membrane of these compositions, the mechanical rupture of the membranes is preceded by a gradual conductance increase which remains quite reversible till a certain moment. The voltage drop at this reversible stage of breakdown leads to a very rapid (characteristic time of less than 5 μs) decrease in the membrane conductance. At repeated voltage pulses of the same amplitude with sufficient intervals between them (approx. 10 s), the current oscillograms reflecting the reversible resistance decrease are well reproduced on the same membrane. The time of attainment of the predetermined level of the membrane conductance is strongly dependent on voltage. At different stages of breakdown we have investigated changes in the conductance of UO₂²⁺-modified membrane after the application of two-step voltage pulses, the kinetics of development of the reversible decrease in the membrane resistance in solutions of univalent and divalent ions, and also the influence of sucrose and hemoglobin on the current evolution. The relationship between the reversible conductance increase, the reversible electrical breakdown [15] and the rupture of membrane in an electric field is discussed. We propose the general interpretation of these phenomena, based on the representation of the potential-dependent appearance in the membrane of pores, the development of which is promoted by an electric field.     

Effect of electric field induced transmembrane potential on spheroidal cells: theory and experiment

The transmembrane potential on a cell exposed to an electric field is a critical parameter for successful cell permeabilization. In this study, the effect of cell shape and orientation on the induced transmembrane potential was analyzed. The transmembrane potential was calculated on prolate and oblate spheroidal cells for various orientations with respect to the electric field direction, both numerically and analytically. Changing the orientation of the cells decreases the induced transmembrane potential from its maximum value when the longest axis of the cell is parallel to the electric field, to its minimum value when the longest axis of the cell is perpendicular to the electric field. The dependency on orientation is more pronounced for elongated cells while it is negligible for spherical cells. The part of the cell membrane where a threshold transmembrane potential is exceeded represents the area of electropermeabilization, i.e. the membrane area through which the transport of molecules is established. Therefore the surface exposed to the transmembrane potential above the threshold value was calculated. The biological relevance of these theoretical results was confirmed with experimental results of the electropermeabilization of plated Chinese hamster ovary cells, which are elongated. Theoretical and experimental results show that permeabilization is not only a function of electric field intensity and cell size but also of cell shape and orientation.     

Electrophotoluminescence and the electrical properties of the photosynthetic membrane. II. Electric field-induced electrical breakdown of the photosynthetic membrane and its recovery

Preilluminated suspensions of swollen thylakoid vesicles (‘blebs’) were exposed to uni- and bipolar pairs of identical electric field pulses of variable duration, intensity and spacing. The resulting field-stimulated luminescence (electrophotoluminescence) was used as an intrinsic, voltage-sensitive optical probe to monitor electrical phenomena at the membrane level. The application of a pair of voltage pulses of opposite polarity made it possible to produce electric changes in the membrane by the first pulse and to analyse these effects by a second pulse of opposite polarity. It was found that the relative amplitudes of the two electrophoto-luminescence signals depended on the intensity of the applied electric field and on the time interval (t*) between the two pulses. When t* varied from 0.4 to 12 ms, the second stimulated luminescence signal was at first much smaller than the first one and then increased exponentially until the two signals were equal for t* ≥ 3 ms. We analysed these differences between the two field-stimulated luminescence signals as a measure of the electrical breakdown of the membrane, induced during the first pulse. In this way a distinction between irreversible and reversible breakdown could be made with an estimation of the recovery kinetics of the reversible breakdown, which was found to be complete within 3 ms. Irreversible breakdown of the membrane was found to increase with lengthening the exposure time from 0.1 to 1.3 ms especially when applying high electric field of at least 2000 V/cm.     

Time-dependent interfacial charging effects of electrical fields applied to biological systems

An important aspect of the interaction of a biological system with an externally produced electric field is that of charge separation and interfacial charging. This aspect has been ignored in some recent experimental and theoretical work. In the case of small regions of lower electrical resistivity imbedded in a higher resistivity medium, charge separation across the lower resistivity regions will result in charging of the interfaces between the lower and higher resistivity regions. The field produced by this charge separation will significantly affect the shape and the magnitude of the net electric field pulse within the lower resistivity regions. In particular, the field experienced by bone cells will be quite different from the externally produced field. The shape as well as the magnitude of the net electric field experienced by the cells depends on the time rate of change of the rising and falling phases of the externally produced electric field pulse.     

A Theoretical Study of Single-Cell Electroporation in a Microchannel

Electroporation of a single cell in a microchannel was studied. The effects of electrical (e.g., strength of the electric pulse) and geometrical (e.g., microchannel height, electrode size and position) parameters on cell membrane permeabilization were investigated. The electrodes were assumed to be embedded in the walls of the microchannel; the cell was suspended between these two electrodes. By keeping the electric pulse constant, increasing the microchannel height reduces the number and the radius of the biggest nanopores, as well as the electroporated area of the cell membrane. If the width of the electrodes is bigger than the cell diameter, the transmembrane potential will be centralized and have a sinusoidal distribution around the cell if nanopores are not generated. As the width of the electrode decreases and becomes smaller than the cell diameter, the local transmembrane potential decreases; in the nonelectroporative area, the transmembrane potential distribution deviates from the sinusoidal behavior; the induced transmembrane potential also concentrates around the poles of the cell membrane (the nearest points of the cell membrane to the electrodes). During cell membrane permeabilization, the biggest nanopores are initially created at the poles and then the nanopore population expands toward the equator. The number of the created nanopores reaches its maximal value within a few microseconds; further presence of the electric pulse may not influence the number and location of the created nanopores anymore but will develop the generated nanopores. Strengthening the electric pulse intensifies the size and number of the created nanopores as well as the electroporated area on the cell membrane.     

Direct observation in the millisecond time range of fluorescent molecule asymmetrical interaction with the electropermeabilized cell membrane.

Interaction of two stains (propidium iodide and ethidium bromide) with electropermeabilized living Chinese hamster ovary cells is observed using an ultrafast fluorescence image acquisition system. The computing process is linked to an ultra-low-light intensifying camera working with a very short time resolution (3.33 ms per image). Altered parts of the cell membrane were identified via the enhancement in fluorescence intensity of the dyes. They reflect the electropermeabilized part of the membrane in which free flow of dye occurred. Images of the fluorescence interaction patterns of the two dyes, in a maximum 20-ms time lag after pulsation, reveal asymmetrical permeabilization of the cell membrane. For electric field intensities higher than a first threshold value, permeabilization is always observed on the anode-facing side of the cell. For electric field intensities over a second higher threshold value, the two electrode-facing hemispheres of the cell are permeabilized, the hemisphere facing the anode being most permeable. These data support the conclusion that electropermeabilization of living cell membrane is affected by its resting potential. The asymmetrical pattern of the dye interaction is not dependent on the nature or concentration of the dye, the ionic strength of the pulsing buffer, or the duration of the pulse. The field intensity determines the fraction of the membrane in which molecular alterations can occur. The extent of alteration in this localized region is determined by the duration of the pulse when a single pulse in the millisecond time range is applied.