Theory of the effect of externally applied voltage on membrane oxidation kinetics

Lund recently demonstrated that application of an external electrical potential across a membrane changes the rate of enzymatic oxidation in the membrane. This is a qualitative confirmation of a prediction derived from the hypothesis that membrane potentials are due to redox potentials, with electron conduction across the membrane through its solid matrix. In the present paper, equations relating membrane oxidation rates to applied external potential are derived from the above hypothesis so that this hypothesis may be testedquantitatively by experiments of the type performed by Lund.     

Optical imaging of cell membrane potential changes induced by applied electric fields.

We report the first imaging of the spatial distributions of transmembrane potential changes induced in nonexcitable cells by applied external electric fields. These changes are indicated by the fluorescence intensity of a charge-shift potentiometric dye incorporated in the cell plasma membrane and measured by digital intensified video microscopy.     

Electromobile surface charge alters membrane potential changes induced by applied electric fields.

The relation between extracellular electric fields and changes in membrane potential that such fields directly induce has previously been described both theoretically and experimentally. It is clearly established that extracellular electric-field-induced membrane potential changes are well described by Poisson's equation of electrostatics. A modification of this simple theory to include effects of the electric-field-induced redistribution of charged cell surface components is introduced and is shown to produce major alterations in calculated membrane potential changes over times of the order of minutes to hours. Implications for biological systems which respond to extracellular electric fields are discussed.     

Cellular membrane potentials induced by alternating fields

Membrane potentials induced by external alternating fields are usually derived assuming that the membrane is insulating, that the cell has no surface conductance, and that the potentials are everywhere solutions of the Laplace equation. This traditional approach is reexamined taking into account membrane conductance, surface admittance, and space charge effects. We find that whenever the conductivity of the medium outside the cell is low, large corrections are needed. Thus, in most of the cases where cells are manipulated by external fields (pore formation, cell fusion, cell rotation, dielectrophoresis) the field applied to the cell membrane is significantly reduced, sometimes practically abolished. This could have a strong bearing on present theories of pore formation, and of the influence of weak electric fields on membranes.     

Electrophoretic repatterning of charged cytoplasmic molecules within tissues coupled by gap junctions by externally applied electric fields

Ionic currents and cytoplasmic voltage gradients have been observed in a variety of polarizing cells and developing tissues. In certain cases, it has been determined that these endogenous electric fields can segregate intracellular charged molecules by electrophoresis; in other cases, the endogenous fields are suspected to have such an influence. Separate theoretical suggestions have been made that extracellular electric currents, whether from a biological or a nonbiological source, should be able to electrophorese intracellular molecules after being conducted through cell membranes into the interior of long single cells [L.F. Jaffe and R. Nuccitelli (1977) Annu. Rev. Biophys. Bioeng. 6, 445-476] or extended ensembles of cells coupled electrotonically by gap junctions [M.S. Cooper (1984) J. Theor. Biol. 111, 123-130]. To test whether external electric fields could redistribute intracellular molecules within a tissue coupled by gap junctions, and to quantitatively measure in situ the electrophoretic mobility of a charged intracellular molecule, we injected 6-carboxyfluorescein into the electrotonically coupled lateral giant neurons of the crayfish abdominal nerve cord. When a dc electric field (0.2-3.4 V/cm) was subsequently applied along the length of the cord, the negatively charged fluorescent dye was observed to migrate through both the cytoplasms and the gap junctions of the lateral giant neurons, toward the anode, at a rate directly proportional to the applied electric field strength (electrophoretic mobility = -0.92 +/- 0.27 micron/sec per V/cm). These results suggest that electric fields of a sufficient magnitude, whether of an exogenous or an endogenous origin, can repattern the distribution of charged molecules within the cytoplasm of an extended ensemble of coupled cells. In addition, these results suggest that externally applied electric fields might be used in studies of pattern formation to repattern the intercellular distribution of charged molecules that are permeant to gap junctions within electrically coupled tissues.     

Study of conductance changes of bilayer lipid membrane induced by electric field

Changes in the bilayer lipid membrane (BLM) conductance induced by electric field were studied. BLMs were formed from diphytanoylphosphocholine (DPhPC) solution in squalene. Certain time after a constant voltage (200-500 mV) was applied to the BLM in the voltage-clamp mode, the BLM conductance started to grow up to approximately 10 nS until the BLM ruptured. The conductance often changed abruptly (with the front duration of less than 33 micros) and then stabilized for a relatively long time (up to 10; 300 ms on average) thus resembling the ion channel activity. The mean amplitude of conductance steps was 650 pS. However, in some cases a slow conductance drift was recorded. When N-methyl-D-glucamine/glutamate ions were used instead of KCl, the conductance changes became 5 times smaller. We suggest that formation in the BLM of single pores approximately 1 nm in diameter should result in the observed changes in BLM conductance. The BLM conductance growth was due to consecutive opening of several such pores. When the electric field amplitude was abruptly decreased (down to 50-100 mV), the conductance dropped rapidly to the background value. When we increased the voltage again, the BLM conductance right after the increase depended on the time BLM spent under "weak" electric field. If this time exceeded 500 ms, the conductance was at the background level, but when the time was diminished, the conductance reached the value recorded before the voltage decrease. These data imply that the closure of the pores should lead to the formation in BLM of small defects (prepores) that can be easily transformed into pores when the voltage is increased. The lifetimes of such prepores did not exceed 500 ms.     

The effect of externally applied electrostatic fields,microwave radiation and electric currents on plants and other organisms,with special reference to weed control

A wide-ranging review is presented of the effects of various forms of externally applied electrical energy upon plants and other organisms. Although investigations involving both small and large amounts of energy directed at the targets are considered, a particular emphasis of this review is the feasibility of each type of electrical stimulation for weed control. Electrostatic fields ranging from 100 V m^?1 to 800 kV m^?1 have been applied to plants under laboratory conditions and in field trials since the 1880’s. Some beneficial effects have been reported (e.g. increase in yield from both cereal and vegetable crops), but the results have been erratic and the electrical conditions leading to definite benefits on a large scale could not be confidently predicted from early studies. High electric fields are reported to damage plants if currents greater than 10^?6 A are induced to flow through leaves causing corona discharges from the tips. The nature of the damage and the effects on metabolic processes are discussed. The results from experiments on the growth of plants in which the density and charge of air ions have been varied are also reviewed. The effects of microwave radiation (mostly 2450 MHz) upon seeds, plants and other organisms in soil are discussed. These effects depend upon the power density of the radiation and the electrical properties of the targets. Factors such as size of seeds and plants, shape and moisture content are important, as are the properties of the soil irradiated (notably water content). Although microwaves can be effective in killing plants and also seeds that are buried several centimeters deep in soil, high power equipment is required and treatment times are long e.g. a 60 kW machine could take up to 92.6 hours per hectare. Other experiments reported show that microwave radiation can kill nematodes in the soil and that it is also very effective in killing fungi and bacteria. The potential of the various possible uses of microwave radiation in agriculture is also described. Electric currents have been caused to flow through plants by the application of electrodes to the leaves. The effects range from nil, when 50–100 V and 1 or 2 μA are used, to very striking when voltages from 5 to 15 kV are applied causing currents of several amperes to flow and resulting in the rapid destruction of the target. Small electric currents passed through soil containing plants are reported to increase their growth. The effects of small current on the growth of individual leaves are reviewed. The use of high voltage tractor-borne equipment for weed control is also considered.     

Transmembrane calcium influx induced by ac electric fields.

Exogenous electric fields induce cellular responses including redistribution of integral membrane proteins, reorganization of microfilament structures, and changes in intracellular calcium ion concentration ([Ca2+]i). Although increases in [Ca2+]i caused by application of direct current electric fields have been documented, quantitative measurements of the effects of alternating current (ac) electric fields on [Ca2+]i are lacking and the Ca2+ pathways that mediate such effects remain to be identified. Using epifluorescence microscopy, we have examined in a model cell type the [Ca2+]i response to ac electric fields. Application of a 1 or 10 Hz electric field to human hepatoma (Hep3B) cells induces a fourfold increase in [Ca2+]i (from 50 nM to 200 nM) within 30 min of continuous field exposure. Depletion of Ca2+ in the extracellular medium prevents the electric field-induced increase in [Ca2+]i, suggesting that Ca2+ influx across the plasma membrane is responsible for the [Ca2+]i increase. Incubation of cells with the phospholipase C inhibitor U73122 does not inhibit ac electric field-induced increases in [Ca2+]i, suggesting that receptor-regulated release of intracellular Ca2+ is not important for this effect. Treatment of cells with either the stretch-activated cation channel inhibitor GdCl3 or the nonspecific calcium channel blocker CoCl2 partially inhibits the [Ca2+]i increase induced by ac electric fields, and concomitant treatment with both GdCl3 and CoCl2 completely inhibits the field-induced [Ca2+]i increase. Since neither Gd3+ nor Co2+ is efficiently transported across the plasma membrane, these data suggest that the increase in [Ca2+]i induced by ac electric fields depends entirely on Ca2+ influx from the extracellular medium.     

A model for the polarization of neurons by extrinsically applied electric fields.

A model is presented for the subthreshold polarization of a neuron by an applied electric field. It gives insight into how morphological features of a neuron affect its polarizability. The neuronal model consists of one or more extensively branched dendritic trees, a lumped somatic impedance, and a myelinated axon with nodes of Ranvier. The dendritic trees branch according to the 3/2-power rule of Rall, so that each tree has an equivalent cylinder representation. Equations for the membrane potential at the soma and at the nodes of Ranvier, given an arbitrary specified external potential, are derived. The solutions determine the contributions made by the dendritic tree and the axon to the net polarization at the soma. In the case of a spatially constant electric field, both the magnitude and sign of the polarization depend on simple combinations of parameters describing the neuron. One important combination is given by the ratio of internal resistances for longitudinal current spread along the dendritic tree trunk and along the axon. A second is given by the ratio between the DC space constant for the dendritic tree trunk and the distance between nodes of Ranvier in the axon. A third is given by the product of the electric field and the space constant for the trunk of the dendritic tree. When a neuron with a straight axon is subjected to a constant field, the membrane potential decays exponentially with distance from the soma. Thus, the soma seems to be a likely site for action potential initiation when the field is strong enough to elicit suprathreshold polarization. In a simple example, the way in which orientation of the various parts of the neuron affects its polarization is examined. When an axon with a bend is subjected to a spatially constant field, polarization is focused at the bend, and this is another likely site for action potential initiation.     

Millisecond kinetics of ATP synthesis driven by externally imposed electrochemical potentials in chloroplasts

We have used rapid mixing and quenching techniques to measure the initial ATP synthesis rates and the duration of the ATP synthetic capacity derived from artificially imposed proton gradients and valinomycin-mediated K+ diffusion potentials in chloroplasts. The initial rate of ATP synthesis driven by a K+ diffusion potential was 10-fold slower than that driven by an acid-base transition of equivalent electrochemical potential. Total yields of ATP resulting from a K+ concentration shift were only slightly affected by the absence of Cl-, indicating that Cl- permeability does not significantly reduce the K+ diffusion potential. The ATP synthetic capacity decayed with a half-life of 0.2 s in the case of a K+ diffusion potential and a half-life of 1.0 s in the case of an acid-base shift. In both cases, ATP, added at the time of the pH or [KCl] shift, slowed the decay of the ATP synthesis rates, indicating that the coupling factor controls a channel for proton efflux, as proposed earlier (Portis, A.R., and McCarty, R.E. (1974) J. Biol. Chem. 249, 6250-6254). Because the proton gradient has a longer half-life than the K+ diffusion potential, when combinations of the two are employed to drive ATP synthesis, the proton gradient will make a larger contribution to the initial rate and total yield than that predicted from a strictly linear proportionality of the initial magnitudes of the two gradients.     

Late pain-related magnetic fields and electric potentials evoked by intracutaneous electric finger stimulation

Surface magnetic and electric recordings were used to localize the sources of late pain-related magnetic fields and electric potentials, evoked by painful intracutaneous electric finger stimulation. We find that the source of the P90m component of the evoked magnetic field lies in the finger area of the primary somatosensory cortex; the sources of the N150m and P250m are found to reside in the frontal operculum. These findings are unexpected from the evoked electric potential data, which suggest a central location for these sources. We also note that the interpretation of the electric data was confounded by the presence of an alpha-like oscillation, which overlapped many components of the evoked potential.     

Effects of pH on cell fusion induced by electric fields

Electrofusion has recently become an important area of cell biology research. We studied the effects of pH of the cell medium on the electrofusion of human red blood cells. Cell fusion was monitored by observing the movement of a lipophylic dye between neighboring fused cells using a fluorescence microscope. The cells were first brought into close contact by dielectrophoresis. Fusion was then induced by three pulses of high-intensity electric field. Within minutes following the pulse application, many cells were observed to fuse together to form fusion chains of different lengths. We found that the optimal pH for cell fusion is around pH 7.5. At this pH, the fusion yield was highest (ranging from 57 to 81%) and the average number of cells within a fusion chain was also the largest. The dependence of cell fusion on pH is more sensitive at low than at high pH. The fusion yield was decreased by 40% when the pH was changed from 7.5 to 6.0, but there was only a 20% decrease in yield between pH 7.5 and 10.0. We suspect that the observed pH effects may be caused by a redistribution of fixed charges at the cell surface, or changes in amphipathicity of the surface proteins.     

Effects of pH on cell fusion induced by electric fields

Electrofusion has recently become an important area of cell biology research. We studied the effects of pH of the cell medium on the electrofusion of human red blood cells. Cell fusion was monitored by observing the movement of a lipophylic dye between neighboring fused cells using a fluorescence microscope. The cells were first brought into close contact by dielectrophoresis. Fusion was then induced by three pulses of high-intensity electric field. Within minutes following the pulse application, many cells were observed to fuse together to form fusion chains of different lengths. We found that the optimal pH for cell fusion is around pH 7.5. At this pH, the fusion yield was highest (ranging from 57 to 81%) and the average number of cells within a fusion chain was also the largest. The dependence of cell fusion on pH is more sensitive at low than at high pH. The fusion yield was decreased by 40% when the pH was changed from 7.5 to 6.0, but there was only a 20% decrease in yield between pH 7.5 and 10.0 We suspect that the observed pH effects may be caused by a redistribution of fixed charges at the cell surface, or changes in amphipathicity of the surface proteins.     

Morphological transitions of vesicles induced by alternating electric fields

When subjected to alternating electric fields in the frequency range 10²-10⁸ Hz, giant lipid vesicles attain oblate, prolate, and spherical shapes and undergo morphological transitions between these shapes as one varies the field frequency and/or the conductivities λ_in and λ_ex of the aqueous solution inside and outside the vesicles. Four different transitions are observed with characteristic frequencies that depend primarily on the conductivity ratio λ_in/λ_ex. The theoretical models that have been described in the literature are not able to describe all of these morphological transitions.     

Cation conductance and efflux induced by polyene antibiotics in the membrane of skeletal muscle fiber.

Cation conductance and efflux induced by polyene antibiotics amphotericin B (AMB), amphotericin B methyl ester (AME), nystatin, mycoheptin, and levorin on frog isolated skeletal muscle fibers and whole sartorius muscles were investigated. Conductance was measured under current-clamp conditions using a double sucrose-gap technique. Cation efflux was studied using flame emission photometry. Some new data were obtained concerning the effects of levorin and mycoheptin on biological membranes. The power dependence of polyene-induced cation transport on antibiotic concentration in muscle membrane was lower than that in bilayers. The decline in the equilibrium conductance caused by polyene removal (except for levorin) was very fast. There was reverse temperature dependence of AMB- and nystatin-induced conductances. Both induced conductance and efflux values demonstrated a correlation with the order of antifungal activities: levorin > AMB, mycoheptin > AME > nystatin, except for AME, which was more potent on yeastlike cells. These effects were interpreted in terms of possible differences in the kinetics of channel formation in biological and model membranes and in light of the role of nonconducting antibiotic forms in biological membranes.     

Inactivation of cGMP-dependent conductance of rod outer segment plasma membrane induced by cGMP.

Integral cGMP-dependent currents as well as activity of single cGMP-activated channels in plasma membrane of rod outer segment (ROS) were recorded using the patch-clamp method. The dependence of integral currents on cGMP concentration is shown to be bell-shaped. Decrease in cGMP-dependent conductance at high cGMP concentration results from a decrease in channel opening probability. Thus, cGMP in high concentrations inactivates cGMP-dependent conductance.     

Miniature-probe measurements of electric fields induced by 60 Hz magnetic fields in rats

Extremely-low-frequency (ELF) magnetic fields interact with an animal by inducing internal electric fields, which represent the internal dose from an external exposure. In this study, an electric field probe of approximately 2 mm resolution was used to measure fields induced in rat carcasses by a 60 Hz magnetic field at 1 mT. With the rat lying on its side, the probe was inserted through a small hole in the body wall, and scanned at 5 mm increments from the side with frontal and axial exposure (field horizontal) and from the front with lateral exposure (field vertical). The induced electric field declined from a maximum at the entrance to the abdomen and crossed zero to negative (180° phase shift) values within the body as expected. In general, the magnitudes of the measurements inside the abdomen were less than expected from whole-body calculations that used homogeneous-ellipsoidal models of a rat in the three orientations. The low measurements did not appear to be explained by perpendicular field components, by conductivity differences between the tissue and the probe path, or by air in the lungs. The low measurements probably result from inhomogeneities in actual rats that include conductivity differences between tissues and biological membranes. For example, an alternative model considered the abdominal cavity to be electrically isolated from the body by the diaphragm and the peritoneum and calculations from this model were in better agreement with the measurements inside the abdomen (than were the whole-body calculations). Therefore, inhomogeneities in conductivity and biomembranes such as the peritoneum should be considered in order to fully understand ELF-induced field dosimetry. © 1996 Wiley-Liss, Inc.     

Control of electric field induced cell membrane permeabilization by membrane order

Cells can be made temporarily permeable if pulsed by high-intensity short-duration electric fields. The molecular mechanisms underlying this electropermeabilization are still unknown. The kinetic events may be described by four successive steps: induction, expansion, stabilization, and resealing. On one hand, cell electropermeabilization is detected only under more stringent conditions when cells have been treated by ethanol. On the other hand, lysolecithin is observed to facilitate cell electropermeabilization. More precisely, these molecules that modify membrane order, when used in concentrations compatible with cell viability, are shown to affect only the expansion and resealing steps. Electropermeabilization is inducing a transition in the membrane organization. Membrane order is modulating the energy barrier needed to evoke this membrane transition which occurs when cells are submitted to a field larger than a characteristic threshold (expansion step). Less order would increase the magnitude of this energy barrier; more order would decrease it.     

The effect of an applied electric field on the charge recombination kinetics in reaction centers reconstituted in planar lipid bilayers.

Reaction Centers (RCs) from the photosynthetic bacterium Rhodopseudomonas sphaeroides were incorporated in planar bilayers made from monolayers derived from liposomes reconstituted with purified RCs. The photocurrents associated with the charge recombination process between the reduced primary quinone (QA-) and the oxidized bacteriochlorophyll donor (D+) were measured as a function of voltage (-150 mV less than V less than 150 mV) applied across the bilayer. When QA was the native ubiquinone (UQ) the charge recombination was voltage independent. However, when UQ was replaced by anthraquinone (AQ), the recombination time depended on the applied voltage V according to the relation tau = 8.5 X 10(-3) eV/0.175S. These results were explained by a simple model in which the charge recombination from UQ- proceeds directly to D+ while that from AQ occurs via a thermally activated intermediate state, D+I-QA, where I is the intermediate acceptor. The voltage dependence arises from an electric field induced change in the energy gap, delta G0, between the states D+I-QA and D+IQA-. This model is supported by the measured temperature dependence of the charge recombination time, which for RCs with AQ gave a value of delta G0 = 340 +/- 20 meV. In contrast, delta G0 for RCs with UQ as the primary acceptor, is sufficiently large (approximately 550 meV) so that even in the presence of the field, the direct pathway dominates. The voltage dependence shows that the electron transfer from I- to QA is electrogenic. From a quantitative analysis of the voltage dependence on the recombination rate it was concluded that the component of the distance between I and QA along the normal to the membrane is about one-seventh of the thickness of the membrane. This implies that the electron transfer from I to Q contributes at least one-seventh to the potential generated by the charge separation between D+ and QA-.