Attraction, deformation and contact of membranes induced by low frequency electric fields

The force of attraction between erythrocyte ghosts induced by low frequency electric fields (60 Hz) was measured as a function of the intermembrane separation. It varied from 10(-14) N for separation of the order of the cell diameter to 10(-12) N for close approach and contact in 20 mM sodium phosphate buffers (conductivity 260 mS/m, pH 8.5). For large separations the interaction force followed a dependence on separation as predicted for dipole-dipole interactions. For small separation an empirical formula was obtained. The membranes deformed at close approach (less than 1 microns) before making contact. The contact area increased with time until reaching the final equilibrium state. The ghosts separated reversibly after switching off the electric field. The membrane tension induced by the ghost interaction at contact was estimated to be of the order of 0.1 mN/m. These first quantitative measurements of the force/separation dependence for intermembrane interactions induced by low frequency electric fields indicate that attractive forces, membrane deformation and contact area of cells depend strongly on intermembrane separation and field strength. The quantitative relationship between them are important for measuring membrane surface and mechanical properties, intermembrane forces and understanding mechanisms of membrane adhesion, instability and fusion in electric fields and in general.     

Investigation of hydrodynamic focusing in a microfluidic coulter counter device

The Coulter technique enables rapid analysis of particles or cells suspended in a fluid stream. In this technique, the cells are suspended in an electrically conductive solution, which is hydrodynamically focused by nonconducting sheath flows. The cells produce a characteristic voltage signal when they interrupt an electrical path. The population and size of the cells can be obtained through analyzing the voltage signal. In a microfluidic Coulter counter device, the hydrodynamic focusing technique is used to position the conducting sample stream and the cells and also to separate close cells to generate distinct signals for each cell and avoid signal jam. The performance of hydrodynamic focusing depends on the relative flow ratio between the sample stream and sheath stream. We use a numerical approach to study the hydrodynamic focusing in a microfluidic Coulter counter device. In this approach, the flow field is described by solving the incompressible Navier-Stokes equations. The sample stream concentration is modeled by an advection-diffusion equation. The motion of the cells is governed by the Newton-Euler equations of motion. Particle motion through the flow field is handled using an overlapping grid technique. A numerical model for studying a microfluidic Coulter counter has been validated. Using the model, the impact of relative flow rate on the performance of hydrodynamic focusing was studied. Our numerical results show that the position of the sample stream can be controlled by adjusting the relative flow rate. Our simulations also show that particles can be focused into the stream and initially close particles can be separated by the hydrodynamic focusing. From our study, we conclude that hydrodynamic focusing provides an effective way to control the position of the sample stream and cells and it also can be used to separate cells to avoid signal jam.     

Human erythrocyte electrofusion kinetics monitored by aqueous contents mixing.

The kinetics of electrically induced fusion of human erythrocyte ghosts were monitored by the Tb/DPA and ANTS/DPX fluorescence fusion assays. Ghosts were aligned by dielectrophoresis using a 3-MHz 350-V/cm alternating field and were fused by single 15- or 50-microseconds electric field pulses of amplitude 2.5-5.0 kV/cm. Fusion was detected immediately after the pulse. The peak fluorescence change due to fusion was always obtained within 7 s of pulse application, and was highest for a 5.0 kV/cm 15-microseconds pulse. Probe leakage was measured separately and became apparent only 2-3 s after the initiation of fusion. Increasing pulse amplitudes produced higher fusion yields but produced more leakage from the fusion products. 50-microseconds pulses produced less fusion, resulting from a disruption of the dielectrophoretic alignment by fluid turbulence immediately after pulse application. Probe leakage was observed only when pulse application was preceded by dielectrophoresis, suggesting that close membrane positioning allows for additional membrane destabilization caused by the high field pulse. The fluorescence kinetics are interpreted using a simplified model depicting three major types of events: (a) fusion without observable leakage, (b) fusion followed by probe leakage, and (c) contact-related leakage from ghosts which do not undergo contents mixing.     

Fusion of Avena sativa mesophyll cell protoplasts by electrical breakdown

Studies with the light microscope were carried out on mesophyll cell protoplasts of Avena sativa which had been made to undergo fusion by reversible electrical breakdown of the cell membrane. In order to establish close membrane contact between the cells, an important prerequisite for fusion, a method known as dielectrophoresis was used. In an inhomogeneous alternating electrical field the protoplasts adhere to the electrodes and to each other in the direction of the field lines. The cells which were thus brought into close contact with each other could be made to fuse by the application of a field pulse of high amplitude (about 750 V/cm) and short duration (20–50 μs). The field strength required for fusion exceeds the value necessary for the electrical breakdown of the cell membrane. Fusion took place within some minutes and led to a high yield of fused protoplasts. The fusion of cells being in the electric field occured in a synchronous manner. In some of the fusion experiments part of the protoplasts of A. sativa were stained with neutral red. When these cells were fused with unstained protoplasts, the vacuoles from the different cells within the fused aggregate could be shown to remain separate for quite some time.     

Electric fields and surface charges induced by ELF magnetic fields

A method is described for evaluating electric fields induced by ELF magnetic fields into electrically inhomogeneous, low-conductivity (less than 5 S/m) structures. It is applied to cylinders and spheres, and numerical results are given for electrical properties that are representative of some tissues, or of cells embedded either in saline solution or a tissue matrix. Surface currents on spherical cell boundaries are estimated and compared with thermal noise due to ion motion.     

Separation and characterization of red blood cells with different membrane deformability using steric field-flow fractionation

Human red blood cells were treated in different ways to alter their membrane deformability, and the hydrodynamic behavior of these altered cells was studied using the steric field-flow fractionation (FFF) technique. The relationships between cell retention in the FFF channel, flow-rate of the carrier fluid and the applied field strength were studied for normal and glutaraldehyde-fixed human red cells, and separation conditions were optimized. The effect of flow-induced hydrodynamic lift forces on red cell retention in the steric FFF channel was studied, and the results suggest that the membrane deformability of the red cell is an important factor contributing to the lift force, besides other previously described effects due to density and flow velocity. Using steric FFF, a mixture of normal and glutaraldehyde-fixed human red cells was completely separated with a resolution twice that found in published d ata from gel permeation, another hydrodynamic separation technique. Partial loss of membrane deformability, induced by different degrees of glutaraldehyde-fixation, by diamide, or by a thermal treatment, has also been studied. Steric FFF is thus shown to have potential for rapid separation and differentiation of red cells with different density and membrane deformability, conditions known to be associated with, e.g., cell senescence and certain hematological diseases.     

Electrically Stimulated Fusion of Different Plant Cell Protoplasts : MESOPHYLL CELL AND GUARD CELL PROTOPLASTS OF VICIA FABA

Cell fusion is induced between guard cell and mesophyll cell protoplasts of Vicia faba by electrical field application. The process of fusion is initiated by electrical breakdown of the cell membrane. Prior to the application of an external electrical field pulse which brings about reversible breakdown of the membrane, the cells (suspended in a low-conducting medium) are brought into close contact with one another by exposing them to an external alternating, nonuniform field (5 volts, electrode distance, 200 micrometers; 500 kiloHertz). During this process, they form “pearl chains” which may become sufficiently long to form bridges between the electrodes. The process is reversible as long as this voltage is not exceeded. Cell fusion is initiated as a result of an electrical field pulse of 50 microseconds duration and of sufficiently high intensity to induce reversible electrical breakdown of the membranes. The process of fusion is completed within 40 minutes or less in the case of guard cell protoplasts, as well as in the case of fusion between guard cell and mesophyll cell protoplasts. The fused cells are spherical in shape, if the fusion product consists only of two or three cells.     

Dielectric breakdown measurements of human and bovine erythrocyte membranes using benzyl alcohol as a probe molecule

Dielectric breakdown of intact erythrocytes and subsequent haemolysis in the presence of increasing concentrations of benzyl alcohol were investigated by means of an electrolytical discharge chamber and a hydrodynamic focusing Coulter Counter.Low concentrations of the drug stabilized human and bovine erythrocytes against haemolysis induced by dielectric breakdown of the cell membrane in isotonic solutions, while high concentrations caused lysis similar to hypotonic and mechanical haemolysis. The stabilizing effect of the drug on electrically induced haemolysis depends on the pulse length of the applied electric field. The critical dielectric breakdown voltage of the membranes of intact cells decreases progressively with increasing benzyl alcohol concentrations, at which the membrane is also more stabilized against electrical and osmotic haemolysis. Occasionally, an increase in the dielectric breakdown voltage is observed at drug concentrations at which lysis occurs. A similar dependence of the breakdown voltage on drug concentration was found for human erythrocyte ghost cells prepared by dielectric breakdown.The results are consistent with the electromechanical model suggested for the dielectric breakdown mechanism and with the assumption of Metcalfe, using NMR and ESR techniques, that the fluidity of the membrane increases with increasing benzyl alcohol concentration.     

Kinetics and mechanism of cell membrane electrofusion.

A new quantitative approach to study cell membrane electrofusion has been developed. Erythrocyte ghosts were brought into close contact using dielectrophoresis and then treated with one square or even exponentially decaying fusogenic pulse. Individual fusion events were followed by lateral diffusion of the fluorescent lipid analogue 1,1'-dihexadecyl-3,3,3',3'-tetramethylindocarbocyanine perchlorate (Dil) from originally labeled to unlabeled adjacent ghosts. It was found that ghost fusion can be described as a first-order rate process with corresponding rate constants; a true fusion rate constant, k(f), for the square waveform pulse and an effective fusion rate constant, k(ef), for the exponential pulse. Compared with the fusion yield, the fusion rate constants are more fundamental characteristics of the fusion process and have implications for its mechanisms. Values of k(f) for rabbit and human erythrocyte ghosts were obtained at different electric field strength and temperatures. Arrhenius k(f) plots revealed that the activation energy of ghost electrofusion is in the range of 6-10 kT. Measurements were also made with the rabbit erythrocyte ghosts exposed to 42 degrees C for 10 min (to disrupt the spectrin network) or 0.1-1.0 mM uranyl acetate (to stabilize the bilayer lipid matrix of membranes). A correlation between the dependence of the fusion and previously published pore-formation rate constants for all experimental conditions suggests that the cell membrane electrofusion process involve pores formed during reversible electrical breakdown. A statistical analysis of fusion products (a) further supports the idea that electrofusion is a stochastic process and (b) shows that the probability of ghost electrofusion is independent of the presence of Dil as a label as well as the number of fused ghosts.     

High frequency fusion of plant protoplasts by electric fields

Mesophyll cell protoplasts of Vicia faba were collected by dielectrophoresis in a highly inhomogeneous alternating electric field (sine wave, 5 to 10 V peak-to-peak value, 500 kHz, electrode distance 200 m). Under these conditions, the cells formed aggregates of two or three on the electrodes or bridges consisting of 4 to 6 protoplasts between the electrodes. This pearl chain arrangement of the cells was only stable for the duration of the applied field. By the additional application of a high single field pulse (square wave, 15 V, 50 s), it was possible to induce cell fusion within the aggregates or bridges. This electrically stimulated fusion of cells proceeded at room temperature and under physiological pH-conditions, without the use of chemical reagents, and gave a high yield. Smaller fused aggregates formed spheres within a few minutes. During the dielectrophoretically induced adhesion of the protoplasts to one another, the field strength must be chosen such that dielectric breakdown of the membrane is avoided, but at the same time, the strength of the subsequently applied single field pulse must be high enough to induce dielectric breakdown at the sites of contact between the protoplast membranes. From these results, one can conclude that in addition to close contact between membranes, the prerequisite for electrically stimulated cell fusion is dielectric breakdown which leads to changes in the membrane conductance, permeability, and probably fluidity.Presented at II Congress FESPP, Santiago de Compostela, Spain, 27.7.–1.8.1980, and Gordon Research Conference of Bioelectrochemistry, Tilton, New Hampshire, USA, 4.8.–8.8.1980     

Rotation of cells in an alternating electric field theory and experimental proof

Summary Protoplasts ofAvena sativa rotate in an alternating electric field provided that at least two cells are located close to each other. An optimum frequency range (20 to 30 kHz) exists where rotation of all cells exposed to the field is observed. Below and above this frequency range, rotation of some cells is only occasionally observed. The angular velocity of rotation depends on the square of the electric field strength. At field strengths above the value leading to electrical breakdown of the cell membrane, rotation is no longer observed due to deterioration of the cells. The absolute value of the angular velocity of rotation at a given field strength depends on the arrangement of the cells in the electric field. A maximum value is obtained if the angle between the field direction and the line connecting the two cells is 45^o. With increasing distance between the two cells the rotation speed decreases. Furthermore, if two cells of different radii are positioned close to each other the cell with the smaller radius will rotate with a higher speed than the larger one. Rotation of cells in an alternating electric field is described theoretically by interaction between induced dipoles is adjacent cells. The optimum frequency range for rotation is related to the relaxation of the polarization process in the cell. The quadratic dependence of the angular velocity of rotation on the field strength results from the fact that the torque is the product of the external field and the induced dipole moment which is itself proportional to the external field. The theoretical and experimental results may be relevant for cyclosis (rotational streaming of cytoplasm) in living cells.     

Osmotic forces in artificially induced cell fusion

The importance of cell swelling in the fusion of erythrocytes by three different chemical treatments has been investigated with cells that were cytoplasmically labelled with 6-carboxyfluorescein. Hen erythrocytes, which had been pre-incubated with ionophore A23187 and 5 mM Ca2+ to cause a proteolytic breakdown of the membrane skeleton, were induced to fuse by applying an osmotic shock. Human erythrocytes that had been incubated in an isotonic salt/buffer solution, which was progressively diluted and which contained 0.5 mM La3+ to minimise cell lysis, were also fused. In addition, the fusion of human erythrocytes by 40% poly(ethylene glycol) began only when the poly(ethylene glycol) was diluted, and it mostly occurred when the diluted polymer solution was subsequently replaced by isotonic buffer. In related experiments, the effect of an osmotic gradient on electrically induced cell fusion has been studied. Human erythrocytes in 150 mM erythritol fused more readily than less swollen cells in 200-400 mM erythritol when subjected to a 20 microseconds pulse of 3.5 kV X cm-1, indicating that the extent of cell fusion induced by the breakdown pulse is governed by the combined electrical-compressive and osmotic forces. Since osmotic phenomena are already known to be important in exocytosis, we suggest that these observations on cell fusion indicate that osmotic forces may provide the driving force for many membrane fusion reactions in biological systems.     

The influenza virus-induced fusion of erythrocyte ghosts does not depend on osmotic forces

The role of osmotic forces and cell swelling in the influenza virus-induced fusion of unsealed or resealed ghosts of human erythrocytes was investigated under isotonic and hypotonic conditions using a recently developed fluorescence assay (Hoekstra, D., De Boer, T., Klappe, K., Wilschut, J. (1984) Biochemistry 23, 5675-5681). The method is based on the relief of fluorescence selfquenching of the fluorescent amphiphile octadecyl rhodamine B chloride (R18) incorporated into the ghost membrane as occurs when labeled membranes fuse with unlabeled membranes. No effect neither of the external osmotic pressure nor of cell swelling on virally mediated ghost fusion was established. Influenza virus fused unsealed ghosts as effectively as resealed ghosts. It is concluded that neither osmotic forces nor osmotic swelling of cells is necessary for virus-induced cell fusion. This is supported by microscopic observations of virus-induced fusion of intact erythrocytes in hypotonic and hypertonic media. A disruption of the spectrin-actin network did not cause an enhanced cell fusion at acidic pH of about 5 or any fusion at pH 7.4.     

Hydrodynamic interaction between two copepods: a numerical study

Numerical simulations were carried out to compute the flow fieldaround two tethered, stationary or swimming model-copepods withvaried separation distances between them and for different relativebody positions and orientations. Based on each simulated flowfield, the power expended by each copepod in generating theflow field and volumetric flux through the capture area of eachcopepod were calculated. The geometry of the flow field aroundeach copepod was visualized by tracking fluid particles to constructstream tubes. The hydrodynamic force on each copepod was calculated.Also, velocity magnitudes and deformation rates were calculatedalong a line just above the antennules of each copepod. Allthe results were compared to the counterpart results for a solitarycopepod (stationary or swimming) to evaluate the hydrodynamicinteraction between the two copepods. The calculations of thepower and volumetric flux show that no energetic benefits areavailable for two copepods in close proximity. The results ofthe stream tube and force calculations show that when two copepodsare in close proximity, the hydrodynamic interaction betweenthem distorts the geometry of the flow field around each copepodand changes the hydrodynamic force on each copepod. Two beneficialroles of the hydrodynamic interactions are suggested for copepodswarms: (1) to maintain the integrity of the swarms and (2)to separate the swarming members with large nearest neighbourdistances (usually more than five body lengths). To preventstrong hydrodynamic interactions, copepods in swarms have toavoid positions of strong interactions, such as those directlyabove or below their neighbours. The results of the velocitymagnitudes and deformation rates demonstrate that the hydrodynamicinteraction between two copepods generates the hydrodynamicsignals detectable by the setae on each copepod's antennules.Based on the threshold of Yen et al. (1992), the results showthat the detection distance between two copepods of comparablesize is about two to five body lengths. Copepods may employa simple form of pattern recognition to detect the distance,speed and direction of an approaching copepod of comparablesize.     

Electric field-mediated cell fusion

The use of electrical fields to guide, hold and fuse cells is described. The electrical fusion process consists of two steps: the cells are collected to form pearl-chains between Pt electrodes by the action of dielectrophoresis, then a brief DC pulse is applied, such that the breakdown voltage of the membranes is briefly exceeded and cell-to-cell juncture of the membranes occurs around the pore formed by the pulse. Giant fused cells (diameter up to 100 m) can be formed by the electrically mediated fusion of mouse 3T3 fibroblast cells, provided that pronase is added just before field application.     

Enzyme loading of electrically homogeneous human red blood cell ghosts prepared by dielelctric breakdown.

Human red blood cell ghosts were prepared by electrical haemolysis at 0 degrees C in isotonic solutions using a discharge chamber which was part of a high voltage circuit. The size distribution of the ghosts was normally distributed, the modal (=mean) volume was approx. 115 mum3, performing the electrical haemolysis in the following solution: 105 mM KCI, 20 mM NaCL, 4mM MgCl2, 7.6 mM Na2HPO4, 2.94 mM NaH2PO4, 10 mM glucose, pH 7.2. Resealing was carried out at o degrees C for 10 min (after the haemolytic step) and then for further 20 min at 37 degrees C. The mean volume of the ghost preparation could be changed by variation of the phosphate concentration in the above solution replacing a part of NaCl by phosphate (5 mM phosphate: 94 mum3, 15 mM phosphate: 135 mum3). The breakdown voltage of the ghost cell membranes measured with a hydrodynamic focusing Coulter Counter depends on the mean volume (94 mum3 = 1.04 V, 134 mum3 = 1.36 V). On the other hand, the breakdown voltage is constant throughout each size distribution pointing to an "electrically homogeneous" ghost preparation. The sensitiviity of the Coulter Counter to detect electrical inhomogeneities in the membranes of a ghost population is demonstrated by dielectric breakdown measurements of an apparently normally distributed ghost preparation containing two different "electrically homogeneous" ghost population i.e. with two different breakdown voltages. The ghost cells obtained by electrical haemolysis in the above solution containing 10mM phosphate were fairly impermeable to sucrose and behave like an ideal osometer. It is further demonstrated that ghost cells can be loaded with enzymes (e.g. urease) and drugs using this technique and that these loaded ghost cells can be used as bioactive capsules for clinical application.     

Effect of Bay K 8644 on tetraethylammonium-induced excitability of the rabbit pulmonary artery

The effect of Bay K 8644 on the electrical activity of the smooth muscle cells in the main pulmonary artery of the rabbit was examined. In normal physiological solution, the resting membrane potential was -56 +/- 0.6 mV, and the cells were electrically quiescent. Tetraethylammonium (5 mM) depolarized the membrane to about -45 mV, and electrical stimulation elicited action potentials. To suppress contractile responses and thereby facilitate sustained impalements, the muscle strips were bathed with a hypertonic solution containing sucrose. The mean amplitude of the tetraethylammonium-induced action potentials in the hypertonic solution was 35 +/- 0.9 mV. The action potentials were dependent upon the extracellular Ca2+ concentration and were abolished by diltiazem (10(-6) M). Spontaneous action potentials were occasionally generated in the presence of tetraethylammonium alone and could be induced by the further addition of Ba2+ (0.5 mM). The Ca2+ agonist Bay K 8644 (10(-8) to 10(-6) M) had no effect on the resting membrane potential or excitability in normal solution. However, in the hypertonic solution containing tetraethylammonium, Bay K 8644 caused a further depolarization and oscillatory potential changes, which were not prevented by tetrodotoxin. The oscillations were suppressed or abolished by diltiazem or nilvadipine. Thus, active responses can occur in the normally quiescent smooth muscle cells of the rabbit pulmonary artery when the outward K+ current(s) are suppressed.     

Interaction forces between red cells agglutinated by antibody. I. Theoretical.

A general method of calculating forces, torques, and translational and rotational velocities of rigid, neutrally buoyant spheres suspended in viscous liquids undergoing a uniform shear flow has been given by Arp and Mason (1977). The method is based on the matrix formulation of hydrodynamic resistances in creeping flow by Brenner and O'Neill (1972). We describe the solution of the Brenner-O'Neill force-torque vector equation in terms of the particle and external flow field coordinates and derive expressions for the normal force acting along, and the shear force acting perpendicular to, the axis of the doublet of spheres, the latter explicitly given for the first time. The equations consist of a term comprising force and torque coefficients obtained from the matrices of the hydrodynamic resistances (functions of the distance h between sphere surfaces which have been computed), and terms comprising the orientation of the doublet axis relative to the coordinates of the external flow field and the shear stress (which can be experimentally determined). We have applied the theory to a system of doublets of sphered, hardened human red cells of group A or B antigenic type cross-linked by the corresponding antibody at a fixed interparticle distance. Working from studies of the breakup of doublets of red cells in an accelerating Poiseuille flow, given in the succeeding paper, we are able to compute the hydrodynamic force required to separate the two spheres. Previous work has shown that the theory can be applied to doublets in a variable shear, Poiseuille flow, provided the ratio of particle to tube diameter is small. In calculating the force-torque coefficients it was assumed that the cells are crosslinked by antibody with h = 20 nm.     

How noise and coupling induce bursting action potentials in pancreatic {beta}-cells

Unlike isolated beta-cells, which usually produce continuous spikes or fast and irregular bursts, electrically coupled beta-cells are apt to exhibit robust bursting action potentials. We consider the noise induced by thermal fluctuations as well as that by channel-gating stochasticity and examine its effects on the action potential behavior of the beta-cell model. It is observed numerically that such noise in general helps single cells to produce a variety of electrical activities. In addition, we also probe coupling via gap junctions between neighboring cells, with heterogeneity induced by noise, to find that it enhances regular bursts.