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.     

Analysis of the processes occurring in a submicrosecond discharge with a linear current density of up to 3 MA/cm through a thick-wall stainless-steel electrode

The state of conductors carrying a megampere current from the generator to the load is studied experimentally. It is found that the plasma produced from cylindrical stainless-steel tubes during the passage of a submicrosecond current pulse with a linear density of 3 MA/cm expands with a velocity of 5.5 km/s. Numerical results on the diffusion of the magnetic field induced by a current with a linear density of 1–3MA/cm into metal electrodes agree with the experimental data on the penetration time of the magnetic field. For a linear current density of 3.1 MA/cm, the experimentally determined electric field strength on the inner surface of the tube is 4 kV/cm. The calculated electric field strength on the inner surface of the tube turns out to be two times higher, which can be explained by plasma production on the outer and inner surfaces of the electrode.     

Numerical Modeling of Bi-polar (AC) Pulse Electroporation of Single Cell in Microchannel to Create Nanopores on its Membrane

AC electroporation of a single cell in a microchannel was numerically studied. A \(15\,\upmu\) m diameter cell was considered in a microchannel \(25\,\upmu\) m in height and the influences of AC electric pulse on its membrane were numerically investigated. The cell was assumed to be suspended between two electroporative electrodes embedded on the walls of a microchannel. An amplitude and a time span of applied electric pulse were chosen to be 80 kV/m and \(10\,\upmu\) s, respectively. For different frequency values (50, 100, 200, and 500 kHz), simulations were performed to show how the cell membrane was electroporated and the creation of nanopores. Obtained numerical results show that the most and the largest nanopores are created around poles of cell (nearest points of cell membrane to the electrodes). The numerical simulations also demonstrate that increased frequency will slightly decrease electroporated area of the cell membrane; additionally, growth of the created nanopores will be stabilized. It has also been proven that size and number of the created nanopores will be decreased by moving from the poles to the equator of the cell. There is almost no nanopore created in the vicinity of the equator. Frequency affects the rate of generation of nanopores. In case of AC electroporation, creation of nanopores has two phases that periodically repeat over time. In each period, the pore density sharply increases and then becomes constant. Enhancement of the frequency will result in decrease in time span of the periods. In each period, size of the created nanopores sharply increases and then slightly decreases. However, until the AC electric pulse is present, overall trends of creation and development of nanopores will be ascending. Variation of the size and number of created nanopores can be explained by considering time variation of transmembrane potential (difference of electric potential on two sides of cell membrane) which is clear in the results presented in this study.     

Effects of localised, low-voltage pulsed electric fields on the development and inhibition of Pseudomonas aeruginosa biofilms

This work describes the use of low-voltage (0.5 - 5 V) pulsed electric fields to prevent Pseudomonas aeruginosa biofilm development. Interdigitated electrodes (IDEs) with 29-mum spacing between 22-mum-wide electrodes, were used as a platform where the effect of localised, high-strength electric fields could be tested. Alternating current, square-wave pulses were applied to the IDEs in 1 sec intervals. A two-level, three-variable factorial design experiment was used to detect the effects of applied voltage, frequency, and pulse duty ratio (i.e. percentage of pulsing time over one cycle) on the inhibition of biofilm formation. The observations indicated that a pulse configuration of 1% duty ratio, 5 V, and 200 Hz frequency reduced the area of the electrodes covered by biofilm by 50%. In general, the application of low-duty ratio pulses had a positive effect on preventing biofouling. Comparatively, frequency and applied voltage were observed to have less influence on biofouling.     

Performance enhancement of polyaniline-based polymeric wire biosensor

We demonstrate here the performance enhancement of polyaniline-based biosensor using screen-printing technology and pulse mode measurement technique. Screen-printed silver electrodes were made on a nitrocellulose membrane and the distance between the two electrodes was approximately 550 microm. Resistance of the electrodes had an average of 1.4 Omega with a standard deviation of +/-0.4 Omega. The surface of nitrocellulose membrane was modified by glutaraldehyde to immobilize streptavidin. Biotinylated anti-mouse IgG was conjugated with polyaniline-coated magnetic nanoparticles. Formation of polyaniline-coated magnetic nanoparticles was confirmed by a transmission electron microscope image. The polyaniline was used as an electric signal transducer for the monitoring of the biospecific binding event. An electrical response induced by the streptavidin-biotin interaction was measured by pulse mode measurement. This measurement method reduced the resistance caused by interfacial capacitance. Dose-dependent resistance changes were also successfully analyzed by the pulse mode polymeric wire biosensor. Results showed that the pulse mode measurement technique enhanced the performance of the polyaniline-based polymeric wire biosensor by reducing the interfacial effects. This approach could be helpful in samples with high interfering background materials, such as food and clinical specimens.     

Simulations of the Evolution of the Heterophase Electrode of a Vacuum Transmission Line During the Passage of a High Current Pulse

Plasma Physics Reports - In electromagnetic generators of the terawatt range with current pulse of 1–30 MA, electric explosion of the surface of current-carrying electrodes takes place. One...     

3D Stationary electric current density in a spherical tumor treated with low direct current: an analytical solution

Electrotherapy with direct current delivered through implanted electrodes is used for local control of solid tumors in both preclinical and clinical studies. The aim of this research is to develop a solution method for obtaining a three-dimensional analytical expression for potential and electric current density as functions of direct electric current intensity, differences in conductivities between the tumor and the surrounding healthy tissue, and length, number and polarity of electrodes. The influence of these parameters on electric current density in both media is analyzed. The results show that the electric current density in the tumor is higher than that in the surrounding healthy tissue for any value of these parameters. The conclusion is that the solution method presented in this study is of practical interest because it provides, in a few minutes, a convenient way to visualize in 3D the electric current densities generated by a radial electrode array by means of the adequate selection of direct current intensity, length, number, and polarity of electrodes, and the difference in conductivity between the solid tumor and its surrounding healthy tissue.     

Ion acceleration in a dipole vortex in a laser plasma corona

Particle-in-cell simulations show that the inhomogeneity scale of the plasma produced in the interaction of high-power laser radiation with gas targets is of fundamental importance for ion acceleration. In a plasma slab with sharp boundaries, the quasistatic magnetic field and the associated electron vortex structure produced by fast electron beams both expand along the slab boundary in a direction perpendicular to the plasma density gradient, forming an extended region with a quasistatic electric field, in which the ions are accelerated. In a plasma with a smooth density distribution, the dipole magnetic field can propagate toward the lower plasma density in the propagation direction of the laser pulse. In this case, the electron density in an electric current filament at the axis of the magnetic dipole decreases to values at which the charge quasineutrality condition fails to hold. In electric fields generated by this process, the ions are accelerated to energies substantially higher than those characteristic of plasma configurations with sharp boundaries.     

Effects of localised,low-voltage pulsed electric fields on the development and inhibition of Pseudomonas aeruginosa biofilms

Abstract

This work describes the use of low-voltage (0.5 – 5 V) pulsed electric fields to prevent Pseudomonas aeruginosa biofilm development. Interdigitated electrodes (IDEs) with 29-μm spacing between 22-μm-wide electrodes, were used as a platform where the effect of localised, high-strength electric fields could be tested. Alternating current, square-wave pulses were applied to the IDEs in 1 sec intervals. A two-level, three-variable factorial design experiment was used to detect the effects of applied voltage, frequency, and pulse duty ratio (i.e. percentage of pulsing time over one cycle) on the inhibition of biofilm formation. The observations indicated that a pulse configuration of 1% duty ratio, 5 V, and 200 Hz frequency reduced the area of the electrodes covered by biofilm by 50%. In general, the application of low-duty ratio pulses had a positive effect on preventing biofouling. Comparatively, frequency and applied voltage were observed to have less influence on biofouling.     

Confinement and manipulation of actin filaments by electric fields

When an AC electric field was applied across a small gap between two metal electrodes elevated above a surface, rhodamine-phalloidin-labeled actin filaments were attracted to the gap and became suspended between the two electrodes. The variance of each filament's horizontal, lateral displacement was measured as a function of electric field intensity and position along the filament. markedly decreased as the electric field intensity increased. Hypothesizing that the electric field induces tension in the filament, we estimated the tension using a linear, Brownian dynamic model. Our experimental method provides a novel means for trapping and manipulating biological filaments and for probing the surface conductance and mechanical properties of single polymers.     

A Numerical Investigation of the Electric and Thermal Cell Kill Distributions in Electroporation-Based Therapies in Tissue

Electroporation-based therapies are powerful biotechnological tools for enhancing the delivery of exogeneous agents or killing tissue with pulsed electric fields (PEFs). Electrochemotherapy (ECT) and gene therapy based on gene electrotransfer (EGT) both use reversible electroporation to deliver chemotherapeutics or plasmid DNA into cells, respectively. In both ECT and EGT, the goal is to permeabilize the cell membrane while maintaining high cell viability in order to facilitate drug or gene transport into the cell cytoplasm and induce a therapeutic response. Irreversible electroporation (IRE) results in cell kill due to exposure to PEFs without drugs and is under clinical evaluation for treating otherwise unresectable tumors. These PEF therapies rely mainly on the electric field distributions and do not require changes in tissue temperature for their effectiveness. However, in immediate vicinity of the electrodes the treatment may results in cell kill due to thermal damage because of the inhomogeneous electric field distribution and high current density during the electroporation-based therapies. Therefore, the main objective of this numerical study is to evaluate the influence of pulse number and electrical conductivity in the predicted cell kill zone due to irreversible electroporation and thermal damage. Specifically, we simulated a typical IRE protocol that employs ninety 100-µs PEFs. Our results confirm that it is possible to achieve predominant cell kill due to electroporation if the PEF parameters are chosen carefully. However, if either the pulse number and/or the tissue conductivity are too high, there is also potential to achieve cell kill due to thermal damage in the immediate vicinity of the electrodes. Therefore, it is critical for physicians to be mindful of placement of electrodes with respect to critical tissue structures and treatment parameters in order to maintain the non-thermal benefits of electroporation and prevent unnecessary damage to surrounding healthy tissue, critical vascular structures, and/or adjacent organs.     

Single base mismatch detection by microsecond voltage pulses

A single square voltage pulse applied to metal electrodes underneath a silicon dioxide film upon which DNA probes are immobilized allows the discrimination of DNA targets with a single base mismatch during hybridization. Pulse duration, magnitude and slew rate of the voltage pulse are all key factors controlling the rates of electric field assisted hybridization. Although pulses with 1 V, lasting less than 1 ms and with a rise/fall times of 4.5 ns led to maximum hybridization of fully complementary strands, lack of stringency did not allow the discrimination of single base mismatches. However, by choosing pulse conditions that are slightly off the optimum, the selectivity for discriminating single base mismatches could be improved up to a factor approximately 5 when the mismatch was in the middle of the strand and up to approximately 1.5 when the mismatch was on the 5'-end and. These results demonstrate that hybridization with the appropriate electric field pulse provides a new, site-specific, approach to the discrimination of single nucleotide polymorphisms in the sub-millisecond time scale, for addressable DNA microarrays.     

Sterilization by electrohydraulic discharges

High voltage electric discharges between two electrodes immersed in a liquid (“electrohydraulic discharges”) inactivate microorganisms suspended in the liquid. The intense pulse of UV radiation emitted from the plasma formed between the electrodes causes most of the bactericidal effects, rather than shock waves, or free radicals or other chemical species formed in the liquid medium. A method of sterilizing materials without contamination from electrode debris is described. Possible applications and limitations of the technique are outlined.     

Inhibition of barnacle (Amphibalanus amphitrite) cyprid settlement by means of localized, pulsed electric fields

The increasing needs for environmental friendly antifouling coatings have led to investigation of new alternatives for replacing copper and TBT-based paints. In this study, results are presented from larval settlement assays of the barnacle Amphibalanus (= Balanus) amphitrite on planar, interdigitated electrodes (IDE), having 8 or 25 mum of inter-electrode spacing, upon the application of pulsed electric fields (PEF). Using pulses of 100 ms in duration, 200 Hz in frequency and 10 V in pulse amplitude, barnacle settlement below 5% was observed, while similar IDE surfaces without pulse application had an average of 40% settlement. The spacing between the electrodes did not affect cyprid settlement. Assays with lower PEF amplitudes did not show significant settlement inhibition. On the basis of the settlement assays, the calculated minimum energy requirement to inhibit barnacle settlement is 2.8 W h m(-2).     

大肠杆菌的直流电场刺激过程

以钛网电极和铂网电极对培养瓶中大肠杆菌生长过程进行加电刺激,研究其在直流电场作用下的生长情况,并结合循环伏安扫描、恒电流、十二烷基硫酸钠-聚丙烯酰胺凝胶电泳(SDS-PAGE)及测定菌体ATP酶活力等技术对大肠杆菌的直流电场刺激过程进行研究。结果表明,在0-0.2275mA/cm2范围内,随着电流密度的增加,直流电场对大肠杆菌生长量的增长促进作用逐渐增加,而0.0455mA/cm2的电场则是获得最大活菌量的最适电流密度;通过对析氢活性不同的铂网电极与钛网电极通加相同电流密度的电场,发现铂电极培养体系菌体生长优于钛电极培养体系菌体的生长。经验证发现引起这种变化的原因主要是水的阴极电解产物吸附氢和氢气比例的不同引起的;同时发现在0.091mA/cm2电流密度下,直流电场能有效提高ATP酶的活力,在8h时通电菌样酶活为不通电菌样酶活的3.2倍;通过对0.0455mA/cm2直流电场刺激后的菌体蛋白进行SDS-PAGE分析发现加电菌体在分子量25kD与35kD左右多肽表达量明显高于不加电菌体的多肽表达量,而在分子量为66.2kD左右时多肽表达量低于不加电菌体多肽表达量。     

An analytical model for the calculation of the change in transmembrane potential produced by an ultrawideband electromagnetic pulse

The electric field pulse shape and change in transmembrane potential produced at various points within a sphere by an intense, ultrawideband pulse are calculated in a four stage, analytical procedure. Spheres of two sizes are used to represent the head of a human and the head of a rat. In the first stage, the pulse is decomposed into its Fourier components. In the second stage, Mie scattering analysis (MSA) is performed for a particular point in the sphere on each of the Fourier components, and the resulting electric field pulse shape is obtained for that point. In the third stage, the long wavelength approximation (LWA) is used to obtain the change in transmembrane potential in a cell at that point. In the final stage, an energy analysis is performed. These calculations are performed at 45 points within each sphere. Large electric fields and transmembrane potential changes on the order of a millivolt are produced within the brain, but on a time scale on the order of nanoseconds. The pulse shape within the brain differs considerably from that of the incident pulse. Comparison of the results for spheres of different sizes indicates that scaling of such pulses across species is complicated.     

Study of the surface barrier discharge generated by electrodes in the form of a series of parallel metal strips

A surface discharge in a system where metal electrodes in the form of a series of parallel strips are positioned on the dielectric surface is studied. Analytical formulas for calculating the spatial distribution of the potential and the electric field in a discharge cell are derived. It is shown that the geometry of the metal electrodes should be taken into account (along with physical and chemical characteristics of the dielectric, the voltage applied to the electrodes, and other parameters of the system) for generation of the electric field with optimal configuration in the discharge cell. The obtained results are also applicable for analysis of discharge cells with a coplanar barrier discharge where metal electrodes are positioned in the dielectric at small depths. The results are of interest since a barrier discharge is one of the efficient methods for generating non-equilibrium plasma at high pressures for a variety of technological applications.     

Reduction of electrode polarization capacitance in low-frequency impedance spectroscopy by using mesh electrodes

Dielectric measurements of biological samples are obscured by electrode polarization, which at low frequencies dominates over the actual sample response. Reduction of this artifact is especially necessary in studying interactions of electric field with biological systems in the α-dispersion range. We developed a method to reduce the influence of electrode polarization by employing mesh instead of solid electrodes as sensing probes, thereby reducing the area of the double layer. The design decreases the electrode-electrolyte contact area by almost 40% while keeping the bulk sample capacitance the same. Interrogation electric fields away from the electrode surface and sensitivity are unaffected. Electrodes were microfabricated (600μm×50μm, spacing of 100μm) with and without mesh holes 7.5μm×7.5μm in size. Simulations of electric field performed using Comsol Multiphysics showed non-uniformity of the electric field within less than 1.5μm from the electrode surface, which encompasses the double layer region, but at greater distance the solid and mesh electrodes gave the same results. Mesh electrodes reduced capacitance measurements for water and KCl solutions of different concentrations at low frequencies (<10kHz), while higher frequency capacitance remained the same for both electrode types, confirming our hypothesis that this design leaves the electric field mainly unaffected. Impedance measurements at low frequencies for water and mice heart mitochondrial suspension were lower for mesh than for solid electrodes. Comsol simulations confirmed these results by showing that mesh electrodes have a greater charge density than solid electrodes, which affects conductance. These electrodes are being used for mitochondrial membrane potential studies.     

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.     

Hollow Microneedle Arrays for Intradermal Drug Delivery and DNA Electroporation

The association of microneedles with electric pulses causing electroporation could result in an efficient and less painful delivery of drugs and DNA into the skin. Hollow conductive microneedles were used for (1) needle-free intradermal injection and (2) electric pulse application in order to achieve electric field in the superficial layers of the skin sufficient for electroporation. Microneedle array was used in combination with a vibratory inserter to disrupt the stratum corneum, thus piercing the skin. Effective injection of proteins into the skin was achieved, resulting in an immune response directed to the model antigen ovalbumin. However, when used both as microneedles to inject and as electrodes to apply the electric pulses, the setup showed several limitations for DNA electrotransfer. This could be due to the distribution of the electric field in the skin as shown by numerical calculations and/or the low dose of DNA injected. Further investigation of these parameters is needed in order to optimize minimally invasive DNA electrotransfer in the skin.