Analysis of electrophoretic mobility data for human erythrocytes according to sublayer models

An attempt was made to analyze the electrophoretic mobility data of human erythrocytes in media of different pH values and ionic strengths through cell surface models in which the surface charge layer consists of several ion-penetrable sublayers with a uniform charge distribution in each sublayer. As a result, the three-sublayer model was found to explain the mobility data much better than the two-sublayer model in a wide range of ionic strength at all pH values studied.     

Theory of the electrokinetic behavior of human erythrocytes

We develop a theory of electrophoresis of human erythrocytes that predicts mobilities significantly smaller than those based on the classical Smoluchowski relation. In the classical treatment the charge is assumed to be spread uniformly on the hydrodynamic surface. The present model takes into account that most of the charge, due mainly to sialic acid, is contained in the glycocalyx. The glycocalyx is modeled as a permeable layer of polyelectrolyte molecules anchored to the cell membrane. The charge is assumed to be uniformly distributed throughout this layer. The fluid flow in the layer is treated as being dominated by Stokes friction arising from idealized polymer segments. The Navier-Stokes equations are solved to give the dependence of electroosomotic velocity with distance from the cell surface. An expression for the electrophoretic mobility is obtained which contains two parameters (a) the thickness of the glycocalyx and (b) the mean polymer segment radius. The best fit to experimental data is obtained if these are given the values 75 A and 7 A, respectively. Deviation from experimental data at low ionic strength (less than 0.05 M) occurs. However, this deviation is in the direction one would expect if at low ionic strength the polyelectrolyte layer expands slightly due to decreased charge shielding.     

Nanomechanical model of microtubule translocation in the presence of electric fields

Research efforts in recent years have been directed toward actively controlling the direction of translocation of microtubules on a kinesin-coated glass surface with E-fields (electric fields), opening up the possibility of engineering controllable nanodevices that integrate microtubules and motor proteins into their function. Here, we present a detailed, biophysical model that quantitatively describes our observations on the steering of microtubules by electric fields. A sudden application of an electric field parallel to the surface and normal to the translocation direction of a microtubule bends the leading end toward the anode, because Coulombic (electrophoretic) forces are dominant on negatively charged microtubules. Modeling this bending as a cantilever deflection with uniform loading requires accurate mechanical and electrical properties of microtubules, including their charge density, viscous drag, and flexural rigidity. We determined the charge density of microtubules from measurements of the electrophoretic mobility in a “zero flow” capillary electrophoresis column and estimate it to be 256 e⁻ per micron of length. Viscous drag forces on deflecting microtubules in electroosmotic flows were studied theoretically and experimentally by directly characterizing flows using a caged dye imaging method. The flexural rigidity of microtubules was measured by applying E-fields to microtubules with biotinylated segments that were bound to streptavidin-coated surfaces. From the calculated loading, and the Bernoulli-Euler curvature and moment equation, we find that the flexural rigidity of microtubules depends on their length, suggesting microtubules are anisotropic. Finally, our model accurately predicts the biophysical properties and behavior of microtubules directed by E-fields, which opens new avenues for the design of biomolecular nanotransport systems.     

An evaluation of the outer membrane charge and softness of<Emphasis Type="Italic">Thiobacillus ferrooxidans</Emphasis> by the Ohshima's electrophoretic model of a “soft” particle

The surface charge of bacterial cells plays an important role in their interfacial physiology and adhesion to substrata mediated by the electrostatic double-layer interaction. The surface charge or potential of biological cells is generally calculated from the experimentally measurable electrophoretic velocity of these cells migrating in an external electric field, applying the well-known Smoluchowski equation which is valid for “hard” particles with a sharp interface. However, bacterial cells possessing a structured outer membrane of a finite thickness (dependent on the ionic strength and pH of the surrounding liquid medium) are expected to obey Ohshima's electrophoretic mobility equation derived recently for ‘soft” particles. The electrophoretic mobility ofThiobacillus ferrooxidans was measured here by the fully automated technique of electrophoretic light scattering, based on the proportionality between the mobility and the Doppler shift in the frequency of light scattered by electrophoresing cells. Agreement was obtained between the experimentally determined electrophoretic mobility expressed as a function of low ionic strength (60–6000 μmol/L) at different pH values and the best-fit theoretical predictions of the “soft” particle electrophoresis theory, which is better than in the case of applying the Smoluchowski formula. The best-fit surface-charge and softness parameters predict a rather rigid and low-charge outer membrane of the bacterium examined, as compared to the parameters obtained for other bacteria in media of high ionic strength.     

Electrophoretic mobility of UV-irradiated bacterial cells

Electrophoretic mobility of Escherichia coli cells exposed to various doses of UV-radiation was investigated. The method of free flow electrophoresis was used to study a correlation between membrane protein charge and cell surface electric charge. The change in the cell surface charge and electrophoretic motility was associated with the damage to membrane proteins and the survival of UV-irradiated bacteria.     

Investigation of the connection between the electrophoretic mobility (EPM) of microorganisms and their capability of metal uptake

The electrophoretic mobility of microorganisms (EPM) as a measure of their electric surface charge was determined as a function of different milieu conditions with the aid of the “Parmoquant 2” cell electrophoresis apparatus manufactured by CARL ZEISS Jena. The object of these researches was to examine the influence of the electric surface charge of microorganisms on their metal loading capacity. The results show a direct correlation between the electric surface charge or the EPM of microorganisms and their maximum metal loading capacity. Cells with a high negative surface also posses a high metal binding capacity. On the other side only a negligible metal uptake can be observed at the isoelectric point of the microorganisms (EPM = 0). The method of cell electrophoresis proved suitable to analyze complex interactions between microorganisms and heavy metal ions.     

Application of continuous zone electrophoresis to preparative separation of proteins

A comprehensive study of the application of continuous zone electrophoresis to preparative separation of proteins in free solution is presented. First, the influence of electric field strength, buffer residence time in the chamber, sample flow rate, and sample concentration on separation resolution and throughput were studied. Using multiple injections of sample into the electrophoresis chamber, a throughput of 500 mg protein/h was achieved for partially purified model proteins. Experiments on Escherichia coli crude extracts yielded a fivefold purification of beta-galactosidase along with a simultaneous separation of proteins from cell debris in a single step. Experiments correlating the electrophoretic mobility in continuous electrophoresis with the elution behavior in ion-exchange chromatography were performed on more than a dozen proteins which conclusively showed that separation of proteins in continuous zone electrophoresis is governed by net surface charge. Based on these results, the fraction numbers in which the proteins eluted could be correctly predicted. Proteins and enzymes with differences >0.5 M elution molarities in ion-exchange chromatography were separated by continuous zone electrophoresis on a preparative scale (mg/h or g/h) with >90% recovery. This corresponds to a preparative scale separation of proteins and enzymes which differ in apparent electrophoretic mobility by only 0.70 x 10(-5) cm(2)/V . s. (c) 1993 John Wiley & Sons, Inc.     

Brownian diffusion and electrophoretic transport of double‐stranded DNA in agarose gels

The field free diffusion constant and the electric field dependence of the electrophoretic mobility and molecular orientation of DNA samples from 5 to 164 kilobase pairs in agarose gels from 0.5 to 2% have been measured by fluorescence recovery after photobleaching and birefringence. In conditions where the reptation predictions hold for the field free diffusion, they partially fail for the DNA size dependence of the low field limit of the electrophoretic mobility. The linear field dependencies of the electrophoretic mobility and orientation factor seem to favor the biased reptation model with fluctuations over the standard biased reptation model, which predicts a quadratic field dependence. The quantitative analysis of the molecular parameters shows, however, that most experiments have been carried out at values of the field where the difference between the two models may be less conclusive. The pore size dependence of the different quantities has been given a particular attention and the role of the distribution of pore sizes in the departures from the reptation predictions is discussed. © 1999 John Wiley & Sons, Inc. Biopoly 50: 45–59, 1999     

Status of methods for assessing bacterial cell surface charge properties based on zeta potential measurements

Surface interfacial physiology is particularly important to unicellular organisms with regard to maintenance of optimal cell function. Bacterial cell surfaces possess net negative electrostatic charge by virtue of ionized phosphoryl and carboxylate substituents on outer cell envelope macromolecules which are exposed to the extracellular environment. The degree of peripheral electronegativity influences overall cell surface polarity and can be assessed on the basis of zeta potential which is most often determined by estimating the electrophoretic mobility of cells in an electric field. The purpose of this review is to provide bacteriologists with assistance as they seek to better understand available instrumentation and fundamental principles concerning the estimation of zeta potential as it relates to bacterial surface physiology.     

An experimental test of new theoretical models for the electrokinetic properties of biological membranes. The effect of UO2++ and tetracaine on the electrophoretic mobility of bilayer membranes and human erythrocytes

For a large smooth particle with charges at the surface, the electrophoretic mobility is proportional to the zeta potential, which is related to the charge density by the Gouy-Chapman theory of the diffuse double layer. This classical model adequately describes the dependence of the electrophoretic mobility of phospholipid vesicles on charge density and salt concentration, but it is not applicable to most biological cells, for which new theoretical models have been developed. We tested these new models experimentally by measuring the effect of UO2++ on the electrophoretic mobility of model membranes and human erythrocytes in 0.15 M NaCl at pH 5. We used UO2++ for these studies because it should adsorb specifically to the bilayer surface of the erythrocyte and should not change the density of fixed charges in the glycocalyx. Our experiments demonstrate that it forms high-affinity complexes with the phosphate groups of several phospholipids in a bilayer but does not bind significantly to sialic acid residues. As observed previously, UO2++ adsorbs strongly to egg phosphatidylcholine (PC) vesicles: 0.1 mM UO2++ changes the zeta potential of PC vesicles from 0 to +40 mV. It also has a large effect on the electrophoretic mobility of vesicles formed from mixtures of PC and the negative phospholipid phosphatidylserine (PS): 0.1 mM UO2++ changes the zeta potential of PC/PS vesicles (10 mol % PS) from -13 to +37 mV. In contrast, UO2++ has only a small effect on the electrophoretic mobility of either vesicles formed from mixtures of PC and the negative ganglioside GM1 or erythrocytes: 0.1 mM UO2++ changes the apparent zeta potential of PC/GM1 vesicles (17 mol % GM1) from -11 to +5 mV and the apparent zeta potential of erythrocytes from -12 to -4 mV. The new theoretical models suggest why UO2++ has a small effect on PC/GM1 vesicles and erythrocytes. First, large groups (e.g., sugar moieties) protruding from the surface of the PC/GM1 vesicles and erythrocytes exert hydrodynamic drag. Second, charges at the surface of a particle (e.g., adsorbed UO2++) exert a smaller effect on the mobility than charges located some distance from the surface (e.g., sialic acid residues).     

Lateral electrophoresis and diffusion of Concanavalin A receptors in the membrane of embryonic muscle cell

A uniform electric field of 10 V/cm applied across the surface of embryonic toad Xenopus muscle cells results in the asymmetric accumulation of concanavalin A (Con A) receptors toward one side of the cells within 10 min, as visualized by postfield fluorescent Con A labeling. This field produces an extracellular voltage difference of 20 mV across these 20-microns wide cells. The effect is reversible in two respects: (a) Additional exposure of the cell to the same field of opposite polarity for 10 min completely reverses the asymmetric accumulation to the other side of the cell. (b) Relaxation occurs after the removal of the field and results in complete recovery of the uniform distribution in 30 min. Both the accumulation and the recovery movements are independent of cell metabolism, and appear to be electrophoretic and diffusional in nature. The threshold field required to induce a detectable accumulation by the present method is between 1.0 and 1.5 V/cm (corresponding to a voltage difference of 2-3 mV across a 20-microns wide cell). The electrophoretic mobility of the most mobile population of nonliganded Con A receptors is estimated to be about 2 x 10(-3) microns/s per V/cm, while their diffusion coefficient is in the range of 4-7 x 10(-10) cm2/s. Extensive accumulation of the Con A receptors by an electric field results in the formation of immobile aggregates. The Con A receptors appear to consist of a heterogeneous population of membrane components different in their charge properties, mobility, and capability in forming aggregates.     

Changes in surface-charge density of blood cells after sudden unexpected death

The objective of the investigation was evaluation of postmortem changes of electric charge of human erythrocyte and thrombocyte membranes after sudden unexpected death. The surface charge density values were determined on the basis of the electrophoretic mobility measurements of the cells carried out at various pHs of electrolyte solution. The interactions between both erythrocyte and thrombocyte membranes and electrolyte ions were studied. Values of parameters characterizing the membrane--that is, the total surface concentrations of both acidic and basic groups and their association constants with solution ions--were calculated on the basis of a four-equilibria mathematical model. The model was validated by comparison of these values to experimental data. We established that examined electric properties of the cell membranes are affected by sudden unexpected death. Postmortem processes occurring in the cell membranes can lead to disorders of existing equilibria, which in turn result in changes in values of all the above-mentioned parameters.     

On the theory of gel electrophoresis of DNA: extension and evaluation of the Lumpkin-DèJardin-Zimm model

Using fundamental concepts of hydrodynamics in porous media, we have rederived the Lumpkin-DèJardin-Zimm (LDZ) model for the gel electrophoresis of reptating, infinitely long, worm-like chains, such as DNA. The force balance provides a constraint for evaluating the correlation among the segment-to-field angles of a given molecular conformation. We have used an approximate analytical expression to account for this correlation in order to apply the present derivation to finite chain lengths. The resulting extended LDZ model predicts a nonlinear variation of electrophoretic mobility (mu) with reciprocal chain length (1/Lc) at low electric field strengths, similar to the one observed. The present derivation is valid only at low electric field strengths, and the predictions of the extended LDZ model fit data for a dimensionless electric field strength, E1*, of less than 1.23. An empirically useful criterion for determining the onset of reptation is also described. The present treatment shows how size-exclusion effects can be included in future theories. Models based on reptation alone are shown to predict a discontinuity in the molecular chain length dependence of mobility at a critical molecular size. Such discontinuities are not observed experimentally.     

Surface Charge of Giant Axons of Squid and Lobster

A method is described for the determination of the electrophoretic mobility of single, isolated, intact, giant axons of squid and lobster. In normal physiological solutions, the surface of hydrodynamic shear of these axons is negatively charged. The lower limit of the estimated surface charge density is -1.9 × 10^-8 coul cm^-2 for squid axons, -4.2 × 10^-8 coul cm^-2 for lobster axons. The electrophoretic mobility of squid axons decreases greatly when the applied transaxial electric field is made sufficiently intense; action potential propagation is blocked irreversibly by transaxial electric fields of the same intensity. The squid axon recovers its mobility hours later and is then less affected by transaxial fields. Eventually, a state is reached in which the transaxial field irreversibly reverses the sign of the surface charge. In contrast, there is no obvious effect of electric field on the mobility of lobster axons. The mobility of lobster axons becomes undetectable in the presence of Th⁴⁺ at a concentration which blocks the action potential, and in the presence of La³⁺ at a concentration which does not affect propagation. Quinine does not alter lobster axon mobility at a concentration which blocks action potential conduction. Replacement of extracellular Na⁺ by K⁺ is without effect upon lobster axon mobility. The electrophysiological implications of the results are discussed.     

High-resolution separation and accurate size determination in pulsed-field gel electrophoresis of DNA. 2. Effect of pulse time and electric field strength and implications for models of the separation process

Bacteriophage DNAs annealed into linear oligomeric concatemers were used to examine the quantitative pulsed-field gel electrophoretic behavior of different-sized DNAs as a function of electrical field strength and pulse time. Three zones of resolution are observed for increasingly larger DNAs. In the first two zones, the electrophoretic mobility decreases linearly with increasing DNA size. The separation in zone 2 is roughly twice that in zone 1. The largest DNA molecules do not resolve at all and migrate in a compression zone. Mobility in zone 1 increases linearly with the electric field strength and decreases with the inverse of the pulse time. The behavior of DNA in zone 2 is qualitatively similar. However, the effect of field strength and pulse time on the separations in each zone is quite different. The results for zone 1 are generally consistent with the predictions of several existing physical models of pulsed-field gel electrophoresis, but no model accounts for all of the observed behavior in the three zones.     

药物诱导的玉米根尖凋亡细胞表面电特性研究(英文)

细胞凋亡过程中细胞表面膜的电位很可能会发生改变。本文首次报导：应用细胞电泳技术（ｃｅｌｌ ｅｌｅｃｔｒｏｐｈｏｒｅｓｉｓ）对细胞毒素类药物放线菌酮（ｃｙｃｌｏｈｅｘｉｍｉｄｅ）、放线菌素 Ｄ（ａｃｔｉｎｏｍｙｃｉｎ Ｄ）和秋水仙碱（ｃｏｌｃｈｉｃｉｎｅ）等诱导的植物凋亡细胞与正常细胞之间电泳迁移率（ＥＰＭ）的差异进行了比较,对引起的膜电位变化进行了定量分析。实验以玉米根尖分生组织为材料,制备原生质体,经过适当剂量的药物处理（Ｆｉｇ．１－Ｂ）,在尽量减少细胞膜被破坏的情况下（Ｆｉｇ．２）,观察到：三种细胞毒素类药物的作用有所不同,被诱导的植物凋亡细胞的膜表面Ｚｅｔａ电位绝对值比正常细胞的高（Ｆｉｇ．１－Ａ）。本研究提示细胞电泳可对凋亡细胞表面膜电位的变化进行定量分析,为细胞凋亡的检测在方法上提供了新思路。     

Label-free determination of the number of biomolecules attached to cells by measurement of the cell's electrophoretic mobility in a microchannel

We developed a label-free method for a determination of the number of biomolecules attached to individual cells by measuring the electrophoretic mobility of the cells in a microchannel. The surface of a biological cell, which is dispersed in aqueous solution, is normally electrically charged and the charge quantity at the cell's surface is slightly changed once antibody molecules are attached to the cell, based on which we detect the attachment of antibody molecules to the surface of individual red blood cells by electrophoretic mobility measurement. We also analyzed the number of antibody molecules attached to the cell's surface using a flow cytometer. We found that there is a clear correlation between the number of antibody molecules attached to the individual cells and the electrophoretic mobility of the cells. The present technique may well be utilized not only in the field of cell biology but also in the medical and pharmaceutical industries.     

Modification of electrokinetic properties of nuclei in human buccal epithelial cells by electric fields

The influence of an alternating (50 Hz) electric field (5--110 V/cm) on the state of human buccal epithelium cells was studied by the methods of intracellular microelectrophoresis, heterochromatin staining with orcein, and indigo carmine staining for viability and membrane integrity evaluations. Electric field exposure induced an increase in electrophoretic mobility of cell nuclei, decreased numbers of heterochromatin granules near the inner membrane of cell nucleus, and induced cell membrane damage; but cell viability was conserved. Nuclear and cell membrane properties varied with electric field strength and age of the donors. The data obtained are interpreted as evidence of electric field induced activation of the functional state of nuclei.     

Electrophoretic detection of reversible chlorpromazine · HCl binding at the human erythrocyte surface

The binding of chlorpromazine · HCl at the human erythrocyte surface has been detected through its effect on cellular electrophoretic mobility. Incubation of erythrocytes (approx. 5 · 10⁶/ml) in 23 μM chlorpromazine · HCl resulted in a reduction of negative electrophoretic mobility from the control value of $\text{?1.11 ± 0.01}$ (μm · s^?1)/(V · cm^?1) to $\text{?1.00 ± 0.02}$ (μm · s^?1)/(V · cm^?1) (pH 7.2, ionic strength 0.155). This mobility change was completely reversed when chlorpromazine · HCl was removed by centrifugal washing. Increasing the drug concentration to 70μM did not affect the mobility change, indicating saturation of the electrophoretically detectable drug binding sites over chlorpromazine · HCl concentration range studied here. The effect of the 23 μM chlorpromazine · HCl on electrophoretic mobility was also measured in isotonic media of reduced ionic strength. The drug-induced reduction in negative surface charge density was found to be independent of ionic strength over the range 0.155 (Debye length, 0.8 nm) to 0.00310 (Debye length, 5.7 nm).Fixation of erythrocytes with glutaraldehyde affected neither the normal electrophoretic mobility of discocytes nor the reduced electrophoretic mobility of chlorpromazine · HCl-induced stomatocytes. When these stomatocytes were first fixed with glutaraldehyde, then washed free of chlorpromazine · HCl, they retained the stomatocyte form while regaining a normal control electrophoretic mobility. Conversely, when discocytes fixed in that form were treated with chlorpromazine · HCl, they showed the same mobility change as did fixed or unfixed stomatocytes. The drug-induced mobility change is therefore independent of the shape change, but reflects a contribution to cellular surface charge density from the membrane-bound chlorpromazine · HCl molecules. From the charge reduction, it is estimated that about 10⁶ chlorpromazine · HCl molecules are bound at the electrokinetic cell surface and occupy approximately 0.4% of the total surface area.