Electrohydrodynamically induced aggregation during constant and pulsed field capillary electrophoresis of DNA

We present a study aimed at understanding the factors affecting the separation of large DNA molecules by capillary electrophoresis in polymer solutions. In a first series of experiments, a systematic study of the effect of operational parameters on the development of an electrohydrodynamic instability resulting in DNA aggregation and spurious peaks in the electropherograms is presented. The results are discussed in regard to a recent theory of electrohydrodynamic instabilities in macroion suspensions, recently proposed by Isambert et al. Overall, the results provide strong support to the theory. Some situations of interest for applications, and not explicitly considered in the theory, such as asymmetric field pulsing and the use of polymer additives in the buffer, were also considered. Furthermore, robust optimized protocols for high resolution separation of DNA in the range of 100 base pairs to 160 kilobase pairs, are proposed. As predicted by the model, it is shown that using a concentrated isoelectric buffer (histidine) strongly reduces aggregation as compared to the use of a conventional buffer at the same concentration, and allows separation of DNA from 100 bp to 160 kbp in less than 10 min. We also present a systematic study of the dependence of the mobility vs DNA size, pulse frequency, and field strength. The results are discussed with respect to the Biased Reptation with Fluctuations model and a good agreement is obtained. Copyright 1999 John Wiley & Sons, Inc.     

The hydrodynamics of DNA electrophoretic stretch and relaxation in a polymer solution

Theories of DNA electrophoretic separations generally treat the DNA as a free draining polymer moving in an electric field at a rate that depends on the effective charge density of the molecule. Separations can occur in sieving media ranging from ultradilute polymer solutions to tightly cross-linked gels. It has recently been shown that DNA is not free-draining when both electric and nonelectric forces simultaneously act on the molecule, as occurs when DNA collides with a polymer during electrophoretic separations. Here we show that a semidilute polymer solution screens the hydrodynamic interaction that results from the application of these forces. Fluorescently labeled DNA tethered at one end in a semidilute solution of hydroxyl-ethyl cellulose stretch more in an electric field than they stretch in free solution, and approach free-draining behavior. The steady stretching behavior is predicted without adjustable parameters by a theory developed by Stigter using a hydrodynamic screening length found from effective medium theory. Data on the relaxation of stretched molecules after the electric field is removed agree with the Rouse model prediction, which neglects hydrodynamic interactions. The slowest relaxation time constant, tau(R), scales with chain length as tau(R) approximately L(1.9+/-0.17) when analyzed by the data collapse method, and as tau(R) approximately L(2.17+/-0.17) when analyzed by multiexponential fit.     

Free solution mobility of oligomeric DNA

The free solution electrophoretic mobility of a charged oligomer in an ionic solvent that approximately takes into account relaxation field effects, screening of the velocity field, and the hydrodynamic interactions resulting from motions of the charges due to an electric field is described. For double‐stranded DNA, the free solution electrophoretic mobility under ionic strengths determined by the buffer and pH conditions relevant to capillary electrophoresis increases with increasing molecular weight up to few hundred base pairs. © 1999 John Wiley & Sons, Inc. Biopoly 49: 209–214, 1999     

土壤表面电场对黑土团聚体破碎和侵蚀的影响

通过定量调控土粒表面电场强度,采用湿筛法和模拟降雨试验,研究了土壤表面电场对东北黑土团聚体稳定性和土壤侵蚀的影响。结果表明: 1)随着土壤本体溶液电解质浓度的降低,土壤颗粒表面电位绝对值和电场强度均不断增加,宾县黑土和克山黑土表面电场强度均可达10⁸ V·m^-1数量级;2)随着土粒表面电场增强,土壤团聚体的破碎程度增大,平均重量直径表现为先急剧减小而后保持不变;3)通过人工模拟降雨试验可知,随本体溶液电解质浓度降低,颗粒表面电场增强,土壤流失强度增大。当电解质浓度＜0.01 mol·L^-1,对应宾县黑土和克山黑土的表面电位绝对值分别大于210和209 mV时,土壤累积流失量随时间的分布曲线较为接近,表明0.01 mol·L^-1是影响土壤侵蚀强度的电解质临界浓度值;4)土壤累积流失量与团聚体平均重量直径之间表现出良好的线性关系。综上,当雨水进入土壤,土粒表面电场增强,引发土壤团聚体破碎并释放大量细颗粒,最后在雨水冲刷作用下发生侵蚀。该研究结果可为深入理解东北黑土区土壤水蚀机理提供新的思路。     

Electric field effect on the helix–coil transition of poly(L-α,γ-diaminobutyric acid hydrochloride) in methanol/water mixtures

Transient electric birefringence of poly(L -α,γ-diaminobutyric acid hydrochloride) in methanol/water mixtures has been measured over a wide range of field strengths and solvent compositions and at different polymer concentrations and temperatures. The molar ellipticity at 222 nm and the specific Kerr constant underwent an abrupt change between 75 and 80 vol % methanol at 25°C, accompanied by a solvent-induced helix–coil transition. Anomalous birefringence transients were observed between 78 and 80 vol% methanol above threshold field strengths. The double logarithmic plots of the steady-state specific birefringence versus the square of field strength for different solvent compositions and polymer concentrations could be superimposed by shifting them horizontally along the abscissa and vertically along the ordinate except for the range where anomalous transients were observed. The threshold field strength could be estimated from the point at which a downward deviation occurred. It increased with increasing polymer concentration and with increasing methanol content on the verge of the transition region. The results were interpreted as indicating that a conformational change from the charged helix to the charged coil is induced by high fields in this system, as in the case of poly(L -lysine hydrobromide) in methanol/water mixtures.     

Controlling protein transport in ultrafiltration using small charged ligands

Previous studies have demonstrated that protein transport during ultrafiltration can be strongly influenced by solution pH and ionic strength. The objective of this study was to examine the possibility of controlling protein transmission using a small, highly charged ligand that selectively binds to the protein of interest. Experiments were performed using bovine serum albumin and the dye Cibacron Blue. Protein sieving data were obtained with essentially neutral and negatively charged versions of a composite regenerated cellulose membrane to examine the effects of electrostatic interactions. The addition of only 1 g/L of Cibacron Blue to an 8 g/L BSA solution reduced the BSA sieving coefficient through the negatively-charged membrane by more than two orders of magnitude, with this effect being largely eliminated at high salt and with the neutral membrane. Protein sieving data were in good agreement with model calculations based on the partitioning of a charged sphere in a charged pore accounting for the change in net protein charge due to ligand binding and the increase in solution ionic strength due to the free ligand in solution.     

Steady-state gel electrophoresis of long polymer molecules: a theoretical study

The velocity of long polymer molecules in a gel and the liquid flow profile in the vicinity of a molecule's surface were studied theoretically by combining the Navier-Stokes equation with the Poisson-Boltzmann equation. The electrophoretic mobility has been calculated in dependence of the ionic strength of the electrolyte solution, its viscosity, the gels' volume friction coefficient, the surface charge and the radius of the polymer molecule. The results are presented in a non-dimensional form and depend on two dimensionless parameters only. The first parameter is the radius of the polymer molecule in units of the Debye length. The second is a parameter comprising the electrolyte's viscosity and the gel density. Thus, by similarity theory, the results apply to any given experimental arrangement. Received: 10 May 1999 / Revised version: 17 November 1999 / Accepted: 6 December 1999     

Threshold effects observed in conformation changes induced by electric fields

Single-stranded polynucleotides are used as model systems for the investigation of conformational changes induced by electric fields. It is demonstrated that the single-strand helix–coil transition in poly(A), poly(dA), and poly(C) can be induced by application of high electric fields. The transition is measured by UV absorbance using polarized light at an angle of 54.8° with respect to the vector of the electric field and by electrodichroism. A linear increase of the absorbance, reflecting the helix-to-coil transition, is observed at increasing field strength. When ions are added to the polymer, electric fields do not induce conformation changes, unless a threshold value of the electric field strength E₀ is exceeded. At field strengths above this threshold, the degree of transition is a linear function of the increase in field strength. The threshold values E₀ show a linear increase with the logarithm of the ion concentration. Bivalent ions cause thresholds at much lower ion concentrations than mo-novalent ions. The shielding efficiency of ions is correlated to the binding affinity of these ions to the polymer. The conformation changes induced by the field and the existence of thresholds can be explained on the basis of dissociation field effects. Similar threshold effects may be expected for other macromolecules as well as for membrane structures and may be important in the regulation of bioelectricity.     

The use of poly(2-acrylamido-2-methyl-1-propanesulfonic acid) polymers as spacers for isotachophoresis in sieving gel matrices

The electric field strength gradients generated in isotachophoresis (ITP) may be used for the separation of biomolecules. Poly(2-acrylamido-2-methyl-1-propanesulfonic acid) (polyAMPS) polymers of a uniform distribution of molecular mass were synthesized and used as novel spacers in ITP. Since these polymeric spacers are strongly acidic species, their ionic charges remain constant over a wide pH range, so that their ionic mobilities are governed solely by their molecular masses and not by the pH of the milieu. A modification of ITP known as telescope electrophoresis was used to separate a number of acidic dyes of varying ionic mobility, using polyAMPS polymers as spacers. The resolution obtained was superior to that obtained by polyacrylamide gel electrophoresis (PAGE), due to the focusing effect of the electric field strength gradient. Since these novel polymeric spacers are designed to operate within sieving medium, it was decided to test their suitability for the separation of DNA molecules. DNA molecules up to 1000 bp long were successfully resolved, with a similar resolution to that obtained with conventional PAGE.     

Kerr effect of charged dipolar macromolecules without condensed counterions in conducting solution.

The theoretical treatment of the Kerr constant of rigid, dipolar, conducting ellipsoidal macromolecules of O'Konski and Krause (1970. J. Phys. Chem. 74:3243) has been extended to very low ionic strength solutions for charged macromolecules. The O'Konski and Krause theoretical treatment postulated a surface conductivity directly on the surface of each macromolecule. For charged macromolecules, this surface conductivity was generally assumed to be caused by movement of condensed counterions on the macromolecules. In the present work, it has been assumed that, at very low ionic strength, the average counterion is at the Debye characteristic distance from the surface of each charged macromolecule and contributes to surface conductivity at that distance, with no additional surface conductivity on the true surface of the macromolecule. Essentially, these considerations change the calculated interaction energy of the macromolecule with an externally applied electric field via a change in both the internal field components and in the reaction field of the macromolecular dipole. The new interaction energy is used to calculate the orientation distribution function of the macromolecules in solution and this distribution function can, in principle, be used to calculate the steady state electric linear or circular dichroism, electric light scattering, anisotropy of conductivity, etc., using the appropriate theoretical treatment for each of these quantities.     

The electromechanics of DNA in a synthetic nanopore

We have explored the electromechanical properties of DNA on a nanometer-length scale using an electric field to force single molecules through synthetic nanopores in ultrathin silicon nitride membranes. At low electric fields, E < 200 mV/10 nm, we observed that single-stranded DNA can permeate pores with a diameter >/=1.0 nm, whereas double-stranded DNA only permeates pores with a diameter >/=3 nm. For pores <3.0 nm diameter, we find a threshold for permeation of double-stranded DNA that depends on the electric field and pH. For a 2 nm diameter pore, the electric field threshold is approximately 3.1 V/10 nm at pH = 8.5; the threshold decreases as pH becomes more acidic or the diameter increases. Molecular dynamics indicates that the field threshold originates from a stretching transition in DNA that occurs under the force gradient in a nanopore. Lowering pH destabilizes the double helix, facilitating DNA translocation at lower fields.     

Genetic engineering of stimuli-sensitive silkelastin-like protein block copolymers

Differentially charged analogues of block copolymers containing repeating sequences from silk (GAGAGS) and elastin (GVGVP) were synthesized using genetic engineering techniques by replacing a valine residue with glutamic acid. The sensitivity to pH and temperature was examined at various polymer concentrations, ionic strengths, and polymer lengths. The polymers transitioned from soluble to precipitate state over narrow temperature ranges. The transition temperature T(t) (the temperature at which half-maximal spectrophotometric absorption was observed) increased with increasing pH up to pH 7.0 and leveled off above this value for the Glu-containing polymer (17E)(11). T(t) was independent of pH for the Val-containing polymer (17V)(11). It decreased with increasing ionic strength, polymer concentration, and polymer length for both polymers. These results suggest that by substituting charged amino acids for neutral amino acids at strategic locations in the polymer backbone and by control of the length of silkelastin-like block copolymers using genetic engineering techniques, it is possible to precisely control sensitivity to pH, temperature, and ionic strength.     

Physicochemical behaviour of chitin gels

Syneresis of chitin gels formed in the course of N-acetylation of chitosan in hydroalcoholic media has been studied. A critical cross-linking density related to a critical acetylation degree for which the gel undergoes weak syneresis and swells in water was shown (degree of acetylation (DA) 88%). Above this value, the weight loss during syneresis increases with DA. Conversely, syneresis decreases on increasing the polymer concentration, but disappears at a macroscopic level for a polymer concentration close to the critical concentration of entanglement in the initial solution. An increase in temperature favours the formation of hydrophobic interactions and new inter- and intramolecular hydrogen bondings. Due to the weak polyelectrolyte character of chitin, the weight of the gel depends on the pH and ionic strength of the media. Swelling-deswelling experiments show that the swelling of the gel is not fully reversible in relation with the formation of new cross-links during the depletion of the network. Our results reveals that the balance between segment-segment and segment-solvent interactions as well as the molecular mobility play the major role.     

Cooperative lipid-protein interaction. Effect of pH and ionic strength on polymyxin binding to phosphatidic acid membranes.

The binding of polymyxin-B to charged dipalmitoyl phosphatidic acid membranes has been studied as function of the external pH and of the ionic strength of the buffer solution. The phase transition curves were obtained by measuring the fluorescence depolarization of diphenyl hexatriene incorporated into the membrane with temperature. The molecular process of polymyxin binding was elucidated: 1. At an ionic strength of I greater than or equal to 0.1 mol/l a three step phase transition curve is found. A high-temperature step corresponds to the non-bound lipid. A lowered phase transition concerns to protein-bound lipid domains. This again is splitted into two steps. An inner core of the domain is characterized by a lipid-protein complex which is stabilized through hydrophobic and electrostatic interactions between polymyxin and the charged lipid. This core is surrounded by an outer belt of only hydrophobically bound molecules. This part shows a lower phase transition temperature than the inner core. 2. The binding curves of polymyxin to phosphatidic acid membranes depend strongly on the ionic strength of the water phase. The cooperativity of the binding process increases with increasing ionic strength and reaches a constant value at I greater than 0.2 mol/l. The maximum fraction of bound lipid decreases with increasing ionic strength. 3. The pH of the water phase strongly influences the cooperative binding process. At pH 6 a loss of cooperativity is observed at low ionic strength. Increasing the ion concentration to I = 0.3 mol/l recuperates the cooperativity of the binding process. At pH 3.0 no cooperative binding is obtained even at high ionic strength.     

Electrical hemolysis of human and bovine red blood cells.

The external electric field strength required for electrical hemolysis of human red blood cells depends sensitively on the composition of the external medium. In isotonic NaCl und KCl solutions the onset of electrical hemolysis is observed at 4 kV per cm and 50 per cent hemolysis at 6 kV per cm, whereas increasing concentrations of phosphate, sulphate, sucrose, inulin and EDTA shift the onset and the 50 per cent hemolysis-value to higher field strengths. The most pronounced effect is observed for inulin and EDTA. In the presence of these substances the threshold value of the electric field strength is shifted to 14 kV per cm. This is in contrast to the dielectric breakdown voltage of human red blood cells which is unaltered by these substances and was measured to be approximately 1 V corresponding in the electrolytical discharge chamber to an external electric field strength of 2 to 3 kV per cm. On the other hand, dielectric breakdown of bovine red blood cell membranes occurs in NaCl solution at 4 to 5 kV per cm and is coupled directly with hemoglobin release. The electrical hemolysis of cells of this species is unaffected by the above substances with exception of inulin. Inulin suppressed the electrical hemolysis up to 15 kV per cm. The data can be explained by the assumption that the reflection coefficients of the membranes of these two species to bivalent anions and uncharged molecules are field-dependent to a different extent. This explanation implies that electrical hemolysis is a secondary process of osmotic nature induced by the reversible permeability change of the membrane (dielectric breakdown) in response to an electric field. This view is supported by the observation that the mean volumes of ghost cells obtained by electrical hemolysis can be changed by changing the external phosphate concentration during hemolysis and resealing, or by subjecting the cells to a transient osmotic stress immediately after the electrical hemolysis step. An interesting finding is that the breakdown voltage, although constant throughout each normally distributed ghost size distribution, increases with increasing mean volume of the ghost populations.     

Electrophoresis in protein crystal: nonequilibrium molecular dynamics simulations

Electrophoresis of a mixture of NaCl and CaCl₂ in a lysozyme crystal is investigated using nonequilibrium molecular dynamics (MD) simulations. Upon exposure to an electric field, the stability of lysozyme is found to decrease slightly. This finding is demonstrated by increases in the root mean-square deviations of the heavy atoms of lysozyme, in the solvent-accessible surface area of hydrophobic residues, and in the number of hydrogen bonds between lysozyme and water. The solvent-accessible surface area of hydrophilic residues changes marginally, and the number of hydrogen bonds between lysozyme molecules decreases. Water molecules tend to align preferentially parallel to the electric field, and the dipole moment along the pore axis increases linearly with increasing field strength. Two pronounced layered structures are observed for Na⁺ and Ca²⁺ in the vicinity of protein surface, but only one enriched layer is observed for Cl⁻. The number distributions of all ions are nearly independent of the electric field. The water coordination numbers of all ions are smaller in the crystal than in aqueous bulk solution; however, the reverse is found for the Cl⁻ coordination numbers of cations. Both the water and the Cl⁻ coordination numbers are insensitive to the electric field. Ion diffusivities in the crystal are ∼2 orders of magnitude smaller than those in aqueous bulk solution. The drift velocities of ions increase proportionally to the electric field, particularly at high strengths, and depend on ionic charge and coordination with oppositely charged ions. Electrical current exhibits a linear relationship with the field strength. The zero-field electrical conductivity is estimated to be 0.56 S/m, which is very close to 0.61 S/m as predicted by the Nernst-Einstein equation.     

Electric field-induced conformational change of poly(L-lysine) studied by transient electric birefringence

Transient electric birefringence measurements on poly(L -lysine hydrobromide) in methanol–water mixtures have been carried out at various solvent compositions in the vicinity of the helix–coil transition region (from 87 to 98 vol % methanol). Anomalous birefringence transients were observed between 90 and 95 vol % methanol above a threshold field strength. A distinct difference between the responses to weak and strong electric fields was noticed over a narrow range of the solvent composition. The effects of polymer concentration and temperature on the field-strength dependence of the birefringence were studied at a solvent composition of 90 vol % methanol where the anomalous transients appeared most clearly. The double logarithmic plots of the steady-state specific birefringence versus the square of field strength for different concentrations and temperatures could be superimposed by shifting them horizontally along the abscissa. The threshold field strength which was determined from the shift factor decreased with decreasing concentration. The results provide further evidence that strong electric fields can cause a helix–coil transition in this system under favorable conditions.     

Capillary electrophoresis of DNA in the 20-500 bp range: recent developments

The present mini-review summarizes recent developments in the field of DNA separations by capillary zone electrophoresis (CZE), as developed by our group. Separation of antisense oligonucleotides in sieving liquid polymers in isoelectric buffers is first discussed. It is shown that the use of isoelectric buffers (notably His) permits very high voltage gradients (up to 1,000 V/cm) with much reduced transit times and increased resolution of all truncated and failed sequences. Oligonucleotides can also be analyzed by zone electrophoresis against a stationary pH gradient (typically a pH 6.5-10 range): if injected at the alkaline end, the sample components experience stacking and zone sharpening due to modulation of charge as the oligonucleotides move along the pH gradient. Oligonucleotides having the same length, but differing by one single nucleotide in the chain, can be separated in free solution (i.e., in the absence of a sieving matrix) at strongly acidic pH values (pH 3.0-3.3) where charge differences due to base protonation are maximized. By working in free solution, it has also been possible to measure accurately the free mobility of DNAs, shown to reach a constant value of 3.75+/-0.04 10(-4) cm2 V(-1) s(-1) at 25 degrees C and in Tris-acetate-EDTA buffer, pH 8.3, above a critical length of ca. 400 bp. However, when double-stranded, rather than single-stranded, DNA is analyzed in isoelectric His buffer, some peculiar phenomena are observed: improved resolution for smaller DNA fragments (up to ca. 150 bp) and a rapid deterioration of resolution above this critical length. Direct binding of His to the DNA helix is hypothesized, via a bidentate salt bridge of the two charged amino groups of His on the negatively charged oxygen of the phosphate group. Upon extensive binding, occupying every available phosphate site, pi-pi interactions could occur among the stacks of bound His residues, thus further stabilizing the complex.     

Impact of internal RNA on aggregation and electrokinetics of viruses: comparison between MS2 phage and corresponding virus-like particles

We compare for the first time the electrokinetic and aggregation properties of MS2 phage (pH 2.5 to 7, 1 to 100 mM NaNO(3) electrolyte concentration) with those of the corresponding virus-like particles (VLPs), which lack entirely the inner viral RNA component. In line with our previous work (J. Langlet, F. Gaboriaud, C. Gantzer, and J. F. L. Duval, Biophys. J. 94:3293-3312, 2008), it is found that modifying the content of RNA within the virus leads to very distinct electrohydrodynamic and aggregation profiles for MS2 and MS2 VLPs. Under the given pH and concentration conditions, MS2 VLPs exhibit electrophoretic mobility larger in magnitude than that of MS2, and both have similar isoelectric point (IEP) values (～4). The electrokinetic results reflect a greater permeability of MS2 VLPs to electroosmotic flow, developed within/around these soft particles during their migration under the action of the applied electrical field. Results also support the presence of some remaining negatively charged component within the VLPs. In addition, MS2 phage systematically forms aggregates at pH values below the IEP, regardless of the magnitude of the solution ionic strength, whereas MS2 VLPs aggregate under the strict condition where the pH is relatively equal to the IEP at sufficiently low salt concentrations (<10 mM). It is argued that the stability of VLPs against aggregation and the differences between electrokinetics of MS2 and corresponding VLPs conform to recently developed formalisms for the stability and electrohydrodynamics of soft multilayered particles. The differences between the surface properties of these two kinds of particles reported here suggest that VLPs may not be appropriate for predicting the behavior of pathogenic viruses in aqueous media.