Transient electric birefringence of agarose gels. II. Reversing electric fields and comparison with other polymer gels

The transient electric birefringence of low electroendosmosis (LE) agarose gels oriented by pulsed unidirectional electric fields was described in detail in Part I [J. Stellwagen and N. C. Stellwagen (1994), Biopolymers, Vol. 34, p. 187]. Here, the birefringence of LE agarose gels in rapidly reversing electric fields, similar in amplitude and duration to those used for field inversion gel electrophoresis, is reported. Symmetric reversing electric fields cause the sign of the birefringence of LE agarose gels, and hence the direction of orientation of the agarose fibers, to Oscillate in phase with the applied electric field. Because of long-lasting memory effects, the alternating sign of the birefringence appears to be due to metastable changes in gel structure induced by the electric field. If the reversing field pulses are equal in amplitude but different in duration, the orientation behavior depends critically on the applied voltage. If E < 7 V/cm, the amplitude of the birefringence gradually decreases with increasing pulse number and becomes unmeasurably small. However, if E > 7 V/cm, the amplitude of the birefringence increase more than 10-fold after ～ 20 pulses have been applied to the gel, suggesting that a cooperative change in gel structure has occurred. Because there is no concomitant change birefringence must be due to an increase in the number of agarose fibers and /or fiber bundles orienting in the lectric field, which in turn indicates a cooperatice breakdown of the noncovalent “junction zones” that corss-link the fibers in to the fgel matrix. The sign of the birefringence of LE agarose gels is always positive after extensive junction zone breakdown, indicating that the agarose fibers and fiber bundles preferentially orient parallel to the lectric field when they are freed from the constraints of the gel matrix. Three other gel-forming polymers, high electroendosmosis (HEEO) agarose (a more highly changed agarose), β-carrageenan (a stereoisomer of agarose), and polyacrylamide (a chemically corss-linked polymer) were alos studied in unidirectional and rapidly reversing electric fields. The birefringence of HEEO agarose backbone chain. The β-carrageenan gels exhibit variable orientation behavior in reversing electric fields, suggesting that its internal gel structure is not as tightly interconnected as that of agaroise gels. Both HEEO agarose and β-carrageenan gels exhibit a large increase in the amplitude of the birefringence with increasing pulse number when asymmetric reversing pulses > 7 V/cm are applied to the gels, suggesting that junction zone breakdown in a common feature of polysaccharide gels. Chemically cross-linked polyacrylamide gels exhibit very small birefringence signals, indicating that very little orientation occurs in pulsed lectric fields. The sign of the birefringence is independent of the polarity of the lectric field, as expected from the Kerr law, and normal orientation behavior is observed in reversing electric fields. Hence, the anomalous change in sign of the birefringence observed for agarose gels in reversing electric fields must be due to the metastable junction zones in the agarose gel matrix, which allow gel fiber rearrangements to occur. © 1994 John Wiley & Sons, Inc.     

Rotational diffusion of short DNA fragments in polyacrylamide gels: an electric birefringence study

Using electric birefringence we have examined the rotational diffusion of five short DNA fragments (55 to 256 base pairs) both in polyacrylamide gels as a function of gel concentration and in solution. The length dependence of the measured rotational relaxation times in the gels is in good agreement with the prediction from the Odijk theory for the dynamics of slightly flexible rods in a network. The rotational relaxation times were found to depend on the gel concentration, contrary to the prediction from the Odijk theory. Possible reasons for this observation are discussed. The birefringence decay curves for DNA fragments in the gel were single exponential only at small electric field strength.     

Transient electric birefringence of two small DNA restriction fragments of the same molecular weight.

The transient electric birefringence of two small DNA restriction fragments of the same molecular weight, one of which migrates anomalously slowly on polyacrylamide gels, has been investigated. Both fragments exhibit negative birefringence. The decay of the birefringence of the anomalously slowly migrating fragment is 8-9% faster than that of the normally migrating fragment. The faster birefringence decay of the anomalous fragment 12A persists under a variety of buffer conditions, suggesting that it is due primarily to static bending and/or curvature of fragment 12A. In reversing electric fields the absolute amplitude of the birefringence of fragments 12A and 12B decreased about 26% before returning to the steady state value. The minimum in the birefringence occurred faster than expected from the birefringence decay times and decreased with increasing electric field strength, suggesting that the minimum is due to a slow polarization of the ion atmosphere. For both fragments, the rise of the birefringence in the Kerr region is about 10% slower than the field-free decay. The buildup of the negative birefringence is preceded either by an interval when no birefringence is observed or by a small positively birefringent transient, suggesting that a small transverse ionic polarizability is also present. Both DNA fragments exhibit Kerr law behavior over most of the range of electric field strengths investigated. Analysis of the shapes of the saturation curves suggests that differences may exist in the polarization mechanisms of the two fragments.     

Effect of pulsed and reversing electric fields on the orientation of linear and supercoiled DNA molecules in agarose gels

When linear or supercoiled DNA molecules are imbedded in agarose gels and subjected to electric fields, they become oriented in the gel matrix and give rise to an electric birefringence signal. The sign of the birefringence is negative, indicating that the DNA molecules are oriented parallel to the electric field lines. If the DNA molecules are larger than about 1.5 kilobase pairs, a delay is observed before the birefringence signal appears. This time lag, which is roughly independent of DNA molecular weight, decreases with increasing electric field strength. The field-free decay of the birefringence is much slower for the DNA molecules imbedded in agarose gels than observed in free solution, indicating that orientation in the gel is accompanied by stretching. Both linear and supercoiled molecules become stretched, although the apparent change in conformation is much less pronounced for supercoiled molecules. When the electric field is rapidly reversed in polarity, very little change in the birefringence signal is observed for linear or supercoiled DNAs if the equilibrium orientation (i.e., birefringence) had been reached before field reversal. Apparently, completely stretched, oriented DNA molecules are able to reverse their direction of migration with little or no loss of orientation. If the steady-state birefringence had not been reached before the field reversal, complicated orientation patterns are observed after field reversal. Very large, partially stretched DNA molecules exhibit a rapid decrease in orientation at field reversal. The rate of decrease of the birefringence signal in the reversing field is faster than the field-free decay of the birefringence and is approximately equal to the rate of orientation in the field (after the lag period).(ABSTRACT TRUNCATED AT 250 WORDS)     

Transient electric birefringence of agarose gels. I. Unidirectional electric fields

The orientation of agarose gels in pulsed electric fields has been studied by the technique of transient electric birefringence. The unidirectional electric fields ranged from 2 to 20 V/cm in amplitude and 1 to 100 s in duration, values within the range typically used for pulsed field gel electrophoresis (PFGE). Agarose gels varying in concentration from 0.3 to 2.0% agarose were studied. The sign of the birefringence varied randomly from one gel to another, as described previously [J. Stellwagen & N. C. Stellwagen (1989), Nucleic Acids Research, Vol. 17, 1537–1548]. The sign and amplitude of the birefringence also varied randomly at different locations within each gel, indicating that agarose gels contain multiple subdomains that orient independently in the electric field. Three or four relaxation times of alternating sign were observed during the decay of the birefringence. The various relaxation times, which range from 1 to ～ 120 s, can be attributed to hierarchies of aggregates that orient in different directions in the applied electric field. The orienting domains range up to ～ 22 μm in size, depending on the pulsing conditions. The absolute amplitude of the birefringence of the agarose gels increased approximately as the square of the electric field strength. The measured Ker constants are ～ 5 orders of magnitude larger than those observed when short, high-voltage pulses are applied to agarose gels. The increase in the Kerr constants in the low-voltage regime parallels the increase in the relaxation times in low-voltage electric fields. Birefringence saturation saturation curves in both the low- and high-voltage regimes can be fitted by theoretical curves for permanent dipole orientation. The apparent permanent dipole moment increase approximately as the 1.6 power of fiber length, consistent with the presence of overlapping agarose helices in the large fiber bundles orienting in low-voltage electric fields, the optical factor is approximately independent of fiber length. Therefore, the marked increase in the Kerr constants observed in the low-voltage regime is due to the large increase in the electrical orientation factor, which is due in turn to the increased length of the fiber bundles and domains orienting in low-voltage electric fields. Since the size of the fiber bundles and domains approximates the size of the DNA molecules being separated by PFGE, the orientation of the agarose matrix in the applied electric field may facilitate the migration of large DNA molecules during PFGE. © 1994 John Wiley & Sons, Inc.     

Electric birefringence of polytetrafluoroethylene particles in agarose gels

Electric birefringence studies of strongly elongated, rod-like particles of polytetrafluoroethylene (PTFE) in agarose gels show that the negative effect observed by semi-diluted aqueous suspensions at low frequencies and at low electric field strengths (the so called "anomaly') disappears. The absolute value of the low frequency effect increases 3-4 times and the amplitude of modulation decreases faster compared to that of the suspensions. This together with decreased decay relaxation times in gels make the possibilty that the PTFE particles orientation in gels is not due to dipolar but to electrophoretic orientation mechanism quite probable. Similar change in the orientation mechanism could be expected also for suspensions of higher concentrations. The further elucidation of the orientation mechanism using fractions with lower polydispersity, broader ranges of experimental conditions (particle concentration, ionic strength and composition, electric field strengths, frequencies, etc.) could be interest for several fields: colloid electro-optics and especially that of concentrated colloids, pulsed field gel electrophoresis of DNA (and especially its sinusoidal biased field variant) and of nucleoprotein complexes and for the gel research.     

Orientation of the agarose gel matrix in pulsed electric fields.

The technique of transient electric birefringence was used to investigate the effect of pulsed electric fields on the orientation of the agarose gel matrix. Orientation of the gel was observed at all electric field strengths. Very slow, time-dependent effects were observed when pulses of 10-100 V/cm were applied to 1% gels for 0.5-2 seconds, indicating that domains of the matrix were being oriented by the electric field. The sign of the birefringence reversed when the direction of the applied electric field was reversed, indicating that the domains tend to orient in the perpendicular direction after field reversal. Theories of gel electrophoresis will need to incorporate the orientation of the matrix in order to provide a complete explanation of electrophoresis in agarose gels.     

Transient electrical birefringence characterization of heavy meromyosin

Heavy meromyosin (HMM) and myosin subfragment 1 (S1) were prepared from myosin by using low concentrations of alpha-chymotrypsin. The light chain distribution in HMM was identical with that of myosin, within experimental error, when analyzed on 12% polyacrylamide gels after electrophoresis. Specific birefringences and birefringence decay times were measured by transient electrical birefringence in 5 mM KCl, 5 mM tris(hydroxymethyl)aminomethane (pH 7), and 1 mM MgCl2 at 4 degrees C under gentle conditions that reduced the CaATPase activity by less than 10%. For solutions of HMM, by use of electric field pulses shorter than 0.5 microseconds, the birefringence decay signal from the S1 portions of HMM could be resolved and the rotational motions of the S1 moieties observed directly. The rotation relaxation time, adjusted to 20 degrees C, was 0.34 microseconds; this is in quantitative agreement with previous hydrodynamic results obtained by using covalently attached probes. The assignment of the fast decay time obtained with HMM to the S1 portions was confirmed by birefringence decay measurements on free S1, for which the relaxation time was 0.13 microseconds, corrected to 20 degrees C. The specific birefringences for S1 and HMM, respectively, were 0.37 X 10(-6) and 12.8 X 10(-6) (cm/statvolt)2. Thus, for much longer electric field pulses, the signal from HMM is due almost entirely to its subfragment 2 (S2) portion, and its rotational dynamics can also be monitored directly by using electrical birefringence. The decay of the signal from the S2 portion could be adequately fit without evoking bending of the S2 portion of HMM other than at its junction with S1.     

Orientation of DNA molecules in agarose gels by pulsed electric fields

The electric birefringence of DNA restriction fragments of three different sizes, 622, 1426, and 2936 base pairs, imbedded in agarose gels of different concentrations, was measured. The birefringence relaxation times observed in the gels are equal to the values observed in free solution, if the median pore diameter of the gel is larger than the effective hydrodynamic length of the DNA molecule in solution. However, if the median pore diameter is smaller than the apparent hydrodynamic length, the birefringence relaxation times increase markedly, becoming equal to the values expected for the birefringence relaxation of fully stretched DNA molecules. This apparent elongation indicates that end-on migration, or reptation is a likely mechanism for the electrophoresis of large DNA molecules in agarose gels. The relaxation times of the stretched DNA molecules scale with molecular weight (or contour length) as N2.8, in reasonable agreement with reptation theories.     

Intrinsic curvature in the VP1 gene of SV40: comparison of solution and gel results

DNA restriction fragments that are stably curved are usually identified by polyacrylamide gel electrophoresis because curved fragments migrate more slowly than normal fragments containing the same number of basepairs. In free solution, curved DNA molecules can be identified by transient electric birefringence (TEB) because they exhibit rotational relaxation times that are faster than those of normal fragments of the same size. In this article, the results observed in free solution and in polyacrylamide gels are compared for a highly curved 199-basepair (bp) restriction fragment taken from the VP1 gene in Simian Virus 40 (SV40) and various sequence mutants and insertion derivatives. The TEB method of overlapping fragments was used to show that the 199-bp fragment has an apparent bend angle of 46 +/- 2 degrees centered at sequence position 1922 +/- 2 bp. Four unphased A- and T-tracts and a mixed A3T4-tract occur within a span of approximately 60 bp surrounding the apparent bend center; for brevity, this 60-bp sequence element is called a curvature module. Modifying any of the A- or T-tracts in the curvature module by site-directed mutagenesis decreases the curvature of the fragment; replacing all five A- and T-tracts by random-sequence DNA causes the 199-bp mutant to adopt a normal conformation, with normal electrophoretic mobilities and birefringence relaxation times. Hence, stable curvature in this region of the VP1 gene is due to the five unphased A- and T- tracts surrounding the apparent bend center. Discordant solution and gel results are observed when long inverted repeats are inserted within the curvature module. These insertion derivatives migrate anomalously slowly in polyacrylamide gels but have normal, highly flexible conformations in free solution. Discordant solution and gel results are not observed if the insert does not contain a long inverted repeat or if the long inverted repeat is added to the 199-bp fragment outside the curvature module. The results suggest that long inverted repeats can form hairpins or cruciforms when they are located within a region of the helix backbone that is intrinsically curved, leading to large mobility anomalies in polyacrylamide gels. Hairpin/cruciform formation is not observed in free solution, presumably because of rapid conformational exchange. Hence, DNA restriction fragments that migrate anomalously slowly in polyacrylamide gels are not necessarily stably curved in free solution.     

Orientation of DNA Molecules in Agarose Gels By Pulsed Electric Fields

Abstract

The electric birefringence of DNA restriction fragments of three different sizes, 622,1426, and 2936 base pairs, imbedded in agarose gels of different concentrations, was measured. The birefringence relaxation times observed in the gels are equal to the values observed in free solution, if the median pore diameter of the gel is larger than the effective hydrodynamic length of the DNA molecule in solution. However, if the median pore diameter is smaller than the apparent hydrodynamic length, the birefringence relaxation times increase markedly, becoming equal to the values expected for the birefringence relaxation of fully stretched DNA molecules. This apparent elongation indicates that end-on migration, or reptation is a likely mechanism for the electrophoresis of large DNA molecules in agarose gels. The relaxation times of the stretched DNA molecules scale with molecular weight (or contour length) as N^2.8, in reasonable agreement with reptation theories.     

Separation of the DNA molecules beyond conventional size limits by gel electrophoresis with sodium dodecyl sulfate.

Electrophoretic mobility of DNA through polyacrylamide as well as agarose gels is greatly increased by sodium dodecyl sulfate (SDS). DNA molecules well beyond the conventionally separable size limits are separated readily and rapidly by gel electrophoresis with SDS in a conventional static electric field. Furthermore in optimal concentration gels DNA molecules of similar molecular sizes are separated better from one another in the presence of SDS than without it. Evidence is presented that SDS may act at least in part by altering conformation of DNA. This simple and readily available means for high resolution separation of hitherto impossible sizes of DNA molecules in polyacrylamide and agarose gels in an ordinary static electric field should find general use in molecular genetic analyses. Structural analyses of DNA-protein complexes are also facilitated by virtue of the simultaneous separation of the DNA and protein components on the same gel lane.     

Field inversion gel electrophoresis in denaturing polyacrylamide gels.

The velocities of single stranded DNA molecules in denaturing polyacrylamide gels during symmetric and asymmetric field inversion were measured at different pulse times and gel concentrations. Under the conditions chosen in our study, pulse times as short as a few milliseconds lead to a retardation of DNA molecules larger than 400 bases. We found that a field inversion with an electric field in the forward direction of about double the strength of that applied in the backward direction is a good compromise between the degree of retardation, the temperature control requirements and the run time of the gel.     

Structural aspects and orientation mechanism of mitochondrial F1 adenosinetriphosphatase. Evidence for a negative electric birefringence due to a permanent moment perpendicular to the long axes of the particle

The electric birefringence technique was used to investigate the steady-state birefringence, the orientational relaxation time, and the orientation mechanism of pig heart mitochondrial F1 adenosine-5'-triphosphatase (F1-ATPase). The electrooptical properties of this enzyme in solution were studied as functions of pH, protein concentration, and applied electric field. The F1-ATPase exhibits a surprising negative electric birefringence with a specific Kerr constant of -1.5 X 10(-3) esu cgs. The field-independent relaxation time was found to be 0.65 +/- 0.05 microseconds, corresponding to a rotational diffusion constant of 2.55 X 10(5) s-1. The overall size and shape of F1-ATPase have been calculated from both translational and rotational diffusion constants. The enzyme may be assumed to be an oblate ellipsoid of revolution with dimensions of about 170 X 170 X 70 A. The orientation mechanism of F1-ATPase was analyzed by fitting experimental birefringence rising curves with theoretical rising functions. The ratio of the permanent to induced dipole moment is found to be very high; therefore, the birefringence of F1-ATPase is due to a strong permanent dipole moment in a direction perpendicular to the long axes of the particle. These particular electric properties can be explained by the oligomeric structure of the protein and seem likely to play a role in its mechanism of functioning.     

Dependence of the electrophoretic mobility of DNA in gels on field intermittency

The electrophoretic mobility of double helical DNA in agarose and polyacrylamide gels increases as a function of time after the electric field is applied to the gel and decreases after the field is terminated. The changes are large for long (more than 10 kb) molecules. The effects of other variables are indicated.     

Optical Properties of DNA in Aqueous Solution

In the study of DNA electric birefringence, it is usual to use theories that consider that molecules in solution are small in relation to the light wavelength. In this work, we study the DNA electric birefringence using a broken-rod macroion (BRM) model composed of two cylindrical arms which does not restrict the size of the molecules. To achieve this, we include the inhomogeneity effect of the light electric field through the molecule and the interaction between its different parts. To analyze the interaction between a molecule and the incident beam of light, we apply the discrete dipole approximation (DDA), according to which each molecule is described as a finite array of electronic coupled oscillators. The electric birefringence is calculated from the oscillator polarizability. This is obtained from experimental data of electric birefringence saturation and from the increment of the solution refraction index in relation to that of the solvent. Furthermore, the oscillator polarizability is also estimated from DNA absorption spectrum using the Kronig–Kramers relations. This allows us to analyze the contributions of the different absorption bands of DNA to the electric birefringence. We analyze the influence of the inhomogeneity of the light electric field and of the intramolecular interactions in the characterization of DNA optical properties using electric birefringence measurements.     

Electric birefringence study of the purple membrane of Halobacterium halobium

An electric birefringence study was carried out on aqueous suspensions of the purple membrane of Halobacterium halobium. In addition to the characterization of both native and modified membrane samples, the dependence of electric birefringence on pH and ionic strength was also investigated. The results indicate that purple membrane shows electric birefringence at a field strength as low as 200 V/cm. The permanent dipole moment and polarizability ranged from 20,500 debyes and 1.01 × 10^?14 cm³ for a purple membrane concentration of 0.40 mg/mL to 41,000 debyes and 2.05 × 10^?14 cm³ for a concentration of 0.80 mg/mL. It was also found that removal of the retinyl group of bacteriorhodopsin substantially decreases but does not eliminate the electric birefringence of the membrane. The solubilization of the membrane by Triton X-100, however, completely abolishes the electric birefringence. These experiments indicate that there is an interaction between adjacent bacteriorhodopsin molecules within the purple membrane via the retinyl chromophore moiety that builds up the permanent dipole moment. They also suggest that there are two types of response when purple membrane suspensions are placed in an electric field. One is an alignment of the disk-shaped particles with the field. The other is a stacking of the particles following their alignment by the electric field, which is promoted by the induced dipole moment.     

Electric birefringence imaging of electrokinetic agarose orientation.

Time-resolved and steady-state electric birefringence imaging with a slow-scan video camera is used to study orientation during DNA agarose gel electrophoresis. The hydrodynamically induced gel distortion is shown to be the major source of birefringence under electrophoresis running conditions and to generate a birefringence image that approximates the image of the DNA concentration gradient in the electric field direction. A fluid kinematic model is presented to describe the spatial distribution of steady-state birefringence and is verified with fluorescence measurements of DNA distribution. The stress-optic coefficient of 1% agarose gel is measured by mechanical compression and used to evaluate the magnitude of the induced strain on the gel during electrophoresis.     

Study of large DNA fragments in agarose gels by transient electric birefringence

The pulsed-field gel electrophoresis (PFG) is a newly developing technique used in the fractionation of large DNA fragments. Advances in PFG demand a better understanding in the corresponding mechanisms of DNA dynamics in the gel network. Detailed experiments are needed to verify and to extend existing theoretical predictions as well as to find optimum conditions for efficient separation of large DNA fragments. In the present study, deformation of large DNA fragments (40-70 kilobase pairs) imbedded in agarose gels were investigated by using the transient electric birefringence (TEB) technique under both singular polarity and bipolarity electric pulses at low applied electric field strengths (E less than or equal to 5 V/cm). The steady-state optical retardation (delta s) of DNA molecules is linearly proportional to E2. At a given E, the amplitude of optical retardation [delta(t)] increases monotonically with the pulse width (PW) and then reaches a plateau value [delta(t = 0) = delta s] where t = 0 denotes the time when the applied field is turned off or reversed. The field-free decay time (tau-a few minutes) is several orders of magnitudes slower than that from previous TEB observations using high electric field strengths (E-kV/cm) and short pulse widths (PW-ms). The degree of deformation (stretching and orientation) and the time of restoration to the equilibrium conformation of overall DNA chains have been related to delta and tau. In field inversion measurements, exponentially rising and linearly falling of birefringence signals in the presence of forward/inverse applied fields were observed. The rising and falling of birefringence signals were reproducible under a sequence of alternating pulses. Comparison of our results with literature findings and discussions with theories are presented.     

Magnetic alignment of collagen during self-assembly

Magnetically induced birefringence is used to monitor the thermally induced self-assembly of collagen fibrils from a solution of molecules. The magnetic torque alone can, at best, only orient the fibrils into planes normal to the field direction. Nevertheless, the gels formed have a high degree of uniaxial alignment, probably due to the additional ordering effects of surface interactions. Thus magnetic orientation is potentially useful in the study of fibrillogenesis and in the production of highly oriented collagen gels.