Stretching and overstretching of DNA in pulsed field gel electrophoresis. I. A quantitative study from the steady state birefringence decay

Using a sensitive birefringence instrument, the birefringence arising from the orientation of the DNA chain during electrophoretic transport has been recorded. This birefringence is shown to proceed both from the alignment (stretching) of the molecule in the direction of the electric field and from the extension of the length of its primitive path (overstretching). The contribution of these two processes can be separated in the decay of the birefringence after the end of the application of the electric field. The fast relaxation of the overstretching occurs first and is demonstrated to be the main contribution to the birefringence. The orientation factor of the remaining stretched state and its decay can be quantitatively understood using the biased reptation model. It provides, in addition, a high value for the tube diameter or gel pore size a (4500 ± 450 Å for a 0.7% agarose gel with a c^?0.6_g dependence in the agarose concentration c_g) and a low value for the effective charge per base pair (0.2e as compared to 0.5e using the condensation hypothesis). The contribution of overstretching to the birefringence is also quantitatively interpreted in term of the change in the mean length l of DNA inside a pore size a. The dynamics of decay of this overstretching is well represented by a stretched exponential with a stretching exponent α = 0.44. The mean decay time decreases slightly with increasing fields and scales with the overall DNA length close to N²₀. © 1993 John Wiley & Sons, Inc.     

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.     

Effect of granule size on the interference colors of starch in polarized light

Abstract

A Nikitin-Berek compensator tilted at 5.5° in a polarizing microscope was used to create a background second-order blue interference color against which starch granules were examined. A grating monochromator showed the first interference minimum of the background was at 590 nm. Starch granules have a radial molecular structure. Thus, some radii were in line with the axis of the compensator while others were across the compensator axis. Where radial birefringence counteracted the background birefringence, starch granules had two quadrants with a bright yellow first-order interference color. Where radial birefringence added to the background birefringence, there were two quadrants of second-order blue (higher than the background). In yellow quadrants where birefringence was reduced, the wavelength of the first interference minimum was reduced. In blue quadrants where birefringence was increased, the wavelength of the first interference minimum was increased. The extent to which the interference minimum of the background birefringence was shifted by starch granules was strongly dependent on the size of the starch granules. For yellow quadrants, the shifts were: r = ?0.87, P < 0.001, n = 22 for corn starch; r = ? 0.94, P <0.001, n = 22 for tapioca starch; and r = ?0.94, P <0.001, n = 12 for potato starch. For blue quadrants, the shifts were: r = 0.80, P < 0.001, n = 22 for corn; r = 0.81, P < 0.001, n = 22 for tapioca; and r = 0.93, P < 0.001, n = 16 for potato. When interference colors are used to evaluate starch granules, the granules should be similar in size or a correction must be made for granule size, and the Michel-Lévy chart of interference colors may be used to collect data subjectively.     

Electric birefringence of restriction enzyme fragments of DNA: optical factor and electric polarizability as a function of molecular weight

The electric birefringence of restriction enzyme fragments of DNA has been investigated as a function of DNA concentration, buffer concentration, and molecular weight, covering a molecular weight range from 80 to 4364 base pairs (bp) (6 × 10⁴–3 × 10⁶ daltons). The specific birefringence of the DNA fragments is independent of DNA concentration below 20 μg DNA/ml, but decreases with increasing buffer concentration, or conductivity, of the solvent. At sufficiently low field strengths, the Kerr law is obeyed for all fragments. The electric field at which the Kerr law ends is inversely proportional to molecular weight. In the Kerr law region the rise of the birefringence is accurately symmetrical with the decay for fragments ≤ 389 bp, indicating an induced dipole orientation mechanism. The optical factor calculated from a 1/E extrapolation of the high field birefringence data is ?0.028, independent of molecular weight; if a 1/E² extrapolation is used, the optical factor is ?0.023. The induced polarizability, calculated from the Kerr constant and the optical factor, is proportional to the square of the length of the DNA fragments, and inversely proportional to temperature. Saturation curves for DNA fragments ≤ 161 bp can be described by theoretical saturation curves for induced dipole orientation. The saturation curves of larger fragments are broadened, because of a polarization term which is approximately linear in E, possibly related to the saturation of the induced dipole in high electric fields. This “saturated induced dipole” is found to be 6400 D, independent of molecular weight. The melting temperature of a 216-bp sample is decreased 6°C in an electric field of 8 kV/cm, because the lower charge density of the coil form of DNA makes it more stable in an electric field than the helix form.     

Resistance of parenchyma cells in wood to degradation by brown rot fungi

Wood degradation by two basidiomycetes, Fomitopsis pinicola and Laetiporus sulphureus was studied in one conifer and four broadleaved trees: Picea abies (Norway spruce), Acer pseudoplatanus (sycamore), Betula pendula (birch), Quercus robur (common oak) and Robinia pseudoacacia (robinia). Observations of birefringence under polarized light showed that in all hosts both brown rot fungi affected cells of the early wood before those of the late wood. Degradation of cellulose, as shown by the loss of birefringence, was apparent after 6 weeks in the cell wall of fibres and fibre tracheids, but even after 12 weeks, axial parenchyma showed no signs of degradation. The results indicate that both brown rot fungi cause higher weight losses in hosts (P. abies and B. pendula) with a small amount of parenchyma cells, whereas the lowest weight losses are associated with wood containing a high amount of parenchyma cells (Q. robur and R. pseudoacacia). Resistance of parenchyma cells to degradation by brown rot fungi appears to be related to the cell wall morphology of parenchyma cells and may also reflect a low co-evolutionary adaptation of brown rot fungi to the xylem of broadleaved trees.     

Higher Order Structure of Chromatin: Influence of Ionic Strength and Proteolytic Digestion on the Birefringence Properties of Polynucleosomal Fibers

Abstract

Effects of ionic strength and proteolytic digestion on the conformation of chromatin fibers were studied by electric birefringence and relaxation measurements. The results confirm that at low ionic strength chromatin presents structural features reflecting those observed in the presence of cations. Soluble chromatin prepared from rat liver nuclei by brief nuclease digestion exhibits a positive birefringence. As the salt concentration is increased, the transition to a compact solenoidal structure is deduced from changes in electro-optical properties: the positive birefringence gradually decreases and the observed reduction in 40 mM NaCl is nearly 95%; the relaxation time decreases dramatically and the character of the kinetic changes since the decay of birefringence described initially by a spectrum of relaxation times becomes monoexponential.

On digestion with proteases at low ionic strength we observe at first a rapid increase of the positive birefringence concomitant with an increase of the relaxation time. Then the birefringence decreases and becomes negative. Chromatin undergoes two successive transitions: the first transition is explained by a lengthening of nucleosomal chains without modification of the orientation of nucleosomes within the superstructure and the second one by the unwinding of the DNA tails and internucleosomal segments.

When chromatin is digested at 30 mM NaCl we find a single unfolding transition characterized by the decrease of birefringence and a slight increase in the relaxation time. The results imply that the positive birefringence of chromatin does not depend on the presence of whole histone HI and that a salt concentration of 30 mM NaCl is sufficient to modify the initial site or/and the effects of proteolytic attack.     

Acid-Induced Structural Changes of a Mouse IgG2a Monoclonal Antibody (MN12) Studied by Transient Electric Birefringence Measurement

Abstract

Acid-induced structural changes of a mouse IgG_2a monoclonal antibody (MN12) as indicated by Jiskoot et al. (Eur. J. Biochem. 201, 223–232 (1991)) were studied by measuring the transient electric birefringence of MN12 in aqueous solution and in glycerol-water mixtures at different pH conditions. A multi-exponential analysis program, DISCRETE (Provencher, S.W., Biophys. J. 16, 27–41 (1976)), and a constrained inverse Laplace transform program, CONTIN (Provencher, S.W., Comp. Phys. Comm. 27, 213–227 (1982)) have been used to determine the number of exponentials needed to represent the data and their decay times.

Measurement of the time-resolved electric field induced birefringence makes it possible to study rotational processes on a timescale from several tens of nanoseconds to microseconds. This enabled us to monitor the segmental flexibility and the rotational motion of single antibody molecules as well as the occurrence of aggregates.

The results show an increase in hydrodynamic dimensions of MN12 upon lowering the pH from 6.6 to 2.7. Additionally, the original segmental flexibility, which could be monitored for the samples in glycerol-water mixtures, is altered at low pH. The results have been interpreted as swelling of MN12 followed by dimerization.

A short discussion on the use of DISCRETE and CONTIN is added.     

DNA polymorphism: spectroscopic and electro-optic characterizations of Z-DNA and other types of left-handed helical structures induced by Ni2+

CD and uv spectroscopy reveal that the synthetic polynucleotides poly(dG–dC) · poly(dG–dC) and poly(dG–m⁵dC) · poly(dG–m⁵dC) undergo a transition induced by small amounts of Ni⁺⁺ cation from a right-handed B-form to left-handed Z-type conformations. We describe the application of steady-state and transient electric birefringence to the characterization of the transition observed at very low ionic strength (10 mM Tris HCl, pH 7.4). Dialysis experiments show that the changes in spectroscopic and electro-optic properties upon addition of Ni⁺⁺ are completely reversible. The differences in shape of the inverted CD spectra suggest the existence of a family of left-handed conformations, depending on the polymer used and on the amounts of cation added. The stoichiometry required for inducing the Z-conformation of poly(dG–m⁵dC) is 1 cation/4 nucleotide phosphates. The transition is accompanied by a decrease in birefringence, an increase in length, and the more important contribution of a permanent or slowly induced dipole moment to the orientation mechanism. High concentrations of Ni⁺⁺ promote the Z → Z* transition. Upon increasing the Ni⁺⁺ concentration, poly(dG–dC) undergoes a biphasic transition, first to one intermediate conformation that is neither B- nor Z-like and then to a left-handed form that is probably different from Z*. These conversions are accompanied by regular decreases both in birefringence and in chain length, but no transient appears in the field-reversal experiments.     

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.     

Steady-state and transient electric birefringence of solutions of bent-rod macromolecules

We first calculate the steady-state birefringence, expressed in the form of specific Kerr constant, K_sp, of rigid, bent-rod macromolecules. Equations are derived for K_sp as a function of the geometric and electro-optical parameters. We also consider flexibly hinged rods and evaluate K_sp for them by averaging over the angle between the two arms, ?. Next, we turn to the time decay of the electric birefringence. The decay function for rigid bent rods is a sum of three exponential terms, and a procedure for their calculation is indicated. We observe that single-exponential decays can be found for ? > 90° or ? < 60°, in spite of the high electro-optical and hydrodynamic anisotropy of the macromolecule. Special attention is paid to the case of rods with equal arms.     

Doppelbrechung und Orientierungsrate der Leptonen fließenden Protoplasmas

Summary At defined speeds threads of protoplasm have been drawn out mechanically from a fusion of isolated gymnoplasts using an experimental arrangement described by Gerendás [3]. The polarization device, as well as the method of measuring the birefringence by means of a variable azimuth compensator of fixed retardation, viz. a rotating /30-mica plate, is the same as described formerly [7g-i. Then in dependence on the variable speeds of formation the protoplasmic threads show a different intensity of negative birefringence, and, what is more, it is found a distinct parallelism between birefringence, as an expression of the orientation rate of the leptones, and the speed of spinning. Always when a birefringent gel like protoplasm is put under tension, the intensity of its original birefringence or its orientation rate increases (and in the reverse order). It is to conclude that in order to analyse the leptonic structures in dependence on the effective forces, there is a great need for a quantitative approach to the anisotropy of protoplasmic constituents.     

Electro-optical properties of carboxymethylcellulose. I. Concentration and ionic strength dependence

The experimental conditions for studying the electro-optical properties of a natural, modified polyelectrolyte, carboxymethylcellulose (DS 1.3; DP 180) were determined. The transient Kerr effect was found to be a function of CMC concentration, field strength, and ionic strength, I. If the concentration and I were low enough (c < 20 mg.l^?1), saturation was obtained for field strengths of approximately 15 kV.cm^?1. The optical anisotropy was shown to be independent of I; the electrical anisotropy decreased sharply when I increased. These results are discussed in connection with polarization theories of polyelectrolytes. The molecular dimensions of carboxymethylcellulose, calculated from the birefringence kinetics, suggest that the molecule is a rigid rod.     

Transient electric birefringence study of highly dilute agarose solutions

In order to characterize the first step of agarose gelation, highly dilute solutions (2·10^?3 to 0.5 g/L) have been studied by means of the transient electric birefringence technique. The field-free decay curves of the birefringence are well described by a stretched-exponential B(t) ≈ exp(?t/τ)^β; the value of the exponent β is close to 0.5 whatever the agarose concentration. The suspended particles observed by electron microscopy present a rod-like shape with a constant diameter (～50 Å), without any branching; they are polydisperse with a distribution of lengths approximately exponential. The mean length of these fibers, deduced from their mean rotational diffusion coefficient, is proportional to the 0.37 power of the agarose concentration in the solution. Furthermore, these particles possess a strong permanent electrical dipole confirming the side-to-side arrangement of helices into bundles; this dipole is roughly proportional to the particle length, indicating a self-similarity in the unidirectional growth of the agarose fibers, even when approaching the gelling concentration.     

Reversing-pulse electric birefringence of poly(γ-benzyl-L-glutamate). III. The temperature dependence of the transient and steady-state behavior in cyclohexanone

The reversing-pulse electric birefringence (RPEB) technique was applied to the study of the temperature effect on the electrooptical and hydrodynamic properties of a fractionated [Glu(OBzl)]_n sample, which is molecularly dissolved in cyclohexanone. The aim was to develop a standard analytical method for thermal denaturation and temperature-induced conformational transitions. The field-on reverse and steady-state signal, and the field-off decay signal, were measured at 535 nm and at a constant low field strength (ca. 3 kV/cm) over a wide temperature range (5–90°C). The steady-state birefringence and the relaxation time in the decay process were also measured at two constant temperatures (5 and 70°C) over a wide field strength range (E ≤ 20 kV/cm). By the combination of these two different sets of RPEB measurements, the unwanted effect of the high pulse field on polymer conformation at elevated temperatures could be minimized. Together with the density and viscosity of cyclohexanone measured between 5 and 95°C, the following quantities could be evaluated: the weight-average permanent dipole moment and polarizability anisotropy, the reduced optical anisotropy factor (Δg/n), the weight-average length, and the degree of polydispersity. All these quantities, except for Δg/n, were found to be almost independent of temperature (5–90°C) and concentration (1.54–4.27 mM).     

Electric birefringence of native DNA in an alternating field

The relaxation of the birefringence of native DNA in solution was investigated in a pulsed sine-wave electric field. Relaxation times were calculated from the degree of damping of the birefringence signal and were studied as a function of the strength and frequency of the applied field, the molecular weight of the DNA, and the viscosity and ionic strength of the solvent. Relaxation times decrease with increasing field strength. For high-molecular weight DNA (>10⁶ daltons), the relaxation times decreased with frequency and increased less than linearly with viscosity. For low-molecular-weight DNA (<6 × 10⁵ daltons), the relaxation times were independent of frequency, increased linearly with viscosity, and varied with the 1.65 ± 0.1 power of the molecular weight. The average birefringence of high-molecular-weight DNA decreased with frequency in 0.001M Na₂ EDTA plus NaOH, pH 7.0, but is much less frequency-dependent if the EDTA concentration is reduced tenfold, while the average birefringence of sonicated DNA increases in both solvents with increasing frequency.     

Die Doppelbrechung der glatten Muskelfasern des Penisretraktors von Helix pomatia

Zusammenfassung Die Eigendoppelbrechung der glatten Muskelfasern des Penisretraktors der Schnecke Helix pomatia nimmt mit steigendem Faserdurchmesser ab. Bei konstanter Länge des Muskels und gleichbleibendem Faserdurchmesser wächst die Eigendoppelbrechung mit zunehmender Anzahl der Dehnungscyclen, die der Muskel vor der Fixierung durchlief.

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The birefringence of the smooth muscle fibers of the penis retractor muscle of Helix pomatia

Summary The intrinsic birefringence of smooth muscle fibers of the penis retractor muscle of the snail Helix pomatia decreases with increasing diameter of the fibers. At constant length of the muscle and at constant diameter of the fibers the intrinsic birefringence of the fibers increases with growing number of stretch-and-release cycles the muscle was treated with before fixation.

     

Revisiting polarimetry near the isotropic point of an optically active,non‐enantiomorphous,molecular crystal

Accurate polarimetric measurements of the optical activity of crystals along low symmetry directions are facilitated by isotropic points, frequencies where dispersion curves of eigenrays cross and the linear birefringence disappears. We report here the optical properties and structure of achiral, uniaxial (point group D_2d) potassium trihydrogen di‐(cis‐4‐cyclohexene‐1,2‐dicarboxylate) dihydrate, whose isotropic point was previously detected (S. A. Kim, C. Grieswatch, H. Küppers, Zeit. Krist. 1993; 208:219–222) and exploited for a singular measurement of optical activity normal to the optic axis. The crystal structure associated with the aforementioned study was never published. We report it here, confirming the space group assignment I c2, along with the frequency dependence of the fundamental optical properties and the constitutive tensors by fitting optical dispersion relations to measured Mueller matrix spectra. k‐Space maps of circular birefringence and of the Mueller matrix near the isotropic wavelength are measured and simulated. The signs of optical rotation are correlated with the absolute crystallographic directions.     

Orientational interactions in low-concentration DNA solutions

The rotational relaxation tiem τ₃ of DNA molecules (M_w ? 5 × 10⁶) in solution has been determined by the transient electric birefringence method. The analysis of the birefringence decay makes it possible to study only the higher-molecular-weight fraction, the molecules being considered as rigid elongated particles in a short time scale. A marked concentration dependence of the relaxation time has been observed for DNA in low ionic strengths. Above a critical concentration c*, τ₃ increases with the DNA concentration, c. The value of c* increases with the ionic strength. For 10^?3 ionic strength (with NaCl), c* is about 10 μg/mL; then we observe the same strong concentration dependence of rotational relaxation times as recently reported for rodlike M-13 viruses [Maguire, J. F., McTague, J. P. & Rondelez, F. (1980) Phys. Rev. Lett. 45 , 1891–1894]. These results may be discussed in terms of the Doi-Edwards theory for rotational relaxation time of rigid macromolecules [Doi, M. (1975) J. Phys. 36 , 607–611; Doi, M. & Edwards, S. F. (1978) J. Chem. Soc. Faraday Trans. 74 , 918–932] and the critical concentration above which the interactions between the molecules begin to appear allows determining the corresponding molecular length. We observe a very good agreement between the DNA lengths obtained from the c* values and by using the infinite dilution value of τ₃ and Broersma's equation. Therefore, only highly diluted solutions can be used if intrinsic molecular properties based on the rotational diffusion of high-molecular-weight elongated molecules are studied.     

Optical Kerr effect in biopolymer solutions

The electric field in a single mode, YAG laser beam has been used to induce orientational birefringence in solutions of tobacco rattle virus, DNA, heparin, and hyaluronic acid. Using this laser in its “fixed-Q” mode, laser pulses were generated which persisted for up to 200 μsec in which the effective electric field vector rose to 5 kV cm^?1. The birefringence amplitudes so produced had a quadratic dependence on the effective field strength and thus obeyed Kerr's law. From the birefringence decay rates, relaxation times were determined which, by comparison with the birefringence induced by pulsed static electric fields revealed the biopolymer orientational origins of the effects. This indicated how these experiments can lead to the evaluation of particle geometry, the electronic contribution to electrical polarizabilities, and the optical polarizability of biopolymers in solution.     

Kinetics of the spontaneous organization of microtubules in solution

Optically anisotropic zones occur spontaneously in solutions of microtubules. These tactoids, in which microtubules are arranged in parallel arrays, can be visualized by their birefringence. With microtubules assembled in the presence of associated proteins (MAPs), birefringence appears immediately after nucleation of polymerization, even at relatively low protein concentrations. It is not dependent on whether the assembly is initiated by temperature jump or by isothermal addition of GTP. With pure tubulin, assembled in buffers containing 25% glycerol or 4% dimethylsulfoxide and/or taxol, birefringence appears within a few hours, but it can be speeded up by gentle agitation. With tubulin assembled in the presence of MAPs, spontaneous orientation occurs simultaneously with polymerization. This may be due to the existence of more pronounced repulsive forces between microtubules when they are covered with MAPs. A simple calculation of the covolume, suggests that tactoid formation is expected for microtubules of lengths of 5 to 10 m at protein concentrations in the range 1 to 3 mg/ml (as observed), and that repulsive forces will promote tactoid formation at even lower protein concentrations. Offprint requests to: Y. Engelborghs