Molecular weight of T7 and calf thymus DNA by low-angle light scattering

A low-angle light-scattering instrument has been used to measure molecular weights of native calf-thymus and T7 DNA. Molecular weights obtained by extrapolation of angular data to 0° from measurements above 30° are less than molecular weights from extrapolation of data taken at low angles (below 30°). The low-angle molecular weights determined for calf-thymus DNA and for T7 DNA agree well with estimates of weight-average molecular weight obtained with other techniques. The low-angle light-scattering molecular weight for calf-thymus DNA is higher than previously reported values by light scattering at angles above 30°. A concentration dependence in the scattering from DNA solutions is also observed.     

The flexibility of low molecular weight double-stranded dna as a function of length: I. Isolation and physical characterization of seven fractions

Sonicated calf thymus DNA was fractionated by rate zonal centrifugation into seven fractions with weight average molecular weights ranging from 0.28 to 1.3 × 10⁶ daltons, as determined by sedimentation equilibrium and light scattering measurements (the latter are described in the accompanying paper). Electron microscopy and sedimentation equilibrium analysis revealed these fractions to be narrowly disperse with M_w/M_n ratios averaging about 1.06. Intrinsic viscosities and sedimentation rates were measured and found to vary linearly with molecular weight in double-logarithmic plots in fair agreement with previously published functions relating these parameters for low molecular weight DNA. The average value for β from the Mandelkern— Flory equation was 2.59 × l0⁶, also agreeing with reported estimates of this parameter for short DNA. These data will be used in the second paper of this series to calculate the persistence length of the DNA fragments in each of the seven fractions by light scattering and hydrodynamic theories for the Kratky—Porod worm-like coil.     

Dimers of escherichia coli F' factors

Covalently closed circular DNA dimers of several $\text{E.}$$\text{coli}$ sex factors have been isolated. One of these, F′451, a dimer of F′450, has a molecular weight of $\text{ca.}$ 230 × 10⁶ daltons. F′451 (λ) containing a λ prophage has a molecular weight of 260 × 10⁶ and is probably the largest covalent closed circle of DNA yet reported. These dimers arise spontaneously and are of unknown origin and significance.     

Analysis of low angle light scattering results from T7 DNA

Selected light scattering data, obtained in earlier studies on T7 DNA in 0.195 M Na⁺, are analyzed by comparison with calculations from the theory of wormlike coils, both with and without excluded volume effects. The results confirm the conclusion from an earlier criticism, that linear extrapolations of data from the 10° to 20° angular range give incorrect values for the limiting molecular weight, M_T, and for the limiting root-mean-square radius, R_T. Further, it is shown that the excluded volume parameter, ?, must be used to provide a proper fit of calculated curves to experimental data. The revised analysis gives the following parameters for T7 DNA: M_T = 25.5 × 10⁶ ;R_T= 587 nm; ? = 0.08; and the statistical segment length, 1/λ = 120 nm. These parameters agree well with other values in the literature. The method of analysis, therefore, provides reliable results from light scattering data on high-molecular-weight, native DNA.     

Light scattering from wormlike chains with excluded volume effects

This paper reports a calculation of the angular dependence of light scattering from wormlike chains with excluded volume effects. The Daniels distribution function, modified for excluded volume effects, is used to compute averages for scattering elements separated by contour lengths which are long with respect to the persistence length of the chain. An expansion in terms of exactly known moments of the distribution for the wormlike coil without excluded volume is used for short contour lengths. The results are applied to scattering from calf thymus (M = 18.1 × 10⁶) and T7 (M = 25.4 × 10⁶) DNA. It is demonstrated that the same values of excluded volume parameter (ε = 0.11) and statistical segment length (1/λ′ = 900 Å) which explain the sedimentation and viscosity behavior of DNA also account satisfactorily for the scattering behavior. Molecular weights and root-mean-square radii estimated by extrapolation from scattering data obtained in the angular region from 10° to 25° will be 5–10% too large for DNA of molecular weight 20 × 10⁶–30 × 10⁶.     

Characterization of acid-denatured DNA by low-angle light scattering

Low-angle light scattering results reported previously demonstrated that measurements on high molecular weight native DNA must be made at angles below 30° in order to obtain correct molecular weights. Earlier light-scattering data obtained on denaturated DNA at angles above 30° showed no change in molecular weight upon denaturation, even though other techniques clearly showed that strand separation occurred. This paper reports low-angle measurements on solutions of calf thymus and T7 DNA denatured under acidic conditions. The results demonstrate that a halving of molecular weight consistent with strand separation is detected by light scattering only when low-angle data are used to obtain correct molecular weights for native material. As expected from theoretical considerations, the scattering from denatured DNA is a linear function of sin²(θ/2), where θ is the angle of observation. This result shows that anticipated experimental artifacts have no significant effect on the low-angle measurements and demonstrates that the curvature in the scattering envelope observed for native DNA below 30° is an inherent property of the native molecule.     

Light scattering studies of supercoiled and nicked DNA

Static and dynamic light scattering measurements were made of solutions of pGem1a plasmids (3730 base pairs) in the relaxed circular (nicked) and supercoiled forms. The static structure factor and the spectrum of decay modes in the autocorrelation function were examined in order to determine the salient differences between the behaviors of nicked DNA and supercoiled DNA. The concentrations studied are within the dilute regime, which is to say that the structure and dynamics of an isolated DNA molecule were probed. Static light scattering measurements yielded estimates for the molecular weight M, second virial coefficient A₂, and radius of gyration R_G. For the nicked DNA, M = (2.8 ± 0.4) × 10⁶g/mol, A₂ = (0.9 ± 0.2) × 10⁻³ mol cm³/g², and R_G = 90 ± 3 nm were obtained. For the supercoiled DNA, M = (2.5 ± 0.4) × 10⁶ g/mol, A₂ = (1.2 ± 0.2) × 10⁻³ mol cm³/g², and R_G = 82 ± 2.5 nm were obtained. The static structure factors for the nicked and supercoiled DNA were found to superpose when they were scaled by the radius of gyration. The intrinsic stiffness of DNA was evident in the static light scattering data. Homodyne intensity autocorrelation functions were collected for both DNAs at several angles, or scattering vectors. At the smallest scattering vectors the probe size was comparable to the longest intramolecular distance, while at the largest scattering vectors the probe size was smaller than the persistence length of the DNA. Values of the self-diffusion coefficients D were obtained from the low-angle data. For the nicked DNA, D = (2.9 ± 0.3) × 10⁻⁸ cm²/s, and for the supercoiled DNA, D = (4.11 ± 0.21) × 10⁻⁸ cm²/s. The contribution to the correlation function from the internal dynamics of the DNA was seen to result in a strictly bimodal decay function. The rates of the faster mode Γ_int, reached plateau values at low angles. For the nicked DNA, Γ_int = 2500 ± 500 s⁻¹, and for the supercoiled DNA, Γ_int = 5000 ± 500 s⁻¹. These rates correspond to the slowest internal relaxation modes of the DNAs. The dependence of the relaxation rates on scattering vector was monitored with the aid of cumulants analysis and compared with theoretical predictions for the semiflexible ring molecule. The internal mode rates and the dependence of the cumulants moments reflected the difference between the nicked DNA and the supercoiled DNA dynamical behavior. The supercoiled DNA behavior seen here indicates that conformational dynamics might play a larger role in DNA behavior than is suggested by the notion of a branched interwound structure. © 1996 John Wiley & Sons, Inc.     

A freeze-squeeze method for recovering long DNA from agarose gels

Long DNA can be recovered from agarose gels after electrophoresis by freezing the gel slices and manually squeezing out liquid containing the DNA. With this method the recoveries of phage T₇ DNA (molecular weight 25 × 10⁶) and the open and closed forms of circular phage PM2 DNA (molecular weight 6 × 10⁶) were about 70%. Sedimentation analysis shows that the extruded DNA has not sustained double- or single-stranded breaks. The extruded DNA can be used without further purification as substrate for the restriction endonuclease Hind_II,III, from Hemophilus influenzae, for DNA·DNA hybridization and for electron microscopy.     

The flexibility of low molecular weight double-stranded dna as a function of length: II. Light scattering measurements and the estimation of persistence lengths from light scattering,sedimentation and viscosity

In the preceding paper are described the isolation and physical characterization of seven narrowly disperse fractions of calf thymus DNA in the molecular weight range 0.3 to 1.3 × 10⁶ daltons. Herein, we have determined by light scattering the molecular weights and root mean square radii of these fractions in a solvent comprising 0.2 M NaCl, 2 mM EDTA, 2m MNa-PO₄, pH 7. Measurements were made in a modified Wippler—Scheibling photometer to a 20° lower limit of scattering angle on solutions rendered virtually dust-free by procedures described. The optical aniso tropics of the DNA fractions were measured permitting the experimental molecular weights and root mean square radii to be corrected to their true values. From these values, with appropriate polydispersity corrections, we calculate a Kratky—Porod persistence length, a, of 54.0 ± 5.6 nm which is invariant over the molecular weight range examined. From the sedimentation coefficients (preceding paper) and the theory of Yamakawa and Fujii, we calculate a to be 66 nm, a value found to apply equally well to several DNA samples of various origins whose sedimentation rates are known in the molecular weight range from about 4 × 10⁴ to 10⁸ daltons. Similarly, from the intrinsic viscosities and the theory of Yamakawa and Fujii, we calculate a to be 59 nm, which again adequately applies to a number of DNA samples whose viscosities have been measured by other workers in the molecular weight range 3 × 10⁵ to 10⁸ daltons. The Flory—Mandelkern parameter, β, was found to vary with molecular weight in the manner predicted by the theory of Yamakawa and Fujii. The average value of a from the three sets of measurements is 60 ± 6 nm, which we believe applies to double-stranded DNA molecules, independent of chain length, over the whole range of molecular weights for which reliable data exist.     

Dilute solution properties of proteoglycan fractions from bovine nasal cartilage

Fresh proteogycans (adult bovine nasal cartilage) isolated from the densest portion of a dissociative density gradient had a weight-average molecular weight of ca. 10⁶ in 4M guanidine hydrochloride (GdnHCI) by light scattering. Fractions of such material obtained by elution with 4M GdnHCI from 2% agarose gel, both normal and cross-linkd, has proteoglycan subunit molecular weights ranging from 0.8 to 2.6 × 10⁶ and root-mean-square radii ranging from 35 to 52 nm in the same solvent. The protein molecular weight per proteoglycan subunit was about 1.2 × 10⁵ and that of keratan sulfate about 1.8 × 10⁵, both independent of total molecular weight. A random-flight “graft copolymer” model having uniform side chains of chondroitin sulfate (40 disaccharides) and keratan sulfate (15 disaccharides) and a random-coil polypeptide back bone was used to estimate the unperturbed radius, whihc was about 19 nm for a mol wt of 1.5 × 10⁶. Experimental light-scattering data for fractions were fitted very well by theoretical curves for the particale scattering factor for both linear and appropriate branched polymers. Examination of coil expansion on the basis of perturbation calculations for branched polymer models suggested that expansion did not account for the experimentally observed radii in terms of unperturbed radii calculated from the model. A possible explanation is that substantial local stiffening of the polypeptide chain due to substitution of side-chain clusters increases the unperturbed radii. The intrinsic viscosity [η] is 4M GdnHCI ranged from 120 to 180 ml/g, and could be interpreted in terms of th eequivalent sphere model; the Flory number has approximately its normal value for flexible linear polymers. The treatment of the sedimentation coefficient by this is less successful, since the Man delkern-Flory parameter β apparently increases with increasing molecular weight; average value are similar to those for flexible polymers, but the variation in β makes this method useful only for rough estimation of molecular weight of proteoglycans. Molecular weights of purified proteoglycans are the same in 0.2M NaCI as in 4M GdnHCI, while crude preparations gave higher molecular weights in 0.2M NaCI, probably because of association due to incomplete removel of “linking” proteins.     

Very low-angle light scattering. A characterization method for high-molecular-weight DNA

A very low-angle light-scattering photometer is described with respect to optical features, scattering cell, correction factors, and absolute calibration in the angular range 2°–35°. An improved microfiltration apparatus was used to obtain essentially dust-free aqueous solutions for very low-angle light scattering. The instrument was calibrated with silicotungstic acid, an absolute molecular-weight standard, and the calibration was confirmed with the use of several secondary standards. Very low-angle light-scattering measurements were made to determine the weight-average molecular weight M?_r and z-average radius of gyration R_g,z of a commerical preparation of calf-thymus DNA. Microfiltration of the solutions allowed measurements down to 6°. The value M?_r = 20.0 × 10⁶ obtained by extrapolating 6°–9° data to 0° is more than three times that from 30°–75° data (6.38 × 10⁶) but ～20% smaller than that from 10–35° data (23.7 × 10⁶). The experimental errors in M?_r and R_g,z are estimated to be ±8% and ±14%, respectively. Combined 6°–75° data from two photometers fit well a theoretical scattering curve for a model wormlike coil of the same M?_r as the DNA sample.     

The optical birefringence of DNA solutions induced by oscillatory electric and hydrodynamic fields

The optical birefringence induced in DNA solutions by both oscillating hydrodynamic fields (flow birefringence) and oscillating electric fields (Kerr effect) is measured over a wide frequency range. The observed frequency response of the birefrigence is compared with theories for rigid ellipsoidal particles and for Gaussian chains. DNA at 6 × 10⁵ molecular weight is found to exhibit rigid particle hydrodynamic behavior, while DNA at 5 × 10⁶ molecular weight behaves like a flexible chain. Characterization of the hydrodynamic relaxation spectra for the DNA's by oscillatory flow birefringence allows precise comparison between theory and the experimental Kerr effect response. The dielectric model for DNA contains both permanent and dispersionless induced dipole moments. The dielectric behavior of DNA has the character of a permanent dipole but with anomalous low-frequency dispersion in the Kerr effect. The existing theories do not adequately describe this dispersion. A fluctuation dipole mechanism with relaxation times comparable to those associated with the hydrodynamic motion could possibly demonstrate the observed polar behavior.     

Stages of bacteriophage lambda head morphogenesis: physical analysis of particles in solution

Intermediates in the morphogenesis of bacteriophage lambda are characterized in solution by classical light-scattering, using a modified version of the Zimm plot procedure, by quasi-elastic light-scattering and analytical ultracentrifugation. Partial specific volumes are determined simultaneously with molecular weights by a variant of the conventional combination of sedimentation and diffusion constants. Our measurements were performed within a short time and allowed the characterisation of metastable intermediates.Comparison of hydration of DNA-containing and empty heads shows that dehydration plays a minor role in the stabilisation of the DNA within the heads. The molecular weight of the scaffolding protein is 4 × 10⁶, about twice the value estimated so far. Enlargement of preheads (21% and 13% increase in dry and hydrodynamic radius, respectively) leaves the molecular weight unchanged, whereas the volume of hydration water increases from 70% to 90% of the total hydrodynamic volume. Addition of protein pD to the enlarged preheads leads to a further increase in the radius, indicating that pD is attached to the outside of the protein shell.In order to determine simultaneously the molecular weight and the partial specific volume of large and sometimes labile structures, such as a virus, the conventional sedimentation-diffusion method is modified by measuring sedimentation and diffusion coefficients in buffers containing different amounts of ²H₂O. If diffusion coefficients are determined by quasi-elastic light-scattering, experiments can be performed in a few hours. In addition, the method allows a check on the sample for changes in the frictional coefficient due, for instance, to DNA abortively ejected from a virus preparation. This method is described in the Appendix.     

Homology of plasmids in strains of unicellular Cyanobacteria.

Six strains of unicellular cyanobacteria were examined for the presence of plasmids. Analysis of lysates of these strains by CsCl-ethidium bromide density centrifugation yielded a major chromosomal DNA band and a minor band containing covalently closed circular plasmid DNA, as shown by electron microscopy and agarose gel electrophoresis. The sizes of the various plasmid species were determined; in each of the Synechococcus strains 6301, 6707, and 6908 two plasmid species were found with molecular weights of 5.3 × 10⁶ and 32.7 × 10⁶. Synechococcus strain 7425 had two plasmids of molecular weight 5.4 × 10⁶ and 24 × 10⁶. Synechococcus strain 6312 and Synechocystis strain 7005 each contained one plasmid species with molecular weight of 15.9 × 10⁶ and 2.0 × 10⁶, respectively. Restriction enzyme analysis revealed identical cleavage patterns for the plasmids of identical molecular weight.     

Flow dichroism of deoxyribonucleic acid solutions

The flow dichroism of dilute DNA solutions (A₂₆₀ ≈ 0.1) has been studied in a Couette-type apparatus with the outer cylinder rotating and with the light path parallel to the cylinder axis. Shear gradients in the range of 5–160 sec.^?1 were studied. The DNA samples were whole, “half,” and “quarter” molecules of T4 bacteriophage DNA, and linear and circular λb₂b₅c, DNA. For the linear molecules, the fractional flow dichroism is a linear function of molecular weight. The dichroism for linear λ DNA is about 1.8 that of the circular molecule. For a given DNA, the dichroism is an approximately linear function of shear gradient, but with a slight upward curvature at low values of G, and some trend toward saturation at larger values of G. The fractional dichroism increases as the supporting electrolyte concentration decreases.     

Photon correlation spectroscopy, total intensity light scattering with laser radiation, and hydrodynamic studies of a well fractionated DNA sample.

A Malvern laser light-scattering instrument has been modified for use at scattering angles down to 5° and both total intensity and quasi-elastic scattering experiments. A sample of sheared, length-fractionated calf-thymus DNA was characterized by sedimentation, viscosity and electron microscopy. Quasi-elastic scattering and absolute intensity determinations were performed with the laser instrument and intensity determinations only with a Fica conventional light-scattering photometer. The total intensity experiments gave M?_w = (3.75 ± 0.15) × 10⁶ and 〈R²〉^1/2_z = (206.9 ± 10.3) nm which yielded a value for the persistence length, allowing for polydispersity, of 66 ± 6nm. The quasi-elastic experiments at scattering angles below 20° gave D⁰_{20, w} = (2.23 ± 0.06) × 10^?8 cm²/sec which combined with S⁰_{20, w} = 15.6 in the Svedberg equation gave M?_w = (3.73 ± 0.18) × 10⁶. In addition, from the higher angle data we extracted a value of the longest intramolecular relaxation time, τ1 of 17.5 msec. This is not in particularly good agreement with τ1 predicted by the Zimm–Rouse theory using our other experimental parameters. The disagreement may be due to the restricted applicability of the Zimm–Rouse spring-bead model as a quantitative representation of DNA molecules. Alternatively, it may be due to present difficulties in the unambiguous interpretation of molecular motions from the experimental autocorrelation functions.     

DNA-Protein Complex in Circular DNA from Phage ϕ29

THE DNA of the B. subtilis phage ?29 has been described as unpermuted linear duplex molecules¹ of molecular weight 11 × 10⁶, but the formation of circular molecules has also been indicated, suggesting the existence of cohesive ends^1,2.     

Fractionation and molecular weight determination of deoxyribonucleic acid fragments using agarose column chromatography

DNA fragments of several sizes have been produced by shearing E. coli DNA under different pressures. These fragments have been used to demonstrate that column chromatography on agarose Bio-Gel A-15M can provide a rapid, inexpensive fractionation and sizing method for single-stranded nucleic acids having masses between 10⁵ and 10⁶ daltons. Both chromatographic and electrophoretic analysis of the sheared DNA indicated that discrete fragment populations were produced at each shearing pressure and that these fragments were distributed essentially symmetrically around a mean piece size. The average molecular weight of the several DNA fragment distributions was determined electrophoretically by comparison with standard DNA fragments obtained from restriction endonuclease cleavage of SV40 viral DNA. The molecular weights of the denatured, sheared fragments (single-stranded) ranged from 1.25 × 10⁵ to 7.4 × 10⁵. The single-stranded DNA fragments were chromatographed over agarose Bio-Gel A-15M and a linear relationship was found to exist between the mobilities and logarithms of the molecular weights. Readily available tRNA, 5s RNA, and φX174 single-stranded circular DNA chromatographed at the extremes of the linear relationship and could be used to calibrate the column chromatography.     

DNA conformation in N,N-dimethyl formamide-H2O solutions

Optical density, viscosity, and light scattering measurements for calf thymus DNA in water–N,N dimethyl formamide (DMF) solutions are presented. DMF content varied between 0 and 60% (v/v) and DNA molecular weight varied between 15 × 10⁶ and 0.5 × 10⁶. Complementary measurements of the solubility of adenine, thymine, guanine, and cytosine in H₂O–DMF mixtures are presented. The denaturation temperature of DNA, manifested by about a 35% increase of optical density, is gradually depressed by increasing DMF content. However, a significant increase of OD occurs even before (and even after) the denaturation point, when DMF content is increased isothermally. The intrinsic viscosity also exhibits a large decrease when DMF content is increased both before and after the denaturation point. Light scattering data for high-molecular-weight DNA in the predenaturation range indicate a decrease of the mean-square radius and a constant molecular weight on increasing DMF content. The results, interpreted in terms of the wormlike chain of Kratky and Porod, indicate a large decrease of the persistence length of DNA. For low-molecular-weight DNA, radius and molecular weight increase with DMF content, indicating intermolecular aggregation. The formation of compact structures of native DNA is discussed in terms of an increased solubility of uncharged bases, and a decreased solubility of phosphate and deoxyribose groups, when a less polar environment is provided by the addition of DMF.