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.     

Preparation and solution properties of pullulan fractions as standard samples for water-soluble polymers

A series of pullulan fractions with molecular weights in the range 5 × 10³ to 8 × 10⁵ were prepared. The weight-average molecular weight (M_w) of all the samples was determined by sedimentation equilibrium. The hydrodynamic properties of pullulan in aqueous solution were investigated by viscometry and ultracentrifugation. The experimental results indicate that pullulan molecules in water are fairly stable and behave as expanded random coils when M_w is above 2 × 10⁴. The molecular weight distributions of the fractions were measured by gel filtration. The ratio M_w/M_n was close to 1·1, except for a sample with the highest M_w.It is concluded that the pullulan fractions prepared by the present work are well characterized and have a narrow molecular weight distribution. They may be useful as standard samples for studies of water-soluble polymers.     

The influence of rotor speed on the sedimentation behavior in sucrose gradients of high molecular weight DNA's

Anomalous sedimentation behavior has been observed for high molecular weight duplex DNA's in sucrose gradients. The sedimentation rate of DNA's having molecular weights of 10⁸ or higher is influenced by high centrifugal fields. The change in the sucrose sedimentation coefficient due to this effect, S^RPM_suc-S⁰_suc, is equal to 1 × 10^?48M^3.65( The anomalous behavior is not influenced by DNA concentration at sufficiently low concentrations. Because of the smallness of the coefficient this effect has not been previously detected for DNA's the size of T2 or smaller at rotor speeds below 40000 RPM. For example, the relative sedimentation coefficient of T2 DNA at 65 000 RPM is only 9% less than at 10000 RPM. However, the sedimentation profile of heterogeneous high molecular weight [(100 – 350) × 10⁶] E. coli DNA is severely altered even at moderate rotor speeds (37000 RPM). Therefore, it seems advisable to use low rotor speeds when sedimenting high molecular weight DNA's.     

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.     

Physicochemical studies on xylinan (acetan). III. Hydrodynamic characterization by analytical ultracentrifugation and dynamic light scattering

A laboratory-made sample of the polysaccharide xylinan (acetan) has been further characterized with respect to (i) purity, (ii) molar mass and polydispersity, and (iii) gross conformation by a combination of hydrodynamic measurements (sedimentation velocity and equilibrium analytical ultracentrifugation, viscometry, and dynamic light scattering) in aqueous NaCl (I = 0.10 mol·L⁻¹). Sedimentation velocity diagrams recorded using Schlieren optics revealed highly pure material sedimenting as a single boundary [s^o_20.w = 9.5 ± 0.7) S; k_s = (273 ± 112) mL/g]. The hypersharp nature of these boundaries is symptomatic of a polydisperse and highly nonideal (in the thermodynamic sense) system. Low speed sedimentation equilibrium in the analytical ultracentrifuge using Rayleigh interference optics and two different types of extrapolation procedure (involving point and whole-cell molar masses) gave a weight average molar mass M_w of (2.5 ± 0.5) × 10⁻⁶ g·mol⁻¹ and also a second virial coefficient, B = (2.8 ± 0.7) × 10⁻⁴ mL·mol·g⁻², both values in good agreement with those from light scattering-based procedures (Part II of this series). A dynamic Zimm plot from dynamic light scattering measurements gave a z-average translational diffusion coefficient D^o_20.w = (3.02 ± 0.05) × 10⁻⁸ cm²·s⁻¹ and the concentration-dependence parameter k_D = (370 ± 15) mL/g. Combination of s^o_20.w with D^o_20.w via the Svedberg equation gave another estimate for M_w of ≅ 2.4 × 10⁶ g/mol, again in good agreement. Both the Wales-van Holde ratio (k_s/[η]) ≅ 0.4 (with [η] = (760 ± 77) mL/g) and the ρ-parameter (ratio of the radius of gyration from static light scattering to the hydrodynamic radius from dynamic light scattering) as ρ > 2.0 all indicate an extended conformation for the macromolecules in solution. These findings, plus Rinde-type simulations of the sedimentation equilibrium data are all consistent with the interpretation in terms of a unimodal wormlike coil model performed earlier. © 1996 John Wiley & Sons, Inc.     

Light scattering and hydrodynamic properties of linear and circular bacteriophage lambda DNA

Low-angle light scattering, sedimentation velocity, and intrinsic viscosity measurements have been made on circular and linear forms of lambda (λ) bacteriophage DNA. Available equations, used to relate hydrodynamic parameters of both forms to the molecular weight, give relatively consistent values of particle weights which essentially agree with the light-scattering results. An average molecular weight of (34 ± 3) × 10⁶ for λ DNA was obtained in good agreement with literature values of (31–33) × 10⁶. The linear λ DNA has a larger root-mean-square radius than the circular molecule, when determined by light scattering, but the difference does not appear to be us large as expected from hydrodynamic data. The two forms also show significantly different angular distrbutions of scattered light intensities which agree only qualitatively with those derived from existing theory. The light-scattering results suggest that further experiments and modifications of available theories should be undertaken.     

Characterization of rodlike RNA fragments.

Native calf thymus DNA was sheared by sonication in a viscous solvent to the molecular-weight range from 3 × 10⁴ to 3 × 10⁵ daltons, and fractionated by gel chromatography. Number and weight average molecular weights (M?_n and M?_w) were determined for individual fractions by electron microscopy; the ratio M?_w/M?_n for the peak fraction is approximately 1.1. Sedimentation coefficients (s⁰_20,w) of these fractionated samples show an approximately linear dependence on the logarithm of the molecular weight M?_w. This behavior is that expected for rodlike molecules, and is in quantitative agreement with the theory of Yamakawa and Fujii [(1973) Macromolecules 6 , 407–415] for the sedimentation coefficient of a wormlike chain with a persistence length of 625 Å, a diameter of 25 Å, and a mass per unit length of 195 daltons/Å. It appears that the wormlike coil model, without excluded volume, can represent the sedimentation behavior of DNA over the entire conformational range from rigid rod to flexible coil, using the above parameters. Equilibrium melting curves were determined for various fractions in aqueous 2.4 M tetraethylammonium bromide. A substantial broadening of the transition and decrease of the melting temperature were observed with decreasing molecular weight. Empirical expressions have been obtained relating both the transition temperature and breadth in this solvent to molecular weight.     

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.     

Solvent‐dependent conformation of a regioselective amylose carbamate: Amylose‐2‐acetyl‐3,6‐bis(phenylcarbamate)

Six amylose‐2‐acetyl‐3,6‐bis(phenylcarbamate) (AAPC) samples ranging in weight‐average molar mass M_w from 1.8 × 10⁴ g mol^?1 to 1.1 × 10⁶ g mol^?1 have been prepared from enzymatically synthesized amylose samples. Static light scattering, small‐angle X‐ray scattering, sedimentation equilibrium, and viscosity measurements were made for the samples in 1,4‐dioxane (DIOX), 2‐ethoxyethanol (2EE), and 2‐butanone (MEK) all at 25°C to determine particle scattering functions, z‐average radii of gyration, intrinsic viscosities, as well as M_w. The data were analyzed in terms of the wormlike cylinder model mainly to yield the helix pitch per residue h and the Kuhn segment length λ^?1, which corresponds to twice of the persistence length. The latter parameters (λ^?1) in 2EE (11 nm) and MEK (12 nm) are quite smaller than those for amylose tris(phenylcarbamate) (ATPC) in the same solvent (16 nm in 2EE and 18 nm in MEK) whereas those for AAPC (21 nm) and ATPC (22 nm) in DIOX are essentially the same as each other. This indicates that the chain stiffness of AAPC is more strongly influenced by the solvents since the number of intramolecular H‐bonds of AAPC is more changeable than that for ATPC. © 2012 Wiley Periodicals, Inc. Biopolymers 97:1010–1017, 2012.     

Absolute molecular weight and molecular weight distribution of guar by size exclusion chromatography and low-angle laser light scattering

A procedure to determine the absolute weight-average molecular weight (M_w) and molecular weight distribution (MWD) of guar by aqueous size exclusion chromatography coupled with low angle laser scattering is described. It is shown that for a rigorously purified sample of guar solution the values for M_w and MWD are 2·2×10⁶ and 1·9 respectively. The effect of sample preparation and purification on these molecular parameters are discussed. Limitations and challenges in the aqueous size exclusion chromatography of complex water soluble polymers such as guar are also explored.     

Studies on the myosin molecule from smooth muscle

The myosin molecule was extracted from the smooth muscle parts of horse esophagus and purified by ammonium sulfate fractionation. The schlieren pattern of the sedimentation velocity run showed a very sharp single peak of.5.9. S (s_20,w). Molecular weight of the protein was measured by means of the Archibald and sedimentation equilibrium methods, both in 0.5M KCI buffered by 1/150 M phosphate at pH 7.5 and at 5°C. The values obtained were 6.25 × 10⁵ and 5.81 × 10⁵respectively, for the two methods. The second virial coefficients were 1.1 × 10⁴ and 1.2 × 10^?4 ml/g. Denatured smooth muscle myosin was prepared in a solution of 5M guanidine HC1 containing 0.4 M KC1 and 0.2 M β-mercaptoet hanol buffered at p^H 8.0. The weight-average molecular weight of the denatured smooth muscle myosin was 2.24 × 10⁵ and the second virial coefficient was 7.6 × 10^?4 ml/g. The values described above are in good agreement with those reported for rabbit skeletal myosin with ammonium sulfate fractionation. The molecular dimension of the molecule is estimated as the value for an axial ratio of 100, assuming a rigid rod molecular model for this molecule, both the thermodynamical and hydrodynamical treatment being in a good agreement with this estimation.     

Medium optimization, molecular characterization, and bioactivity of exopolysaccharides from Pleurotus eryngii

An optimal medium for exopolysaccharides (EPS) production was obtained through one-factor-at-a-time method and response surface methodology. Under optimal culture medium, the maximum EPS concentration in shake flask was 5.16 g/l. Two groups of EPSs (designated as Fr-I and Fr-II) were obtained from the culture filtrates by size exclusion chromatography/multiangle laser light scattering, and the weight average molar masses (M _w) of Fr-I and Fr-II were determined to be 4.098 × 10⁴ and 1.114 × 10⁴ g/mol, respectively. The molecular confirmation of Fr-I was revealed to be a rigid rod form in aqueous solution. Moreover, monosaccharide composition and characteristic groups were investigated by GC and Fourier transform infrared, respectively. Finally, pharmacology experiment in vitro indicated EPS Fr-II of Pleurotus eryngii exhibited higher antioxidant and antitumor abilities than Fr-I, which might be attributed to the different molecular weights and chemical compositions in the EPS fraction.     

The molecular structure and solution conformation of an acidic heteropolysaccharide from Auricularia auricula-judae

A water soluble acidic heteropolysaccharide named WAF was isolated from Auricularia auricula‐judae by extracting with 0.9% NaCl solution. By using gas chromatography, gas chromatography‐mass spectrometry, and NMR, its chemical structure was determined to be composed of a backbone of α‐(1→3)‐linked D ‐mannopyranose residues with pendant side groups of β‐D ‐xylose, β‐D ‐glucose, or β‐D ‐glucuronic acid at position O6 or O2. Six fractions prepared from WAF with a weight‐average molecular mass (M_w) between 5.9 × 10⁴ and 64.7 × 10⁴ g/mol were characterized with laser light scattering and viscometry in 0.1M NaCl at 25°C. The dependence of intrinsic viscosity ([η]) and radius of gyration (R_g) on M_w for this polysaccharide were found to be [η] = 1.79 × 10^?3M_w^0.96 cm³ g^?1 and R_g = 6.99 × 10^?2 M_w^0.54 nm. The molar mass per unit contour length (M_L) and the persistence length (L_p) were estimated to be 1124 nm^?1 and 11 nm, respectively. The WAF exhibited a semirigid character typical of linear polysaccharides. Molecular modeling was then used to predict the ordered and disordered states of WAF; the simulated M_L and L_p were however much smaller than the experimental values. Taken altogether, the results suggested that WAF formed a duplex in solution. © 2010 Wiley Periodicals, Inc. Biopolymers 95: 217–227, 2011.     

Low temperature solution behaviour of Methylophilus methylotrophus electron transferring flavoprotein: a study by analytical ultracentrifugation

The solution behaviour of electron transferring flavoprotein (ETF) from Methylophilus methylotrophus was investigated at low temperature (4 °C) by analytical ultracentrifugation. The concentration dependence of the apparent weight average molecular weight, M_w,app, established the existence of the protein in heterodimeric state (M = 63,700 Da), but also signified the possible dissociation of the heterodimer at lower concentrations into its constituent subunits (M = 28,900 Da and 33,700 Da, together with FAD and AMP cofactors of collective M = 1120 Da). This similarity in subunit size allows approximate quantification of the dissociation in terms of expressions for a monomer-dimer equilibrium. The dissociative behaviour was confirmed by determination of the point average molecular weight, M_w,app(r), as a function of the ETF concentration, c(r), throughout the sedimentation equilibrium distributions obtained with loading concentrations of 0.4 and 0.7 mg/ml. By means of the recently formulated ``psi' procedure for direct analysis of solute self-association a value of (1.5 ± 0.1) μM has been obtained for the dissociation constant K_d. Sedimentation velocity experiments yielded an estimate of the heterodimer sedimentation coefficient, s⁰ _20,w, of (4.5 ± 0.2) S which for M = 63,700 Da suggests a globular structure. Received: 29 November 1996 / Accepted: 2 December 1996     

Messenger ribonucleoprotein particles in unfertilized sea urchin eggs

The properties of poly(A)-containing messenger ribonucleoprotein particles (mRNPs) from unfertilized sea urchin eggs isolated under various ionic conditions were studied. Poly(A)-containing RNPs of eggs sediment with a modal value of 60–65 S under all conditions used. However, buoyant densities vary strikingly with conditions of particle preparation. Deproteinized poly(A)-containing mRNA has an average molecular weight of about 1 × 10⁶. RNPs prepared in 0.35 M Na⁺ in the absence of Mg²⁺ contain an average of 0.25 × 10⁶ daltons of protein, while particles prepared in 0.05 M Na⁺ in the absence of Mg²⁺ contain 0.35 to 11 × 10⁶ daltons of protein per RNA molecule. Particles prepared in 0.35 M Na⁺ plus 5 mM Mg²⁺ contain 1.4 × 10⁶ daltons of protein suggesting that Mg²⁺ may be necessary for maintenance of RNP intergrity if high Na⁺ concentrations are used to prevent nonspecific RNA-protein interactions. Particles prepared in 0.35 M K⁺ contain 0.9 × 10⁶ daltons of protein in both Mg²⁺ and EDTA. Mg²⁺ does not cause significant aggregation of particles, since the size of RNA extracted from RNPs is proportional to RNP sedimentation rate. Monovalent cation concentrations normally used in analysis of RNPs by sedimentation cause deproteinized poly(A)-containing RNA to sediment with abnormally high sedimentation coefficients, indicating that high sedimentation rates alone do not indicate that RNA is contained in an RNP.     

Sedimentation Rate as a Measure of Molecular Weight of DNA

Zone centrifugation of mixtures of two labeled DNA's at low concentrations in density gradients of sucrose permits accurate measurement of relative sedimentation rates. The individual rates are constant during the run. Measurements with DNA's from phages T2, T5, and lambda conform to the relation D₂/D₁ = (M₂/M₁)^0.35, where D and M refer to distances sedimented and molecular weights of the DNA pair. The results show that high molecular weight DNA's sediment artificially fast in the optical centrifuge, owing to a hitherto unknown effect of molecular interactions. The molecular weight of lambda DNA is 31 million, measured either from sedimentation rate or from tests of fragility under shear.     

Heterogeneity of mitochondrial DNA from Saccharomyces carlsbergensis: renaturation and sedimentation studies

The renaturation kinetics of mitochondrial DNA from the yeast Saccharomyces carlsbergensis have been studied at different temperatures and molecular weights. At renaturation temperatures 25 deg. C below the mean denaturation temperature (T_m) in 1 M-sodium chloride the renaturation rate constant is found to decrease with increasing molecular weight of the reacting strands. This unusual molecular weight dependency gradually disappears with an increase in the renaturation temperature. At a temperature 10 deg. C below the melting point, the rate constant shows the normally expected increase with the square root of the molecular weight. From the renaturation data at this temperature, the molecular weight of the mitochondrial genome is estimated to be about 5·0 × 10⁷. The same size of genome was found from renaturation at low molecular weight and 25 deg. C below the T_m.The sedimentation properties of denatured mitochondrial DNA at pH values 7·0 to 12·5 were used to study the conformation of this DNA in 1 M-sodium chloride. The results obtained support the conclusion from the renaturation studies: that the pieces of denatured mitochondrial DNA with a molecular weight above 2 × 10⁵ to 3 × 10⁵, in 1 M-sodium chloride at 25 deg. C below the mean denaturation temperature are not fully extended random coils. Presumably, interaction between adenine and thymine-rich sequences, which are clustered at certain distances within the molecules, is the molecular basis for these observations.