Rapid characterization of protein molecular weights and hydrodynamic structures by quasielastic laser-light scattering

Two methods for the characterization of protein molecular weights from their diffusion coefficients are discussed. These measurements can be made quickly and reliably at low concentrations using quasielastic light-scattering techniques. First, an empirical calibration of the diffusion coefficient at infinite dilution of denatured random coils against molecular weight is reported. The second method combines the measurement of D₀ with the intrinsic viscosity [η]. This D₀–[η] relationship proves to be very insensitive to polymers structure or solvent type. The data indicate that the ratio of the hydrodynamic radius measured by viscosity to the hydrodynamic radius measured by diffusion is about 15% smaller than that predicted by theoretical models. The nature of the molecular-weight average obtained for polydisperse systems is defined for a Schulz distribution. These hydrodynamic methods have also been used to demonstrate the presence of chain branching in the glycoprotein ovomucoid. In addition, a method is proposed by which the effective segment length and an excluded volume parameter for random coils may be evaluated for diffusion measurements.     

A method for measuring sedimentation and diffusion of macromolecules in capillary tubes by total intensity and quasi-elastic light-scattering techniques.

Light scattered from a macromolecular solution in a capillary tube is used to determine both the sedimentation and translational diffusion coefficients. The capillary tube is spun in a preparative centrifuge, removed, and placed in a light-scattering photometer equipped with a scanning mechanism. The intensity distribution of scattered light along the tube represents the concentration profile in the tube and provides the measure of boundary migration. The sedimentation coefficient is determined from this measure and the applied centrifugal field. The diffusion coefficient is obtained from a time-autocorrelation analysis of fluctuations in intensity of light scattered from any fixed point of the profile. These coefficients were obtained for two monodisperse systems, R17 bacteriophage and 28s ribosomal rat liver RNA. The molecular weights obtained from ratios of these coefficients are in good agreement with literature values. In the sedimentation analysis, deviations from linearity between boundary displacement and applied field were found to be less than 1%. This precision confirms that the boundary is stable for the capillary geometry even in the absence of a preformed density gradient. The sedimentation coefficients of identical samples were also measured with the Spinco Model E analytical ultracentrifuge; results of the two methods agree to within 4%. As a consequence of the capillary tube geometry and light-scattering detection, sedimentation coefficients can be obtained from sample volumes of less than 100 μl. This detection techniques is thus far demonstrated to be at least an order of magnitude more sensitive than Schlieren optics, thereby useful when uv absorption is not applicable. For diffusion measurements there are also several inherent advantages. The diffusion coefficient is obtained from the identical sample, and scanning provides the capability to measure D from various parts of the sedimentation profiles and thereby directly explore concentration dependence, homogeneity, and integrity of the sample. The capillary tube with a layer of silicone oil over the sample and centrifugation provides an effective method to cleanse the solution and trap all dust.     

Diffusion of DNA at very low concentrations

The diffusion behavior of DNA samples of molecular weights between 1 × 10⁶ and 25 × 10⁶ Daltons was investigated under standard conditions at mean concentrations c? between 0.0009 and 0.017 g/dl. Special techniques described previously were used and supplemented. The sensitivity required was accomplished by multiple passage through the sample cells (effective path length of 10–45 cm) and application of the Gouy interference method. The maximum DNA refraction index difference has been determined more precisely from Gouy interference fringes by applying a systematic variation procedure and a linear-plot criterion. Convection was prevented by a temperature constancy better than 0.002°C/day, vibrationless operation, and by application of a slight density gradient of heavy water, which also improved the boundary-forming procedure. The corresponding optical HDO gradient was compensated. The concentration dependence of the DNA diffusion coefficient average D_A was found to be positive and very small at extremely low concentrations, that is, below c? = 0.008 g/dl, for the sample of highest molecular weight investigated. With beginning penetration of different DNA molecules, D_A increases markedly. The diffusion constant averages of our polydisperse samples will be corrected for monodisperse subfractions in a following paper. The resulting molecular weights M from diffusion and sedimentation constants (D⁰, s⁰) together with data from literature are the basis of new s⁰–M, D⁰ ? M, and [η]–M relations for monodisperse DNA samples.     

Studies on Transformations of Hemophilus influenzae : II. The molecular weight of transforming DNA by sedimentation and diffusion measurements

The sedimentation and diffusion coefficients have been determined for Hemophilus influenzae transforming activity and DNA using P³²-labeled DNA. The methods employed the Spinco fixed boundary separation cell for measurements of the sedimentation coefficient and the Northrop-Anson diffusion cell to determine the diffusion coefficient. There was a very close correlation between the amount of DNA and transforming activity sedimented or diffused. The sedimentation coefficient (s_20°), for both biological activity and DNA was 27 and the diffusion coefficient (D_20°) 1 x 10^-8 cm²/sec. The molecular weight calculated from these coefficients gave a value of 16 million. There was no difference in the sedimentation coefficients for the two unlinked markers, streptomycin and erythromycin resistance, and the diffusion coefficients for single markers or the linked markers, streptomycin and cathomycin, were the same.     

Hydrodynamic properties of proteoglycan subunit from bovine nasal cartilage. Self-association behavior and interaction with hyaluronate studied by laser light scattering

Measurements of translational diffusion coefficients by quasielastic laser light scattering, sedimentation coefficients, and intrinsic viscosities at zero shear of proteoglycan subunit fraction A1-D1-D1 isolated from bovine nasal septa are reported. Molecular weights and hydrodynamic dimensions are compared with those expected on the basis of structural models previously proposed. Comparison of the concentration dependence of the diffusion coefficient in the presence of NaCl and GdnHCl leads to the conclusion that significant self-association behaviour of subunit occurs in the absence of GdnHCl. In the absence of added salt, anomalous nonlinear concentration dependence of D_t estimated from wide-angle light-scattering experiments is observed. In addition, D_t apparently becomes angle dependent. These results are interpreted in terms of the perturbation of normal translational diffusion of the monomer by strong repulsive intermolecular interactions due to the combined effects of long-range electrostatic forces and macromolecular congestion at higher concentrations. By carrying out experiments at small scattering angles, it is possible to determine D for proteoglycan subunit in the absence of supporting electrolyte. Titration of a dilute solution of subunit with hyaluronic acid results in a sigmoidal behaviour of the Stokes radius, indicating the formation of complexes of higher molecular weight results from the noncovalent association of proteoglycan subunits with hyaluronate. Observation of D_t appears to provide a useful method for studying the proteoglycan subunit–hyaluronate interactions.     

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.     

Identification and characterization of intrinsic factor and cobalophilin from pig ileal and pyloric mucosa

Pig ileal mucosa was found to bind about 240 ng vitamin B₁₂/g and to contain two vitamin B₁₂-binding proteins. One was highly active in the Schilling test, behaved immunologically as intrinsic factor and was responsible for about half of the total vitamin B₁₂-binding capacity. The other binder was identified as cobalophilin (R-protein). Immunochemical purification of these proteins from pig ileum and pylorus was performed and the molecular characteristics (sedimentation and diffusion coefficients, Strokes radii, frictional ratios and molecular weights) of their vitamin B₁₂ complexes were estimated. Isoelectric focusing revealed differences between the ileal and pyloric intrinsic factors but not between the cobalophilins. The mean isoelectric points of the pyloric and ileal intrinsic factors were pH 5.79 and 5.30, respectively, whereas the corresponding figures for the cobalophilins were 4.13 and 4.10.     

An assessment of some molecular parameters of mevalonate kinase from plant and animal sources

The molecular weights, diffusion coefficients, and sedimentation coefficients of mevalonate kinase in partially purified preparations from Hevea brasiliensis latex, Cucumis melo cotyledons, Phaseolus vulgaris cotyledons, bakers yeast, chicken liver, and rabbit liver have been determined by gel filtration in Sephadex G-100 and G-200 and by sucrose density gradient centrifugation. The enzyme had similar molecular weights (94800–103500), diffusion coefficients (5.39–5.62 × 10^?7 cm²/sec), and sedimentation coefficients (5.85–6.00 S) in the six preparations.     

Studies on Sugar-isomerizing Enzyme Purification,Crystallization and Some Properties of Glucose Isomerase from Streptomyces sp.

Glucose isomerase was purified by means of acetone fractionation, DEAE-cellulose column chromatography, DEAE-Sephadex column chromatography and crystallization. The purified enzyme appeared to be homogeneous on ultracentrifugation and electrophoresis. The sedimentation coefficient, s_20,w, the diffusion coefficient, D_20,w, and partial specific volume of the enzyme were 8.0S, 4 × 10^?7cm²/sec and 0.69 ml/g, respectively. The molecular weight of the enzyme was estimated to be 157,000 from the sedimentation and diffusion measurements. The crystalline glucose isomerase contained cobalt and magnesium ions. The properties of the enzyme were also studied.     

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.     

Structural analysis of galactomannans by NMR spectroscopy

The structure of naturally occurring galactomannans was characterized by high resolution NMR spectroscopy involving two-dimensional (2D) NMR measurements of the field gradient DQF-COSY, HMQC, HMBC, and ROESY experiments. Four galactomannans with different proportions of galactose (G) and mannose (M), from fenugreek gum (FG), guar gum (GG), tara gum (TG), and locust bean gum (LG), were investigated. Because these galactomannans had very high molecular weights, hydrolysis by dilute H₂SO₄ was carried out to give the corresponding low molecular weight galactomannans, the structural identities of which were established by comparison of the specific rotations, shape of the GPC profiles, and NMR spectra with those of higher molecular weight galactomannans. The correlation signals GH1-GC4, -GC5, and -MC6 in HMBC and GH1-GH6 in ROESY spectra of FG showed that more than two galactopyranose units with the 1 → 4 linkage were connected at C6 of the mannopyranose main chain. The coupling constant (J_H1,2) of galactose was 3.4 Hz, indicating that galactose has an α-linkage. The main chain mannose was found to connect through the 1 → 4 linkage, because of the appearance of the correlation signals MH1-MC4, and MC1-MH4 in the HMBC spectrum due to the long-range correlation signals between two neighboring mannopyranose residues through the M4-O-M1 bond. Although the main chain mannose J_H1,2 was not observed, probably because of the high molecular weight, the specific rotation of LG with a higher proportion of mannose was low, [α]_D²⁵ = +10.8°, compared with that of FG with a lower proportion of mannose, [α]_D²⁵ = +90.5°, suggesting that the mannose in the main chain had a α-linkage. These results suggest that the galactomannans comprise a (1 → 4)-β-mannopyranosidic main chain connected with more than two (1 → 4)-α-galactopyranosidic side chains, in addition to the single galactopyranose side chain, at C6 of the mannopyranose main chain.     

Conformation of LiDNA in solutions of LiCl

We have derived radii of gyratin, R_g, from the absolute intensity of the scattered light of mondisperse linear Col E₁ LiDNA in solution at various LiCl concentrations up to 5M. The second virial coefficients, A₂, decrease strongly with increasing LiCl concentration, and vanish between 3 and 5M LiCl. It was thus possible to calculate a limiting value at a high salt concentration of 28.5 nm for the persistence length, a₀, of LiDNA, without the necessity of applying excluded-volume corrections. The value obtained is in good agreement with the value previously obtained for NaDNA at high NaCl concentrations, and can be identified with the high salt limit of DNA flexibility, with long-range electrostatic interactions effectively screened. Sedimentation coefficients in the ultracentrifuge and apparent and translational diffusion coefficients (at finite and vanishing scattering vectors, respectively) from dynamic laser-light scattering have also been obtained up to 5M LiCl. From the sedimentation and apparent diffusion, D(90), (at 90° scattering angle only) above 5M, and up to 9M LiCl, it could be shown that the solutions are stable for reasonable periods of time, and the molecular parameters vary smoothly and moderately at high salt. Conformational transitions were not observed and precipitation occurs between 9 and 10M LiCl.     

Molecular Dynamics Studies of Diffusion in Model Cylindrical Pores at Very Low Densities

Abstract

Molecular dynamics simulation has been used to study diffusion of methane at ambient temperature in cylindrical pores at very low densities. The cylinders were modelled as a continuum solid which interacts with the methane in the radial direction only. At the lowest densities, the VACF method does not yield reliable values of the self diffusion coefficient, D_s , but a suitable choice of time step and run length enables values of D_s to be found from MSD plots that are below the classical Knudsen diffusion coefficients. When density is increased, D_s passes through a maximum although the adsorption isotherm remains inside the Henry law region. Maxima are found for two cylinder radii and for two adsorbent field strengths. The existence of a maximum is attributed to transient intermolecular interactions. Analysis of a molecular trajectory demonstrates that long diffusion paths can be triggered by the rare event of an intermolecular encounter which forces a molecule into the repulsive part of the wall potential. At sufficiently high density, subsequent collisions quench the tendency towards long paths, and D_s decreases again. The issue of simulation artefact as a source of these observations is discussed.     

Peptide self-association in aqueous trifluoroethanol monitored by pulsed field gradient NMR diffusion measurements

Defining the self-association state of a molecule in solution can be an important step in NMR-based structure determination. This is particularly true of peptides, where there can be a relatively small number of long-range interactions and misinterpretation of an intermolecular NOE as an intramolecular contact can have a dramatic influence on the final calculated structure. In this paper, we have investigated the use of translational self-diffusion coefficient measurements to detect self-association in aqueous trifluoroethanol of three peptides which are analogues of the C-terminal region of human neuropeptide Y. Experimentally measured diffusion coefficients were extrapolated to D⁰, the limiting value as the peptide concentration approaches zero, and then converted to D_20,w, the diffusion coefficient after correction for temperature and the viscosity of the solvent. A decrease in D_20,w of about 16% was found for all three peptides in aqueous TFE (30% by volume) compared with water, which is in reasonable agreement with the expected decrease upon dimerisation, the presence of which was indicated by sedimentation equilibrium measurements. Apparent molecular masses of these peptides in both solutions were also calculated from their diffusion coefficients and similar results were obtained. Several potential internal standards, including acetone, acetonitrile, dimethylsulfoxide and dioxane, were assessed as monitors of solution viscosity over a range of trifluoroethanol concentrations. Compared with independent measurements of viscosity, acetonitrile was the most accurate standard among these four. The practical limitations of a quantitative assessment of peptide self-association from translational diffusion coefficients measured by PFGNMR, including the calculation of apparent molecular mass, are also discussed.     

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.     

Sedimentation studies of giant DNA molecules present in unsheared whole-cell lysates of D. melanogaster cells.

We have used band sedimentation in shallow density gradients of CsCl in the preparative centrifuge to analyze the distribution of sedimentation coefficients present in tritium labelled DNA from D. melanogaster cells. The cells were lysed according to the method of Kavenoff and Zimm to preserve very high molecular weight DNA. Sedimentation measurements have been carried out as a function of speed of centrifugation. The resulting distribution functions have been interpreted with the aid of the Zimm-Schumaker equation for the speed dependence of the sedimentation coefficient of very high molecular weight DNA. Low-speed centrifugation (3000 rpm) indicates that DNA molecules from the lysate are evenly distributed over values of S_20,w from 0 to 514S. This distribution is very sensitive to changes in speed of centrifugation and is transformed into a bimodal distribution at 12,080 rpm. Analysis of this transformation allows us to postulate that perhaps 55% of the DNA in the lysate may have molecular weights in excess of 40 × 10⁹ g/mol. Some of these molecules may also possess a variety of configurations including partially replicated branched structures.     

Dynamic light scattering of the bacteriophage T4B: determination of translational diffusion coefficients and centres of rotation

Using dynamic light scattering, the translational diffusion coefficient (D_T) and the distance between the hydrodynamic centre and the centre of the head (r₀) of the bacteriophage T4B have been determined. For a particle with retracted tail fibres we found D_T20.w =2.88 (2.88 ± 0.02) × 10^?8cm²s^?1 and r₀ = 52 ± 1 nm. For a phage with fully extended tail fibres D_T20w = (.210 ± 0.02) × 10^?8cm²s^?1 and r₀ = 112 ± nm. These data were obtained by interpreting the correlation function using a theory which takes into account the influence of the lollipop shape of the phage. In the literature this influence has not been taken into account, which has led to erroneous values of diffusion coefficients for T4B and other phages. The sedimentation coefficient of T4B phage is 1040 ± 5 S (fibres retracted) or 829 ± 4 S (fibres extended). With the above mentioned diffusion coefficients, these values correspond to a molecular weight of 236 × 10⁶ ± 3 × 10⁶. Finally, the theory used in this study is applied to other bacterial viruses, to correct reported values of the translational diffusion coefficients and of the corresponding molecular weights of these viruses.     

Depolymerization of legume seed galactomannan by Celloviridin G20x

The depolymerization of legume galactomannans by the commercial preparation Celloviridin G20x was studied with the aim of obtaining macromolecular fragments of a constant composition. Four galactomannans, representative of the entire range of monomer ratios characteristic of this class of phytopolysaccharides, were hydrolyzed. The galactomannans were isolated from oriental goat’s rue (Galega orientalis Lam., Man: Gal 1.1), guar (Cyamopsis tetragonoloba L., Man: Gal 1.6), honeylocust (Gleditsia triacanthos f. inermis L., Man: Gal 2.4), and sophora (Styphnolobium japonicum (L.) Schott., Man: Gal 5.1). Fragments with a monomer ratio close to that in the original polysaccharides were obtained with a high yield (75–80%). The degree of substitution of the 1,4-β-D-mannopyranose chain at position C-6 with α-galactose residues influenced the molecular weight of the final reaction product.     

Hydrodynamic properties and structure of fd virus

A length of 8950 ± 200 Å and a diameter of 90 ± 10 Å have been obtained for fd virus from a simultaneous solution of the Broersma equations relating the length and diameter of a rod-like particle to its rotational, D_R, and translational, D_T, diffusion coefficients. Measurements of D_R were by transient electric birefringence, and of D_T by low-angle intensity fluctuation spectroscopy. A mass of (16.4 ± 0.6) × 10⁶ daltons was calculated from the Svedberg equation using our measured values of D_T, the sedimentation coefficient and the density increment. These results, together with the molecular weight of fd DNA, give a total number of major coat protein subunits of 2710 ± 110 and a ratio of nucleotides to protein subunits which is definitely non-integral, 2.30 ± 0.11. These measurements help delineate significant structural differences between fd and other filamentous viruses. Also included in this paper is an Appendix (by L. A. Day & S. A. Berkowitz) concerning the number of nucleotides, 6370 ± 140, and the density and refractive index increments of fd DNA.