Comparison of molecular weight determination of sodium alginate by sedimentation-diffusion and light scattering

The weight average molecular weight, M̄_w, of sodium alginates were determined by the sedimentation-diffusion technique using photon correlation spectroscopy rather than boundary spreading in the analytical ultracentrifuge to determine the translational diffusion coefficients. This enables the diffusion coefficients to be determined easily and accurately. Excellent correlation is found between the observed zero concentration translational diffusion coefficient, D_O and the M̄_W values in a emphirical power law. The M̄_W obtained by sedimentation-diffusion and laser light scattering compare very favourably. The concentration dependence of the photon correlation spectroscopy data allowed determination of the coil overlap concentration, c*. The inverse proportionality of c* to both M̄_W and [η] is demonstrated.     

Pig liver fatty acid synthetase: purification and physicochemical properties.

This paper reports the first detailed study of the physicochemical properties of a fatty acid synthetase multienzyme complex from a mammalian liver. Fatty acid synthetase from pig liver was purified by a procedure including the following main steps: (i) preparation of a clarified supernatant solution (50,000 g), (ii) ammonium sulfate fractionation, (iii) DEAE-cellulose chromatography to separate 11 S catalase from the 13 S fatty acid synthetase, (iv) a preparative sucrose density gradient step to remove a 7 S impurity, and (v) a calcium phosphate gel step to remove an unusual yellow 16 S heme protein to yield a colorless preparation. The purified fatty acid synthetase was colorless and showed a single symmetrical peak in sucrose density gradient and conventional sedimentation velocity experiments. Fatty acid synthetase was very stable at 4 °C in the presence of 1 mm dithiothreitol and 25% sucrose. Extrapolation to zero protein concentration yielded values of S^o_20,w = 13.3 S and D^o_20,w = 2.60 × 10^?7cm²/s for the sedimentation and diffusion coefficients of the enzyme. Frictional coefficient values of 1.55 and 1.56 × 10^?7 cm, respectively, were calculated from the values for the sedimentation and diffusion coefficients. Based on these frictional coefficient values, the Stokes radius of the enzyme was calculated to be 82.4 Å. Sedimentation and diffusion coefficient data yielded a molecular weight value of $\text{M}{}_{\mathrm{<mtext>w</mtext>}}\text{(}\text{s}\text{D}\text{) = 478,000}$ and sedimentation equilibrium data yielded a value of M_w = 476,000. Preliminary intrinsic viscosity measurements at 20 °C gave a value of 7.3 ml/g, indicating that the enzyme is somewhat asymmetric. This is supported by the value of 1.58 calculated for the frictional ratio and by the fact that the values for the sedimentation and diffusion coefficients are both slightly lower than expected for a globular protein of molecular weight 478,000. The enzyme possesses about 90 SH groups per molecule, assuming a molecular weight of 478,000. The ultraviolet absorption spectrum of the enzyme shows a maximum at 280 nm and an unusual shoulder at 290 nm. The fluorescence spectrum of the enzyme is dominated by tryptophan fluorescence and, over the excitation range of 260–300 nm, there is a single emission maximum at 344 nm.     

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.     

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.     

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.     

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.     

Dynamic light scattering from collagen solutions. I. Translational diffusion coefficient and aggregation effects

Solutions of native collagen extracted from rat tail tendons in neutral salt solution have been studied by dynamic light scattering. The spectra obtained are consistent with the presence in solution of both single rod-shaped collagen molecules and aggregates of molecules. No contribution to the spectrum has been detected at any scattering angle from rotational diffusion of single molecules, although a measurable broadening effect is expected at high angles. The translational diffusion coefficient D of single molecules, calculated from the broader spectral component, shows an anomalous dependence on collagen concentration with a maximum value of D_20,w = 8.6 ± 0.2 × 10^?12 m²/sec near the concentration 0.04% by weight. Above 0.05% D falls linearly with increasing concentration and takes the value D _20,w = 8.1 ± 0.2 × 10^?12 m²/sec at 0.064% collagen.     

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.     

Binding Stoichiometry of the Gene 32 Protein of Phage T4 in the Complex with Single Stranded DNA Deduced from Boundary Sedimentation

Abstract

Short 145 base DNA fragments in complex with the helix destabilizing protein of bacteriophage T4, GP32, have been studied with boundary sedimentation. The sedimentation coefficient was determined as a function of concentration, protein-nucleic acid ratio, temperature and salt concentration. It can be concluded that the measured values reflect the properties of the saturated DNA-GP32 complex. A combination of the earlier obtained translational diffusion coefficient of the complex with the sedimentation coefficient yields its anhydrous molecular weight (M_w = 5.4 · 10^s D), which corresponds to a size of the binding site of 10 nucleotides per protein. This procedure is not sensitive to the presence of non-binding protein molecules and to the assumed protein concentration, and therefore, it seems more reliable than a determination from titration experiments.

Similar sedimentation measurements were performed with tRNA-complexes containing 76 nucleotides. The translational diffusion coefficient can be calculated from the measured rotational diffusion coefficient and assuming the same hydrodynamic diameter for this complex as obtained for the 145 b DNA complex. The molecular weight derived from the data then also leads to a binding site size of about 10 nucleotides. This suggests that also the short tRNA-complex forms an open, strongly solvated structure, as was proposed for the 145 b DNA-GP32 complex.     

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.     

Rotational relaxation of macromolecules determined by dynamic light scattering. II. Temperature dependence for DNA

Correlation functions have been determined for the fluctuating intensity of the depolarized component of forward-scattered laser light from solutions of DNA. The molecular correlation function of calf thymus DNA (mol wt ～15 × 10⁶) appears to exhibit a longest relaxation time (τ_25,w, ～ 18 msec) close to what one would predict from the flowdichroism measurements of Callis and Davidson and, in addition, manifests a spectrum of faster times down to tenths of milliseconds. Furthermore, a major fraction of the amplitude of fluctuations in the angular distribution of segment axes is relaxed on a very much shorter time scale (of the order of 20 microseconds) that appears to be relatively insensitive to molecular weight of the DNA, or to near-melting temperatures. The temperature profile of the longest relaxation time has been obtained and found to exhibit a peculiar spike near T_m, which, together with the absence of a corresponding spike in the (high shear) viscosity, has been interpreted as indicative of an increase in the molecular weight of the DNA in a narrow temperature region near T_m. Correlation functions for polarized light scattered at finite angles were obtained in an attempt to determine the temperature dependence of the translational diffusion coefficient. Although the data contain an extremely slow component that does not admit a simple interpretation, there is some indication of a decrease in the translational diffusion coefficient near T_m, thus supporting the notion of an aggregation occurring near T_m. Finally, a “counterion escape” mechanisn is proposed for the apparent aggregation.     

Static and dynamic light scattering from dilute insulin solutions

Static and dynamic light-scattering measurements are reported on zinc-insulin at room temperature (21 ± l°C) and pH = 6.88 in 0.1M NaCl aqueous solution. The experiments were performed at very low concentration, in the range 0.12 × 10^?4 to 0.90 × 10^?4 g cm^?3. Within experimental error, we find no evidence for a critical micellar concentration in this system. The aggregation phenomenon starts immediately after preparation of the solutions, and takes several days to come to stable equilibrium. The concentration dependence of the diffusion coefficients, D _z, = D_o (1 — k_DC), is negative, and k_D was observed to decrease as a function of time, while the aggregate size was found to increase. The equivalent concentration coefficient, ?2BM _W, obtained from static light scattering, showed a similar behavior, and, within experimental error, was found to be numerically equal to k_D. From the relation found between the diffusion coefficient at infinite dilution and the molecular weight of the aggregates, log D₀ = ?0.240 log M _w ? 5.077, we deduce that the insulin aggregates are compact structures with a characteristic radius of 0.71 Å/(dalton)^1/3, surrounded by a hydration layer of a thickness of 8.0 Å. The equilibrium aggregation number is approximately 10.     

Translational diffusion coefficient of α-chymotrypsinogen A by laser-light-scattering spectroscopy

The translational diffusion coefficient of a pure sample of α-chymotrypsinogen A is measured by laser light scattering to give a value of D_20,w⁰ = (8.40 ± 0.15) × 10^?7 cm²/sec.     

Ion‐specific modulation of protein interactions: Anion‐induced,reversible oligomerization of a fusion protein

Ions can significantly modulate the solution interactions of proteins. We aim to demonstrate that the salt-dependent reversible heptamerization of a fusion protein called peptibody A or PbA is governed by anion-specific interactions with key arginyl and lysyl residues on its peptide arms. Peptibody A, an E. coli expressed, basic (pI = 8.8), homodimer (65.2 kDa), consisted of an IgG1-Fc with two, C-terminal peptide arms linked via penta-glycine linkers. Each peptide arm was composed of two, tandem, active sequences (SEYQGLPPQGWK) separated by a spacer (GSGSATGGSGGGASSGSGSATG). PbA was monomeric in 10 mM acetate, pH 5.0 but exhibited reversible self-association upon salt addition. The sedimentation coefficient (s_w) and hydrodynamic diameter (D_H) versus PbA concentration isotherms in the presence of 140 mM NaCl (A5N) displayed sharp increases in s_w and D_H, reaching plateau values of 9 s and 16 nm by 10 mg/mL PbA. The D_H and sedimentation equilibrium data in the plateau region (>12 mg/mL) indicated the oligomeric ensemble to be monodisperse (PdI = 0.05) with a z-average molecular weight (M_z) of 433 kDa (stoichiometry = 7). There was no evidence of reversible self-association for an IgG1-Fc molecule in A5N by itself or in a mixture containing fluorescently labeled IgG1-Fc and PbA, indicative of PbA self-assembly being mediated through its peptide arms. Self-association increased with pH, NaCl concentration, and anion size (I⁻ > Br⁻ > Cl⁻ > F⁻) but could be inhibited using soluble Trp-, Phe-, and Leu-amide salts (Trp > Phe > Leu). We propose that in the presence of salt (i) anion binding renders PbA self-association competent by neutralizing the peptidyl arginyl and lysyl amines, (ii) self-association occurs via aromatic and hydrophobic interactions between the..xx..xxx..xx.. motifs, and (iii) at >10 mg/mL, PbA predominantly exists as heptameric clusters.     

Conformation of <Emphasis Type="Italic">Thermus thermophilus</Emphasis> ribosomal protein S1 in solution at different ionic strengths

Small-angle x-ray and neutron scattering were used to study the structure of the ribosomal protein S1 (61 kDa) from Thermus thermophilus in solution at low and moderate ionic strength (0 and 100 mM NaCl). The protein was found to be globular in both cases. Modeling of the S1 structure comprising six homologous domains on the basis of the NMR data for one domain showed that the best fit to scattering data was provided by compact domain packing. The calculated gyration radius was 28–29 Å, as typical of globular proteins about 60 kDa. The protein was prone to self-association, forming mainly dimers and trimers at moderate ionic strength and higher compact associates at low ionic strength. Neutron scattering assays in heavy water at 100 mM NaCl revealed markedly elongated associates. The translational diffusion coefficient calculated for S1 at 100 mM NaCl from dynamic light scattering was markedly lower than the one expected for its globular monomer (D _20,w = (2.7 ± 0.1)·10^?7 versus (5.8–6.0)·10^?7 cm² s^?1), confirming protein association under equilibrium conditions.     

Bounding fluid viscosity and translational diffusion in a fluid lipid bilayer

Fluorescence recovery after photobleaching was used to investigate the translational diffusion of a fluorescent derivative of a membrane-spanning lipid in L phase multibilayers of 1-palmitoyl-2-oleoylphosphatidylcholine prepared in water and in glycerol. The translational diffusion coefficient in hydrated bilayers (D _w) ranged between 2 and 5x10^–8 cm²/s and in glycerinated bilayers (D _g) the range was between 3 and 24×10^–10 cm²/s between 10° and 40°C. These results are discussed in terms of models for diffusion in membranes.     

Dynamic light scattering of aqueous solutions of linear aggregates induced by thermal denaturation of ovalbumin

Dynamic light scattering measurements were performed on dilute aqueous solutions of native ovalbumin (OA) and on those of linear OA aggregates induced by thermal denaturation at low ionic strength and neutral pH. The weight-average molecular weight M_w of four aggregates tested ranged from 1,700,000 to 5,500,000. The translational diffusion coefficient D₀ of native OA at infinite dilution was estimated as 8.70 × 10 ^?7 cm²/s, which gave 56.0 Å as the diameter of the rigid spherical particle. The intensity autocorrelation function of linear OA polymers was analyzed with the cumulant method to obtain the first cumulant Λ_e. The dependence of Λ_e on the scattering vector q at very low polymer concentration was found intermediate between those of a flexible chain and a rigid rod. The translational diffusion coefficient D_tr [≡ (T_e/q²)_{q → 0}] was in proportion to M, and the magnitude was in good agreement with a value calculated from the wormlike cylinder model with values of three parameters determined in an earlier study, M_L = 1600 Å^?1, d = 120 Å, and Q = 230 Å, where M_L, d, and Q are the molecular weight per unit length, diameter, and persistence length, respectively. Based on these results, a new model, to be called as the dimer model, was proposed to interpret the formation mechanism of linear OA polymers induced by thermal denaturation. © 1993 John Wiley & Sons, Inc.     

Measurement of diffusion coefficient and electrophoretic mobility with a quasielastic light-scattering–band-electrophoresis apparatus

We have constructed an apparatus for the simultaneous measurement of electrophoretic mobility, μ, and diffusion coefficient, D, of macromolecules and cells. It combines band electrophoresis in a vertical, sucrose-gradient stabilized column, with quasielastic laser light-scattering determination of the diffusion coefficient of the species within the band. The entire electrophoresis cell is scanned through the laser beam of the quasielastic laser light-scattering apparatus by a vertical translation stage. Total intensity light-scattering measurement at each point in the cell gives the macromolecular concentration at that point. Solvent viscosity and electrical potential are measured at each point in the cell. Application of this apparatus to resealed red blood cell ghosts and to bovine hemoglobin indicates that measurements of field, viscosity, and migration distance are reliable, and that electroosmosis is insignificant. Application to T4D bacteriophage gives μ_20,w = (?1.05 ± 0.05) × 10^?4 cm²/V sec and D_20,w = (3.35 ± 0.10) × 10^?8 cm²/sec for fiberless particles, and μ_20,w = ?(0.59 ± 0.03) × 10^?4 cm²/V sec and D_20,w = (2.86 ± 0.09) × 10^?8 cm²/sec for whole phage with 6 fibers. Approximate analysis of these results with the Henry electrophoresis theory for spheres in dicates that each fiber contributes about 193 positive charges to the phage particle, compared with 327 from amino-acid analysis. The advantages and disadvantages of this apparatus, relative to conventional electrophoresis and to electrophoretic light scattering, are discussed.     

Hydrodynamic properties of aqueous solutions of galactomannans

Galactomannans were extracted from the seeds of seven different legumes to obtain samples which differed in average molecular weight, in polydispersity, and in average mannose-to-galactose ratio in the molecule. Measurements were made of the viscosities as a function of shear rate and of the sedimentation and diffusion coefficients of the aqueous solutions of all the galactomannans. Average molecular weights were calculated from the sedimentation and diffusion coefficients using the Svedberg equation. The Mark-Houwink relationship between the intrinsic viscosity and the average molecular weights was found to hold for the series of galactomannans despite differences in the mannose-to-galactose ratios of the solutes. Estimates were made of the galactomannan polydispersities from both the sedimentation-coeffient distributions and also from the diffusion-coefficient ratios, D_m/D_A. The two methods gave results in qualitative agreement. The hydrodynamic properties of the more homogeneous galactomannans were compared with the predictions of the Flory-Fox hydro-dynamic theory, with results very similar to those which were obtained for the water-soluble synthetic cellulose derivatives, hydroxyethylcellulose and ethydroxycellulose.     

Quasi-elastic light scattering from fibrinogen and fibrin intermediate structures

Quasi-elastic light scattering measurements have been carried out for (i) human and bovine fibrinogens under identical conditions, (ii) for a large number of fractionated and unfractionated fibrin intermediates at various pH (10.0 to 10.5), (iii) for three intermediates polymerized at pH 7.4 and stabilized at pH 10.5 and (iv) for a gelled clot. Human and bovine fibrinogen proved to have noticeably different diffusion coefficients (same M_w) indicating a longer rod on the average for the human than for the bovine fibrinogen. This finding is in agreement with measurements of the integrated light scattering from these fibrinogens where a mass per unit length $\text{M}{}_{\mathrm{w}}\text{L}{}_{\mathrm{w}}$ of 3860 and 5460 g mol^?1 nm^?1 were found, respectively. No angular dependence of the apparent diffusion coefficient D_app = Γ/q² was found for the monomers and the fibrin clot; all other samples from (ii) showed an angular dependence if M_w ? 1.76 × 10⁶, were Γ is the first cumulant of the time correlation function and q = (4π/λ) sin?/2. A plot of D_app/D versus q²〈S²〉 gave curves which, for the low molecular weight samples, correspond to ellipsoids. For the longer fibrils a dynamic behaviour in between that of a long rigid rod and random coil was found and indicates a certain flexibility of the fibrils. The diffusion coefficients from (ii) decay with increasing molecular weight and can be described by Perrin's theory for ellipsoids when M₂ < 2 × 10⁶ while a beter agreement with Kirkwood's theory of long rods is obtained for the longer fibrils. The hydrodynamic behaviour of (iii) indicates short and unbranched rods of considerable thickness.