Effects of normalization errors on size distributions obtained from dynamic light scattering data.

This paper presents a study of the influence of normalization errors on size distributions obtained from the analysis of intensity fluctuations by photon correlation spectroscopy. The effects of these errors are demonstrated by means of computer-generated autocorrelation functions simulating light scattered from a monomodal Schulz distribution of small, spherical, unilamellar lipid vesicles. The calculations show that even small errors in the baseline, modifying the data upon normalization systematically, will cause serious errors in the estimated size distribution. As it turns out this is due to the peculiar characteristics of normalization errors in data of the first order autocorrelation function. The errors introduced there are described in parts by functions of the delay time having positive exponents. Such components are not considered in the integral equations commonly used to analyze the measured data. The error's property to be a function of delay time in turn enables us to obtain the relative baseline error from the inversion of the data. The new method for its determination is described in some detail. Here, it has been realized with a modified version of the size distribution algorithm CONTIN.     

Size distribution of pressure-decomposed casein micelles studied by dynamic light scattering and AFM

Reversible and irreversible states of pressure-dissociated casein micelles were studied by in situ light scattering techniques and ex situ atomic force microscopy. AFM experiments performed at ambient pressure reveal heterogeneities across the micelle, suggesting a sub-structure on a 20 nm scale. At pressures between 50 and 250 MPa, the native micelles disintegrate into small fragments on the scale of the observed sub-structure. At pressures above 300 MPa the micelles fully decompose into their monomeric constituents. After pressure release two discrete populations of casein aggregates are observed, depending on the applied initial pressure: Between 160 and 240 MPa stable micelles with diameters near 100 nm without detectable sub-structures are formed. Casein micelles exposed to pressures above 280 MPa re-associate at ambient pressure yielding mini-micelles with diameters near 25 nm. The implications concerning structural models are discussed.     

Size distributions of chylomicrons from human lymph from dynamic light scattering measurements

Chylomicrons, the vehicles for the transport of exogeneous triglycerides and cholesterol in the lymph and the blood, were characterized by their size from dynamic light scattering measurements. To achieve an appropriate resolution, correlation data were collected over several hours. Analysis was performed with an extended version of the regularization method CONTIN, and special attention was given to errors in the experimental baseline and to randomness of the residuals. The solutions selected by means of Fisher's F-test by CONTIN agreed with those obtained with the stability plot of Schnablegger and Glatter, when in the case of data of lower statistical accuracy the solution was taken from the lower part of the confidence interval of the F-test. The intensity-weighted size distributions indicated two classes of particle, their mean diameters being 100–140 nm and 330–350 nm. The ability to resolve two peaks of such a size ratio is demonstrated. The numbers of particles associated with the two peaks were estimated by means of the scattering properties of the particles, which showed that the overwhelming majority were small ones. This estimation also suggested that the mean size of the first peak of the number distribution is significantly smaller than the typical size of chylomicrons. This was consistent with the finding that the sample contained not only apolipoprotein B-48 but also a similar amount of apolipoprotein B-100, which is associated with lipoproteins of smaller size. The larger particles of the second peak are probably dietary triglyceride-rich chylomicrons. Received: 12 October 1997 / Revised version: 26 June 1998 / Accepted: 7 August 1998     

Static and dynamic light scattering from aggregating particles

We use standard hydrodynamic and light scattering theories to calculate the total intensity and dynamic light scattering properties of random aggregates of spherical particles containing up to ten spheres. When the aggregates have dimensions comparable to the wavelength of light, intraaggregate interference effects can dramatically reduce the apparent size of the aggregates. These results could be significant in interpreting DNA condensation, protein polymerization, and other biomolecular aggregation reactions.     

Localized dynamic light scattering: a new approach to dynamic measurements in optical microscopy.

We present a new approach to probing single-particle dynamics that uses dynamic light scattering from a localized region. By scattering a focused laser beam from a micron-size particle, we measure its spatial fluctuations via the temporal autocorrelation of the scattered intensity. We demonstrate the applicability of this approach by measuring the three-dimensional force constants of a single bead and a pair of beads trapped by laser tweezers. The scattering equations that relate the scattered intensity autocorrelation to the particle position correlation function are derived. This technique has potential applications for measurement of biomolecular force constants and probing viscoelastic properties of complex media.     

Measurement of inherent particle properties by dynamic light scattering: introducing electrorotational light scattering.

Common dynamic light scattering (DLS) methods determine the size and zeta-potential of particles by analyzing the motion resulting from thermal noise or electrophoretic force. Dielectric particle spectroscopy by common microscopic electrorotation (ER) measures the frequency dependence of field-induced rotation of single particles to analyze their inherent dielectric structure. We propose a new technique, electrorotational light scattering (ERLS). It measures ER in a particle ensemble by a homodyne DLS setup. ER-induced particle rotation is extracted from the initial decorrelation of the intensity autocorrelation function (ACF) by a simple optical particle model. Human red blood cells were used as test particles, and changes of the characteristic frequency of membrane dispersion induced by the ionophore nystatin were monitored by ERLS. For untreated control cells, a rotation frequency of 2 s-1 was induced at the membrane peak frequency of 150 kHz and a field strength of 12 kV/m. This rotation led to a decorrelation of the ACF about 10 times steeper than that of the field free control. For deduction of ERLS frequency spectra, different criteria are discussed. Particle shape and additional field-induced motions like dielectrophoresis and particle-particle attraction do not significantly influence the criteria. For nystatin-treated cells, recalculation of dielectric cell properties revealed an ionophore-induced decrease in the internal conductivity. Although the absolute rotation speed and the rotation sense are not yet directly accessible, ERLS eliminates the tedious microscopic measurements. It offers computerized, statistically significant measurements of dielectric particle properties that are especially suitable for nonbiological applications, e.g., the study of colloidal particles.     

Vesicle sizing: Number distributions by dynamic light scattering

A procedure is described which optimizes nonnegative least squares and exponential sampling fitting methods for analysis of dynamic light scattering (DLS) data from aqueous suspensions of vesicle/liposome systems. This approach utilizes a Rayleigh-Gans-Debye form factor for a coated sphere and yields number distributions which can be compared directly to distributions obtained by freeze-fracture electron microscopy (EM). Excellent agreement between the DLS and EM results are obtained for vesicle size distributions in the 100-200-nm range.     

Size analysis of biological membrane vesicles by gel filtration, dynamic light scattering and electron microscopy

Biological membrane vesicles are analysed in terms of size and size distribution using gel filtration on Sephacryl S-1000, electron microscopy and quasi-elastic light scattering. The agreement between the three methods is satisfactory particularly for homogeneous dispersions. Gel filtration on Sephacryl S-1000 is a quick and convenient method for the routine size analysis of membrane vesicles up to a diameter of about 250 nm.     

Conformational change of core particles studied by quasielastic light scattering

The diffusion translational coefficient D_T of core particles in monodisperse solutions has been measured by the quasielastic light scattering method in a large scale of salinities over the range 6.10⁻⁴ to 2M Na⁺ or K⁺. The observed values of D_T are independent of particle concentration in the range 0.1–2 mg/ml and do not vary with the scattering vector q corresponding to scattering angles between 40°–120°. When the salinity is progressively raised an increase of D_T from 1.9.10⁻⁷ cm²s⁻¹ to 3.2.10⁻⁷ cm²s⁻¹ was observed at about 2.10⁻³ M NaCl followed by a decrease of D_T beyond 0.6 M NaCl.The various possible causes of the changes of D_T such as interactions between particles or between particles and salt ions are discussed. We show that the single low ionic strength change is due to a conformational transition of the core particles, while the second variation of D_T accompanies the disorganization of the core particles.     

Gelatin-alpha olefin sulfonate interactions studied by dynamic light scattering

Dynamic light scattering (DLS) measurements were performed to study the binding of anionic surfactant alpha olefin sulfonate (AOS) to gelatin chains at various NaCl concentrations at 30 degrees C in aqueous sodium phosphate buffer (pH = 6.8) solutions. The surfactant concentration was varied from 0 to 80 mM and the NaCl concentrations chosen were 0.025, 0.05, and 0.1 M. AOS exhibited electrostatic binding to the positively charged sites of the polypeptide chain resulting in considerable reduction in its hydrodynamic radius up to critical micellar concentration (cmc = 8 mM for no salt, 0.01 and 0.025 M, and 5 mM for 0.05 M and 2 mM for 0.1 M solutions). The correlation function revealed the presence of two types of structures above cmc; namely the micelles of AOS and gelatin-AOS micelle complexes. The micellar radii (Rm), the effective gelatin-surfactant complex radii (Rc), have been determined as a function of salt concentration. No critical aggregation concentration (cac) was observed. The inter-gelatin-surfactant complex (kD1) and inter-micellar interactions (kD2), were determined by fitting the concentration dependence of Rm and Rc to a virial expansion in reduced concentration (c - cmc), which are compared. While kD1 showed strong ionic strength dependence, kD2 remained invariant of the same. The protein to surfactant binding ratio was found to be smaller than normal. Results have been discussed within the framework of the necklace-bead model of polymer-surfactant interactions.     

Solution dimensions of the gramicidin dimer by dynamic light scattering

Gramicidin is thought to form dimeric helical rods in alcohol solutions. In addition, there is evidence that the rod dimensions change upon addition of potassium ions. The present work reports values for the translational and rotational diffusion coefficients of gramicidin in methanol and 95% ethanol and in these same solvents with added KSCN. Solution dimensions are calculated from the diffusion coefficients. The results suggest that gramicidin exists primarily as dimers in these solutions and that the gramicidin rod does indeed become shorter upon addition of potassium ion. These results are consistent with those obtained from X-ray studies on single crystals grown from alcohol solutions.     

Characterization of the overall and internal dynamics of short oligonucleotides by depolarized dynamic light scattering and NMR relaxation measurements

The dynamics of three synthetic oligonucleotides d(CG)4, d(CG)6, and d(CGCGTTGTTCGCG) of different length and shape were studied in solution by depolarized dynamic light scattering (DDLS) and time-resolved nuclear Overhauser effect cross-relaxation measurements. For cylindrically symmetric molecules the DDLS spectrum is dominated by the rotation of the main symmetry axis of the cylinder. The experimental correlation times describe the rotation of the oligonucleotides under hydrodynamic stick boundary conditions. It is shown that the hydrodynamic theory of Tirado and Garcia de la Torre gives good predictions of the rotational diffusion coefficients of cylindrically symmetric molecules of the small axial ratios studied here. These relations are used to calculate the solution dimensions of the DNA fragments from measured correlation times. The hydrodynamic diameter of the octamer and dodecamer is 20.5 +/- 1.0 A, assuming a rise per base of 3.4 A. The tridecamer, d(CGCGTTGTTCGCG), adopts a hairpin structure with nearly spherical dimensions and a diameter of 23.0 +/- 2.0 A. The DDLS relaxation measurements provide a powerful method for distinguishing between different conformations of the oligonucleotides (e.g., DNA double-helix versus hairpin structure). Furthermore, the rotational correlation times are a very sensitive probe of the length of different fragments. The NMR results reflect the anisotropic motion of the molecules as well as the amount of local internal motion present. The experimental correlation time from NMR is determined by the rotation of both the short and long axes of the oligonucleotide.(ABSTRACT TRUNCATED AT 250 WORDS)     

Quasielastic light scattering from solutions of lollipop-shaped particles

An expression is derived for the field correlation function of the light scattered from a solution of lollipop-shaped particles. Such particles are a tractable model of certain bacteriophages. They are assumed to consist of an ellipsoidal head containing optically anisotropic scattering material and a tail which does not scatter. Because of the tail, Brownian rotational movement occurs around a center of rotational friction which is at a distance r₀ from the center of the head. The dependence of the field correlation function C(τ) on the rotational diffusion coefficient D_R is given by the factor Σ_lB_l exp[?l(l + 1)D_Rτ]. It is shown that the tail causes the coefficients B_l to be different from zero for all values of l. Therefore, C(τ) contains a term proportional to exp(?2D_Rτ), which is not present when r₀ = 0. We give plots of B_l for various combinations of parameters. It turns out that dynamic light scattering may be used to measure r₀.     

Characterization of precrystallization aggregation of canavalin by dynamic light scattering.

The aggregation processes leading to crystallization and precipitation of canavalin have been investigated by dynamic light scattering (DLS) in photon correlation spectroscopy (PCS) mode. The sizes of aggregates formed under various conditions of pH, salt concentration, and protein concentrations were deduced from the correlation functions generated by the fluctuating intensity of light scattered by the solutions of the protein. Results obtained indicate that the barrier to crystallization of canavalin is the formation of the trimer, a species that has been characterized by x-ray crystallographic studies (McPherson, A. 1980. J. Biol. Chem. 255:10472-10480). The dimensions of the trimer in solution are in good agreement with those obtained both from the crystal (McPherson, A. 1980. J. Biol. Chem. 255:10472-10480) and from a low angle x-ray scattering study in solution (Plietz, P., P. Damaschun, J. J. Müller, and B. Schlener. 1983. FEBS [Fed. Eur. Biochem. Soc.] Lett. 162:43-46). Furthermore, under conditions known to lead to the formation of rhombohedral crystals of canavalin, a limiting size is reached at high concentrations of canavalin. The size measured corresponds to an aggregate of trimers making a unit rhombohedral cell consistent with x-ray crystallographic data (McPherson, A. 1980. J. Biol. Chem. 255:10472-10480). Presumably, such aggregates are the nuclei from which crystal growth proceeds. The present study was undertaken primarily to test the potential of DLS (PCS) as a tool for rapid, routine screening to determine the ultimate fate of protein solutions (i.e., crystallization or amorphous precipitation) at an early stage, therefore eliminating the need for long-term visual observation.(ABSTRACT TRUNCATED AT 250 WORDS)     

Size analysis and stability study of lipid vesicles by high-performance gel exclusion chromatography, turbidity, and dynamic light scattering

Vesicles of egg phosphatidylcholine (EPC) and phosphatidic acid (EPA) were prepared by reverse-phase evaporation (REV) followed either by sequential extrusion through polycarbonate membranes with pore diameters of 0.8, 0.4, 0.2, 0.1, and 0.05 micron or by filtration through 0.8-micron cellulosic or 0.22-micron polyvinylidene fluoride (PVF) membranes. The resulting vesicles ranging from 130 to 640 nm in mean diameter (REVs) were characterized by high-performance liquid chromatography (HPLC) using a TSK G6000 PW gel exclusion column. The efficiency of this technique to determine vesicle size parameters was studied by the analysis of the chromatograms in combination with dynamic light scattering (DLS) determination of the mean diameters (MD) of the fractionated vesicles in the region of the elution profile maxima. The HPLC TSK G6000 PW gel exclusion provides a reproducible and fast method of size characterization for lipid vesicles having MD up to 1 micron, the best selectivity being obtained in the 20- to 500-nm MD range. HPLC analysis of REV's demonstrates that: (i) both the average size and polydispersity of the vesicles decrease with decreasing pore size of the membranes, cellulosic or PVF "tortuous" ones being less efficient than "straight bores" polycarbonate ones; (ii) mixed EPC/EPA REVs sequentially extruded down through 0.2-micron polycarbonate membranes are highly deformable without rupture of the bilayer; and (iii) the mean size of extruded REV's is stable for at least 1 week. The role of EPA on the size stability of mixed EPC/EPA vesicles was studied by coupling HPLC gel exclusion and turbidity analysis of pure EPC and EPC/EPA (mole ratio: 91/9) sonicated small unilamellar vesicles as a function of time. The apparent size variation of EPC vesicles observed over a week, is mainly due to their aggregation which is significantly reduced by the introduction of a small amount of EPA in the vesicle membrane.     

The aggregation behaviour of protein-coated particles: a light scattering study

The different mechanisms involved in the aggregation of spherical latex particles coated with bovine serum albumin (BSA) have been studied using static and dynamic light scattering. These techniques assess the fractal dimension of the aggregates and their mean hydrodynamic radius. Particles with different degrees of surface coverage have been prepared. The net charge of the covered particles has been modified by varying the pH of the aqueous phase. The aggregation rate was measured and used to determine the importance of the different aggregation mechanisms that are responsible for these types of flocculation processes. At low and intermediate degrees of surface coverage, bridging flocculation is the principal aggregation mechanism irrespective of the electrical state of the protein-particle complexes. At high degree of surface coverage, however, weak flocculation is important only when the BSA molecules are at their isoelectric point.     

Configurational and dynamic properties of different length superhelical DNAs measured by dynamic light scattering

The solution conformation and internal motions of five superhelical DNAs between 2100 and 10200 base-pairs in length have been characterized by dynamic light scattering (DLS). Variations in the diffusion coefficients and rotational relaxation times with molecular weight are both indicative of an anisotropic extended structure of these DNAs; we therefore conclude that under our conditions the interwound superhelical structure prevails. The internal dynamics can be described by a superposition of rotational diffusion and internal relaxation. The latter process is characterized by the internal diffusion of persistence length size segments within the DNA chain and faster bending motions within these segments.