Quasi-elastic laser light scattering from solutions and gels of hemoglobin S.

Quasi-elastic light scattering has been used to examine solutions and gels of deoxyhemoglobin S. The autocorrelation function is found to decay with a characteristic exponential relaxation which can be ascribed to the diffusion of monomer (64,000 molecular weight) hemoglobin S molecules. In the absence of polymers, the relaxation time is in good agreement with previous measurements of the diffusion coefficient for solutions of normal human hemoglobin. In the presence of the polymer phase, a large (greater than 200-fold) increase in the scattered intensity is observed but no contribution to the decay of the autocorrelation function from the motion of the aligned polymer phase can be detected. Heterodyning between the time-independent scattering amplitude from the polymers and the time-dependent scattering of the diffusing monomers results in a twofold increase in the relaxation time arising from monomer diffusion.     

Factors affecting the entry of antibiotics into Escherichia coli

Factors affecting the entry into Escherichia coli of diverse antibacterial agents, especially beta-lactams were investigated. Agents of greater than a critical molecular weight (approximately 600 Daltons) penetrated extremely poorly. However, there was little correlation between penetrative ability and molecular weight for substances below the critical size. Within classes of related antibiotics (e.g. cephalosporins) penetrative ability was highly dependent on hydrophobicity. The relationship was parabolic rather than linear in nature. The proposal that the envelope of E. coli preferentially excludes hydrophobic molecules is to some extent an artefact arising from pre-selection of the agents used. For unrelated antibiotics hydrophobic nature was a poor guide to penetrative ability. A rather empirical property, diffusion ability through agar, was found to show good inverse correlation with penetrative ability for many unrelated antibiotics.     

Imaging Barriers to Diffusion by Pair Correlation Functions

Molecular diffusion and transport are fundamental processes in physical, chemical, biochemical, and biological systems. However, current approaches to measure molecular transport in cells and tissues based on perturbation methods such as fluorescence recovery after photobleaching are invasive, fluctuation correlation methods are local, and single-particle tracking requires the observation of isolated particles for relatively long periods of time. We propose to detect molecular transport by measuring the time cross-correlation of fluctuations at a pair of locations in the sample. When the points are farther apart than two times the size of the point spread function, the maximum of the correlation is proportional to the average time a molecule takes to move from a specific location to another. We demonstrate the method by simulations, using beads in solution, and by measuring the diffusion of molecules in cellular membranes. The spatial pair cross-correlation method detects barriers to diffusion and heterogeneity of diffusion because the time of the correlation maximum is delayed in the presence of diffusion barriers. This noninvasive, sensitive technique follows the same molecule over a large area, thereby producing a map of molecular flow. It does not require isolated molecules, and thus many molecules can be labeled at the same time and within the point spread function.     

Dynamic light scattering from collagen solutions. II. Photon correlation study of the depolarized light.

The depolarized forward-scattered light from solutions of rat tail collagen has been studied by photon correlation spectroscopy. The measured autocorrelation function is seen to decay on two widely different time scales. The decay time for the fast component is consistent with the rotational diffusion of rodlike collagen monomers. The slowly decaying autocorrelation component is attributed to large nonspecific aggregates of collagen. A substantial fraction of the collagen is in this aggregated form. Extrapolation of the faster decay times to zero concentration yields a value of θ = 1082 ± 30 sec^?1 for the rotational diffusion coefficient of the collagen monomer.     

Structure and dynamics of interfacial water in an Lalpha phase lipid bilayer from molecular dynamics simulations

Based on molecular dynamics simulations, an analysis of structure and dynamics is performed on interfacial water at a liquid crystalline dipalmitoylphosphatidycholine/water system. Water properties relevant for understanding NMR relaxation are emphasized. The first and second rank orientational order parameters of the water O-H bonds were calculated, where the second rank order parameter is in agreement with experimental determined quadrupolar splittings. Also, two different interfacial water regions (bound water regions) are revealed with respect to different signs of the second rank order parameter. The water reorientation correlation function reveals a mixture of fast and slow decaying parts. The fast (ps) part of the correlation function is due to local anisotropic water reorientation whereas the much slower part is due to more complicated processes including lateral diffusion along the interface and chemical exchange between free and bound water molecules. The 100-ns-long molecular dynamics simulation at constant pressure (1 atm) and at a temperature of 50 degrees C of 64 lipid molecules and 64 x 23 water molecules lack a slow water reorientation correlation component in the ns time scale. The (2)H(2)O powder spectrum of the dipalmitoylphosphatidycholine/water system is narrow and consequently, the NMR relaxation time T(2) is too short compared to experimental results.     

Estimation of diffusion coefficients of proteins

A correlation for estimating the diffusion coefficients of protein molecules is presented. The correlation is based upon literature values of the protein diffusion coefficients and molal volumes for 143 proteins. The correlation can be used for the estimation of diffusion coefficients using only molecular weight. Accuracy is such that a linear regression on 301 proteins showed 75% of the diffusion coefficients estimated fell within 20% of the experimental values. The relationship between this correlation, the Stokes–Einstein equation, and the Wilke–Chang correlation is discussed.     

Prediction of diffusion coefficients of plasmids

The ability to predict diffusion coefficients is important in the design, analysis, and operation of plasmid downstream processing operations such as membrane and fixed-bed chromatography. A correlation is proposed to predict the diffusion coefficient, D, of supercoiled plasmid DNA molecules in dilute solutions on the basis of the molecular weight, M, or size. Experimental data (18 points) collected from the literature confirmed the proposed variation of D with plasmid molecular weight as D proportional, variant M(-2/3), for molecules within the 1,800-287,100 base-pair range. The correlation was able to estimate the available experimental results with an average error of 6.3%.     

Time dependence of aggregation in crystallizing lysozyme solutions probed using NMR self-diffusion measurements

The time dependence of aggregation in supersaturated lysozyme solutions was studied using pulsed-gradient spin-echo NMR diffusion measurements as a function of lysozyme concentration at pH 6.0 and 298 K in the presence of 0.5 M NaCl. The measurements provide estimates of the weight-averaged diffusion coefficient of the monomeric to intermediate molecular weight lysozyme species present in the solution (very large aggregates and crystals are excluded from the average due to the NMR relaxation-weighting effects inherent in the method). The results show that the average molecular weight of the various lysozyme aggregates changed with sigmoidal kinetics and that these kinetics were strongly influenced by the initial lysozyme concentration. The visualization of the time dependence of the protein aggregation afforded by this method provides a deeper understanding of how the crystallizing conditions (especially the initial protein concentration) are related to the resulting crystals.     

Oligomeric tubulin in large transporting complex is transported via kinesin in squid giant axons

Slow axonal transport depends on an active mechanism that conveys cytosolic proteins. To investigate its molecular mechanism, we now constructed an in vitro experimental system for observation of tubulin transport, using squid giant axons. After injecting fluorescence-labeled tubulin into the axons, we monitored the movement of fluorescence by confocal laser scanning microscopy and fluorescence correlation spectroscopy. Here, from the pharmacological experiments and the functional blocking of kinesin motor protein by anti-kinesin antibody, we show that the directional movement of fluorescent profile was dependent on kinesin motor function. The fluorescent correlation function and estimated translational diffusion time revealed that tubulin molecule was transported in a unique form of large transporting complex distinct from those of stable polymers or other cytosolic protein.     

Fluorescence correlation microscopy of cells in the presence of autofluorescence.

Fluorescence correlation microscopy (FCM), the combination of fluorescence correlation spectroscopy (FCS) and digital microscopy (Brock and Jovin, 1998. Cell. Mol. Biol. 44:847-856), has been implemented for measuring molecular diffusion and association in living cells with explicit consideration of autocorrelations arising from autofluorescence. Autofluorescence excited at 532 nm colocalizes with mitochondria, has flavin-like spectral characteristics, exhibits relaxation times characteristic for the diffusion of high-molecular-weight proteins, and depends on the incubation conditions of the cells. These time- and location-dependent properties preclude the assignment of universal background parameters. The lower limit for detection of microinjected dextran molecules labeled with the carboxymethylindocyanine dye Cy3 was a few thousand molecules per cell, and the diffusion constant of 1.7 x 10(-7) cm2/s agreed well with values measured with other methods. Based on the fluorescence signal per molecule (fpm) and the molecule number derived from autocorrelation analysis, a new method is devised to define intracellular association states. We conclude that FCM is a powerful, noninvasive method for probing molecular interactions in femtoliter volume elements within defined subcellular locations in living cells.     

Dynamics of vibrational frequency fluctuations in deuterated liquid ammonia: roles of fluctuating hydrogen bonds and free ND modes

We present an ab initio molecular dynamics study of the roles of fluctuating hydrogen bonds and free ND modes in the dynamics of ND stretch frequency fluctuations in deuterated liquid ammonia. We have also looked at some of the other dynamical quantities such as diffusion and orientational relaxation and also structural quantities such as pair correlations and hydrogen bonding properties which are relevant in the current context. The time correlation function of ND stretch frequencies is found to decay with primarily two time scales: A short-time decay with a time scale of less than 100 fs arising from intermolecular motion of intact hydrogen bonds and also from fast hydrogen bond breaking and a longer time scale of about 500 fs which can be assigned to the lifetime of free ND modes. Unlike water, in liquid ammonia an ND mode is found to remain free for a longer period than it stays hydrogen bonded and this longer lifetime of free ND modes determines the long-time behaviour of frequency fluctuations. Our hole dynamics calculations produced results of vibrational spectral diffusion that are similar to the decay of frequency time correlation. Inclusion of dispersion corrections is found to make the dynamics slightly faster.     

A review of experimental measurements of effective diffusive permeabilities and effective diffusion coefficients in biofilms

Experimental measurements of effective diffusive permeabilities and effective diffusion coefficients in biofilms are reviewed. Effective diffusive permeabilities, the parameter appropriate to the analysis of reaction-diffusion interactions, depend on solute type and biofilm density. Three categories of solute physical chemistry with distinct diffusive properties were distinguished by the present analysis. In order of descending mean relative effective diffusive permeability (De/Daq) these were inorganic anions or cations (0.56), nonpolar solutes with molecular weights of 44 or less (0.43), and organic solutes of molecular weight greater than 44 (0.29). Effective diffusive permeabilities decrease sharply with increasing biomass volume fraction suggesting a serial resistance model of diffusion in biofilms as proposed by Hinson and Kocher (1996). A conceptual model of biofilm structure is proposed in which each cell is surrounded by a restricted permeability envelope. Effective diffusion coefficients, which are appropriate to the analysis of transient penetration of nonreactive solutes, are generally similar to effective diffusive permeabilities in biofilms of similar composition. In three studies that examine diffusion of very large molecular weight solutes (>5000) in biofilms, the average ratio of the relative effective diffusion coefficient of the large solute to the relative effective diffusion coefficient of either sucrose or fluorescein was 0.64, 0.61, and 0.36. It is proposed that large solutes are effectively excluded from microbial cells, that small solutes partition into and diffuse within cells, and that ionic solutes are excluded from cells but exhibit increased diffusive permeability (but decreased effective diffusion coefficients) due to sorption to the biofilm matrix.     

Ultrastructure of the approximately 26S complex containing the approximately 20S cylinder particle (multicatalytic proteinase/proteasome).

We have isolated a large protein complex of approximately 26S from Xenopus laevis oocytes and eggs which is composed of the approximately 20S cylinder particle (multicatalytic proteinase/proteasome) and additional proteinaceous components. In its polypeptide composition and sedimentation coefficient this approximately 26S complex closely resembles the 26S ubiquitin-dependent protease, a high molecular weight multienzyme complex recently described in the literature. Specific antibodies directed against a single subunit of the approximately 20S cylinder particle retain, on affinity columns, the large approximately 26S complex, and on sucrose gradients up to approximately 50% of the approximately 20S cylinder particles present in oocyte extracts sedimented with approximately 26S, suggesting that a large proportion of the approximately 20S particles exists in the cell as a component of the approximately 26S complex. Electron microscopy reveals the approximately 26S complex to be a symmetrical elongated macromolecular assembly of at least three protein particles. The central core of the complex is formed by the approximately 20S cylinder particle to which two other large components are attached at the ends, yielding a dumbbell-shaped complex of approximately 40 nm in length. Dissociation of the approximately 26S complexes releases in addition to approximately 20S cylinder particles a novel type of a disc-shaped particle of approximately 15 nm diameter which may represent the attached components or subcomplexes of them. Based on its structural and biochemical properties we postulate that the approximately 26S complex identified here is identical to the ubiquitin-dependent protease.     

Monitoring of in vitro and in vivo translation of green fluorescent protein and its fusion proteins by fluorescence correlation spectroscopy

BACKGROUND: Because the process of protein translation is an event of sparse molecules, the measurement requires high sensitivity. One of the candidates for studying the molecules is fluorescence correlation spectroscopy (FCS), which gleans quantitative information from fluctuating fluorescence signals in a diluted solution. METHODS: Using FCS, the translation products of expression plasmid for green fluorescent protein (GFP) and its fusion proteins were measured in vitro and in vivo. RESULTS: In in vitro translation, the number of products increased linearly for 90 min upon concentration of the plasmid. The autocorrelation function for GFP was fitted with a one-component model with a diffusion time of 0.18 ms, which was identical to the value expected from the molecular weight. In the cases of GFP- tagged hypoxia-inducible factor-1 alpha and glucocorticoid receptor, each fitting result was significantly improved with a two-component model. The slow component with a diffusion time of 6 ms appeared to be related to the ribosome or polysome. In response to the addition of dexamethasone, the nuclear translocation from cytosol clearly induced the decrease in number of molecules in the focal point. CONCLUSIONS: FCS permits monitoring of the number of molecules translated in vitro and in vivo, the translation rate, and the molecular weight.     

Mechanisms of controlled release from silk fibroin films

The controlled release of fluorescein-iso-thio-cyanate (FITC)-labeled dextrans from methanol-treated and untreated silk fibroin films was modeled to characterize the release kinetics and mechanisms. Silk films were prepared with FITC-dextrans of various molecular weights (4, 10, 20, 40 kDa). Methanol treatment was used to promote crystallinity. The release data were assessed with two different models, an empirical exponential equation commonly fit to release data and a mechanism-based semiempirical model derived from Fickian diffusion through a porous film. The FITC-dextran release kinetics were evaluated as a function of molecular weight and compared between the untreated- and methanol-treated films. For the empirical model, the estimated values of the model parameters decreased with the molecular weight of the analyte and showed no significant difference between untreated- and methanol-treated films. For the diffusion-based model, the estimated diffusion coefficient was smaller for the methanol-treated films than for the untreated films. Also, the diffusion coefficient was observed to decrease linearly with increasing molecular weight of the analyte. The percent of FITC-dextran loading entrapped and not released was less for the methanol-treated films than for untreated films and linearly increased with molecular weight. A linear regression was fit to the relationship between molecular weight and the percent of entrapped FITC-dextran particles. Using these defined linear relationships, we present an updated version of the diffusion model for simulating release of FITC-dextran of varied molecular weights from methanol-treated and untreated silk films.     

A novel correlation for protein diffusion coefficients based on molecular weight and radius of gyration

A new correlation is proposed for the prediction of protein diffusion coefficients in free solution. Molecular weight and radius of gyration of proteins are employed as correlation parameters in this method. Both parameters can be easily found in the literature. The correlation works well for diverse proteins with different shapes and extensive molecular weight. Furthermore, this method does not require a preassumption regarding the protein shape while it offers a rapid and convenient calculation with a high accuracy. Also, the proposed correlation can elucidate the estimation deviation of previous correlation methods in the literature.     

Dynamic properties of water at phosphatidylcholine lipid-bilayer surfaces as seen by deuterium and pulsed field gradient proton NMR

The dynamic properties of water in phosphatidylcholine lipid/water dispersions have been studied, applying a combination of ²H-NMR techniques (quadrupole splitting and spin-lattice relaxation time) and self-diffusion measurements using pulsed field gradient (PFG) ¹H-NMR. The hydration properties of POPC (1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidylcholine) were compared with those of DOPC (1,2-dioleoyl-sn-glycero-3-phosphatidylcholine) and EYL (egg yolk phosphatidylcholine (lecithin)). A model is presented that assumes an exponentially decaying influence of the bilayer surface on water dynamics as well as on water orientation with increasing hydration. This assumption is based on an exponentially decaying hydration potential which results from direct lipid-water and water-water interactions. The model describes successfully the experimental data for a large water concentration range, especially at low hydration, where other models failed. With the exception of a small fraction of water which is significantly influenced by the surface in slowing down the mobility, the interbilayer water has isotropic, free water characteristics in terms of correlation times and molecular order. Hydration properties of POPC are comparable with those of EYL but differ from DOPC. At very low water content the correlation times of headgroup segmental reorientation and water are similar, indicating a strong coupling of this water to the lipid lattice. The hydration properties of the three lipids studied are explained in terms of slightly different headgroup conformations due to different lateral packing of the molecules by their fatty-acid chain composition.     

Diffusion-ordered NMR spectroscopy: a versatile tool for the molecular weight determination of uncharged polysaccharides

Diffusion-ordered NMR spectroscopy (DOSY) experiments have been carried out on dilute aqueous solutions of uncharged saccharide systems and, in particular, on six well characterized pullulan fractions of different molecular weights. The values of diffusion coefficients and hydrodynamic radii determined for the pullulan fractions are in good agreement with the results obtained with other methodologies such as light scattering. Fitting the diffusion coefficients data as a function of the molecular weight allows for the determination of a calibration curve that can be applied to a wide range of mono-, oligo-, and polysaccharides. Therefore, DOSY is proposed as a versatile tool for achieving a simple estimation of the molecular weight of uncharged polysaccharides. Mixtures of homopolymers of different molecular weight can be nicely separated. An advantage of the method is that the same sample used for the NMR characterization can be used for the molecular weight determination without any further manipulation. Other water soluble polymers, such as poly(ethylene oxide) and poly(vinylpyrrolidone), can be roughly characterized using the same calibration curve.     

A new approach for fluorescence correlation spectroscopy (FCS) based immunoassays

Fluorescence correlation spectroscopy (FCS) is a powerful technique for measuring physicochemical properties, such as concentration and diffusion constant, of bio-molecules in complex mixtures. Although, as such, FCS is well suited for development of homogeneous immunoassays, a major obstacle lies in the relatively high molecular weight of antibodies. This is because in FCS discrimination between unbound fluorescently-labelled antibodies and the same antibodies bound to immune complexes is based on the difference of their respective diffusion coefficients. To overcome this limitation we here propose to use a fluorescently-labelled tag which has two crucial properties: (a) its molecular weight is significantly lower than that of an antibody and (b) it is capable to discriminate between free antibodies and immune complexes. We have evaluated the feasibility of this approach in a model system consisting of mouse monoclonal IgG directed against the Lewis X antigen, and Protein A as a low molecular weight tag.     

Use of holographic laser interferometry to study the diffusion of polymers in gels

The aim of this study was to demonstrate the potential for holographic interferometry to be used for diffusion studies of large molecules in gels. The diffusion and partitioning of BSA (67,000 g/mol) and pullulans (5,900-112,000 g/mol) in agarose gel were investigated. The gel diffusion coefficients obtained for BSA were higher when distilled water was used as a solvent compared to those obtained with 0.1 M NaCl as the solvent. Furthermore, the gel diffusion coefficient increased with increasing BSA concentration. The same trend was found for liquid BSA diffusion coefficients obtained by DLS. BSA partition coefficients obtained at different agarose gel concentrations (2-6%, w/w) decreased slightly with increasing gel concentration. However, all BSA gel diffusion coefficients measured were significantly lower than those in pure solvent and they decreased with increasing agarose concentration. The gel diffusion coefficients obtained for pullulans decreased with increasing pullulan molecular weight. The same effect from increased molecular weight was seen in the liquid diffusion coefficients measured by DLS. The pullulan partition coefficients obtained decreased with increasing molecular weight. However, pullulans with a larger Stokes' radius than BSA had partition coefficients that were higher or approximately the same as BSA. This implied that the pullulan molecules were more flexible than the BSA molecules. The results obtained for BSA in this study agreed well with other experimental studies. In addition, the magnitude of the relative standard deviation was acceptable and in the same range as for many other methods. The results thereby obtained showed that holographic interferometry is a suitable method for studying diffusion of macromolecules in gels.