Electronic speckle pattern interferometry: a tool for determining diffusion and partition coefficients for proteins in gels

The aim of this study was to demonstrate electronic speckle pattern interferometry (ESPI) as a powerful tool in determining diffusion coefficients and partition coefficients for proteins in gels. ESPI employs a CCD camera instead of a holographic plate as in conventional holographic interferometry. This gives the advantage of being able to choose the reference state freely. If a hologram at the reference state is taken and compared to a hologram during the diffusion process, an interferometric picture can be generated that describes the refraction index gradients and thus the concentration gradients in the gel as well as in the liquid. MATLAB is then used to fit Fick's law to the experimental data to obtain the diffusion coefficients in gel and liquid. The partition coefficient is obtained from the same experiment from the flux condition at the interface between gel and liquid. This makes the comparison between the different diffusants more reliable than when the measurements are performed in separate experiments. The diffusion and partitioning coefficients of lysozyme, BSA, and IgG in 4% agarose gel at pH 5.6 and in 0.1 M NaCl have been determined. In the gel the diffusion coefficients were 11.2 +/- 1.6, 4.8 +/- 0.6, and 3.0 +/- 0.3 m(2)/s for lysozyme, BSA, and IgG, respectively. The partition coefficients were determined to be 0.65 +/- 0.04, 0.44 +/- 0.06, and 0.51 +/- 0.04 for lysozyme, BSA, and IgG, respectively. The current study shows that ESPI is easy to use and gives diffusion coefficients and partition coefficients for proteins with sufficient accuracy from the same experiment.     

Quantifying anisotropic solute transport in protein crystals using 3-D laser scanning confocal microscopy visualization

The diffusion of a solute, fluorescein into lysozyme protein crystals has been studied by confocal laser scanning microscopy (CLSM). Confocal laser scanning microscopy makes it possible to non-invasively obtain high-resolution three-dimensional (3-D) images of spatial distribution of fluorescein in lysozyme crystals at various time steps. Confocal laser scanning microscopy gives the fluorescence intensity profiles across horizontal planes at several depths of the crystal representing the concentration profiles during diffusion into the crystal. These intensity profiles were fitted with an anisotropic model to determine the diffusivity tensor. Effective diffusion coefficients obtained range from 6.2 x 10(-15) to 120 x 10(-15) m2/s depending on the lysozyme crystal morphology. The diffusion process is found to be anisotropic, and the level of anisotropy depends on the crystal morphology. The packing of the protein molecules in the crystal seems to be the major factor that determines the anisotropy.     

Crystallization and preliminary X-ray structure analysis of pigeon egg-white lysozyme.

Calcium binding lysozyme from pigeon egg-white was crystallized by the hanging drop vapor diffusion technique using ammonium sulphate as a precipitant. The crystals belong to the orthorhombic system, space group P2(1)2(1)2(1), and have unit cell dimensions of a = 34.2 A, b = 34.8 A, and c = 99.4 A. One asymmetric unit contains one molecule of the pigeon lysozyme. The crystals diffract X-rays at least to 2.0 A resolution and are suitable for high resolution structure analysis. The diffraction data up to 3.0 A resolution were collected with a diffraction image processor, DIP100, using a Fuji imaging plate as an area detector. The structure was solved by the molecular replacement technique and refined to an R factor of 0.216. Least-squares fitting of the main-chains of pigeon egg-white lysozyme with those of chicken egg-white lysozyme and baboon alpha-lactalbumin showed that the main-chain folding of pigeon lysozyme is more similar to that of chicken lysozyme than that of alpha-lactalbumin. The largest differences between the pigeon and chicken lysozymes are in the surface loop regions.     

Crystallization of hevamine, an enzyme with lysozyme/chitinase activity from Hevea brasiliensis latex

Hevamine, an enzyme with both lysozyme and chitinase activity, was isolated and purified from Hevea brasiliensis (rubber tree) latex. The enzyme (molecular weight 29,000) is homologous to certain "pathogenesis-related" proteins from plants, but not to hen egg-white or phage T4 lysozyme. To investigate the atomic details of the substrate specificity and the cause for hevamine's low pH optimum (pH 4.0), we have crystallized two hevamine isozymes as a first step towards a high-resolution X-ray structure determination. Suitable crystals were obtained at room temperature from hanging drop experiments by vapor diffusion against 1.7 M to 3.4 M-NaCl (pH 5.0 to 9.0) for the major isozyme, and by vapor diffusion against 2.5 M to 4.3 M-NaCl (pH 5.0 to 8.0) for the minor one. Both isozymes give the same crystal morphology and space group. Their space group is P2(1)2(1)2(1) with cell dimensions a = 82.3 A, b = 58.1 A and c = 52.5 A (1 A = 0.1 nm). The crystals diffract to at least 2.0 A resolution.     

Anisometric Transport of Ions and Particles in Anisotropic Tissue Spaces

The results of time-lapse measurements and electron microscopic observations on the diffusion of histological dyes, colloidal particles, and heavy metal salts in excised chicken breast tendon are reported. In all cases, the transport was found to be anisometric, the extent of the spreading being much greater parallel than perpendicular to the collagen fibers. The diffusion of colloidal gold was shown to be governed by a random diffusion process, with coefficients of 3 to 5 × 10^-7 and 1 to 2 × 10^-7 cm²/sec for the parallel and perpendicular directions, respectively; the anisotropy was attributed to steric hindrance. In the diffusion of uranyl nitrate, a sharp boundary appeared at the leading edge of the diffusate and advanced at a rate proportional to the square root of time. Electron micrographs showed uranyl nitrate clusters localized in space on the surface of the collagen fibrils and tightly bound to the polar amino acid regions of the macromolecule. A model was proposed involving diffusion with attrition, and predicted a sharp boundary advancing proportionally to the square root of time and to the 0.65 power of the initial diffusate concentration. Application of the model to the experimental results for uranyl nitrate gave a diffusion coefficient of 10 × 10^-7 and 4 × 10^-7 cm²/sec for the parallel and perpendicular directions, respectively, and a possible explanation of this large difference was advanced. The importance of anisometric transport in anisotropic tissues was indicated.     

Effect of plasticizers (water and glycerol) on the diffusion of a small molecule in iota-carrageenan biopolymer films for edible coating application

Translational diffusion of a fluorescein probe has been measured in iota-carrageenan edible films containing different amounts of glycerol (0, 15, 30, and 45%), using fluorescence recovery after photobleaching (FRAP) experiments. The effects of this plasticizer as well as the plasticizing effect of water on the diffusion of fluorescein have been studied in this edible coating mainly composed of natural biopolymer. Diffusion coefficients of about 10(-13) m2 s(-1) have been measured in these films for water activity (aw) lower than 0.7. Above this water content threshold, fluorescein translational diffusion coefficient increases up to 10(-12) m2 s(-1). Another interesting information obtained from FRAP experiments on this system is the ratio of the diffusing molecules which are immobilized in the carrageenan matrix at aw lower than 0.98. Moreover, films containing more than 30% glycerol (w/w carrageenan) present a huge increase of the diffusion coefficient of fluorescein at high water activity (about 2 orders of magnitude), this effect being less pronounced at low water activity. The increase of diffusion seems to be only related to the water content, and glycerol only acts through the enhancement of water adsorption. Therefore, in biopolymer films containing polyol plasticizers, the gain in mobility could be devoted to the effect of the ubiquitous plasticizing molecule, water, whose adsorption is increased by the plasticizer.     

Diffusion of lysozyme chloride in water and aqueous potassium chloride solutions.

The diffusion of lysozyme chloride in aqueous solution has been studied at 25 degrees C using the Goüy interferometric technique. The concentration dependence of the diffusion coefficient in water has been measured over the concentration range 1.1599-9.1556 gcm-3 and the results suggest a value of D 25, w at infinite dilution of 5.838 x 10(-6) cm2s-1. The variation in diffusion coefficient with ionic strength has also been considered by following the diffusion of 0.45% lysozyme chloride in a series of potassium chloride solutions. The value of D in 0.15 M KCl has been found to be approximately one quarter of that in water alone an the diffusion coefficient has been shown to increase markedly as the KCl concentration is reduced below 0.05 M. Interpretation of these observations involves consideration of solution electrostatic effects.     

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.     

Diffusion coefficient of fluorescein-labeled tubulin in the cytoplasm of embryonic cells of a sea urchin: video image analysis of fluorescence redistribution after photobleaching

The diffusion coefficient of tubulin has been measured in the cytoplasm of eggs and embryos of the sea urchin Lytechinus variegatus. We have used brain tubulin, conjugated to dichlorotriazinyl-aminofluorescein, to inject eggs and embryos. The resulting distributions of fluorescence were perturbed by bleaching with a microbeam of light from the 488-nm line of an argon ion laser. Fluorescence redistribution after photobleaching was monitored with a sensitive video camera and photography of the television-generated image. With standard photometric methods, we have calibrated this recording system and measured the rates of fluorescence redistribution for tubulin, conjugated to dichlorotriazinyl-aminofluorescein, not incorporated into the mitotic spindle. The diffusion coefficient (D) was calculated from these data using Fick's second law of diffusion and a digital method for analysis of the photometric curves. We have tested our method by determining D for bovine serum albumin (BSA) under conditions where the value is already known and by measuring D for fluorescein-labeled BSA in sea urchin eggs with a standard apparatus for monitoring fluorescence redistribution after photobleaching. The values agree to within experimental error. Dcytoplasmtubulin = 5.9 +/- 2.2 X 10(-8) cm2/s; DcytoplasmBSA = 8.6 +/- 2.0 X 10(-8) cm2/s. Because DH2OBSA = 68 X 10(-8) cm2/s, these data suggest that the viscosity of sea urchin cytoplasm for protein is about eight times that of water and that most of the tubulin of the sea urchin cytoplasm exists as a dimer or small oligomer, which is unbound to structures that would impede its diffusion. Values and limitations of our method are discussed, and we draw attention to both the variations in D for single proteins in different cells and the importance of D for the upper limit to the rates of polymerization reactions.     

Crystallization and preliminary x-ray diffraction studies of two new antigen-antibody (lysozyme-Fab) complexes

The complexes between the Fab fragments of two monoclonal anti-lysozyme antibodies, Fab10.6.6 (high affinity) and D44.2 (lower affinity), and their specific antigen, hen egg-white lysozyme, have been crystallized. The antibodies recognize an antigenic determinant including Arg68, but differ significantly in their association constants for the antigen. Two crystalline forms were obtained for the complex with FabF10.6.6, the higher affinity antibody. One of them is monoclinic, space group P21, with unit cell dimensions a = 145.6 A, b = 78.1 A, c = 63.1 A, beta = 89.05 degrees, consistent with the presence of two molecules of the complex in the asymmetric unit. These crystals diffract X-rays beyond 3 A making this form suitable for high-resolution X-ray diffraction studies. The second form crystallizes in the triclinic space group P1, with unit cell dimensions a = 134.0 A, b = 144.7 A, c = 98.6 A, alpha = 90.30 degrees, beta = 97.1 degrees, gamma = 90.20 degrees, consistent with the presence of 10 to 12 molecules of the complex in the unit cell. These crystals do not diffract X-rays beyond 5 A resolution. The antigen-antibody complex between FabD44.2, the lower affinity antibody, and hen egg-white lysozyme crystallizes in space group P2(1)2(1)2(1), with unit cell dimensions a = 99.7 A, b = 167.3 A, c = 84.7 A, consistent with the presence of two molecules of the complex in the asymmetric unit. These crystals diffract X-rays beyond 2.5 A resolution.     

Relation between the lysozyme hydration isotherm and molecule packing in the solid phase

A micromethod for measurement of mass changes of glutaraldehyde treated protein crystals is presented. The method is based on analysis of transverse resonance vibration of a cantilevered tungsten micro-needle (1,5 divided by 2 mm long, 30 divided by 40 mkm in diameter) having the specimen stuck on its free sharp end. The method is accurate to within 0.1% for specimens with masses 0.1 divided by 0.01 mg. Absorption isotherms for water uptake by triclinic (P1), monoclinic (P2(1) ) and tetragonal (P4(3)2(1)2) crystals as well as by amorphous films of hen egg-white lysozyme are obtained. Hydration of lysozyme molecule is shown to be highly dependent on molecular packing in the sample both at low and high relative humidities.     

Crystallization and a preliminary X-ray diffraction study of isozyme 3-3 of glutathione S-transferase from rat liver

Crystals of the homodimeric isozyme 3-3 of glutathione S-transferase from rat liver have been obtained with the hanging drop method of vapor diffusion from ammonium sulfate solutions. The successful crystallization of the enzyme required the presence of both the enzyme inhibitor (9R, 10R)-9, 10-dihydro-9-(S-glutathionyl)-10-hydroxyphenanthrene and the detergent beta-octylglucopyranoside. The crystals belong to the monoclinic space group C2, with cell dimensions of a = 88.24(8) A, b = 69.44(4) A, c = 81.28(5) A, beta = 106.01(6) degrees, and contain four dimeric enzyme molecules per unit cell. The crystals diffract to at least 2.2 A and are suitable for X-ray crystallographic structure determination at high resolution.     

Viscoelastic properties of protein crystals: Triclinic crystals of hen egg white lysozyme in different conditions

A technique for the measurement of the dynamic Young's modulus E and logarithmic decrement ?? of protein crystals and other microscopic samples by the resonance method modified to a microscale is described. Monoclinic crystals of horse hemoglobin and sperm whale myoglobin; triclinic hen egg white lysozyme crystals, crosslinked by glutaraldehyde; and native and crosslinked needlelike lysozyme crystals were studied, as were amorphous protein films. The E of wet protein crystals is shown to be in the range (3–15) × 10³ kg/cm², ?? = 0.3–0.7. The crosslinking does not significantly affect the values. General elastic properties were analyzed for triclinic lysozyme crystals. No frequency dependence of E and ?? was found over the frequency range of 2.5–65 kHz. The temperature dependence was found to be characteristic for glassy polymers; the decrement of Young's modulus was ?2.4 ± 0.1%/°C. The guanidine HCl denaturation caused a 1000-fold decrease of E, its temperature dependence becoming similar to that of rubberlike materials. Studies of pH and salt effects showed E to be influenced by ionization of the acidic groups at pH 3–4.5. A humidity decrease from 100 to 30% caused a three- to fourfold increase of E and a decrease of ??. The final values of E = (40–60) × 10³ kg/cm² and ?? ? 0.1 were the same for dry crystals and amorphous films, whether crosslinked or not. These values may be attributed to the protein globular material.     

Phospholipid-protein coatings for chiral capillary electrochromatography

A phospholipid-bovine serum albumin (BSA) coating was developed for chiral capillary electrochromatographic separation of d- and l-tryptophan. Temperature, liposome composition, and liposome-BSA mixing and extrusion were found to have critical effects on the chiral separation of d- and l-tryptophan in terms of resolution, separation efficiency, and migration times. A solution of 0.5mM phosphatidylcholine (PC)-1 mg/ml BSA performed better than a solution of 0.5mM PC/phosphatidylserine (PS) (80:20, mol%)-1 mg/ml BSA as capillary coating; baseline separation of the enantiomers with satisfactory resolution was then achieved. Temperature played a crucial role in the chiral separation, as demonstrated for phospholipid-coated capillaries immobilized with BSA and lysozyme. The d- and l-tryptophans showed a marked difference in separation efficiency on the PC-BSA-coated capillary; the theoretical plate number of l-tryptophan was above 500,000 m(-1), whereas that of d-tryptophan was only about 22,000 m(-1). Immobilized BSA (pI 4.7) showed better chiral separation selectivity for the enantiomers than did immobilized lysozyme (pI 10.5), alpha-chymotrypsin (pI 8.1-8.3), or avidin (pI 10.0-10.5); also resolution was better and analysis time was faster. Hydrophobic interactions played an important role in the BSA-immobilized phospholipid-coated capillaries. The importance of protein net charge and molar mass for its immobilization in phospholipid-coated capillaries is discussed.     

Structure of Streptomyces erythraeus lysozyme at 6 A resolution

A 6 A resolution electron density map has been calculated for a bacterial lysozyme produced by Streptomyces erythraeus. This lysozyme differs from the vertebrate lysozyme in its size, amino acid composition, and specificity. The structure was determined by the method of isomorphous replacement. Three heavy atom derivatives were obtained by soaking crystals of the lysozyme in HgCl2, K2PtCl4, and UO2(NO3)26H2O. The resulting electron density map clearly shows the molecular boundary. The molecule is ellipsoidal in shape with average dimensions 50 A X 35 A X 35 A. High resolution analysis and sequence analysis of the molecule are in progress.     

The conformation of serum albumin in solution: a combined phosphorescence depolarization-hydrodynamic modeling study

There is a striking disparity between the heart-shaped structure of human serum albumin (HSA) observed in single crystals and the elongated ellipsoid model used for decades to interpret the protein solution hydrodynamics at neutral pH. These two contrasting views could be reconciled if the protein were flexible enough to change its conformation in solution from that found in the crystal. To investigate this possibility we recorded the rotational motions in real time of an erythrosin-bovine serum albumin complex (Er-BSA) over an extended time range, using phosphorescence depolarization techniques. These measurements are consistent with the absence of independent motions of large protein segments in solution, in the time range from nanoseconds to fractions of milliseconds, and give a single rotational correlation time phi(BSA, 1 cP, 20 degrees C) = 40 +/- 2 ns. In addition, we report a detailed analysis of the protein hydrodynamics based on two bead-modeling methods. In the first, BSA was modeled as a triangular prismatic shell with optimized dimensions of 84 x 84 x 84 x 31.5 A, whereas in the second, the atomic-level structure of HSA obtained from crystallographic data was used to build a much more refined rough-shell model. In both cases, the predicted and experimental rotational diffusion rate and other hydrodynamic parameters were in good agreement. Therefore, the overall conformation in neutral solution of BSA, as of HSA, should be rigid, in the sense indicated above, and very similar to the heart-shaped structure observed in HSA crystals.     

Size dependence of the translational diffusion of large integral membrane proteins in liquid-crystalline phase lipid bilayers. A study using fluorescence recovery after photobleaching

The translational diffusion of bovine rhodopsin, the Ca2+-activated adenosinetriphosphatase of rabbit muscle sarcoplasmic reticulum, and the acetylcholine receptor monomer of Torpedo marmorata has been examined at a high dilution (molar ratios of lipid/protein greater than or equal to 3000/1) in liquid-crystalline phase phospholipid bilayer membranes by using the fluorescence recovery after photobleaching technique. These integral membrane proteins having molecular weights of about 37 000 for rhodopsin, about 100 000 for the adenosinetriphosphatase, and about 250 000 for the acetylcholine receptor were reconstituted into membranes of dimyristoylphosphatidylcholine (rhodopsin and acetylcholine receptor), soybean lipids (acetylcholine receptor), and a total lipid extract of rabbit muscle sarcoplasmic reticulum (adenosinetriphosphatase). The translational diffusion coefficients of all the proteins at 310 K were found to be in the range (1-3) X 10(-8) cm2/s. In consideration of the sizes of the membrane-bound portions of these proteins, this result is in agreement with the weak dependence of the translational diffusion coefficient upon diffusing particle size predicted by continuum fluid hydrodynamic models for the diffusion in membranes [Saffman, P. G., & Delbrück, M. (1975) Proc. Natl. Acad. Sci. U.S.A. 72, 3111-3113]. Lipid diffusion was also examined in th same lipid bilayers with the fluorescent lipid derivative N-(7-nitro-2,1,3-benzoxadiazol-4-yl)dimyristoylphosphatidylethanolamine. The translational diffusion coefficient for this lipid derivative was found to be in the range (9-14) X 10(-8) cm2/s at 310 K. In consideration of the dimensions of the lipid molecule, this value for the lipid diffusion coefficient is in agreement with the continuum fluid hydrodynamic model only if a near-complete slip boundary condition is assumed at the bilayer midplane. Alternatively, kinetic diffusion models [Tr?uble, H., & Sackmann. E. (1972) J. Am. Chem. Soc. 94, 4499-4510] may have to be invoked to explain the lipid diffusion behavior.     

Permeability of lysozyme tetragonal crystals to water

Diffusion of water within cross-linked tetragonal crystals of hen egg-white lysozyme has been measured and simulated on a computer using the X-ray structure of water-filled channels within the crystal lattice. Relative to the self-diffusion coefficient of bulk water molecules, the experimental diffusion coefficient of water within the crystal was found to be 13 times reduced in the (001) crystallographic plane and 5 times reduced in the [001] direction. Comparison of the experimental and computer simulated diffusion coefficients shows that steric limitations for water diffusion are mostly responsible for this reduction of the water diffusion in the crystal, with the self-diffusion coefficient of intracrystalline water reduced by no more than 30–40% as compared to that of bulk water.     

Crystallization of a calcium-binding lysozyme from horse milk

Crystals of the calcium-containing lysozyme from horse milk have been grown by precipitation with sodium phosphate. The crystals are orthorhombic space group P2(1)2(1)2(1) with cell dimensions a = 53.2, b = 57.1, and c = 38.2 A and contain a single molecule in the asymmetric unit. The crystals are suitable for high resolution x-ray structural analysis.     

Agar-based magnetic affinity support for protein adsorption

Magnetic colloidal particles were prepared by a coprecipitation method. The particles were composed of nanometer-sized superparamagnetic Fe(3)O(4) particles stabilized by lauric acid. Then, magnetic agar gel beads were produced by a water-in-oil emulsification method using a mixture of agar solution and the magnetic colloidal particles as the aqueous phase. A reactive triazine dye, Cibacron blue 3GA (CB), was coupled to the gel to prepare an agar-based magnetic affinity support (MAS) for protein adsorption. The support showed good magnetic responsiveness in a magnetic field. Bovine serum albumin (BSA) was used as a model protein to test adsorption equilibrium and kinetic behavior of the MAS. The adsorption equilibrium of BSA to the MAS was described by the Langmuir-type isotherm. Adsorption capacity of the MAS for BSA was up to 25 mg/mL at a CB coupling density of 1.6 micromol/mL. The effect of ionic strength on BSA adsorption was complex, exhibiting a maximum capacity at an ionic strength of 0.06 mol/L. The adsorption of BSA to the MAS was also influenced by pH. Uptake rate of BSA to the MAS was analyzed using a pore diffusion model. The pore diffusion coefficient was estimated to be 1.75 x 10(-11) m(2)/s. Finally, recycled use of the MAS demonstrated the stability of the MAS in protein adsorption and magnetic responsiveness.