Determination of a particle's radius by two-dimensional agarose gel electrophoresis

Development of a novel two-dimensional gel electrophoresis protocol with agarose native gel electrophoresis

A new protocol for conducting two-dimensional (2D) electrophoresis was developed by combining the recently developed agarose native gel electrophoresis with either vertical sodium dodecyl sulfate (SDS) polyacrylamide gel electrophoresis (PAGE) or flat SDS agarose gel electrophoresis. Our innovative technique utilizes His/MES buffer (pH 6.1) during the first-dimensional (1D) agarose native gel electrophoresis, which allows for the simultaneous and clear visualization of basic and acidic proteins in their native states or complex structures. Our agarose gel electrophoresis is a true native electrophoresis, unlike blue native-PAGE, which relies on the intrinsic charged states of the proteins and their complexes without the need for dye binding. In the 2D, the gel strip from the 1D agarose gel electrophoresis is soaked in SDS and placed on top of the vertical SDS-PAGE gels or the edge of the flat SDS-MetaPhor high-resolution agarose gels. This allows for customized operation using a single electrophoresis device at a low cost. This technique has been successfully applied to analyze various proteins, including five model proteins (BSA, factor Xa, ovotransferrin, IgG, and lysozyme), monoclonal antibodies with slightly different isoelectric points, polyclonal antibodies, and antigen-antibody complexes, as well as complex proteins such as IgM pentamer and β-galactosidase tetramer. Our protocol can be completed within a day, taking approximately 5-6 h, and can be expanded further into Western blot analysis, mass spectrometry analysis, and other analytical methods.

Computer-assisted 2-D agarose electrophoresis ofHaemophilus influenzae type B meningitis vaccines and analysis of polydisperse particle populations in the size range of viruses: A review

When protein-polysaccharide conjugated vaccines were first developed for the immunization of small children against meningitis caused by infection with Haemophilus influenzae type b (Hib), the vaccine preparations varied in immunogenicity. Testing for immunogenicity was time-consuming and alternative analytical procedures for determining vaccine quality were unsatisfactory. For example, due to the very high molecular weight of the vaccine particles, immunogens could only be physically characterized as a fraction in the void volume of Sepharose gel filtration. In search of better analytical methods, a computer-assisted electrophoretic technique for analyzing such vaccines was developed in the period from 1983 to 1995. This new approach made it possible to analyze highly negatively charged particles as large as or larger than intact viruses. 2-D gel patterns were generated that varied depending on the conditions of the particular vaccine preparation and were therefore characteristic of each vaccine sample. Thus, vaccine particle populations with a continuous size variation over a wide range (polydisperse) could be characterized according to size and free mobility (related to particle surface net charge density). These advances are reviewed in this article, since the developed methods are still a promising tool for vaccine quality control and for predicting immunogen effectiveness in the production of vaccines. The technique is potentially beneficial for Hib immunogens and other high-molecular-mass vaccines. Additional biomedical applications for this nondenaturing electrophoretic technique are briefly discussed and detailed information about computational and mathematical procedures and theoretical aspects is provided in the Appendices.

Identification of Subunit−Subunit Interactions in Bacteriophage P22 Procapsids by Chemical Cross-linking and Mass Spectrometry

Viral capsids are dynamic structures which self-assemble and undergo a series of structural transformations to form infectious viruses. The dsDNA bacteriophage P22 is used as a model system to study the assembly and maturation of icosahedral dsDNA viruses. The P22 procapsid, which is the viral capsid precursor, is assembled from coat protein with the aid of scaffolding protein. Upon DNA packaging, the capsid lattice expands and becomes a stable virion. Chemical cross-linking analyzed by mass spectrometry was used to identify residue specific inter- and intra-subunit interactions in the P22 procapsids. All the intersubunit cross-links occurred between residues clustered in a loop region (residues 157-207) which was previously identified by mass spectrometry based on hydrogen/deuterium exchange and biochemical experiments. DSP and BS3 which have similar distance constraints (12 angstroms and 11.4 angstroms, respectively) cross-linked the same residues between two subunits in the procapsids (K183-K183), whereas DST, a shorter cross-linker, cross-linked lysine 175 in one subunit to lysine 183 in another subunit. The replacement of threonine with a cysteine at residue 182 immediately adjacent to the K183 cross-linking site resulted in slow spontaneous disulfide bond formation in the procapsids without perturbing capsid integrity, thus suggesting flexibility within the loop region and close proximity between neighboring loop regions. To build a detailed structure model, we have predicted the secondary structure elements of the P22 coat protein, and attempted to thread the prediction onto identified helical elements of cryoEM 3D reconstruction. In this model, the loop regions where chemical cross-linkings occurred correspond to the extra density (ED) regions which protrude upward from the outside of the capsids and face one another around the symmetry axes.

A second-site suppressor of a folding defect functions via interactions with a chaperone network to improve folding and assembly in vivo

Single amino acid substitutions in a protein can cause misfolding and aggregation to occur. Protein misfolding can be rescued by second-site amino acid substitutions called suppressor substitutions (su), commonly through stabilizing the native state of the protein or by increasing the rate of folding. Here we report evidence that su substitutions that rescue bacteriophage P22 temperature-sensitive-folding (tsf) coat protein variants function in a novel way. The ability of tsf:su coat proteins to fold and assemble under a variety of cellular conditions was determined by monitoring levels of phage production. The tsf:su coat proteins were found to more effectively utilize P22 scaffolding protein, an assembly chaperone, as compared with their tsf parents. Phage-infected cells were radioactively labelled to quantify the associations between coat protein variants and folding and assembly chaperones. Phage carrying the tsf:su coat proteins induced more GroEL and GroES, and increased formation of protein:chaperone complexes as compared with their tsf parents. We propose that the su substitutions result in coat proteins that are more assembly competent in vivo because of a chaperone-driven kinetic partitioning between aggregation-prone intermediates and the final assembled state. Through more proficient use of this chaperone network, the su substitutions exhibit a novel means of suppression of a folding defect.

Analysis of biological motors via multidimensional fractionation: a strategy

Past strategies for the analysis of ATP-fueled motors include single-motor analysis. Single-motor analysis bypasses limitations caused by motor asynchrony during the traditional ensemble averaging analysis. The present communication describes revised ensemble averaging analysis that also can bypass asynchrony-derived limitations. This revised analysis makes measurements of one motor variable dependent on the others. One example is nondenaturing gel electrophoresis with more than one dimension. Each dimension measures one of the motor variables. This multidimensional procedure is used to obtain the values of "conformational" motor variables as a function of a "clock" motor variable. In theory, the cycle of the motor can be analyzed from a single multidimensional analysis of a collection of asynchronous motors sampled at only one time. That is to say, motor asynchrony becomes an asset, rather than a liability.

Penton release from P22 heat-expanded capsids suggests importance of stabilizing penton-hexon interactions during capsid maturation

Bacteriophage assembly frequently begins with the formation of a precursor capsid that serves as a DNA packaging machine. The DNA packaging is accompanied by a morphogenesis of the small round precursor capsid into a large polyhedral DNA-containing mature phage. In vitro, this transformation can be induced by heat or chemical treatment of P22 procapsids. In this work, we examine bacteriophage P22 morphogenesis by comparing three-dimensional structures of capsids expanded both in vitro by heat treatment and in vivo by DNA packaging. The heat-expanded capsid reveals a structure that is virtually the same as the in vivo expanded capsid except that the pentons, normally present at the icosahedral fivefold positions, have been released. The similarities of these two capsid structures suggest that the mechanism of heat expansion is similar to in vivo expansion. The loss of the pentons further suggests the necessity of specific penton-hexon interactions during expansion. We propose a model whereby the penton-hexon interactions are stabilized through interactions of DNA, coat protein, and other minor proteins. When considered in the context of other studies using chemical or heat treatment of capsids, our study indicates that penton release may be a common trend among double-stranded DNA containing viruses.

Conformational transformations in the protein lattice of phage P22 procapsids

During the packaging of double-stranded DNA by bacterial viruses, the precursor procapsid loses its internal core of scaffolding protein and undergoes a substantial expansion to form the mature virion. Here we show that upon heating, purified P22 procapsids release their scaffolding protein subunits, and the coat protein lattice expands in the absence of any other cellular or viral components. Following these processes by differential scanning calorimetry revealed four different transitions that correlated with structural transitions in the coat protein shells. Exit of scaffolding protein from the procapsid occurred reversibly and just above physiological temperature. Expansion of the procapsid lattice, which was exothermic, occurred after the release of scaffolding protein. Partial denaturation of coat subunits within the intact shell structure was detected prior to the major endothermic event. This major endotherm occurred above 80 degrees C and represents particle breakage and irreversible coat protein denaturation. The results indicate that the coat subunits are designed to form a metastable precursor lattice, which appears to be separated from the mature lattice by a kinetic barrier.

Bacteriophage P22 portal protein is part of the gauge that regulates packing density of intravirion DNA

The complex double-stranded DNA bacteriophages assemble DNA-free protein shells (procapsids) that subsequently package DNA. In the case of several double-stranded DNA bacteriophages, including P22, packaging is associated with cutting of DNA from the concatemeric molecule that results from replication. The mature intravirion P22 DNA has both non-unique (circularly permuted) ends and a length that is determined by the procapsid. In all known cases, procapsids consist of an outer coat protein, an interior scaffolding protein that assists in the assembly of the coat protein shell, and a ring of 12 identical portal protein subunits through which the DNA is presumed to enter the procapsid. To investigate the role of the portal protein in cutting permuted DNA from concatemers, we have characterized P22 portal protein mutants. The effects of several single amino acid changes in the P22 portal protein on the length of the DNA packaged, the density to which DNA is condensed within the virion, and the outer radius of the capsid have been determined. The results obtained with one mutant (NT5/1a) indicate no change (+/- 0.5%) in the radius of the capsid, but mature DNA that is 4.7% longer and a packing density that is commensurately higher than those of wild-type P22. Thus, the portal protein is part of the gauge that regulates the length and packaging density of DNA in bacteriophage P22. We argue that these findings make models for DNA packaging less likely in which the packing density is a property solely of the coat protein shell or of the DNA itself.

Effect of ionic strength and pH on the activity of pyruvate dehydrogenase complex from pig kidney cortex

The activity of pyruvate dehydrogenase complex (PDC) purified from pig kidney cortex is sensitive to changes in ionic strength (mu). At low ionic strength (mu = 0.04 M) the specific activity of PDC was 12.22 mumol/min/mg, whereas at high ionic strength (mu = 0.15 M) the measured activity of the complex decreased to 4.88 mumol/min/mg. The optimum activity of PDC was achieved within a small range of ionic strength, mu = 0.035-0.040 M. Increasing the ionic strength from mu = 0.05 to mu = 0.15 M decreased the s0.5 for pyruvate from 125 to 72 microM and increased the Hill coefficient from 1.0 to 1.3. The effect of pH on PDC activity also was dependent upon ionic strength. At pH 7.2 the activity of PDC at mu = 0.05 and mu = 0.15 M was 90 and 55% of the maximal activity, respectively. Furthermore, the effects of Na+, K+, HCO3-, Cl-, and HPO4(2-) on PDC activity were dependent on ionic strength and pH. The addition of K+ (80 mM) at mu = 0.10 and mu = 0.15 M increased the activity of PDC by 12 and 42%, respectively. Lowering the pH from 8.2 to 7.5 resulted in a decrease in the s0.5 for pyruvate from 179 to 110 microM and from 110 to 35 microM in the presence and absence of K+ (80 mM), Na+ (20 mM), Cl- (20 mM), HCO3- (20 mM), and HPO4(2-) (10 mM), respectively. The observed changes in the properties of PDC in response to changes in ionic strength likely was a result of changes in the intramolecular electrostatic interactions within the complex. In this regard it was determined using two-dimensional agarose gel electrophoresis of the intact multienzyme complex that increasing the ionic strength to which PDC is exposed decreased the measured radius of PDC and may have decreased the electronegative surface charge of the complex.

Computerized methods for analyzing two-dimensional agarose gel electropherograms

Previous methods interpret zonal or polydisperse gel patterns of two-dimensional Serwer-type gels in terms of size and free mobility (surface net charge density). These two parameters have been determined for each component without quantitatively measuring the abundance of the components. The present study advances these previous methods by determining the relative concentration of each component by computer evaluation of densitometrically analyzed gel patterns. Suitable procedures and their underlying algorithms are presented. The mathematical routines are implemented in a user-friendly software package, called GelFit and designed for a Macintosh personal computer. The program input consists of digitized images of gel staining patterns exemplified by those obtained from electrophoresis of native subcellular-sized particles. The data are processed through the following steps: (i) Noise reduction and calibration. (ii) Geometrical transformation of the pattern onto a rectangular size/free mobility coordinate system using rationales of the extended Ogston model. (iii) Analysis of the transformed image to determine density maxima, density profiles along iso-free-mobility or iso-size lines, curve fitting of one-dimensional profiles or two-dimensional surfaces using Gaussian functions and curve stripping of surfaces to determine the possible number of particle populations.

The distribution of particles characterized by size and free mobility within polydisperse populations of protein-polysaccharide conjugates, determined from two-dimensional agarose electropherograms

New approaches for the characterization of polydisperse particle populations are presented*. The investigated samples contain virus-sized protein-polysaccharide conjugates which had previously been prepared as immunogens against bacterial meningitis (Hib). The analysis is based on two-dimensional agarose electrophoresis (Serwer-type). This method, like the one of O'Farrell, achieves a separation according to size and charge. It relies on a different principle, however, and is applicable to nondenatured particles which are 100 to more than 1000 times larger in mass than regular uncrosslinked proteins. Data from stained gel patterns are evaluated by the computer program ELPHOFIT, which makes it possible to standardize the gel and to construct a nomogram which defines every position on the gel in terms of particle size and free mobility (related to surface net charge density). The output of ELPHOFIT, consisting of nomogram parameters, is transferred to the image processing program GELFIT. This software is used to evaluate the computer images obtained by digitizing the stained gel patterns: (i) The nomogram is electronically superimposed on the computer image. (ii) The gel pattern is transformed from a curvilinear to a rectangular coordinate system of particle size and free mobility. The center of gravity as well as density maxima are given in coordinates of particle size and free mobility. Ranges of grey levels can be accentuated by adding 16 pseudocolors. (iii) Using surface-stripping techniques, GELFIT provides an estimate for the number of major subpopulations within each preparation. (iv) Numerical values for the distribution of particle size and free mobility are determined. Using program IMAGE, the quantitative physical assessment of a given conjugate preparation is presented in the form of a computer-generated three-dimensional plot, the shape of which serves to identify and characterize the preparation visually. The data analysis based on digitized two-dimensional gel patterns is automated to an extent that a technician can perform routine evaluations. It uses the Macintosh II personal computer.

Analysis of one-dimensional gels and two-dimensional Serwer-type gels on the basis of the extended Ogston model using personal computers

This report presents the stand-alone computer application ELPHOFIT, a software package for the analysis of gel electrophoretic data based on Ferguson plots. Either conventional one-dimensional gels or two-dimensional agarose gels (Serwer-type) can be evaluated. Special emphasis is on the latter gel type, which has been applied previously for the separation of DNA, intact viruses and polydisperse meningitis vaccines. ELPHOFIT is designed for Macintosh PCs and for the IBM XT, AT, PS/2 and compatibles. The program operates interactively with the user, who determines the course of evaluation. Data input is in the format of files providing values of gel electrophoretic migration distances or particle mobility (absolute or relative). Data processing involves a simultaneous least-square curve fitting algorithm (Newton-Gauss, Marquardt-Levenberg) which uses equations derived from the extended Ogston model. Functions are fit to the database by adjusting their variables, representing physical parameters of the gel and the electrophoresed particle. The program output consists of tables and graphics accompanied by an explanatory text providing the following information: (i) radius and free mobility of the electrophoresed particle, (ii) fiber radius, length and volume, mean or median pore radius of the gel, (iii) linear Ferguson plots, (iv) iso-free-mobility/iso-size nomogram for two-dimensional gels, (v) confidence ellipses, (vi) required parameters for image processing program GELFIT and (vii) goodness-of-fit and other statistical parameters, such as standard errors, dependency values, root-mean-square (RMS) error and determination coefficient. Other features of the program are (i) simulation of Serwer-type two-dimensional electrophoresis, (ii) standardization according to size, or size and free mobility, (iii) the conversion of particle radii to molecular (or particle) weight and vice versa, (iv) interconversion of DNA size specifications, i.e. the number of base pairs and the geometric mean radii, (v) computation of gel concentration for optimal resolution of two components, (vi) option to obtain a session record, (viii) option to establish a data output file containing the information of generated graphics (IBM only) and (ix) a text editing facility, e.g., for creating data files. Graphics (Macintosh version, PICT format) and text output files (both IBM and Macintosh versions, standard ASCII format) generated by ELPHOFIT are compatible with commercially available software.

Size determination of multienzyme complexes using two-dimensional agarose gel electrophoresis

In studies of the size and structure of multienzyme complexes, a procedure complementary to electron microscopy for determining the molecular dimensions of hydrated multisubunit complexes is needed. For some applications this procedure must be capable of detecting aggregation of complexes and must be applicable to impure preparations. In the present study, a procedure of two-dimensional agarose gel electrophoresis (2d-AGE) (Serwer, P. et al. Anal. Biochem. 152:339-345, 1986) was modified and employed to provide accurate size measurements of several classical multienzyme complexes. To improve band clarity and to achieve required gel pore sizes, a hydroxyethylated agarose was used. The effective pore's radius (PE) as a function of gel concentration was determined for this agarose in the range of PE values needed for multienzyme complexes (effective radius, R = 10-30 nm). Appropriate conditions were established to measure R values +/- 1% of the pyruvate (PDC), alpha-ketoglutarate (alpha-KGDC), and the branched chain alpha-keto acid (BCDC) dehydrogenase multienzyme complexes; the accuracy of R was limited by the accuracy of the determinations of the R value for the size standards. The PDC from bovine heart was found to have an R = 22.4 +/- 0.2 nm following cross-linking with glutaraldehyde that was necessary for stabilization of the complex. Dimers and trimers of PDC, present in the preparations used, were separated from monomeric PDC during 2d-AGE.(ABSTRACT TRUNCATED AT 250 WORDS)

Linear Ferguson plots of polystyrene sulfate size standards for the quantitative agarose gel electrophoresis of subcellular particles

Accurately standardized commercial polystyrene sulfate particles in agarose gel electrophoresis yield linear Ferguson plots at pH 7.4 over a gel concentration range up to 0.9% agarose which do not exhibit any significant sigmoidal curve elements, using either a discontinuous buffer system or a continuous buffer. Ferguson plots of these standard-sized particles were evaluated using alternatively a linear or convex model, by means of a newly developed set of programs (to be used in conjunction with program M-LAB) which (i) is sufficiently user-friendly to allow for quantitative agarose gel electrophoresis of subcellular-sized spherical particles based on their convex Ferguson plots with the same operational simplicity previously available for linear Ferguson plots only; (ii) simultaneously and interactively analyzes the Ferguson plots of all particles under consideration on the basis of an extended Ogston model.

Gel electrophoresis of intact subcellular particles

The review describes the application of gel electrophoresis to the characterization and separation of viruses, ribosomes, vesicles and other subcellular particles. The preparation of the sample, the choice of the buffer, the gel medium, the apparatus and the detection of the particle (staining and scanning) as well as the necessary theory are discussed. This includes the mathematical evaluation of experimental data on the basis of Ferguson plots using the extended Ogston theory. Simple methods and sophisticated computer simulation techniques are described and exemplified in application to the determination of particle size and charge, the pore size of the gel (unpublished data) and the two-dimensional agarose electrophoresis (unpublished). It is shown that the nature of the particle (e.g. spherical or rod-shaped, pliable or rigid texture) determines the shape of the non-linear Ferguson plot. In addition, the review gives a number of practical applications of gel electrophoresis, isoelectric focusing, titration curves and immuno-electrophoresis to subcellular particles. Pros and cons are evaluated. A comparison with other analytical procedures is made. The review is concluded by a futuristic outlook.

Agarose gel electrophoresis of bacteriophages and related particles

Viruses and related particles have been fractionated by electrophoresis through gels. For agarose gels, the radius at the exclusion limit for spheres varies from 1500 nm in a 0.04% gel to 3.6 nm in a 4.0% gel. Thus, the size of the gel's pores can be adjusted to sieve all known viruses. By measurement of electrophoretic mobility (mu) as a function of agarose concentration, the mu in the absence of a solid support (mu 0) can be determined for any particle. From the shape of a semilogarithmic plot of mu as a function of agarose percentage, a rod-shaped particle can be discriminated from a spherical particle. The sphere's radius can be determined from this plot with an accuracy of +/- 8%. Accuracy of +/- 1% has been more recently achieved using two-dimensional agarose gel electrophoresis. Though bacteriophages have been the primary object of study, the above techniques of agarose gel electrophoresis have also been applied to plant viruses and should be applicable to animal viruses. The mu 0 values measured for bacteriophages with and without their tail fibers suggest a mechanism of controlling attachment to a host. A related mechanism is proposed for the control of the virulence of animal viruses. Measurement of outer radius for different forms of the capsid of bacteriophage P22 reveals variability in outer radius too small to be detected by electron microscopy.

Exclusion of spheres by agarose gels during agarose gel electrophoresis: dependence on the sphere's radius and the gel's concentration

Agarose gel electrophoresis of spheres (radius = R) has been used to determine the effective radius (PE) of the pores of an agarose gel (percentage of agarose in a gel = A). The value of PE at a given A was taken to be the R of the largest sphere that enters the gel. When log PE is plotted as a function of log A, the results can be represented by: PE = 118A-0.74 for 0.2 less than or equal to A less than or equal to 4.0 (PE in nm). However, the data suggest significant nonlinearity in this plot, the magnitude of the exponent of the PE vs A relationship increasing by about 20% as A increases from 0.2 to 4.0. From these data, PE's as big as 1500 nm and as small as 36 nm can be achieved with agarose gels formed with unmodified, unadulterated agarose and usable for electrophoresis.