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D Tietz

Publications and source records attributed to D Tietz.

10 recordsLinked to original sources

Concave Ferguson plots of DNA fragments and convex Ferguson plots of bacteriophages: evaluation of molecular and fiber properties, using desktop computers.

A desktop computer program evaluating physical properties of DNA and bacteriophages is presented. The analysis is based on data obtained from capillary and submarine-type agarose electrophoresis. Native molecular/particle properties and properties of the gel (or polymer) medium can be derived from electrophoresis at several gel concentrations. This is done conveniently by a computerized evaluation of the semi-logarithmic plot of mobility vs. gel concentration, designated the Ferguson plot. In application to most proteins, this plot is linear and computer programs exist to evaluate it. However, nonlinear Ferguson plots have assumed great importance in view of the fact that the plots are concave for DNA. Similarly, convex plots are important since they prevail in the electrophoresis of large particles in agarose. The computer program reported here is the first to (i) address concave Ferguson plots and (ii) allow for the evaluation of both cases using a desktop computer. Program ELPHOFIT version 2.0, a Macintosh application, is available upon request.

Bacteriophages

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.

Computers

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.

Algorithms

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.

Bacterial Outer Membrane Proteins

Gel electrophoresis of polystyrene particles in glutaraldehyde crosslinked polyvinyl alcohol.

Polystyrene sulfate and carboxylate particles (19-189 nm radius) were subjected to electrophoresis in glutaraldehyde crosslinked polyvinyl alcohol of molecular weight 25.000 and 650.000 Da at various concentrations. The degree of crosslinking is severely limited by the mechanical properties of the gels that deteriorate beyond a glutaraldehyde concentration which decreases with increasing polyvinyl alcohol chain length. The effective fiber radius of the short-chain and long-chain polymer fiber was 45 +/- 25 and 131 +/- 47 nm, respectively. Thus, these media do not significantly exceed the apparent fiber thickness of agarose, are more difficult to prepare--but are well-defined synthetic products rather than natural ones, and have the advantage of carrying no net charge and can therefore be expected to exhibit no electroendosmosis.

Cross-Linking Reagents

Procedures and computer program for deriving the Ferguson plot from electrophoresis in a single pore gradient gel: application to agarose gel and a polystyrene particle.

This study presents a computerized evaluation of pore gradient gel electrophoretograms to arrive at estimates for both the particle-free mobility and retardation coefficient, which is related to particle size. Agarose pore gradient gels ranging from 0.2 to 1.1% agarose were formed. Gel gradients were stabilized during their formation by a density gradient of 0-20% 5-(N-2,3-dihydroxypropylacetamido)- 2,4,6-triiodo-N,N'bis-(2,3-dihydroxypropyl)-isophthalamide (Nycodenz). Densitometry of gelled-in Bromophenol Blue showed that these pore gradients exhibited a linear central segment and were reproducible. Migration distances of polystyrene sulfate microspheres (36.5 nm radius) in agarose pore gradient gel electrophoresis were determined by time-lapse photography at several durations of electrophoresis. These migration distances were evaluated as a function of migration time as previously reported (D. Tietz, Adv. Electrophoresis 1988, 2, 109-169). Although this is not necessarily required, the mathematical approach used in this study assumed linearity of both the pore gradient and the Ferguson plot for reasons of simplicity. The data evaluation on the basis of the extended Ogston model is incorporated in a user-friendly program, GRADFIT, which is designed for personal computers (Macintosh). The results obtained are compared with (1) conventional electrophoresis using several gels of single concentration with and without Nycodenz, and (ii) a different mathematical approach for the analysis of gradient gels (Rodbard et al., Anal. Biochem. 1971, 40, 135-157). Moreover, a simple procedure for evaluating linear pore gradient gels using linear regression analysis is presented. It is concluded that the values of particle-free mobility and retardation coefficient derived from pore gradient gel electrophoresis using the different mathematical methods are statistically indistinguishable from each other. However, these values are different, albeit close, to those obtained from conventional Ferguson plots. One of the possible reasons for this relatively minor discrepancy is that the particle-free mobility changed slightly during electrophoresis, which has a different effect on electrophoresis in homogeneous gels (single time measurement) and pore gradient gels (multiple time measurements). The characterization of particles according to size and charge by pore gradient electrophoresis provides a significant operational simplification and sample economy compared to that requiring the use of several gel concentrations, although at the price of increased requirements of instrumentation.

Confidence Intervals

Sieving of ionic constituents across moving boundaries in gel electrophoresis.

The representative beta-hydroxyethylmorpholinium-chloride-bicinate moving boundary with a trailing ion net mobility relative to Na+ of 0.41, detected by precipitation of chloride with silver nitrate, exhibits a decreasing chloride mobility at increasing polyacrylamide gel concentrations from 3.5 to 45%T, 5%CBis. This decrease, largely due to an increase of field strength at constant current, is described by a convex* plot of log (mobility) vs. %T (Ferguson plot) and signifies that chloride/bicinate are sieved by the gel. In agarose gels, the same plot of mobility vs. gel concentration is constant below 7% gel concentration, since in those gels field strength and migration rate remain the same within that gel concentration range. Both in polyacrylamide and in agarose gels the displacement rate of the chloride-bicinate boundary as a function of the time of electrophoresis or distance migrated remains invariant within 15%. The plot of log (mobility) vs. gel concentration extrapolated to 0%T is 5.85 and 5.41 (10(-5) cm2s-1V-1) for polyacrylamide and for agarose (SeaKem HGT-P,FMC) gels, respectively. The slightly decreased mobility intercept at 0%T for agarose is presumably due either to the electroendosmotic properties of agarose HGT-P and/or failure to Sufficiently take into account the flattening of the Ferguson plot in the polyacrylamide concentration range below 3% in which a transition from a gel to a fluid (sol) medium takes place.

Chlorides

Computer-assisted evaluation of polydisperse two-dimensional gel patterns of polysaccharide-protein conjugate preparations with regard to size and net charge.

Native Hemophilus influenzae polysaccharide-protein conjugate particles were analyzed by a two-dimensional agarose electrophoresis procedure. In view of their preparation by random chemical crosslinking, the conjugates necessarily exhibit a polydisperse two-dimensional gel pattern which varies depending on the conditions of the particular preparation. The polydisperse patterns were interpreted with regard to the size and surface net charge density of the conjugate on the basis of the extended Ogston model. Data processing was performed by a new program, designated ZWEIDI.DO, written in the language of M-LAB (modeling laboratory). The program computes particle and gel fiber specific parameters from the positions of standards and unknown(s) on the two-dimensional gel using a simultaneous linear least-square curve fitting routine. Based on these calculations, the program serves to compute a nomogram of iso-size and iso-free-mobility profiles. Superimposing these profiles on the gel patterns, the size and free mobility range of the polydisperse conjugate mixtures is obtained. Potentially, the procedure could serve as a tool for quality control in the production of conjugates as vaccines and for the physical characterization of polydisperse subcellular particles and vesicles.

Bacterial Proteins

Information on DNA conformation derived from transverse pore gradient gel electrophoresis in conjunction with an advanced data analysis applied to capillary electrophoresis in polymer media.

Abnormally slow migration of DNA is conventionally viewed as being due to an abnormal conformation relative to "linear" standards. The evidence for this rests on a few instances where nonlinear DNA structures have been established by independent methods and yield low mobilities relative to standards. Transverse pore gradient gel electrophoresis of authentically bent kinetoplast DNA and of an upstream activator sequence (UAS) of an E. coli operon promoter shows in addition that curves of migration distance vs. gel concentration ("Ferguson curves") of such abnormally conformed DNA differ from those of "linear" standards. Since Ferguson curves are interpretable with regard to molecular size in concordance with a mathematical model (Ogston model), transverse pore gradient gel electrophoresis provides a simple means of correlating abnormally slow migration of DNA with molecular size. In addition, transverse pore gradient gel electrophoresis is able to distinguish between DNA banding which exhibits a steeper dependence on gel concentration than "linear" standards from one which shows the same dependence. The former appears characteristic of circularly bent DNA and gives rise to a substantial retardation, the latter of bending across a knot or kink in the DNA chain associated with a relatively minor retardation relative to standards. Circularly bent restriction fragments formed from kinetoplast DNA retain the characteristic intersecting Ferguson curves on the transverse pore gradient gel. Another authentically "abnormal" DNA structure recognizable on transverse pore gradient gels is supercoiled DNA derived from the reaction of topoisomerase with a plasmid. Different lengths of supercoiled sequences give rise to parallel Ferguson curves clearly intersecting with those of linear standards.(ABSTRACT TRUNCATED AT 250 WORDS)

Animals

Advances in DNA electrophoresis in polymer solutions.

DNA electrophoresis in gels and solutions of agarose and polyacrylamide was objectively evaluated with regard to separation efficiency at optimal polymer concentrations. In application to DNA fragments, polyacrylamide gels were superior for separating fragments of less than 7800 bp, and agarose gels are the best choice for larger fragments. Agarose solutions are nearly as good as polyacrylamide gels for small DNA (< 300 bp). Agarose solutions have a higher efficiency than polyacrylamide solutions for DNA of less than 1200 bp. Separation efficiency sharply decreases with increasing length of DNA. Retardation in polyacrylamide solutions was found to depend on polymer length in a biphasic fashion. The choice of resolving polymer concentrations depends on the progressive stretching of DNA in proportion to polymer concentration. The rate of that stretching appears higher in polyacrylmide solution than in gels or in liquid or gelled agarose. Application of polymer solutions to capillary electrophoresis raises further problems concerning agarose plugs, DNA interactions with the polymers, operation at low field strength and long durations as well as detection sensitivity.

Acrylic Resins