Biomedical subjects

A Aldroubi

Publications and source records attributed to A Aldroubi.

6 recordsLinked to original sources

PubMed1992

Magnification mismatches between micrographs: corrective procedures and implications for structural analysis.

Quantitative structural analysis from electron micrographs of biological macromolecules inevitably requires the synthesis of data from many parts of the same micrograph and, ultimately, from multiple micrographs. Higher resolutions require the inclusion of progressively more data, and for the particles analyzed to be consistent to within ever more stringent limits. Disparities in magnification between micrographs or even within the field of one micrograph, arising from lens hysteresis or distortions, limit the resolution of such analyses. A quantitative assessment of this effect shows that its severity depends on the size of the particle under study: for particles that are 100 nm in diameter, for example, a 2% discrepancy in magnification restricts the resolution to approximately 5 nm. In this study, we derive and describe the properties of a family of algorithms designed for cross-calibrating the magnifications of particles from different micrographs, or from widely differing parts of the same micrograph. This approach is based on the assumption that all of the particles are of identical size: thus, it is applicable primarily to cryo-electron micrographs in which native dimensions are precisely preserved. As applied to icosahedral virus capsids, this procedure is accurate to within 0.1-0.2%, provided that at least five randomly oriented particles are included in the calculation. The algorithm is stable in the presence of noise levels typical of those encountered in practice, and is readily adaptable to non-isometric particles. It may also be used to discriminate subpopulations of subtly different sizes.

Algorithms↗

PubMed1992

Minimal electrophoresis time for DNA sequencing.

This study presents a mathematical approach that allows one to determine the shortest electrophoresis time and migration path length required for DNA sequencing. The calculation was applied to the capillary electrophoresis of a DNA sequencing separation and showed that acceptable resolution could be obtained using a shorter path length than anticipated.

Electrophoresis↗

PubMed1991

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↗

PubMed1991

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↗

PubMed1990

On the uniqueness of quasi-static solutions of some linear models of left ventricular mechanics.

We review two models describing the material properties of heart muscle: the fluid-fiber model and the fluid-fiber-collagen model. We show that the fluid-fiber description gives rise to non-uniqueness when used in ventricular modeling while the fluid-fiber-collagen description does not. We derive a general cavity pressure-volume relation for an extended class family of linear models of the heart's left ventricle.

Biomechanical Phenomena↗

PubMedDate not supplied

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↗