Biomedical subjects

Arnold Vainrub

Publications and source records attributed to Arnold Vainrub.

5 recordsLinked to original sources

PubMed2006

Resolution of 90 nm (lambda/5) in an optical transmission microscope with an annular condenser.

Resolution of 90 nm was achieved with a research microscope simply by replacing the standard bright-field condenser with a homebuilt illumination system with a cardioid annular condenser. Diffraction gratings with 100 nm width lines as well as less than 100 nm size features of different-shaped objects were clearly visible on a calibrated microscope test slide. The resolution increase results from a known narrower diffraction pattern in coherent illumination for the annular aperture compared with the circular aperture. This explanation is supported by an excellent accord of calculated and measured diffraction patterns for a 50 nm radius disk.

Equipment Design↗

PubMed2004

Theoretical aspects of genomic variation screening using DNA microarrays.

We present a theoretical model for typical microarray-based single nucleotide polymorphism (SNP) assay of small genomic DNA amount. We derived the adsorption isotherm expressing the on-array hybridization efficiency in terms of genomic target sequence and concentration, oligonucleotide probe sequence and surface density, hybridization buffer, and temperature. This isotherm correctly describes the surface probe density effects, the sensitivity peak, and the melting temperature depression, and is in accord with published experiments. We discuss optimization of parallel SNP genotyping. Our estimates show that SNP detection at a single temperature in aqueous hybridization buffer is restricted by DNA regions that differ by less than 20% in GC content. We predict that the variety of genotyped SNPs could be substantially extended using an assay design with high probe density and a large fraction of probes hybridized.

Genetic Testing↗

PubMed2003

Sensitive quantitative nucleic acid detection using oligonucleotide microarrays.

We report a new theoretical approach to optimize the performance and quantify the results of gene expression oligonucleotide microarrays which are widely used in biomedical research. An on-array hybridization isotherm that takes into account the screened Coulomb repulsion between the assayed nucleic acid target and the layer of surface tethered oligonucleotide probes is presented. The hybridization efficiency is found as a function of the genomic target (sequence, length, and concentration), array parameters (probe sequence and length, surface probe density), and hybridization conditions (temperature and buffer ionic strength). We present simple relations for the hybridization signal maximum and the linear dynamic detection range and show explicit criteria for optimization. The approach is based on an extension of our recently published theory (Vainrub, A.; Pettitt, B. M. Phys. Rev. E 2002, 66, art. no.-041905) which we generalize here for the cases of target depletion effects and arbitrary target length.

Nucleic Acids↗

PubMed2003

Surface electrostatic effects in oligonucleotide microarrays: control and optimization of binding thermodynamics.

We present a theoretical thermodynamic framework for the design of more efficient oligonucleotide microarrays. A general thermodynamic relation is derived to describe the electrostatic surface effects on the binding of the assayed biomolecule to a surface-tethered molecular probe. The relation is applied to analyze how the nucleic acid target, the oligonuleotide probe, and their DNA duplex electrostatic interactions with the surface affect the hybridization on DNA arrays. Taking advantage of a closed form exact solution of the linear Poisson-Boltzmann equation for a charged ion-penetrable sphere in electrolyte solution interacting with a plane wall, we study the effects of the surface and solution conditions. Binding free energy is found as a function of the surface material, dielectric or metal, the surface charge density, linker molecule length, temperature, and added salt content. The charge or electric potential of the dielectric or metal surface, respectively, is shown to dominate the hybridization, especially at low added salt or short linker length. We predict that substantial enhancement of sensitivity, selectivity, and reliability of microarrays can be achieved by control of the surface conditions. As examples, we discuss how to overcome two limitations of current technologies: nonequal sensitivity of the probes with different GC and AT bases content, and poor match/mismatch discrimination. In addition, we suggest the design of microarray conditions where the tested nucleic acid is unfolded, thus making possible the screening of a larger sequence with single nucleotide resolution. These promising findings are discussed and further experimental tests suggested.

Base Sequence↗

PubMed2002

Coulomb blockage of hybridization in two-dimensional DNA arrays.

Experiments on DNA microarrays have revealed substantial differences in hybridization thermodynamics between DNA free in solution and surface tethered DNA. Here we develop a mean field model of the Coulomb effects in two-dimensional DNA arrays to understand the binding isotherms and thermal denaturation of the double helix. We find that the electrostatic repulsion of the assayed nucleic acid from the array of DNA probes dominates the binding thermodynamics, and thus causes the Coulomb blockage of the hybridization. The results explain, observed in DNA microarrays, the dramatic decrease of the hybridization efficiency and the thermal denaturation curve broadening as the probe surface density grows. We demonstrate application of the theory for evaluation and optimization of the sensitivity, specificity, and the dynamic range of DNA array devices.

Biophysical Phenomena↗