A model for Structure and Thermodynamics of ssDNA and dsDNA Near a Surface: a Coarse Grained Approach.

New methods based on surfaces or beads have allowed measurement of properties of single DNA molecules in very accurate ways. Theoretical coarse grained models have been developed to understand the behavior of single stranded and double stranded DNA. These models have been shown to be accurate and relatively simple for very short systems of 6-8 base pairs near surfaces. Comparatively less is known about the influence of a surface on the secondary structures of longer molecules important to many technologies. Surface fields due to either applied potentials and/or dielectric boundaries are not in current surface mounted coarse grained models. To gain insight into longer and surface mounted sequences we parameterized a discretized worm-like chain model. Each link is considered a sphere of 6 base pairs in length for dsDNA, and 1.5 bases for ssDNA (requiring an always even number of spheres). For this demonstration of the model, the chain is tethered to a surface by a fixed length, non-interacting 0.536 nm linker. Configurational sampling was achieved via Monte-Carlo simulation. Our model successfully reproduces end to end distance averages from experimental results, in agreement with polymer theory and all atom simulations. Our average tilt results are also in agreement with all atom simulations for the case of dense systems.

Precise measurement of the resolution in light microscopy using Fourier transform.

The resolution power of light microscope has been accurately measured (+/-5%) by Fourier transform of various object images and further evaluation of the highest spatial frequency in Fourier spectrum. Any unknown shape plane object with a shape feature's size smaller than the resolution to be measured was shown to provide a reliable resolution test. This simple method gives a direct measurement of the resolution power as defined by Abbe [Archiv. F. Mikroskopische Anat. 9, 413 (1873)]. The results have been justified by comparison to a standard resolution measurement by using calibrated periodic line patterns. Notably, the approach is applicable in super-resolution light microscopy (transmission, reflection, and fluorescence), where calibrated resolution targets do not occur. It was conveniently implemented by using a compact disk as a test object and free IMAGEJ imaging software.

Predicting DNA duplex stability on oligonucleotide arrays.

DNA duplex stability on oligonucleotide microarray was calculated using recently developed electrostatic theory of on-array hybridization thermodynamics. In this method, the first step is to finding the enthalpy and entropy of duplex formation in solution. This standard calculation was done with nearest-neighbor scheme and on-line software. Next the defined parameters and the array's single characteristic, the surface density of probes, are used to predict on-array duplex melting behavior. Reasonable accords of calculated and experimental melting curves for in situ synthesized microfluidic array were observed. The proposed method could be useful in microarray design and hybridization optimization. However, lack of melting curve measurements for different microarray platforms makes more experiments desirable to determine the method's accuracy.

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.

Accurate prediction of binding thermodynamics for DNA on surfaces.

For DNA mounted on surfaces for microarrays, microbeads, and nanoparticles, the nature of the random attachment of oligonucleotide probes to an amorphous surface gives rise to a locally inhomogeneous probe density. These fluctuations of the probe surface density are inherent to all common surface or bead platforms, regardless of whether they exploit either an attachment of presynthesized probes or probes synthesized in situ on the surface. Here, we demonstrate for the first time the crucial role of the probe surface density fluctuations in the performance of DNA arrays. We account for the density fluctuations with a disordered two-dimensional surface model and derive the corresponding array hybridization isotherm that includes a counterion screened electrostatic repulsion between the assayed DNA and probe array. The calculated melting curves are in excellent agreement with published experimental results for arrays with both presynthesized and in situ synthesized oligonucleotide probes. The approach developed allows one to accurately predict the melting curves of DNA arrays using only the known sequence-dependent hybridization enthalpy and entropy in solution and the experimental macroscopic surface density of probes. This opens the way to high-precision theoretical design and optimization of probes and primers in widely used DNA array-based high-throughput technologies for gene expression, genotyping, next-generation sequencing, and surface polymerase extension.

Free energy considerations for nucleic acids with dangling ends near a surface: a coarse grained approach.

A coarse grained model for the thermodynamics of nucleic acid hybridization near surfaces has been extended and parameterized to consider the contribution of unpaired dangling ends. The parameters of the model differ when representing a double stranded DNA section or a single stranded DNA section. The thermodynamic effects of the possibility of different dangling end combinations were considered in the presence of different types of surfaces. Configurational sampling was achieved by the Metropolis Monte Carlo method. To gain a more complete picture of the free energy changes, an estimation of the conformational entropy was included. We find a strong thermodynamic effect for dangling mismatches due to sequence requirements when they are nearer the surface as opposed to being held away from the surface.

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.

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.

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.

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.