Analyte, solution hybrid

The kinetic-diffusion approximation predicts an attachment coefficient similar to the hybrid theory for all CMDs and for both Og m 2 and 3 (Figs. 3 and 4). The advantage of this theory is that the average attachment coefficient can be calculated from an analytical solution numerical techniques are not required. 

This work discusses hybrid numerical-analytical solutions and mixed symbolic-numerical algorithms for solving transient fully developed flow and transient forced convection in micro-channels, making use of the Generalized Integral Transform Technique (GITT) and the Mathematica system. 

We recently considered the effect of the nucleic acid-surface electrostatic interaction on the thermodynamics of the surface hybridization [2-5, 22], This theory used an analytical solution of the linearized Poisson-Boltzmann boundary value problem for a charged sphere-surface interaction in electrolyte solution and corresponds to the system characterized by a low surface density of immobilized probes. To understand the motivation for that work and extensions, we need to consider the physical effects of a surface in solution and the theoretical tools available for their study. 

Another recent study highlighting a redox-active label employs metal colloids to signal target-probe hybridization. Magnetic beads derivatized with single-stranded DNA probe sequences were used to capture target and reporter sequences that had been labeled with nanoparticles composed of ZnS, PbS, or CdS. The beads were then physically removed from the analyte solution, and the particles were dissolved in acid. After adsorption of these ions onto solid electrodes, stripping voltammetry was used to quantify the... 

In this context, the first goal of this lecture is thus to illustrate the results obtained from a fairly general hybrid numerical-analytical solution for temperature distributions in a fluid flowing through two- or three-dimensional micro-channels, taking into account the velocity slip and temperature jump at the walls surfaces. For this purpose, a flexible approach was employed... 

Das S, Das T, Chakraborty S (2006) Analytical solutions for rate of DNA hybridization in a microchannel in presence of pressure-driven and electroosmotic flows. Sens Actuators B 114 957-963... 

Add analyte to hybridization solution in coated, blocked microwell Incubate for 20 min at 42°C Discard hybridization solution Wash with wash solution... 

In view of this information, it seemed of interest to investigate the PFT in cells with an initially inhomogeneous orientation, particularly in a hybrid cell where the state of polarization of the exciting radiation is perturbed much more strongly than in a homeotropic cell of the same thickness. The PFT in a hybrid cell in the field of an ordinary wave has already been considered theoretically. Unfortunately, even linearized equations for the near-threshold perturbation of the orientation in a hybrid cell have no analytic solutions, so that this treatment is limited to purely qualitative estimates. 

Ethynyllithium is one of the very first organometallic compounds to be computed at a reasonable ab initio level. This calculation involved Slater functions rather than Gaussian-lype orbitals because ethynyllithium is a linear molecule and the integrals for Slater functions on a line all have analytical solutions. The compound was found to be highly ionic, as expected. The formally sp-hybrid character of the carbon orbital of the C-Li bond also results in a bond length about 0.1 A shorter than in methyllithium. The electron density function of ethynyllithium was used to study the effect of basis set on superposition errors diffuse functions were found to be more important than d-orbitals in this regard. ... 

Dom and Liu (1993) used an accumulative plastic strain-based criterion for single lap joint strength prediction. A critical region was identified and the maximum accumulative effective plastic strain in the critical region was used as a parameter for strength prediction. Another approach is to use a hybrid method, for example, a global finite element model used with a localized analytical solution for a circular crack was proposed by Wahab et al. 2004. 

The terms involving V, Inn in Eqs. (11-40) and (11-44) couple various field components. These terms describe polarization phenomena due to the waveguide structure, as we discuss in the following section. This presents a complication as far as obtaining analytical solutions is concerned, but is the mathematical basis for the hybrid nature of the modal fields to be discussed in... 

Although the hybrid theory is the most correct theory to use in the prediction of unattached fractions, the error in using the kinetic-diffusion theory in place of the hybrid is small. The kinetic-diffusion theory has the advantage that the solution is in analytical form and thus is more convenient to use than the hybrid theory, which must be solved numerically. 

Another application of this methodology is to use several different copolymers to detect multiple analytes in a single sample. Each polymer would have a different antibody attached and be precipitated at a different temperature. This appears to be possible since one copolymer that precipitates at a lower temperature does not appear to remove a copolymer with a higher LCST from solution. (J. H. Priest, unpublished observations). It is also conceivable that a DNA probe-based assay could be included with a panel of immunoassays. After removal of the various antibody-copolymer conjugates at lower temperature sodium chloride would be added, the hybridization would be performed at 55 C and the DNA-copolymer conjugates precipitated at 65 C. 

Solution-based nucleic acid hybridization assays represent a class of analytical methodologies that provide for detection of target-probe hybridization events. Solution-based assays offer several advantages in comparison to configurations that use surface-bound probes, primarily from the standpoint of negating the requirement for immobilization of a probe sequence to a solid surface. Therefore, thermodynamic, kinetic and adsorptive effects that are relevant in terms of consideration of hybridization at interfaces are not encountered. Solution-based hybridization assays provide a simple way of detecting hybridization events in real-time. 

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