Scatchard model

The Henderson-Hasselbalch, Perdue-Lytle, and Scatchard models are special cases of an affinity spectrum model, defined by23,24... 

Mathematical Derivation of the Linear Data Treatment Model. Formation of the linear model is based on the Scatchard model which states ... 

This is the case for the C6H6 - CC14 system, but not for the C6H6 - CS2 system. Therefore, regular solution theory is not applicable to the C6H6-CS2 system. To test the Hildebrand-Scatchard model we use... 

The formation of the former direction is closely associated with the works of J.N. Bronsted, E.A. Guggenheim and G. Scatchard (1976), who in the 1920 s and 1930 s came up with the specific ion interaction theory. Based on this theory the Bronsted-Guggenheim-Scatchard model or specific ion interaction theory - SIT model was formed. It merges interaction of electrostatic and Coulomb forces of components in the solution in consideration of their individual properties. Laid in its basis were concepts of... 

Figure 4. The Scatchard plot, r/[D] vs. r, for MO + MPVI in 0.01 M NaCl. The Scatchard model fits in the region 0.7 r 1.0 and the McGhee-von Hippel model fits in the region 0 r 0.7.

Scatchard analysis Scattering studies Scavenger model Scav-Ox... 

Margules, and Scatchard-Hildebrand) are particular mathematical solutions to Eq. (48) these models do not satisfy Eqs. (45) and (46), except in the limiting case where the right-hand sides of these equations vanish. This limiting case provides a good approximation for mixtures at low pressures but introduces serious error for mixtures at high pressures, especially near critical conditions. 

Modeling of enzyme adsorption isotherms on an inorganic support using the Scatchard equation Equation (1) allow one to determine the binding constant. 

The method preferred in the NBA Thermochemical Data Base review is the specific ion interaction model in the form of the Bronsted-Guggenheim-Scatchard approach. 

Scatchard plots for ligand saturation behavior of an oligomeric protein exhibiting positive cooperativity, negative cooperativity, or independent binding behavior. For addition details, See Monod-Wyman-Changeux Cooperativity Model Scatchard Plot... 

Ligand Binding Cooperativity Koshland-Nemethy-Filmer Model Scatchard Equation Ligand-Induced Conformational Change... 

Standard Binding Model. The more commonly recognized form of the Scatchard equation can be written as follows ... 

In another paper, Liu et al. (30) described the interaction of hbronectin with heparin as a model system. The two distinct binding constants in the nanomolar range were derived from Scatchard plots and found in good agreement with published data. The established ACE binding assay was then applied to the molecular interaction of a kedarcidin chromophore with apoprotein. Dissociation constants in the lower micromolar range were calcu-... 

Equation 32 expresses the influence of the dielectric constant of the medium in the case of infinite dilution of solutions. The first term is attributed to the ionic charge and is of the Born form. Born (11) obtained a corresponding term in A (see Equation 24) in his derivation of the heat of hydration, and Scatchard (12) introduced it in the theory of activities. The second and third terms represent the influence of the dipolar part. Their form is essentially affected by the use of the Onsager model (5). 

For many proteins and many surfaces, the adsorption will be essentially irreversible, which will result in a Scatchard plot with a shape which is not easily analyzed. The models and methods presented here are not adequate for treating such data. It is important under such conditions to redo the adsorption experiment, preferably on a modified surface of lower binding site density or energy. Figure 12 outlines in schematic form what one might expect if this is done, although no such data are at present available in the literature. 

The simplest model is the Langmuir isotherm or its derivative, the Scatchard equation, the most widely used mathematical approach to describe quantitatively... 

The Scatchard plot for this model is a hyperbola (Fig. 4) and the asymptotes (14) can be used for the graphical estimation of the binding parameters ... 

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