Thermodynamic binding constants

The Adair equation is equivalent to the BI written in terms of the thermodynamic binding constants AT,- (see Section 2.3), namely. 

In a second experiment designed to determine thermodynamic binding constants of pyrazines with the protein types, only a 400 mg level of protein was used. This was equivalent to a 16% soy substituted ground beef. The protein was preheated in the microreactor prior to injecting 2 microliters of a standard solution of methyl substituted pyrazines in heptane. Six concentrations from 3mM to 0.03mM were tested at 120° and 145°C. The standard solutions were heated under the same conditions as was the diffusate. Replicate values were averaged and binding parameters were determined from Klotz plots of the results. 

It is known that thermodynamic and structural studies are mutually complimentary and both are necessary for a complete elucidation of the molecular details of any binding process for the delineation of the molecular interaction involved at the interaction site. The Gibbs free energy change (AG) may be determined from the binding constant from the relation ... 

Thermodynamic control (Figure 1, right) is based on adsorption of substances until quasi-equilibrium stage. In this case, the surface ratio of the adsorbed species is defined by the ratio of products of their concentration and binding constant. This deposition is much less influenced by poorly controllable fluctuations of external conditions and provides much better reproducibility. The total coverage can be almost 100%. Because of these reasons, the thermodynamic control is advantageous for preparation of mixed nanostructured monolayers for electrochemical applications including a formation of spreader-bar structures for their application as molecular templates for synthesis of nanoparticles. 

However, an application of thermodynamic control may be complicated by too large difference in binding constant of adsorbed species. The highest concentration of an adsorbate in deposition solution cannot exceed its solubility. The lowest concentration should provide enough high amounts of molecules for formation of a monomolecular layer. For most of compounds and... 

The stability of a trivial assembly is simply determined by the thermodynamic properties of the discrete intermolecular binding interactions involved. Cooperative assembly processes involve an intramolecular cyclization, and this leads to an enhanced thermodynamic stability compared with the trivial analogs. The increase in stability is quantified by the parameter EM, the effective molarity of the intramolecular process, as first introduced in the study of intramolecular covalent cyclization reactions (6,7). EM is defined as the ratio of the binding constant of the intramolecular interaction to the binding constant of the corresponding intermolecular interaction (Scheme 2). The former can be determined by measuring the stability of the self-assembled structure, and the latter value is determined using simple monofunctional reference compounds. 

Higuchi and Lachman [122] pioneered the approach of improving drug stability by complexation. They showed that aromatic esters can be stabilized in aqueous solutions in the presence of xanthines such as caffeine. Thus, the half-lives of benzocaine, procaine hydrochloride, and tetracaine are increased by approximately two- to fivefold in the presence of 2.5% caffeine. This increase in stability is attributed to the formation of a less reactive complex between caffeine and the aromatic ester. Professor K. A. Connors has written a comprehensive textbook that describes methods for the measurement of binding constants for complex formation in solution—along with discussions of pertinent thermodynamics, modeling statistics,... 

We see that the functional information in this network concerns concentrations and acts through selective binding constants, which being thermodynamically fixed factors, are only partly linked to a code (see Appendix 4A). The sources and the receivers of the information have the common language of binding specificity given by the nature of atoms in the messengers, which can be an environmental ion,... 

Such internal thermodynamic equilibria where A is a protein are found for non-metal components, including free coenzymes and substrates where B is a small molecule, or where free M is an ion of either a non-metal, e.g. Cl" or HCOj, or a metal, e.g. K+ or Mg2+, or is H+, and they are involved in, even necessary for, catalysis, pumping and cooperative controls of many metabolic paths. All such combinations reach equilibrium, as long as exchange is fast, where a fast rate can be taken as, say, 10-3 s for dissociation in cells. Note that equilibria with defined binding constants for AB or AM formation in any system reduce the number of variables and hence AB and AM concentrations are defined by those of free A, B and M, leaving two independent variables for each equilibrium. In some cases, the... 

The identity of the hard donor group and how it is incorporated in a molecular structure has a bearing on the affinity of a siderophore for iron(III). An analysis of siderophore structure and its relationship to iron(III) binding affinity as expressed by the thermodynamic stability constant is useful in understanding structure/function relationships and in the design of siderophore mimics for specific applications. 

Solution equilibria for gadolinium imaging agents have been studied with consideration for pharmacokinetic, protein binding, elimination, and safety aspects of the dmgs. The thermodynamic stability constant, Kq defined by equation 7.4 must be large for clinically viable agents. Some Kq l data are listed in Table 7.3. 

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