Determination of rate constants for the antigen-antibody reaction. Kinetic characteristics of interaction of soluble and corpuscular antigen with specific antibodies

Using the previously developed procedure, the rate and equilibrium constants for the interaction of antibodies with soluble or corpuscular antigens were determined. Cow milk casein was used as a soluble antigen, while heat-inactivated Staphylococcus aureus cells--as a corpuscular antigen. The values of kinetic constants for the above reactions are close to those for various antigen--antibody pairs obtained by other investigators.     

Determination of reaction rate constants in the mammillary system

It is shown that the individual rate constants can be determined for the composite chemical system: $$A + B_i \rightleftarrows C_i ; i = 1...N$$ with only measurements of the unbound species,A(t), required. The dissociation rate constants can be determined by direct analysis of a single steady state tracer study. The association constants then follow from the analysis of stable equilibrium determinations reported earlier (Hart, 1965). An approximate solution when tracer methods are in-applicable is also given.     

The antigen-antibody reaction in immunohistochemistry.

The problems of major concern in immunohistochemical practice are discussed in the following order: (a) the mechanism of the Ag-Ab reaction in fixed tissue as opposed to the in vitro reaction; (b) the chemistry of fixation and its influence on the final result of the immunohistochemical reaction; (c) the various procedures used for antigen retrieval in formaldehyde-fixed tissue; and (d) the consideration of the possible mechanism underlying heat-induced antigen retrieval. Suggestions for further work to attempt a clarification of the mechanism involved in the Ag-Ab reaction in immunohistochemistry resorting to existing histochemical methods for the demonstration of protein side groups are presented, together with some examples already published.     

Acetylcholinesterase inhibition by eserine: rate constants of reaction. Part II

The inhibition of eel acetylcholinesterase by physostigmine at 20 degrees and 25 degrees C have been investigated. In our evaluation the unimolecular reactivation rate constant, k3, the carbamylation rate constant, k2, and the binding constant, Ka, are the first simultaneously determined. The mechanism of this reaction is discussed.     

Determination the rate constants of some biexponential reactions

Reactions that are described by biexponential functions are typical for many biological processes. The kinetics of these reactions is described by transcendental irrational equations interconnecting the reagent concentrations, time and rate constants. Meantime, their graphical representation in the semi-logarithmic coordinates can be decomposed into two straight lines that intercept at some angle. New simple methods for asymptotic numerical solution of the equations describing these reactions are suggested. These methods permit determining the rate constants using the kinetic data of initial substance concentration, which transform into final product according to a two-component model, a sequential model or a competitive model.     

Determination of rate constants for nucleotide dissociation from Na,K-ATPase.

A method for determining individual rate constants for nucleotide binding to and dissociation from membrane bound pig kidney Na,K-ATPase is presented. The method involves determination of the rate of relaxation when Na,K-ATPase in the presence of eosin is mixed with ADP or ATP in a stopped-flow fluorescence apparatus. It is shown that the nucleotide dependence of this rate of relaxation--taken together with measured equilibrium binding values for eosin and ADP--makes possible a reasonably reliable determination of the rate constant for dissociation of nucleotide, i.e., determination of the rate constant k-1 in the following model (where E denotes Na,K-ATPase): [formula: see text] All experiments are carried out at about 4 degrees C in a buffer containing 200 mM sucrose, 10 mM EDTA, 25 mM Tris and 73 mM NaCl (pH 7.4). Values obtained for the rate constants for dissociation are about 6 s-1 for ADP and 2-3 s-1 for ATP.     

Determination of association and dissociation rate constants for bilirubin--bovine serum albumin.

The association rate constant for the binding of bilirubin to bovine serum albumin has been determined in a continuous-flow experiment. The value obtained is 0.9 x 10⁶m^?1S^?1. Furthermore the dissociation rate constant is determined from the rate of the peroxidase-catalyzed oxidation of bilirubin in a bilirubin-albumin solution. This figure is 3.1 × 10^?2s ¹. Calculation of the apparent binding equilibrium constant from the two rate constants gives 2.9 x 10⁷m^?1. The above mentioned peroxidase oxidation has also been used for a direct estimation of the binding equilibrium constant giving 2.7 × 10⁷m^?1. All experiments are carried out at 36 °C and pH 7.4.     

Determination of rate constants for the reaction of hydroxyl radicals with some purines and pyrimidines using sunlight

Sunlight mediated hydroxyl radical production from aqueous ferric perchlorate at low pH has been investigated using deoxyribose-thiobarbituric acid assay. The rate of production of hydroxyl radical was found to be dependent on the time of irradiation. Hydroxyl radical scavengers can compete with deoxyribose for hydroxyl radicals produced in the system leading to a decreased yield of thiobarbituric acid chromogen. The second-order rate constants of the added scavengers can be determined using a simple competition kinetic method. The rate constants for the reaction of hydroxyl radical with a number of purine and pyrimidine derivatives were determined using this method. The rate constants obtained (1-7 x 10(9) dm(3) mol(-1) s(-1)) were found to be in good agreement with those reported using pulse radiolysis technique. The rate constants of dimethyluracil, xanthosine, amino and methyl substituted pyrimidines, cytidine monophosphate and uridine monophosphate were also determined by this method. It is proposed that sunlight mediated production of hydroxyl radical coupled with deoxyribose-thiobarbituric acid assay is a simple and efficient method for the determination of rate constants for the reaction of hydroxyl radical with a wide range of biomolecules.     

Determination of ligand-binding constants by isoelectric focusing. Generalization and extension of theory

The theory of a proposed isoelectric focusing procedure for the determination of ligand binding constants has been generalized (via numerical calculations) to non-linear, electrophoretic velocity profiles and systems for which the change in velocity of the protein accompanying ligand binding depends upon pH. The theory has also been extended to include binding of ligand to heterogeneous sites. Determination of accurate values of the binding parameters depends upon extrapolation of apparent parameters to infinite dilution of protein.     

Activation of a new plasma enzyme by antigen-antibody reaction.

The change of enzyme activity in immunized rabbit plasma after addition of the homologous antigen was examined. The activities of N alpha-tosyl-L-arginine methyl ester (TAMe) and N alpha-tosyl-L-lysine methyl ester (TLMe) hydrolysis increased about 15 to 18 days after immunization. This increase was especially marked before the maximal rise of antibody content, and is thought to be related to the IgM antibody not to the IgG antibody. Enzyme activation was strongly inhibited by chelation of Ca2+ with 5 mM disodium ethylenediamine tetraacetate (EDTA), but not by other protease inhibitors, such as epsilon amino-caproic acid (epsilon-ACA), bovine lung kallikrein inhibitor (Trasylol) or soybean trypsin inhibitor (SBTI).     

The antigen-antibody reaction and its inhibition

The sera of intact and immune animals contain factors capable of inhibiting the interaction of antibodies with the homologous antigen. These agglutination inhibiting (AI) factors not only block the antigen, thus competing with antibodies, but may induce the dissociation of the antigen-antibody complex. Heating of antisera at 60-63 degrees C leads to an increase in the activity of AI factors. The phenomenon of "prozone" in the agglutination test appears to be explained by the presence of AI factors in sera.