Affinity Diffusion II. Comparison Between Thermodynamic Data Obtained by Affinity Diffusion and Precipitation in Tubes

Abstract

Association constants (K_a) of the precipitating system bovine serum albumin (BSA) goat anti-BSA were obtained at different temperatures via affinity diffusion (taking 1/K_d = K_a) as well as via precipitation in tubes at optimal ratios., With affinity diffusion values of K_a of 0.6 to 1.1 × 10⁵ 1/M were found, whilst with precipitation in tubes K_a was from 3.3 to 11.2 × 10⁷ 1/M, using the same BSA and anti-BSA preparations. Via affinity diffusion binding energies AF of ≈-6 to -7 kcal/M were found, with values of AH close to zero, and a AS of +23 entropy units. With precipitation in tubes these values were AF -10.2 to -10.7 kcal/M, AH -4.6 to -7.6 kcal/M and AS +10 to +20 entropy units. The differences found with the two different methods must be ascribed to the fact that with affinity diffusion of precipitating antigen-antibody systems one just measures the interaction between the precipitating components with the highest dissociation constants, whilst with precipitation in tubes one measures the total energy of association of the system. With affinity diffusion and with precipitation in tubes, the same degree of positive entropy is observed. The system measured with affinity diffusion is approximately isothermic, whilst the total system, measured by precipitation in tubes, is strongly exothermic. Affinity diffusion still takes place at pH 9.5, at which pH no precipitation in the liquid phase takes place at optimal ratio; one may conclude from this that affinity diffusion mainly involves van der Waals interactions, as electrostatic bonding between BSA and anti-BSA is virtually abolished at that pH. This agrees well with the observation that the affinity diffusion reaction is isothermic.