A theoretical approach to precipitin reactions: insight from computer simulation.

The theoretical consequences of different hypotheses of the mechanism of precipitin reactions have been evaluated by means of computer simulation. It has been found that the formation of compositionally different complexes in different antigen/antibody mixtures provides a valid explanation of the zoning phenomenon, but this concept fails to explain the absence of free antigen and of antigen in soluble complexes at the point of maximum percipitation. It is found that the following hypothesis provides an improved qualitative and quantitative explanation of percipitin reactions. In the first stage of the total reaction a series of compositionally different complexes is formed. As the second stage of the total reaction two kinds of processes are proposed. Inherently insoluble complexes precipitate causing the remaining soluble complexes to participate in mutual rearrangements to re-establish a new state of equilibrium in the supernatant. The inherently insoluble complexes, moreover, create a hydrophobic phase, distinct from the supernatant and cause the remaining otherwise soluble complexes to distribute themselves between the two phases according to a partition coefficient. A mathematical apparatus to study the consequences of this hypothesis is presented, and it is demonstrated that the features of precipitin curves can be explained nearly completely this way.