Computer simulation of immunochemical interactions.

A computer model for simulation of the interactions between a macromolecular antigen and its corresponding IgG has been developed. The model takes all possible immune complexes into account, and it calculates the most probable immune complex distribution patterns on the basis of basic thermodynamic principles from the valences and initial concentrations of antigen and antibody, respectively, together with an association constant assumed to be common to all mutual interactions. In antigen excess small antigen-rich complexes are predicted. At or near equivalence a rich variety of relatively small complexes is predicted, while in antibody excess complexes of the type AgAbn are found to be the most probable. By further assuming that the precipitate consists of antibody excess complexes, a precipitin curve can be calculated. The agreement between calculated results and experimentally obtained data is found to be good. It is of special interest that this theory implies that the outcome of immunochemical interactions depend equally well on the concentrations of antigen and of antibody.