Dose-response and dose-suppression curves have been measured for the primary immune response in mice, in vivo and in vitro, by using size-fractionated linear polymers of acrylamide substituted with hapten. The results are in general agreement with a simple theory based on the premise that the specific primary immunological response is quantized at some fundamental and limiting step, requiring a minimum number of linked antigen receptors for response.The immune response to most antigens is a very complex phenomenon that has resisted quantitative analysis. Some of this complexity may be related to the molecular complexity of many of the antigens (e.g., proteins, cell walls, etc.) which have been used. A relatively simple and specific primary immune response occurs against antigens that are linear polymers of only a few types ofchemical subunits (1-3). These antigens give rise to a rapid primary immune response with the production ofspecific antibody molecules predominantly of the class IgM (4, 5). The immune response to these antigens may be relatively simple because of its rapidity and the apparent minimum involvement of thymus-derived lymphocytes (T cells). Although complex interactions involving suppressor cells, helper cells, and idiotypes seem to be important in more mature, T cell-dependent responses, it is likely, as discussed here, that they are not a dominant factor in the very early and rapid T cell-independent responses.It long has been observed that multivalent antigens are better immunogens than are monovalent ones; indeed, a number of investigators have proposed that triggering of immunocompetent cells (B cells) to form antibody requires adequate crosslinking of surface receptors by multivalent ligands (6)(7)(8)(9)(10)(11)(12)(13)(14). We have carried this important observation one step further by proposing that there is a specific number ofreceptors that must be linked together in order to deliver the triggering signal (15). The interaction site between antigen and receptor often has been proposed as occurring on the surface of B lymphocytes (16). Various kinds of antigen-presenting cells also may play a role at this site (17, 18); however, for the sake of simplicity, we have taken the limiting step to be one occurring on the external surfaces of B cells. We have described the preparation of and the in vivo immunological response to a series ofsize-fractionated linear polymers of acrylamide partially substituted with dinitrophenyl (Dnp) hapten (15), which behaved as "T cell-independent" antigens. Analysis of the responses elicited by a series of such polymer preparations led us to the conclusion that the primary immunological response at some basic and limiting level is quantized-i. e., a minimum specific number of antigen receptors (which we estimated to be -12-16) must be connected together as a spatially compact cluster, an "immunon," before an immunogenic signal is delivered to the receptor cell.The present paper gives the results ofusing size-fractionated Dnp-polyacrylamide preparation...