Modeling the influence of ectodomain affinities on the spatial distribution of membrane receptors.

We have previously shown that the glycosylphosphatidyl-inositol (GPI)-linked urokinase-type plasminogen activator receptor (uPAR) reversibly associates with the integrins complement receptor type 3 (CR3; alphaMbeta2) and CR4 (alphaxbeta2) during leukocyte motility. These receptor-to-receptor interactions could potentially be accounted for by diffusion-controlled reactions or by directed transport phenomena. To address these alternatives, we have used computer simulation techniques. Our results show that a diffusion-controlled interaction between uPAR and CR4 during accumulation at lamellipodia is not physically reasonable. This suggests that a directed transport mechanism participates in establishing uPAR-integrin association.

Somatic mutation, affinity maturation and the antibody repertoire: a computer model.

Somatic mutation has been implicated as a significant and possibly primary factor in the maturation of antibody affinity in the humoral immune response. B cells stimulated by antigen experience a hyper-mutation in the gene segments that code for the antigen-binding site of the antibody, creating antibody specificities that did not exist at the time of immunization. Although most of the mutations are likely to be disadvantageous, new specificities with a higher affinity for the antigen are sometimes created. These higher-affinity cells are preferentially selected for proliferation and eventual antibody secretion, resulting in a progressively higher average affinity over time. In this paper we present the results of an investigation of somatic mutation through the use of a computer model. At the basis of the model is a large repertoire of discrete antibodies and antigens, having three-dimensional structures, that exhibit properties similar to those of the real populations. The key factor is that the binding strength between any antibody/antigen pair can be calculated as a function of the complementarity of the (a) size, (b) shape and (c) functional groups that comprise the two structures. The created repertoires are imbedded in a dynamical system model of the immune response to directly evaluate the affect of somatic mutation on affinity maturation. We also present an expanded hypothesis of clonal selection and development to explain how the mutational restrictions imposed by the genetic code and the structure of the antibody repertoire, along with antigen concentration, affinity, and probabilistic factors may interact and contribute to the expansion of specific clones as the response develops over time.

Maturation of the immune response: a computational model.

Experimental studies of the effect on antibody affinity of antigen dose and time after immunization show that average affinity increases progressively with time after immunization, and that this increase is greater at lower doses of antigen. In this paper we describe a polyclonal computer model of the immune system that yields all the essential phenomena of affinity maturation, including dose-dependency. Our main findings are (1) the dose-dependency relationship is not produced when typical assumptions regarding B-cell populations and binding reactions are employed, and (2) it is possible to reproduce this dependency by assuming two classes of lymphocytes: generalists and specialists. Generalists have a low threshold for response and produce antibody of low effectiveness, whereas specialists have a high threshold for response, and produce highly effective antibody. We make an analogy between the generalists and a pioneer species in ecological succession, and suggest how the generalists may contribute to a more effective defense against real infections.