A model of bursal colonization

In the chicken, and perhaps in all birds, the development of the cells which form antibodies, the B-cells, differs substantially from that in mammals. In birds, committed B-cells colonize a specialized organ, the bursa of Fabricius, which consists of some 10(4) follicles. Diversification, i.e., the development of the antibody repertoire, takes place in bursal follicles by a process termed "gene conversion." The avian bursa is easily accessible experimentally, and in the chicken, it has been the subject of extensive research. As an aid to experimentation in this field, we present here a formal mathematical model of bursal development. Formulae are derived which allow one to estimate the number and sizes of B-cell clones in bursal follicles, and hence the size of the overall antibody repertoire. Particular attention is paid to the problem of estimating experimental errors.