ABSTRACT
This chapter provides a survey of several mathematical models of the humoral immune response. They are predominantly models of the population levels and interaction of various cell types involved in the response as well as the associated production of antibody and the removal of antigen from the system. The immune system is a set of organs, cells, and proteins which responds to the presence of a foreign substance in the body. The response is twofold: the humoral response and the cell-mediated response. An antigen present in sufficient concentration may fail to elicit a humoral response if no B-cells which recognizes that particular antigen are present or able to respond. Many researchers have proposed models of certain aspects of the humoral immune response. The immune response observed is a result of the interaction of lymphocytes and antibodies resulting in suppression and stimulation of different groups of both.
