Random behaviors in the process of immunological memory

We have used a system of coupled maps to study random variations in the immune memory process and the possible network immune memory that can remain for long time in the absence of antigenic stimulation through the idiotypic–anti-idiotypic interactions. Our approach describes the behavior of the immune network proposed by Jerne and considers that the cell–cell interactions routine results in maintenance of memory in a dynamic equilibrium. The critical values of the concentrations of antigens for the validity of the model and a phases diagram with three different phases are also obtained.