We study the equilibrium properties of idiotypically interacting B cel
l clones in the case where only the differentiation of B cells is affe
cted by idiotypic interactions. Furthermore, we assume that clones may
recognize and be stimulated by self antigen in the same fashion as by
anti-antibodies. For idiotypically interacting pairs of non-autoreact
ive clones we observe three qualitatively different dynamical regimes.
In the first regime, at small antibody production an antibody-free fi
xed point, the virgin state, is the only attractor of the system. For
intermediate antibody production, a symmetric activated state replaces
the virgin state as the only attractor of the system. For large antib
ody production, finally, the symmetric activated state gives way to tw
o asymmetric activated states where one clone suppresses the other clo
ne. If one or both clones in the pair are autoreactive there is no vir
gin state. However, we still observe the switch from an almost symmetr
ic activated state to two asymmetric activated states. The two asymmet
ric activated states at high antibody production have profoundly diffe
rent implications for a self antigen which is recognized by one of the
clones of the pair. In the attractor characterized by high autoantibo
dy concentration the self antigen is attacked vigorously by the immune
system while in the opposite steady state the tiny amount of autoanti
body hardly affects the self antigen. Accordingly, we call the first s
tate the autoimmune state and the second the tolerant state. In the to
lerant state the autoreactive clone is down-regulated by its anti-idio
type providing an efficient mechanism to prevent an autoimmune reactio
n. However, the antibody production required to achieve this anti-idio
typic control of autoantibodies is rather large.