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A mathematical model of extracorporeal antibody removal in autoimmune disease.

A mathematical model of T-B cell cooperation is adopted to describe autotolerance and autoimmunity. The model describes the development of plasma cells and T-helper cells from their precursors through activated and proliferating cells. A state of autotolerance is simulated by reducing the rate of T precursors supply (partial clonal deletion theory), while the normal rate yields a stable state of autoimmunity. During the state of autoimmunity extra-corporeal removal of autoantibody and immunosuppression are simulated. Removal of auto-antibody alone results in stimulation of the immune system and quick return to the previous state, mainly on account of activation of memory cells. Antibody overshooting is negligible. Immunosuppression leads to a slow decline in the antibody level. Synergy is clearly demonstrated between both therapies.