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| We study the immune response by T cells with the presence of regulatory T cells (Treg) using an ODE model. Tregs act mainly by inhibiting interleukine 2 secretion by T cells. We introduced an asymmetry
reflecting that the difference between the growth and death rates can be higher for
the active T cells and the active Tregs than for the inactive T cells and inactive Tregs.
We obtain an explicit formula that gives the equilibria of the model.
Furthermore, when model the correlation between the antigenic stimuli, we find a transcritical bifurcation that might explain two alternative scenarios: in one case the appearance of autoimmune responses and in another the suppression of the immune response. |
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