Abstract
Global behavior of B models is discussed. When the source term for new B cells equals zero, the system has a conservation quantity. It implies the structurally unstability. It suggests that lack of the source of new B cells may unstabilize the immune system. When the B model incorporates autoimmunity, it loses symmetry. The asymmetry suggests the transition from a tolerant state to autoimmune state is more likely than the inverse transition. Effect of dose of antigen is also considered.
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Sasaki, T., Kajiwara, T. Global dynamics of B cells and anti-idiotipic B cells and its application to autoimmunity. Japan J. Indust. Appl. Math. 24, 105–118 (2007). https://doi.org/10.1007/BF03167510
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DOI: https://doi.org/10.1007/BF03167510