Global Dynamics of B Cells and Anti-Idiotipic B Cells and its Application to Autoimmunity

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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.

Original languageEnglish
Pages (from-to)105-118
Number of pages14
JournalJapan Journal of Industrial and Applied Mathematics
Issue number1
Publication statusPublished - Feb 2007



  • Autoimmunity
  • B model
  • Conservation quantity
  • Global dynamics

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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