The role of idiotypic interactions in the adaptive immune system: A belief-propagation approach

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Abstract

In this work we use belief-propagation techniques to study the equilibrium behaviour of a minimal model for the immune system comprising interacting T and B clones. We investigate the effect of the so-called idiotypic interactions among complementary B clones on the system's activation. Our results show that B-B interactions increase the system's resilience to noise, making clonal activation more stable, while increasing the cross-talk between different clones. We derive analytically the noise level at which a B clone gets activated, in the absence of cross-talk, and find that this increases with the strength of idiotypic interactions and with the number of T cells sending signals to the B clones. We also derive, analytically and numerically, via population dynamics, the critical line where clonal cross-talk arises. Our approach allows us to derive the B clone size distribution, which can be experimentally measured and gives important information about the adaptive immune system response to antigens and vaccination.

Original languageEnglish
Article number083402
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2016
Issue number8
DOIs
Publication statusPublished - 12 Aug 2016

Keywords

  • cavity and replica method
  • networks
  • random graphs
  • systems biology

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