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How T-cells use large deviations to recognize foreign antigens

Abstract

A stochastic model for the activation of T-cells is analysed. T-cells are part of the immune system and recognize foreign antigens against a background of the body’s own molecules. The model under consideration is a slight generalization of a model introduced by Van den Berg et al. (J Theor Biol 209:465–486, 2001), and is capable of explaining how this recognition works on the basis of rare stochastic events. With the help of a refined large deviation theorem and numerical evaluation it is shown that, for a wide range of parameters, T-cells can distinguish reliably between foreign antigens and self-antigens.

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Correspondence to Ellen Baake.

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Zint, N., Baake, E. & den Hollander, F. How T-cells use large deviations to recognize foreign antigens. J. Math. Biol. 57, 841–861 (2008). https://doi.org/10.1007/s00285-008-0191-1

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  • DOI: https://doi.org/10.1007/s00285-008-0191-1

Keywords

  • Immune system
  • T-cells
  • Antigen-presenting cells
  • Foreign versus self
  • Kinetics of stimulation
  • Large deviations
  • Activation curves

Mathematics Subject Classification (2000)

  • 60F10
  • 92C37