Modelling the suppression of autoimmunity after pathogen infection. (3rd May 2018)

• Record Type: Journal Article
• Authors: Oliveira, Bruno M. P. M.; Trinchet, Ricard; Otero Espinar, María Victoria; Pinto, Alberto; Burroughs, Nigel
• Other Names: Anguelov Roumen guestEditor.; Banasiak Jacek guestEditor.; Debbouche Amar guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 18(2018)
• Page Start: 8565
• Page End: 8570
• Publication Date: 2018-05-03
• Subjects: Autoimmunity suppression -- T cells -- Tregs -- cytokines -- ODE model; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4899
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We study a mathematical model of immune response by T cells where the regulatory T cells (Treg) inhibit interleukin 2 (IL‐2) secretion. We model the suppression of the autoimmune line of T cells after a different line of T cells responded to a pathogen infection. In this paper, we show that if the population of the pathogen responding line of T cells becomes large enough, the competition for IL‐2 and the increase in the death rates may lead to a depletion in the concentration of autoimmune T cells. Provided this lasts for a sufficiently long time, the concentration of autoimmune T cells can be brought down to values inside the basin of attraction of the controlled state, and autoimmunity can be suppressed.