Bifurcations and multi-stability in a model of cytokine-mediated autoimmunity

Fatehi Chenar, Farzad, Kyrychko, Yuliya, Molchanov, Robert and Blyuss, Konstantin (2018) Bifurcations and multi-stability in a model of cytokine-mediated autoimmunity. International Journal of Bifurcation and Chaos. ISSN 0218-1274 (Accepted)

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Abstract

This paper investigates the dynamics of immune response and autoimmunity with particular emphasis on the role of regulatory T cells (Tregs), T cells with different activation thresholds, and cytokines in mediating T cell activity. Analysis of the steady states yields parameter regions corresponding to regimes of normal clearance of viral infection, chronic infection, or autoimmune behaviour, and the boundaries of stability and bifurcations of relevant steady states are found in terms of system parameters. Numerical simulations are performed to illustrate different dynamical scenarios, and to identify basins of attraction of different steady states and periodic solutions, highlighting the important role played by the initial conditions in determining the outcome of immune interactions.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Mathematics Applied to Biology Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 29 Oct 2018 10:59
Last Modified: 29 Oct 2018 10:59
URI: http://srodev.sussex.ac.uk/id/eprint/79784

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