University of Sussex
Browse

Bifurcations and multistability in a model of cytokine-mediated autoimmunity

Download (965.18 kB)
journal contribution
posted on 2023-06-09, 15:39 authored by Farzad Fatehi, Yuliya KyrychkoYuliya Kyrychko, Robert Molchanov, Konstantin BlyussKonstantin Blyuss
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 behavior, 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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

International Journal of Bifurcation and Chaos

ISSN

0218-1274

Publisher

World Scientific Publishing

Issue

3

Volume

29

Page range

1950034 1

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Mathematics Applied to Biology Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-10-29

First Open Access (FOA) Date

2020-03-29

First Compliant Deposit (FCD) Date

2018-10-28

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC