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Bifurcations and multistability in a model of cytokine-mediated autoimmunity
journal contribution
posted on 2023-06-09, 15:39 authored by Farzad Fatehi, Yuliya KyrychkoYuliya Kyrychko, Robert Molchanov, Konstantin BlyussKonstantin BlyussThis 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 ChaosISSN
0218-1274Publisher
World Scientific PublishingExternal DOI
Issue
3Volume
29Page range
1950034 1Department 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
2018-10-29First Open Access (FOA) Date
2020-03-29First Compliant Deposit (FCD) Date
2018-10-28Usage metrics
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