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Time-delayed model of autoimmune dynamics
journal contribution
posted on 2023-06-09, 18:10 authored by Farzad Fatehi, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin BlyussAmong various environmental factors associated with triggering or exacerbating autoimmune response, an important role is played by infections. A breakdown of immune tolerance as a byproduct of immune response against these infections is one of the major causes of autoimmune disease. In this paper we analyse the dynamics of immune response with particular emphasis on the role of time delays characterising the infection and the immune response, as well as on interactions between different types of T cells and cytokines that mediate their behaviour. Stability analysis of the model provides insights into how different model parameters affect the dynamics. Numerical stability analysis and simulations are performed to identify basins of attraction of different dynamical states, and to illustrate the behaviour of the model in different regimes
History
Publication status
- Published
File Version
- Published version
Journal
Mathematical Biosciences and EngineeringISSN
1547-1063Publisher
American Institute of Mathematical SciencesExternal DOI
Issue
5Volume
16Page range
5613-5639Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Mathematics Applied to Biology Research Group Publications
Notes
Special Issues: Mathematical Methods in the BiosciencesFull text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-06-24First Open Access (FOA) Date
2019-06-24First Compliant Deposit (FCD) Date
2019-06-21Usage metrics
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