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Time-delayed model of autoimmune dynamics

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posted on 2023-06-09, 18:10 authored by Farzad Fatehi, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss
Among 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 Engineering

ISSN

1547-1063

Publisher

American Institute of Mathematical Sciences

Issue

5

Volume

16

Page range

5613-5639

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Mathematics Applied to Biology Research Group Publications

Notes

Special Issues: Mathematical Methods in the Biosciences

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-06-24

First Open Access (FOA) Date

2019-06-24

First Compliant Deposit (FCD) Date

2019-06-21

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