Time-delayed model of autoimmune dynamics
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2019-06-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/mbe.2019279?viewType=HTML |
| _version_ | 1818481687476043776 |
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| author | Farzad Fatehi Yuliya N. Kyrychko Konstantin B. Blyuss |
| author_facet | Farzad Fatehi Yuliya N. Kyrychko Konstantin B. Blyuss |
| author_sort | Farzad Fatehi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T11:38:19Z |
| format | Article |
| id | doaj.art-478031b0918943d4a10d9ab195b4af35 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-10T11:38:19Z |
| publishDate | 2019-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-478031b0918943d4a10d9ab195b4af352022-12-22T01:50:21ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-06-011655613563910.3934/mbe.2019279Time-delayed model of autoimmune dynamicsFarzad Fatehi0Yuliya N. Kyrychko 1Konstantin B. Blyuss2Department of Mathematics, University of Sussex, Falmer, Brighton, BN1 9QH, United KingdomDepartment of Mathematics, University of Sussex, Falmer, Brighton, BN1 9QH, United KingdomDepartment of Mathematics, University of Sussex, Falmer, Brighton, BN1 9QH, United KingdomAmong 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.https://www.aimspress.com/article/10.3934/mbe.2019279?viewType=HTMLimmune responsemathematical modeltime delayautoimmunitymulti-stability |
| spellingShingle | Farzad Fatehi Yuliya N. Kyrychko Konstantin B. Blyuss Time-delayed model of autoimmune dynamics Mathematical Biosciences and Engineering immune response mathematical model time delay autoimmunity multi-stability |
| title | Time-delayed model of autoimmune dynamics |
| title_full | Time-delayed model of autoimmune dynamics |
| title_fullStr | Time-delayed model of autoimmune dynamics |
| title_full_unstemmed | Time-delayed model of autoimmune dynamics |
| title_short | Time-delayed model of autoimmune dynamics |
| title_sort | time delayed model of autoimmune dynamics |
| topic | immune response mathematical model time delay autoimmunity multi-stability |
| url | https://www.aimspress.com/article/10.3934/mbe.2019279?viewType=HTML |
| work_keys_str_mv | AT farzadfatehi timedelayedmodelofautoimmunedynamics AT yuliyankyrychko timedelayedmodelofautoimmunedynamics AT konstantinbblyuss timedelayedmodelofautoimmunedynamics |