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 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.
['Fatehi|Farzad|F|', 'Kyrychko|Yuliya N|YN|', 'Blyuss|Konstantin B|KB|']
D000465:Algorithms D000818:Animals D015551:Autoimmunity D049109:Cell Proliferation D003198:Computer Simulation D016207:Cytokines D006801:Humans D007107:Immune System D007156:Immunologic Memory D051379:Mice D008962:Models, Theoretical D009991:Oscillometry D017634:Self Tolerance D013269:Stochastic Processes D013601:T-Lymphocytes
autoimmunity immune response time delay mathematical model multi-stability