Stochastic effects in autoimmune dynamics

Fatehi Chenar, Farzad, Kyrychko, Sergey, Ross, Aleksandra, Kyrychko, Yuliya and Blyuss, Konstantin (2018) Stochastic effects in autoimmune dynamics. Frontiers in Physiology, 9. p. 45. ISSN 1664-042X

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Abstract

Among various possible causes of autoimmune disease, an important role is played by infections that can result in a breakdown of immune tolerance, primarily through the mechanism of ``molecular mimicry". In this paper we propose and analyse a stochastic model of immune response to a viral infection and subsequent autoimmunity, with account for the populations of T cells with different activation thresholds, regulatory T cells, and cytokines. We show analytically and numerically how stochasticity can result in sustained oscillations around deterministically stable steady states, and we also investigate stochastic dynamics in the regime of bi-stability. These results provide a possible explanation for experimentally observed variations in the progression of autoimmune disease. Computations of the variance of stochastic fluctuations provide practically important insights into how the size of these fluctuations depends on various biological parameters, and this also gives a headway for comparison with experimental data on variation in the observed numbers of T cells and organ cells affected by infection.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Mathematics Applied to Biology Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 02 Feb 2018 14:26
Last Modified: 02 Feb 2018 14:26
URI: http://sro.sussex.ac.uk/id/eprint/73297

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Project NameSussex Project NumberFunderFunder Ref
EPSRC Doctoral Training Partnership 2016-17G1950EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCILEP/N509784/1
Chancellor's AwardUnsetUniversity of SussexUnset