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Open AccessArticle

Quantifying the Role of Stochasticity in the Development of Autoimmune Disease

1
School of Cellular and Molecular Medicine & School of Clinical Sciences, University of Bristol, University Walk, Bristol BS8 1TD, UK
2
Department of Mathematics, University of Sussex, Brighton BN1 9QH, UK
3
Department of Mathematics, University of York, York YO10 5DD, UK
*
Authors to whom correspondence should be addressed.
Cells 2020, 9(4), 860; https://doi.org/10.3390/cells9040860
Received: 28 January 2020 / Revised: 11 March 2020 / Accepted: 26 March 2020 / Published: 2 April 2020
(This article belongs to the Special Issue Quantitative Models of Autoimmunity)
In this paper, we propose and analyse a mathematical model for the onset and development of autoimmune disease, with particular attention to stochastic effects in the dynamics. Stability analysis yields parameter regions associated with normal cell homeostasis, or sustained periodic oscillations. Variance of these oscillations and the effects of stochastic amplification are also explored. Theoretical results are complemented by experiments, in which experimental autoimmune uveoretinitis (EAU) was induced in B10.RIII and C57BL/6 mice. For both cases, we discuss peculiarities of disease development, the levels of variation in T cell populations in a population of genetically identical organisms, as well as a comparison with model outputs. View Full-Text
Keywords: mathematical model; immune response; autoimmunity; stochasticity mathematical model; immune response; autoimmunity; stochasticity
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MDPI and ACS Style

Nicholson, L.B.; Blyuss, K.B.; Fatehi, F. Quantifying the Role of Stochasticity in the Development of Autoimmune Disease. Cells 2020, 9, 860. https://doi.org/10.3390/cells9040860

AMA Style

Nicholson LB, Blyuss KB, Fatehi F. Quantifying the Role of Stochasticity in the Development of Autoimmune Disease. Cells. 2020; 9(4):860. https://doi.org/10.3390/cells9040860

Chicago/Turabian Style

Nicholson, Lindsay B.; Blyuss, Konstantin B.; Fatehi, Farzad. 2020. "Quantifying the Role of Stochasticity in the Development of Autoimmune Disease" Cells 9, no. 4: 860. https://doi.org/10.3390/cells9040860

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