School of Cellular and Molecular Medicine & School of Clinical Sciences, University of Bristol, University Walk, Bristol BS8 1TD, UK.
Department of Mathematics, University of Sussex, Brighton BN1 9QH, UK.
Cells. 2020 Apr 2;9(4):860. doi: 10.3390/cells9040860.
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.
本文提出并分析了一个用于自身免疫疾病发作和发展的数学模型，特别关注动力学中的随机效应。稳定性分析得到了与正常细胞动态平衡或持续周期性振荡相关的参数区域。还探讨了这些振荡的方差和随机放大的影响。理论结果得到了实验的补充，在实验性自身免疫性葡萄膜炎（EAU）中诱导了 B10.RIII 和 C57BL/6 小鼠。对于这两种情况，我们讨论了疾病发展的特点、遗传上相同的生物体群体中 T 细胞群体的变化水平，以及与模型输出的比较。
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