Analysing the dynamics of a model for alopecia areata as an autoimmune disorder of hair follicle cycling.

IF 0.8 4区 数学 Q4 BIOLOGY Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2018-09-11 DOI:10.1093/imammb/dqx009
Atanaska Dobreva, Ralf Paus, N G Cogan
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引用次数: 9

Abstract

Alopecia areata (AA) is a CD8$^{+}$ T cell-dependent autoimmune disease that disrupts the constantly repeating cyclic transformations of hair follicles (HFs). Among the three main HF cycle stages-growth (anagen), regression (catagen) and relative quiescence (telogen)-only anagen HFs are attacked and thereby forced to prematurely enter into catagen, thus shortening active hair growth substantially. After having previously modelled the dynamics of immune system components critically involved in the disease development (Dobreva et al., 2015), we here present a mathematical model for AA which incorporates HF cycling and illustrates the anagen phase interruption in AA resulting from an inflammatory autoimmune response against HFs. The model couples a system describing the dynamics of autoreactive immune cells with equations modelling the hair cycle. We illustrate states of health, disease and treatment as well as transitions between them. In addition, we perform parameter sensitivity analysis to assess how different processes, such as proliferation, apoptosis and input from stem cells, impact anagen duration in healthy versus AA-affected HFs. The proposed model may help in evaluating the effectiveness of existing treatments and identifying new potential therapeutic targets.

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分析斑秃作为毛囊循环的自身免疫性疾病模型的动力学。
斑秃(AA)是一种依赖CD8 T细胞的自身免疫性疾病,它破坏了毛囊(HFs)不断重复的循环转化。在HF周期的三个主要阶段——生长期(生长期)、退行期(休止期)和相对静止期(休止期)中,只有生长期的HF受到攻击,因此被迫过早进入衰退期,从而大大缩短了活跃的头发生长。在之前建立了与疾病发展密切相关的免疫系统成分的动力学模型(Dobreva等人,2015)之后,我们在这里提出了一个AA的数学模型,该模型包含HF循环,并说明了针对HF的炎症性自身免疫反应导致AA的生长期中断。该模型将描述自身反应性免疫细胞动力学的系统与模拟毛发周期的方程耦合在一起。我们说明了健康、疾病和治疗的状态,以及它们之间的过渡。此外,我们进行了参数敏感性分析,以评估不同的过程,如增殖、凋亡和干细胞输入,如何影响健康与aa影响的HFs的生长期。所提出的模型可能有助于评估现有治疗方法的有效性,并确定新的潜在治疗靶点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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