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A mathematical model of the multiple sclerosis plaque

机译：多发性硬化斑块的数学模型

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Multiple sclerosis is an autoimmune disease that affects white matter in the central nervous system. It is one of the primary causes of neurological disability among young people. Its characteristic pathological lesion is called a plaque, a zone of inflammatory activity and tissue destruction that expands radially outward by destroying the myelin and oligodendrocytes of white matter. The present paper develops a mathematical model of the multiple sclerosis plaques. Although these plaques do not provide reliable information of the clinical disability in MS, they are nevertheless useful as a primary outcome measure of Phase II trials. The model consists of a system of partial differential equations in a simplified geometry of the lesion, consisting of three domains: perivascular space, demyelinated plaque, and white matter. The model describes the activity of various pro- and anti-inflammatory cells and cytokines in the plaque, and quantifies their effect on plaque growth. We show that volume growth of plaques are in qualitative agreement with reported clinical studies of several currently used drugs. We then use the model to explore treatments with combinations of such drugs, and with experimental drugs. We finally consider the benefits of early vs. delayed treatment. (C) 2020 Published by Elsevier Ltd.
机译：多发性硬化症是一种影响中枢神经系统白质的自身免疫性疾病。它是年轻人神经系统残疾的主要原因之一。其特征性病理病变称为斑块，这是一个炎症活动和组织破坏的区域，通过破坏髓鞘和白质少突胶质细胞向外放射状扩张。本文建立了多发性硬化斑块的数学模型。尽管这些斑块不能提供MS临床残疾的可靠信息，但它们仍然可以作为II期试验的主要结果指标。该模型由病变简化几何结构中的偏微分方程系统组成，包括三个区域：血管周围空间、脱髓鞘斑块和白质。该模型描述了斑块中各种促炎和抗炎细胞及细胞因子的活性，并量化了它们对斑块生长的影响。我们发现斑块的体积增长与目前使用的几种药物的临床研究报告在质量上是一致的。然后，我们使用该模型探索此类药物组合的治疗方法，以及实验药物。我们最后考虑早期治疗与延迟治疗的益处。（C） 2020年爱思唯尔有限公司出版。

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