Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA.
Bull Math Biol. 2013 Sep;75(9):1417-33. doi: 10.1007/s11538-013-9853-2. Epub 2013 Jun 13.
Gut mucosal homeostasis depends on complex interactions among the microbiota, the intestinal epithelium, and the gut associated immune system. A breakdown in some of these interactions may precipitate inflammation. Inflammatory bowel diseases, Crohn's disease, and ulcerative colitis are chronic inflammatory disorders of the gastrointestinal tract. The initial stages of disease are marked by an abnormally high level of pro-inflammatory helper T cells, Th1. In later stages, Th2 helper cells may dominate while the Th1 response may dampen. The interaction among the T cells includes the regulatory T cells (Treg). The present paper develops a mathematical model by a system of differential equations with terms nonlocal in the space spanned by the concentrations of cytokines that represents the interaction among T cells through a cytokine signaling network. The model demonstrates how the abnormal levels of T cells observed in inflammatory bowel diseases can arise from abnormal regulation of Th1 and Th2 cells by Treg cells.
肠道黏膜稳态依赖于微生物群、肠道上皮和肠道相关免疫系统之间的复杂相互作用。这些相互作用中的一些可能会引发炎症。炎症性肠病、克罗恩病和溃疡性结肠炎是胃肠道的慢性炎症性疾病。疾病的初始阶段以异常高水平的促炎辅助 T 细胞 Th1 为特征。在后期阶段,Th2 辅助细胞可能占主导地位,而 Th1 反应可能减弱。T 细胞之间的相互作用包括调节性 T 细胞(Treg)。本文通过一个具有非局部项的微分方程组系统建立了一个数学模型,该模型通过细胞因子信号网络表示 T 细胞之间的相互作用。该模型表明,炎症性肠病中观察到的 T 细胞异常水平如何可能源于 Treg 细胞对 Th1 和 Th2 细胞的异常调节。