描述结核性肉芽肿的简单数学模型分析

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2023-11-08 DOI:10.5206/mase/16678
Yuqi Jin, Hui Cao, Xiaxia Xu
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引用次数: 0

摘要

本文讨论了描述结核(TB)肉芽肿形成的数学模型。主要目的是分析Mtb入侵宿主后不同阶段Mtb及免疫细胞的变化趋势。理论分析表明,在不同条件下,无菌平衡和有菌平衡均存在并具有全局稳定性。并对参数进行敏感性分析,确定对Mtb入侵宿主影响最大的参数。通过数值模拟显示了结核分枝杆菌清除、存活或生长繁殖所对应的未感染阶段、潜伏感染阶段和活动性结核。结果提示,感染结核分枝杆菌的个体是否会发展为活动性结核取决于个体的免疫系统。
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Analysis of a simple mathematical model describing tuberculous granuloma
This paper discusses a mathematical model describing the formation of tuberculosis(TB) granulomas. The main purpose is to analyze the change trend of Mtb and immune cells in different stages after Mtb invaded the host. The theoretical analysis indicates that the existence and global stability of bacteria-free equilibrium and bacteria-present equilibrium under different conditions. In addition, the sensitivity analysis is performed on the parameters, which determines the parameters that have the greatest impact on Mtb invading the host. The stage of no infection, the latent TB infection(LTBIs) and active TB corresponding to the clearance, survival or growth and reproduction of Mtb are displayed by the numerical simulations. The results suggest that whether the individuals infected with Mtb will be progressed to the active TB depends on the immune system of individuals.
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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