Department of Science and Mathematics, Abraham Baldwin Agricultural College, Tifton, GA, USA.
School of Medicine, University of Maryland, Baltimore, MD, USA.
Math Biosci. 2018 Nov;305:18-28. doi: 10.1016/j.mbs.2018.08.010. Epub 2018 Aug 27.
Inhalational anthrax, caused by the gram positive bacteria Bacillus anthracis, is a potentially fatal form of anthrax infection. It is initiated after inhaled spores are deposited in the lung, phagocytosed by immune cells, and subsequently transported to nearby lymph nodes. Intracellular spores that successfully germinate and become vegetative bacteria can lyse their host cell and contribute to bacterial outgrowth and toxin production. To better understand the early disease dynamics of the host-pathogen interaction, we develop a mathematical model of ordinary differential Equations and estimate parameters using available data. The model which consists of two subsystems is designed in accordance with an in vitro experimental protocol in which macrophages were challenged with varying doses of spores at spore-to-macrophage ratios of 1:1, 1:2, 1:10, 1:20. Initial modeling results suggested the need to consider two distinct subpopulations of anthrax bacteria: newly germinated bacteria which cannot replicate immediately and fully vegetative bacteria that can. Additional modeling results provide insights into possible reasons why macrophage-induced killing is more effective at the 1:20 ratio.
吸入性炭疽,由革兰氏阳性细菌炭疽芽孢杆菌引起,是一种潜在致命形式的炭疽感染。它是在吸入的孢子被沉积在肺部,被免疫细胞吞噬,随后被运送到附近的淋巴结后开始的。成功发芽并成为营养细菌的细胞内孢子可以裂解宿主细胞,并有助于细菌的生长和毒素的产生。为了更好地了解宿主-病原体相互作用的早期疾病动态,我们开发了一个常微分方程的数学模型,并使用现有数据估计参数。该模型由两个子系统组成,是根据体外实验方案设计的,其中巨噬细胞用不同剂量的孢子以孢子与巨噬细胞的比例为 1:1、1:2、1:10、1:20 进行刺激。最初的建模结果表明,需要考虑两种不同的炭疽细菌亚群:新发芽的细菌不能立即完全繁殖,而完全营养的细菌可以。进一步的建模结果提供了一些可能的原因,解释了为什么巨噬细胞诱导的杀伤在 1:20 的比例下更有效。