Mathematical Model of the Immunopathological Progression of Tuberculosis

Eliezer Flores-Garza, Mario A. Zetter, R. Hernández-Pando, Elisa Domínguez-Hüttinger
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引用次数: 1

Abstract

Tuberculosis is a worldwide persistent infectious disease. It is caused by bacteria from the Mycobacterium tuberculosis complex that mainly affects the lungs and can be fatal. Using an integrative systems biology approach, we study the immunopathological progression of this disease, analyzing the key interactions between the cells involved in the different phases of the infectious process. We integrated multiple in vivo and in vitro data from immunohistochemical, serological, molecular biology, and cell count assays into a mechanistic mathematical model. The ordinary differential equation (ODE) model captures the regulatory interplay between the phenotypic variation of the main cells involved in the disease progression and the inflammatory microenvironment. The model reproduces in vivo time course data of an experimental model of progressive pulmonary TB in mouse, accurately reflecting the functional adaptations of the host–pathogen interactions as the disease progresses through three phenotypically different phases. We used the model to assess the effect of genotypic variations (encoded as changes in parameters) on disease outcomes. For all genotypes, we found an all-or-nothing response, where the virtual mouse either completely clears the infection or suffers uncontrolled Tb growth. Results show that it is 84% probable that a mouse submitted to a progressive pulmonary TB assay will end up with an uncontrolled infection. The simulations also showed how the genotypic variations shape the transitions across phases, showing that 100% of the genotypes evaluated eventually progress to phase two of the disease, suggesting that adaptive immune response activation was unavoidable. All the genotypes of the network that avoided progressing to phase 3 cleared the infection. Later, by analyzing the three different phases separately, we saw that the anti-inflammatory genotype of phase 3 was the one with the highest probability of leading to uncontrolled bacterial growth, and the proinflammatory genotype associated with phase 2 had the highest probability of bacterial clearance. Forty-two percent of the genotypes evaluated showed a bistable response, with one stable steady state corresponding to infection clearance and the other one to bacteria reaching its carrying capacity. Our mechanistic model can be used to predict the outcomes of different experimental conditions through in silico assays.
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结核病免疫病理过程的数学模型
肺结核是一种全球性的持续性传染病。它是由结核分枝杆菌复合体中的细菌引起的,这种细菌主要影响肺部,可能致命。使用综合系统生物学方法,我们研究了这种疾病的免疫病理学进展,分析了参与感染过程不同阶段的细胞之间的关键相互作用。我们将来自免疫组织化学、血清学、分子生物学和细胞计数测定的多种体内和体外数据整合到一个机制数学模型中。常微分方程(ODE)模型捕捉了参与疾病进展的主要细胞的表型变异与炎症微环境之间的调节相互作用。该模型再现了小鼠进行性肺结核实验模型的体内时程数据,准确反映了随着疾病经过三个表型不同阶段,宿主-病原体相互作用的功能适应。我们使用该模型来评估基因型变异(编码为参数变化)对疾病结果的影响。对于所有基因型,我们都发现了要么全有要么全无的反应,即虚拟小鼠要么完全清除感染,要么遭受不受控制的Tb生长。结果显示,接受渐进性肺结核检测的小鼠最终感染失控的可能性为84%。模拟还显示了基因型变异如何影响跨阶段的转变,显示100%的基因型最终进展到疾病的第二阶段,这表明适应性免疫反应激活是不可避免的。避免进入第三阶段的网络的所有基因型都清除了感染。后来,通过分别分析三个不同的阶段,我们发现第3阶段的抗炎基因型是导致细菌生长失控的概率最高的基因型,而与第2阶段相关的促炎基因型细菌清除的概率最高。42%的被评估基因型表现出双稳态反应,一种稳定的稳态对应于感染清除,另一种对应于细菌达到其携带能力。我们的机理模型可用于通过硅内分析预测不同实验条件下的结果。
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