Kinetics of killing Listeria monocytogenes by macrophages: correlation of 3H-DNA release from labeled bacteria and changes in numbers of viable organisms by mathematical model.

W A Davies
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Abstract

Conventional methods of assessing antibacterial activities of macrophages by viable counting are limited by the precision of the statistics and are difficult to interpret quantitatively because of unrestrained extracellular growth of bacteria. An alternative technique based on the release of radioactive DNA from labeled bacteria has been offered as overcoming these drawbacks. To assess it for use with macrophages I have made a correlation with the conventional viable counting method using a mathematical model. Opsonized Listeria monocytogenes labeled with 3H-thymidine were exposed to rat macrophages for periods up to 4 hr. Numbers of viable bacteria determined after sonication increased exponentially in the absence of live cells and this growth rate was progressively inhibited by increasing numbers of macrophages. After a lag period of 30-60 min soluble 3H appeared in the supernatant, the amount increasing with time and numbers of macrophages. To correlate these data I developed a mathematical model that considered that changes in numbers of viable organisms were due to the difference between rates of 1) growth of extracellular bacteria and 2) killing within the macrophage. On the basis of this model curves of best fit to the viable counts data were used to predict the release of radioactivity, assuming that death of a bacterium led to the total release of its label. These predictions and the experimental data agreed well, the lag period of 30-60 min between death of the bacterium and release of radioactivity being consistent with intracellular digestion. Release of soluble radioactivity appears to be an accurate reflection of the number of bacteria killed within the macrophage.

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巨噬细胞杀死单核增生李斯特菌的动力学:标记细菌3H-DNA释放与活菌数量变化的数学模型关系
通过活菌计数评估巨噬细胞抗菌活性的传统方法受到统计精度的限制,并且由于细菌不受限制的细胞外生长而难以定量解释。一种基于从标记的细菌中释放放射性DNA的替代技术已经被提出,以克服这些缺点。为了评估它在巨噬细胞中的应用,我使用数学模型与传统的活菌计数方法进行了关联。用3h -胸腺嘧啶标记的调理单核增生李斯特菌暴露于大鼠巨噬细胞长达4小时。在没有活细胞的情况下,超声检测后的活菌数量呈指数增长,这种增长速度被巨噬细胞数量的增加逐渐抑制。滞后期30- 60min后,上清液中出现可溶性3H,其含量随时间和巨噬细胞数量的增加而增加。为了将这些数据联系起来,我建立了一个数学模型,该模型认为活菌数量的变化是由于细胞外细菌的生长速度和巨噬细胞内杀伤速度的差异造成的。在这个模型的基础上,假设一个细菌的死亡导致其标签的全部释放,用最适合活菌计数数据的曲线来预测放射性的释放。这些预测和实验数据吻合得很好,细菌死亡和放射性释放之间的滞后时间为30-60分钟,与细胞内消化一致。可溶性放射性物质的释放似乎是巨噬细胞内被杀死细菌数量的准确反映。
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