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首页> 外文期刊>Journal of Mathematical Biology >Within-host bacterial growth dynamics with both mutation and horizontal gene transfer
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Within-host bacterial growth dynamics with both mutation and horizontal gene transfer

机译：具有突变和水平基因转移的宿主细菌生长动态

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摘要

The evolution and emergence of antibiotic resistance is a major public health concern. The understanding of the within-host microbial dynamics combining mutational processes, horizontal gene transfer and resource consumption, is one of the keys to solving this problem. We analyze a generic model to rigorously describe interactions dynamics of four bacterial strains: one fully sensitive to the drug, one with mutational resistance only, one with plasmidic resistance only, and one with both resistances. By defining thresholds numbers (i.e. each strain's effective reproduction and each strain's transition threshold numbers), we first express conditions for the existence of non-trivial stationary states. We find that these thresholds mainly depend on bacteria quantitative traits such as nutrient consumption ability, growth conversion factor, death rate, mutation (forward or reverse), and segregational loss of plasmid probabilities (for plasmid-bearing strains). Next, concerning the order in the set of strain's effective reproduction thresholds numbers, we show that the qualitative dynamics of the model range from the extinction of all strains, coexistence of sensitive and mutational resistance strains, to the coexistence of all strains at equilibrium. Finally, we go through some applications of our general analysis depending on whether bacteria strains interact without or with drug action (either cytostatic or cytotoxic).
机译：抗生素耐药性的演变和出现是一个主要的公共卫生问题。了解结合突变过程、水平基因转移和资源消耗的宿主内微生物动力学是解决这一问题的关键之一。我们分析了一个通用模型，以严格描述四种细菌菌株的相互作用动力学：一种对药物完全敏感，一种仅具有突变耐药性，一种仅具有质粒耐药性，以及一种同时具有两种耐药性。通过定义阈值数（即每个菌株的有效繁殖和每个菌株的转移阈值数），我们首先表示存在非平凡稳态的条件。我们发现，这些阈值主要取决于细菌数量性状，如营养消耗能力、生长转化因子、死亡率、突变（正向或反向）和质粒分离丢失概率（对于质粒携带菌株）。接下来，关于菌株有效繁殖阈值数集合的顺序，我们表明，该模型的定性动力学范围从所有菌株的灭绝、敏感和突变抗性菌株的共存，到平衡时所有菌株的共存。最后，我们将根据细菌菌株是否与药物作用（细胞抑制作用或细胞毒性）或不与药物作用（细胞抑制作用或细胞毒性作用）相互作用，介绍一般分析的一些应用。

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