Abstract：
Free-living amoebae (FLA) serve as hosts for a variety of endosymbionts, which are microorganisms that reside and multiply within the FLA. Some of these endosymbionts pose a pathogenic threat to humans, animals, or both. The symbiotic relationship with FLA not only offers these microorganisms protection but also enhances their survival outside their hosts and assists in their dispersal across diverse habitats, thereby escalating disease transmission. This review is intended to offer an exhaustive overview of the existing mathematical models that have been applied to understand the dynamics of FLA, especially concerning their interactions with bacteria. An extensive literature review was conducted across Google Scholar, PubMed, and Scopus databases to identify mathematical models that describe the dynamics of interactions between FLA and bacteria, as published in peer-reviewed scientific journals. The literature search revealed several FLA-bacteria model systems, including Pseudomonas aeruginosa, Pasteurella multocida, and Legionella spp. Although the published mathematical models account for significant system dynamics such as predator-prey relationships and non-linear growth rates, they generally overlook spatial and temporal heterogeneity in environmental conditions, such as temperature, and population diversity. Future mathematical models will need to incorporate these factors to enhance our understanding of FLA-bacteria dynamics and to provide valuable insights for future risk assessment and disease control measures.
摘要：
自由生活的变形虫（FLA）是各种内共生体的宿主，它们是在FLA中存在和繁殖的微生物。其中一些内共生体对人类构成致病威胁，动物,或者两者兼而有之。与FLA的共生关系不仅为这些微生物提供了保护，而且还增强了它们在宿主之外的生存，并有助于它们在不同生境中的分散。从而加剧疾病传播。这篇综述旨在提供对现有数学模型的详尽概述，这些数学模型已用于理解FLA的动力学，特别是关于它们与细菌的相互作用。谷歌学者进行了广泛的文献综述，PubMed,和Scopus数据库来确定描述FLA和细菌之间相互作用动态的数学模型，发表在同行评审的科学期刊上。文献检索揭示了几个FLA细菌模型系统，包括铜绿假单胞菌,多杀性巴氏杆菌,和军团菌属。尽管已发布的数学模型说明了重要的系统动力学，例如捕食者-食饵关系和非线性增长率，他们通常忽略了环境条件的时空异质性，如温度，和人口多样性。未来的数学模型将需要纳入这些因素，以增强我们对FLA细菌动力学的理解，并为未来的风险评估和疾病控制措施提供有价值的见解。
