Department of Mathematical Sciences, University of Bath, Bath, UK.
Division of Infectious Disease and Geographic Medicine, Stanford School of Medicine, Stanford, USA.
Bull Math Biol. 2021 May 3;83(6):66. doi: 10.1007/s11538-021-00896-2.
We use mathematical modelling to examine how microbial strain communities are structured by the host specialisation traits and antigenic relationships of their members. The model is quite general and broadly applicable, but we focus on Borrelia burgdorferi, the Lyme disease bacterium, transmitted by ticks to mice and birds. In this system, host specialisation driven by the evasion of innate immunity has been linked to multiple niche polymorphism, while antigenic differentiation driven by the evasion of adaptive immunity has been linked to negative frequency dependence. Our model is composed of two host species, one vector, and multiple co-circulating pathogen strains that vary in their host specificity and their antigenic distances from one another. We explore the conditions required to maintain pathogen diversity. We show that the combination of host specificity and antigenic differentiation creates an intricate niche structure. Unequivocal rules that relate the stability of a strain community directly to the trait composition of its members are elusive. However, broad patterns are evident. When antigenic differentiation is weak, stable communities are typically composed entirely of generalists that can exploit either host species equally well. As antigenic differentiation increases, more diverse stable communities emerge, typically around trait compositions of generalists, generalists and very similar specialists, and specialists roughly balanced between the two host species.
我们利用数学模型来研究宿主特化特征和成员的抗原关系如何构建微生物菌株群落的结构。该模型非常通用且广泛适用,但我们专注于伯氏疏螺旋体(Borrelia burgdorferi),即莱姆病细菌,通过蜱传播给老鼠和鸟类。在这个系统中,由逃避先天免疫驱动的宿主特化与多种生态位多态性相关,而由逃避适应性免疫驱动的抗原分化与负频率依赖性相关。我们的模型由两个宿主物种、一个载体和多个共同循环的病原体菌株组成,这些菌株在宿主特异性和彼此之间的抗原距离上有所不同。我们探索了维持病原体多样性所需的条件。我们表明,宿主特异性和抗原分化的组合创造了一个复杂的生态位结构。将菌株群落的稳定性直接与成员的特征组成相关联的明确规则难以捉摸。然而,广泛的模式是明显的。当抗原分化较弱时,稳定的群落通常完全由能够同等利用两种宿主物种的广义种组成。随着抗原分化的增加,更多样化的稳定群落出现,通常围绕广义种、广义种和非常相似的特化种以及在两种宿主物种之间大致平衡的特化种的特征组成。