Program in Computational Biology, Memorial Sloan-Kettering Cancer Center, New York, New York 10065, USA.
Am Nat. 2011 Dec;178(6):E162-73. doi: 10.1086/662668. Epub 2011 Oct 26.
Bacteriocin production is a spiteful behavior of bacteria that is central to the competitive dynamics of many human pathogens. Social evolution predicts that bacteriocin production is favored when bacteriocin-producing cells are mixed at intermediate frequency with their competitors and when competitive neighborhoods are localized. Both predictions are supported by biofilm experiments. However, the means by which physical and biological processes interact to produce conditions that favor the evolution of bacteriocin production remain to be investigated. Here we fill this gap using analytical and computational approaches. We identify and collapse key parameters into a single number, the critical bacteriocin range, that measures the threshold distance from a focal bacteriocin-producing cell within which its fitness is higher than that of a sensitive cell. We develop an agent-based model to test our predictions and confirm that bacteriocin production is most favored when relatedness is intermediate and competition is local. We then use invasion analysis to determine evolutionarily stable strategies for bacteriocin production. Finally, we perform long-term evolutionary simulations to analyze how the critical bacteriocin range and genetic lineage segregation affect biodiversity in multistrain biofilms. We find that biodiversity is maintained in highly segregated biofilms for a wide array of critical bacteriocin ranges. However, under conditions of high nutrient penetration leading to well-mixed biofilms, biodiversity rapidly decreases and becomes sensitive to the critical bacteriocin range.
细菌素的产生是细菌的一种恶意行为,这对许多人类病原体的竞争动态至关重要。社会进化预测,当产细菌素的细胞与竞争者以中等频率混合,并且竞争小区局部化时,产细菌素的行为就会受到青睐。这两个预测都得到了生物膜实验的支持。然而,物理和生物过程相互作用产生有利于细菌素产生进化的条件的方式仍有待研究。在这里,我们使用分析和计算方法来填补这一空白。我们确定并将关键参数压缩为一个数字,即临界细菌素范围,该范围衡量了从焦点产细菌素细胞到其适应度高于敏感细胞的距离的阈值。我们开发了一个基于代理的模型来测试我们的预测,并证实当亲缘关系处于中等水平且竞争是局部的时,细菌素的产生最有利。然后,我们使用入侵分析来确定细菌素产生的进化稳定策略。最后,我们进行长期进化模拟,以分析临界细菌素范围和遗传谱系隔离如何影响多菌株生物膜中的生物多样性。我们发现,在高度隔离的生物膜中,临界细菌素范围很宽,生物多样性得以维持。然而,在营养物质渗透良好导致生物膜充分混合的条件下,生物多样性迅速下降,并对临界细菌素范围变得敏感。