30Encounters among bacteria and their viral predators (bacteriophages) are likely among the most common 31 ecological interactions on Earth. Phage-bacterial coevolution has received abundant theoretical and 32 experimental attention for decades and forms an important basis for molecular genetics and theoretical 33 ecology and evolution. However, at present, relatively little is known about the nature of phage-bacteria 34 interaction inside the surface-bound communities that microbes often occupy in natural environments. 35These communities, termed biofilms, are encased in a matrix of secreted polymers produced by their 36 microbial residents. Biofilms are spatially constrained such that interactions become limited to neighbors 37 or near neighbors; diffusion of solutes and particulates is often reduced; and there is pronounced 38 heterogeneity in nutrient access and therefore physiological state. These factors can dramatically impact 39 the way phage infections proceed even in simple, single-strain biofilms. Here we investigate how biofilm-40 specific properties impact bacteria-phage population dynamics using a computational simulation 41 framework customized for implementing phage infection inside biofilms containing phage-resistant and 42 phage-susceptible bacteria. Our simulations predict that it is far more common for phage-susceptible and 43 phage-resistant bacteria to coexist inside biofilms relative to planktonic culture, where phages and hosts 44 are well-mixed. We characterize the population dynamic feedbacks underlying this coexistence, and we 45 then confirm that coexistence is recapitulated in an experimental model of biofilm growth measured with 46 confocal microscopy at single-cell resolution. Our results provide a clear view into the population 47 dynamics of phage resistance in biofilms with microscopic resolution of the underlying cell-cell and cell-48 phage interactions; they also draw an analogy between phage 'epidemics' on the sub-millimeter scale of 49 biofilms and the process of herd immunity studied for decades at much larger spatial scales in populations 50 of plants and animals. 51
52Because of the sheer number of bacteria and phages in nature, interactions between them are very 53 common (1-9). The imperative of evading phages on the part of their bacterial hostsand of accessing 54 hosts on the part of phageshas driven the evolution of sophisticated defensive and offensive strategies 55 by both (10, 11). Phage resistance can evolve very rapidly in well-mixed liquid cultures of bacteria under 56 phage attack (2, 12, 13). This process has been studied for decades, however phage resistance evolution 57 has received little attention in the context of biofilms, in which cells adhere to surfaces and embed 58 themselves in a secreted polymer matrix (14-16). Biofilm growth is thought to be the most common mode 59 of bacterial life, but we are only just beginning to understand the mechanistic and ecological details of 60 phage-bacteria interaction within them (9,(17)(18)(19). 61Microenvironments ...