12In natural environments, cells live in complex communities and experience a high degree of 13 heterogeneity internally and in the environment. Unfortunately, most of the metabolic modeling 14 approaches that are currently used assume ideal conditions and that each cell is identical, limiting 15 their application to pure cultures in well-mixed vessels. Here we describe our development of 16MultIscale MultiObjective Systems Analysis (MIMOSA), a metabolic modeling approach that can 17 track individual cells in both space and time, track the diffusion of nutrients and light and the 18 interaction of cells with each other and the environment. As a proof-of concept study, we used 19 MIMOSA to model the growth of Trichodesmium erythraeum, a filamentous diazotrophic 20 cyanobacterium which has cells with two distinct metabolic modes. The use of MIMOSA 21 significantly improves our ability to predictively model metabolic changes and phenotype in more 22 complex cell cultures. 23 linear optimization problems to satisfy species and community level objectives, leveraging the 47 inner solution as a constraint for the outer problem. However, this approach still relies on a priori 48 determination of relative objective preference as well as predetermination of both species-level 49 and community-level objectives. Additionally, cells are treated as homogenous spatial groups (13) 50 or homogenous species groups (14), which limits the accurate simulation of cells acting 51 individually, interacting with their environment, and ultimately forming communities. These 52 approaches thus discount the complexity of individual cells forming communities and, instead of 53 acting uniformly with neighbors or species, create dynamic intercellular and inter-environmental 54 reactions (13,(18)(19)(20). 55
56To more accurately model the complexity of community growth, a new modeling approach must 57 be developed. We have developed MultIscale MultiObjective Systems Analysis (MIMOSA), an 58 advanced metabolic modeling framework for complex systems. This approach uses a multi-scale 59 multi-paradigm metabolic modeling approach can leverage simple, powerful stoichiometric 60 metabolic models and integrate spatio-temporal tracking of cells, nutrient diffusion, cell-cell 61 interactions and cell-environmental interactions. This approach requires the use of both continuous 62 and discrete variables as well as several different mathematical formalisms to reflect the multilevel 63 behavior in populations. Therefore, we use an agent-based modeling (ABM) framework to allow 64 direct interaction of different levels through the encapsulation of physiological, environmental, 65 and metabolic models. ABM is a bottom-up modeling approach; the model is made up of a set of 66 agents, which are allowed to act independently as long as they follow distinct rules of behavior 67 defined by the user, this allows us to simulate emergent behavior of complex communities that 68 arise from individual agent behaviors (21-24). The system behavior emerges as a result of th...