Fig. 1: Assumptions of the CPR model. | The ISME Journal

Fig. 1: Assumptions of the CPR model.

From: Constrained proteome allocation affects coexistence in models of competitive microbial communities

Fig. 1

a Generalization of Scott et al.’s [22] proteome subdivision to the case of NR resources: the proteomic sector allocated by species σ for nutrient uptake and metabolization is subdivided into smaller fractions \(\varphi _{\sigma i} = \varphi _{\sigma i}^P\), each dedicated to a specific resource. b Schematic representation of a consumer-resource model with NR resources and NS species. In this framework, the concentrations ci of the resources and the biomass densities mσ of the species are described by systems of coupled differential equations. Resources are supplied with (constant) rates si, and are uptaken by the species (arrows represent resource flows). The ways in which each species uptakes resources are encoded in the “metabolic strategies”. In our framework we are not considering the exchange of metabolic byproducts between species (i.e., cross-feeding). c Assumptions used to write the equations of the CPR model. Each species σ uptakes resource i with a rate Jσi proportional to the proteome fraction φσi. Then, each resource contributes a growth term \(g_\sigma ^{\left( i \right)}\) (proportional to the resource uptake rate) to the total growth rate. The net growth rate of species σ is the difference between the sum of these contributions and the maintenance cost qσ.

Back to article page