Table 1 Generalization of emergent properties in cross-feeding anoxic biofilms compared to independent feeding biofilms and unstructured environments (i.e., chemostat)
From: Diffusion-based mechanism explains spatial organization in cross-feeding biofilms
Environment | Microbial interaction | Substrate conversion x (resource usage) | Biomass retention m | Substrate consumption-specific biomass retention \(\frac{1}{{q}_{S}}=\frac{{\rm{biomass}}\,{\rm{retained}}}{{\rm{substrate}}\,{\rm{consumed}}/{\rm{time}}}\) | |
|---|---|---|---|---|---|
Unstructured (chemostat, Ch) | Independent (ind) | \({x}_{1}^{{Ch},{ind}}={x}_{2}^{{Ch},{ind}}\) | \({m}_{1}^{{Ch},{ind}}={m}_{2}^{{Ch},{ind}}\) | \({\left[\frac{1}{{q}_{S}}\right]}_{X1}^{{Ch},{ind}}={\left[\frac{1}{{q}_{S}}\right]}_{X2}^{{Ch},{ind}}\) | |
Cross-feeding (cross) | \({x}_{2}^{{Ch},{cross}} > \,{x}_{1}^{{Ch},{cross}}\) | \({m}_{2}^{{Ch},{cross}} > \,{m}_{1}^{{Ch},{cross}}\) | \({\left[\frac{1}{{q}_{S}}\right]}_{X1}^{{Ch},{cross}}={\left[\frac{1}{{q}_{S}}\right]}_{X2}^{{Ch},{cross}}\) | ||
Structured (biofilm, Bf) | Independent (ind) | \({x}_{1}^{{Bf},{ind}}={x}_{2}^{{Bf},{ind}}\) | \({m}_{1}^{{Bf},{ind}}={m}_{2}^{{Bf},{ind}}\) | \({\left[\frac{1}{{q}_{S}}\right]}_{X1}^{{Bf},{ind}}={\left[\frac{1}{{q}_{S}}\right]}_{X2}^{{Bf},{ind}}\) | |
Cross-feeding (cross) | Primary degrader (X1) | \({x}_{1}^{{Bf},{cross}} < \,{x}_{1}^{{Bf},{ind}}\) | \({m}_{1}^{{Bf},{cross}} < \,{m}_{1}^{{Bf},{ind}}\) | \({\left[\frac{1}{{q}_{S}}\right]}_{X1}^{{Bf},{cross}} < {\left[\frac{1}{{q}_{S}}\right]}_{X1}^{{Bf},{ind}}\) | |
Secondary degrader (X2) | \({x}_{2}^{{Bf},{cross}}\gg \,{x}_{2}^{{Bf},{ind}}\) | \({m}_{2}^{{Bf},{cross}}\gg \,{m}_{2}^{{Bf},{ind}}\) | \({\left[\frac{1}{{q}_{S}}\right]}_{X2}^{{Bf},{cross}}\gg {\left[\frac{1}{{q}_{S}}\right]}_{X2}^{{Bf},{ind}}\) |
