Variable | CA | CC | BC | CC \(D=1.2\) |
---|
\(C_{A_e}\) | 0 | 0.5 | | 0 |
\(C_{B_e}\) | 0 | 0.5 | | 0 |
\(C_{S_e}\) | 1.5 | 1.13 | | 3.6 |
\(X_1\) | 1.42 | 1.97 | 0.5 | 1.07 |
\(X_2\) | 1.42 | 1.97 | 0.5 | 1.07 |
\(\nu _{t_S, 1}\) | 1.5 | 1.13 | 10 | 3.6 |
\(\nu _{t_A, 1}\) | 0 | 0.5 | 5 | 0 |
\(\nu _{t_B, 1}\) | 0 | − 0.627 | -5 | 0 |
\(\nu _{r_A, 1}\) | 0.5 | 0 | 0 | 1.2 |
\(\nu _{r_B,1}\) | 0.5 | 1.13 | 10 | 1.2 |
\(\nu _{\mu , 1}\) | 0.5 | 0.5 | 5 | 1.2 |
\(\nu _{t_S, 2}\) | 1.5 | 1.13 | 10 | 3.6 |
\(\nu _{t_A, 2}\) | 0 | − 0.627 | − 5 | 0 |
\(\nu _{t_B, 2}\) | 0 | 0.5 | 5 | 0 |
\(\nu _{r_A, 2}\) | 0.5 | 1.13 | 10 | 1.2 |
\(\nu _{r_B, 2}\) | 0.5 | 0 | 0 | 1.2 |
\(\nu _{\mu , 2}\) | 0.5 | 0.5 | 5 | 1.2 |
- Variable names correspond to the named reactions and compounds in Fig. 2, identified by subscripts to \(\nu\) for fluxes and to C for concentrations. For CA and CC simulations, we set the inflow nutrient concentration mixture to \(C_{in, A_e}=0\), \(C_{in, B_e}=0\) and \(C_{in, S_e}=10\). As capacity constraints, the uptake fluxes of both organisms, defined in the uptake direction, were assumed to be smaller than their respective extracelleluar concentrations, \(\nu _{t_S} \le C_{S_e}, \nu _{t_A} \le C_{A_e}, \nu _{t_B} \le C_{B_e}\) (organism subscripts on the fluxes omitted). For BC, we used the culture uptake bounds \(u_{A_e}=0\), \(u_{B_e}=0\) and \(u_{S_e}=10\). The flow rate was set to \(D=0.5\) except for the last column that used a higher flow rate, \(D=1.2\)