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Table 2 Flux values of PD simulations for CA, CC and BC

From: Assumptions on decision making and environment can yield multiple steady states in microbial community models

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

  1. 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, \(D=1.2\)