Table 2 Reaction network capturing synthetic ecosystem’s behavior

$\stackrel{k_1}{--\to }$ c ₁

$k_1·c_1\left(\right.1-\frac{c_1+c_2}{c_{\mathit{\text{max}}}}\left)\right.$

$k_1=\frac{0.234}{h},c_{\mathit{\text{max}}}=10^9\mathit{\text{cells}}$[18, 21]

$\stackrel{k_2}{--\to }{c}_2$

$k_2·c_2\left(\right.1-\frac{c_1+c_2}{c_{\mathit{\text{max}}}}\left)\right.$

$k_2=\frac{0.936}{h}$[19],$c_{\mathit{\text{max}}}=10^9\mathit{\text{cells}}$[18, 21]

$c_1+\mathit{\text{Gc}}\stackrel{k_3}{--\to }\mathit{\text{Gc}}$

$\frac{k_3^{″}·c_1}{1+\alpha ·\mathit{\text{Res}}1}$

$k_3=\frac{4·10^6}{M·h}$[19],$\alpha =\frac{5·10^4}{\mathit{\text{Molecules}}}$

$c_2+\mathit{\text{Gc}}\stackrel{k_3}{--\to }\mathit{\text{Gc}}$

$\frac{k_3^{″}·c_2}{1+\alpha ·\mathit{\text{Res}}2}$

$k_3=\frac{4·10^6}{M·h}$[19],$\alpha =\frac{5·10^4}{\mathit{\text{Molecules}}}$

$c_1\stackrel{k_4}{--\to }\mathit{\text{AHL}}1+c_1$

k₄·c₁

$k_4=5·10^{-6}\frac{1}{h}$[18]

$c_2\stackrel{k_5}{--\to }\mathit{\text{AHL}}2+c_2$

k₅·c₂

$k_5=5·10^{-6}\frac{1}{h}$[18]

$2\mathit{\text{AHL}}2+2\mathit{\text{AHLR}}2\stackrel{k_6}{--\to }\mathit{\text{AHL}}2:\mathit{\text{AHLR}}2$

$\frac{k_6^{″}·\mathit{\text{AHL}}{2}^2}{V_1·\mathit{\text{Na}}}$

$k_6=\frac{3·10^{19}}{M^3·h}$[26],$V_1=3.7·10^{-14}L$[49],

Na = 6.023 · 10²³

$\mathit{\text{AHL}}2:\mathit{\text{AHLR}}2\stackrel{k_7}{--\to }\mathit{\text{preRes}}1$

$\frac{k_7·\mathit{\text{AHL}}2:\mathit{\text{AHLR}}{2}^{n_1}}{k_{7b}^{n_1}+\mathit{\text{AHL}}2:\mathit{\text{AHLR}}{2}^{n_1}}$

$k_7=6·10^{-5}\frac{M}{h},k_{7b}=10^{-8}M,n_1=1$[26]

$\mathit{\text{preRes}}1\stackrel{k_8}{--\to }\mathit{\text{Res}}1$

k₈·preRes 1

$k_8=\frac{5}{h}$

$2\mathit{\text{AHL}}1+2\mathit{\text{AHLR}}1\stackrel{k_9}{--\to }\mathit{\text{AHL}}1:\mathit{\text{AHLR}}1$

$\frac{k_9^{″}·\mathit{\text{AHL}}{1}^2}{V_2·\mathit{\text{Na}}}$

$k_9=\frac{3·10^{19}}{M^3·h}$[26],$V_2=10^{-15}L$[50]

$\mathit{\text{AHL}}1:\mathit{\text{AHLR}}1\stackrel{k_{10}}{--\to }\mathit{\text{Res}}2$

$\frac{k_{10}·\mathit{\text{AHL}}1:\mathit{\text{AHLR}}{1}^{n_2}}{k_{10b}^{n_2}+\mathit{\text{AHL}}1:\mathit{\text{AHLR}}{1}^{n_2}}$

$k_{10}=6·10^{-5}\frac{M}{h},k_{10b}=10^{-8}M,n_2=1$[26]

$\mathit{\text{AHL}}1\stackrel{k_{11}}{--\to }\varnothing$

k₁₁·AHL 1

$k_{11}=\frac{1.19}{h}$[19]

$\mathit{\text{AHL}}2\stackrel{k_{12}}{--\to }\varnothing$

k₁₂·AHL 2

$k_{12}=\frac{1.19}{h}$[19]

$\mathit{\text{AHL}}1:\mathit{\text{AHLR}}1\stackrel{k_{13}}{--\to }\varnothing$

k₁₃·AHL 1:AHLR 1

$k_{13}=\frac{1.386}{h}$[26]

$\mathit{\text{AHL}}2:\mathit{\text{AHLR}}2\stackrel{k_{14}}{--\to }\varnothing$

k₁₄·AHL 2:AHLR 2

$k_{14}=\frac{1.386}{h}$[26]

$\mathit{\text{Res}}1\stackrel{k_{15}}{--\to }\varnothing$

k₁₅·Res 1

$k_{15}=\frac{4}{h}$[20]

$\mathit{\text{Res}}2\stackrel{k_{16}}{--\to }\varnothing$

k₁₆·Res 2

$k_{16}=\frac{4}{h}$[20]