$\mathrm{Ksynth}$ $\mathrm{kB}\mathrm{lsrRK}$ $\mathrm{kB}\mathrm{lsrRK}$ $\mathrm{Kp}\mathrm{lsrACDBFG}$ $\mathrm{Kp}\mathrm{lsrACDBFG}$ $\mathrm{Kcat}\mathrm{LsrFG}\frac{\mathrm{AI2P}}{\mathrm{AI2P}+\mathrm{Km\_cat}}$ $(\mathrm{gamma\_T}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{LsrACDB}$ $\frac{\mathrm{cell}\mathrm{conversion}\mathrm{Vmax\_porin}(\mathrm{AI2peri}-\mathrm{AI2out})}{\mathrm{AI2peri}+\mathrm{AI2out}+\mathrm{Km\_porin}}$ $\frac{\mathrm{Vmax\_porin}(\mathrm{AI2out}-\mathrm{AI2peri})}{\mathrm{AI2out}+\mathrm{AI2peri}+\mathrm{Km\_porin}}$ $(\mathrm{gamma\_AI2peri}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{AI2peri}$ $(\mathrm{gamma\_R}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{LsrR}$ $(\mathrm{gamma\_mr1}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{lsrRK}$ $(\mathrm{gamma\_FG}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{LsrFG}$ $(\mathrm{gamma\_K}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{LsrK}$ $(\mathrm{gamma\_mr2}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{lsrACDBFG}$ $(\mathrm{gamma\_AI2P}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{AI2P}$ $(\mathrm{gamma\_AI2}+\frac{\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}})\mathrm{AI2}$ $\frac{\mathrm{take}\mathrm{cell}\mathrm{yield}\mathrm{substrate}}{\mathrm{Kmid}+\mathrm{substrate}}$ $\mathrm{VydgG}\frac{\mathrm{AI2}}{\mathrm{AI2}+\mathrm{Kexport}}$ $\frac{\mathrm{cell}\mathrm{yield}\mathrm{substrate}}{\mathrm{substrate}+\mathrm{Kmid}}$ $\mathrm{cell}\mathrm{conversion}\mathrm{VydgG}\frac{\mathrm{AI2}}{\mathrm{AI2}+\mathrm{Kexport}}$ $(\mathrm{Vin}\mathrm{LsrACDB}\mathrm{LsrACDB}\mathrm{LsrACDB}\mathrm{LsrACDB}+\mathrm{basal})\frac{\mathrm{AI2peri}}{\mathrm{AI2peri}+\mathrm{Km\_ABC}}$ $\mathrm{Kphos}\mathrm{LsrK}\frac{\mathrm{AI2}}{\mathrm{Km\_phos}+\mathrm{AI2}}$ $\mathrm{Vmr1}\frac{1}{1+\frac{\mathrm{k2}\mathrm{LsrR}\mathrm{LsrR}\mathrm{LsrR}\mathrm{LsrR}}{\mathrm{r2}+\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}}}$ $\mathrm{Vmr2}\frac{1}{1+\frac{\mathrm{k2}\mathrm{LsrR}\mathrm{LsrR}\mathrm{LsrR}\mathrm{LsrR}}{\mathrm{r2}+\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}\mathrm{AI2P}}}$