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Table 2 Kinetic equations of the metabolites fluxes in the model

From: A kinetic metabolic study of lipid production in Chlorella protothecoides under heterotrophic condition

No.

Kinetic equations

1

\(V_{HK} = V_{{{ \text{max} }\_HK}} *\frac{EGLC}{{K_{m\_HK\_EGLC} + EGLC}}\)

2

\(V_{GPI} = V_{{{ \text{max} }\_GPI}} *\frac{G6P}{{K_{m\_GPI\_G6P} + G6P}}\)

3

\(V_{PFK} = V_{{{ \text{max} }\_PFK}} *\frac{F6P}{{K_{m\_PFK\_F6P} + F6P}}\)

4

\(V_{FBPase} = V_{{{ \text{max} }\_FBPase}} *\frac{GD}{{K_{m\_FBPase\_GD} + GD}}\)

5

\(V_{PGK} = V_{{{ \text{max} }\_PGK}} *\frac{GD}{{K_{m\_PGK\_GD} + GD}}\)

6

\(V_{PK} = V_{{{ \text{max} }\_PK}} *\frac{PEP}{{K_{m\_PK\_PEP} + PEP}}\)

7

\(V_{PDH} = V_{{{ \text{max} }\_PDH}} *\frac{PYR}{{K_{m\_PDH\_PYR} + PYR}}\)

8

\(V_{FASN} = V_{{{ \text{max} }\_FASN}} *\frac{AcCOA}{{K_{m\_FASN\_AcCOA} + AcCOA}}\)

9

\(V_{Lipase} = V_{{{ \text{max} }\_Lipase}} *\frac{Lipid}{{K_{m\_Lipase\_Lipid} + Lipid}}\)

10

\(V_{GPAT} = V_{{{ \text{max} }\_GPAT}} *\frac{GlyP}{{K_{m\_GPAT\_GlyP} + GlyP}} - V_{{{\text{maxr}}\_GPAT}} *\frac{Lipid}{{K_{m\_GPAT\_Lipid} + Lipid}}\)

11

\(V_{TPI} = V_{{{ \text{max} }\_TPI}} *\frac{GD}{{K_{m\_TPI\_GD} + GD}}\)

12

\(V_{G6PDH} = V_{{{ \text{max} }\_G6PDH}} *\frac{G6P}{{K_{m\_G6PDH\_G6P} + G6P}}\)

13

\(V_{TK} = V_{{{ \text{max} }\_TK}} *\frac{RX}{{K_{m\_TK\_RX} + RX}}\)

14

\(V_{PPRiBP} = V_{{{ \text{max} }\_PPRiBP}} *\frac{RX}{{K_{m\_PPRiBP\_RX} + RX}}\)

15

\(V_{CK} = V_{{{ \text{max} }\_CK}} *\frac{ADP}{{K_{m\_CK\_ADP} + ADP}}\)

16

\(V_{AK} = V_{{{ \text{max} }\_AK}} *\frac{ATP}{{K_{m\_AK\_ATP} + ATP}}\)

17

\(V_{PGM} = V_{max\_PGM} *\frac{G6P}{{K_{m\_PGM\_G6P} + G6P}} - V_{maxr\_PGM} *\frac{G1P}{{K_{m\_PGM\_G1P} + G1P}}\)

18

\(V_{ADPG} = V_{{{ \text{max} }\_ADPG}} *\frac{G1P}{{K_{m\_ADPG\_G1P} + G1P}}\)

19

\(V_{AP} = V_{{{ \text{max} }\_AP}} *\frac{Starch}{{K_{m\_AP\_Starch} + Starch}}\)

20

\(V_{GHMT} = V_{{{ \text{max} }\_GHMT}} *\frac{GLY}{{K_{m\_GHMT\_GLY} + GLY}}\)

21

\(V_{CS} = V_{{max_{\_} CS}} *\frac{AcCoA}{{K_{m\_CS\_AcCoA} + AcCoA}}\)

22

\(V_{MLD} = V_{max\_MLD} *\frac{MAL}{{K_{m\_MLD\_MAL} + MAL}}\)

23

\(V_{ISOD} = V_{max\_ISOD} *\frac{CIT}{{K_{m\_ISOD\_CIT} + CIT}}\)

24

\(V_{AKGDH} = V_{{{ \text{max} }\_AKGDH}} *\frac{AKG}{{K_{m\_AKGDH\_AKG} + AKG}}\)

25

\(V_{GLDH} = V_{{{ \text{max} }\_GLDH}} *\frac{AKG}{{K_{m\_GLDH\_AKG} + AKG}} - V_{{{\text{maxr}}\_GLDH}} *\frac{AA}{{K_{m\_GLDH\_AA} + AA}}\)

26

\(V_{SCOAS} = V_{{{ \text{max} }\_SCOAS}} *\frac{SCOA}{{K_{m\_SCOAS\_SCOA} + SCOA}}\)

27

\(V_{SDH} = V_{{{ \text{max} }\_SDH}} *\frac{SUCC}{{K_{m\_SDH\_SUCC} + SUCC}}\)

28

\(V_{FH} = V_{{{ \text{max} }\_FH}} *\frac{FUM}{{K_{m\_FH\_FUM} + FUM}}\)

29

\(V_{ME} = V_{{{ \text{max} }\_{\text{ME}}}} *\frac{MAL}{{K_{m\_ME\_MAL} + MAL}}\)

30

\(V_{growth} = V_{{{ \text{max} }\_growth}} *\frac{G6P}{{K_{{m\_growth_{G6P} }} + G6P}} *\frac{RX}{{K_{{m\_growth_{RX} }} + RX}} *\frac{PYR}{{K_{{m\_growth_{PYR} }} + PYR}}*\frac{AcCOA}{{K_{m\_growth\_AcCOA} + AcCOA}} *\frac{Lipid}{{K_{m\_growth\_Lipid} + Lipid}}\)