Table 6.

Glucose (GLU)	$V_{\text{c}}\frac{d{C}_{\text{c,GLU}}}{dt}=-{\phi }_{\text{GLU}\to \text{G6P}}+Q(C_{\text{a,GLU}}-{\sigma }_{\text{GLU}}{C}_{\text{c,GLU}})$
Glucose 6-Phosphate (G6P)	$V_{\text{c}}\frac{d{C}_{\text{c,G6P}}}{dt}={\phi }_{\text{GLU}\to \text{G6P}}+{\phi }_{\text{GLY}\to \text{G6P}}-{\phi }_{\text{G6P}\to \text{GLY}}-{\phi }_{\text{G6P}\to \text{GA3P}}$
Glycogen (GLY)	$V_{\text{c}}\frac{d{C}_{\text{c,GLY}}}{dt}={\phi }_{\text{G6P}\to \text{GLY}}-{\phi }_{\text{GLY}\to \text{G6P}}$
Glyceraldehyde 3-Phosphate (GA3P)	$V_{\text{c}}\frac{d{C}_{\text{c,GA3P}}}{dt}=2{\phi }_{\text{G6P}\to \text{GA3P}}-{\phi }_{\text{GA3P}\to \text{BPG}}$
1,3-Biphospho glycerate (BPG)	$V_{\text{c}}\frac{d{C}_{\text{c,BPG}}}{dt}={\phi }_{\text{GA3P}\to \text{BPG}}-{\phi }_{\text{BPG}\to \text{PYR}}$
Pyruvate (PYR)	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,PYR}}}{dt}={\phi }_{\text{BPG}\to \text{PYR}}+{\phi }_{\text{LAC}\to \text{PYR}}-{\phi }_{\text{PYR}\to \text{LAC}}-{\phi }_{\text{PYR}\to \text{ALA}}\\ -{\phi }_{\text{PYR}\to \text{ACoA}}+Q(C_{\text{a,PYR}}-{\sigma }_{\text{PYR}}{C}_{\text{c,PYR}})\end{array}$
Lactate (LAC)	$V_{\text{c}}\frac{d{C}_{\text{c,LAC}}}{dt}={\phi }_{\text{PYR}\to \text{LAC}}-{\phi }_{\text{LAC}\to \text{PYR}}+Q(C_{\text{a,LAC}}-{\sigma }_{\text{LAC}}{C}_{\text{c,LAC}})$
Alanine (ALA)	$V_{\text{c}}\frac{d{C}_{\text{c,ALA}}}{dt}={\phi }_{\text{PYR}\to \text{ALA}}+Q(C_{\text{a,ALA}}-{\sigma }_{\text{ALA}}{C}_{\text{c,ALA}})$
Triglycerides (TGL)	$V_{\text{c}}\frac{d{C}_{\text{c,TGL}}}{dt}={\phi }_{\text{GLC}\to \text{TGL}}-{\phi }_{\text{TGL}\to \text{GLC}}+Q(C_{\text{a,TGL}}-{\sigma }_{\text{TGL}}{C}_{\text{c,TGL}})$
Glycerol (GLC)	$V_{\text{c}}\frac{d{C}_{\text{c,GLC}}}{dt}={\phi }_{\text{TGL}\to \text{GLC}}-{\phi }_{\text{GLC}\to \text{TGL}}+Q(C_{\text{a,GLC}}-{\sigma }_{\text{GLC}}{C}_{\text{c,GLC}})$
Free Fatty Acid (FFA)	$V_{\text{c}}\frac{d{C}_{\text{c,FFA}}}{dt}=3{\phi }_{\text{TGL}\to \text{GLC}}-3{\phi }_{\text{GLC}\to \text{TGL}}-{\phi }_{\text{FFA}\to \text{FAC}}+Q(C_{\text{a,FFA}}-{\sigma }_{\text{FFA}}{C}_{\text{c,FFA}})$
Fatty Acyl-CoA (FAC)	$V_{\text{c}}\frac{d{C}_{\text{c,FAC}}}{dt}={\phi }_{\text{FFA}\to \text{FAC}}-{\phi }_{\text{FAC}\to \text{ACoA}}$
Acetyl-CoA (ACoA)	$V_{\text{c}}\frac{d{C}_{\text{c,ACoA}}}{dt}={\phi }_{\text{PYR}\to \text{ACoA}}+8{\phi }_{\text{FAC}\to \text{ACoA}}-{\phi }_{\text{ACoA}\to \text{CIT}}$
Citrate (CIT)	$V_{\text{c}}\frac{d{C}_{\text{c,CIT}}}{dt}={\phi }_{\text{ACoA}\to \text{CIT}}-{\phi }_{\text{CIT}\to \text{AKG}}$
α-Ketoglutarate (AKG)	$V_{\text{c}}\frac{d{C}_{\text{c,AKG}}}{dt}={\phi }_{\text{CIT}\to \text{AKG}}-{\phi }_{\text{AKG}\to \text{SCoA}}$
Succinyl-CoA (SCoA)	$V_{\text{c}}\frac{d{C}_{\text{c,SCoA}}}{dt}={\phi }_{\text{AKG}\to \text{SCoA}}-{\phi }_{\text{SCoA}\to \text{SUC}}$
Succinate (SUC)	$V_{\text{c}}\frac{d{C}_{\text{c,SUC}}}{dt}={\phi }_{\text{SCoA}\to \text{SUC}}-{\phi }_{\text{SUC}\to \text{MAL}}$
Malate (MAL)	$V_{\text{c}}\frac{d{C}_{\text{c,MAL}}}{dt}={\phi }_{\text{SUC}\to \text{MAL}}-{\phi }_{\text{MAL}\to \text{OXA}}$
Oxaloacetate (OXA)	$V_{\text{c}}\frac{d{C}_{\text{c,OXA}}}{dt}={\phi }_{\text{MAL}\to \text{OXA}}-{\phi }_{\text{ACoA}\to \text{CIT}}$
CO2	$V_{\text{c}}\frac{d{C}_{\text{c,CO2}}}{dt}={\phi }_{\text{PYR}\to \text{ACoA}}+{\phi }_{\text{CIT}\to \text{AKG}}+{\phi }_{\text{AKG}\to \text{SCoA}}+Q(C_{\text{a,CO2}}-{\sigma }_{\text{CO2}}{C}_{\text{c,CO2}})$
O2	$V_{\text{c}}\frac{d{C}_{\text{c,O2}}}{dt}=-{\phi }_{\text{O2}\to \text{H2O}}+Q(C_{\text{a,O2}}-{\sigma }_{\text{O2}}{C}_{\text{c,O2}})$
PCr	$V_{\text{c}}\frac{d{C}_{\text{c,PCR}}}{dt}={\phi }_{\text{CR}\to \text{PCR}}-{\phi }_{\text{PCR}\to \text{CR}}$
Cr	$V_{\text{c}}\frac{d{C}_{\text{c,CR}}}{dt}={\phi }_{\text{PCR}\to \text{CR}}-{\phi }_{\text{CR}\to \text{PCR}}$
Pi	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,Pi}}}{dt}=2{\phi }_{\text{G6P}\to \text{GLY}}+7{\phi }_{\text{GLC}\to \text{TGL}}+2{\phi }_{\text{FFA}\to \text{FAC}}+{\phi }_{\text{ATP}\to \text{ADP}}-{\phi }_{\text{GLY}\to \text{G6P}}\\ -{\phi }_{\text{GA3P}\to \text{BPG}}-{\phi }_{\text{SCoA}\to \text{SUC}}-5.64{\phi }_{\text{O2}\to \text{H2O}}\end{array}$
CoA	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,CoA}}}{dt}={\phi }_{\text{ACoA}\to \text{CIT}}+{\phi }_{\text{SCoA}\to \text{SUC}}-{\phi }_{\text{PYR}\to \text{ACoA}}-{\phi }_{\text{FFA}\to \text{FAC}}-7{\phi }_{\text{FAC}\to \text{ACoA}}\\ -{\phi }_{\text{AKG}\to \text{SCoA}}\end{array}$
NADH	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,NADH}}}{dt}={\phi }_{\text{GA3P}\to \text{BPG}}+{\phi }_{\text{LAC}\to \text{PYR}}+{\phi }_{\text{PYR}\to \text{ACoA}}+\frac{35}{3}{\phi }_{\text{FAC}\to \text{ACoA}}+{\phi }_{\text{CIT}\to \text{AKG}}\\ +{\phi }_{\text{AKG}\to \text{SCoA}}+\frac{2}{3}{\phi }_{\text{SUC}\to \text{MAL}}+{\phi }_{\text{MAL}\to \text{OXA}}-{\phi }_{\text{PYR}\to \text{LAC}}-1.88{\phi }_{\text{O2}\to \text{H2O}}\end{array}$
NAD+	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,NAD+}}}{dt}={\phi }_{\text{PYR}\to \text{LAC}}+1.88{\phi }_{\text{O2}\to \text{H2O}}-{\phi }_{\text{GA3P}\to \text{BPG}}-{\phi }_{\text{LAC}\to \text{PYR}}-{\phi }_{\text{PYR}\to \text{ACoA}}\\ -\frac{35}{3}{\phi }_{\text{FAC}\to \text{ACoA}}-{\phi }_{\text{CIT}\to \text{AKG}}-{\phi }_{\text{AKG}\to \text{SUC}}-\frac{2}{3}{\phi }_{\text{SUC}\to \text{MAL}}-{\phi }_{\text{MAL}\to \text{OXA}}\end{array}$
ATP	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,ATP}}}{dt}=2{\phi }_{\text{BPG}\to \text{PYR}}+{\phi }_{\text{SCoA}\to \text{SUC}}+5.64{\phi }_{\text{O2}\to \text{H2O}}+{\phi }_{\text{PCR}\to \text{CR}}+{\phi }_{\text{ADP}\to \text{AMP}}\\ -{\phi }_{\text{GLU}\to \text{G6P}}-{\phi }_{\text{G6P}\to \text{GLY}}-{\phi }_{\text{G6P}\to \text{GA3P}}-7{\phi }_{\text{GLC}\to \text{TGL}}-2{\phi }_{\text{FFA}\to \text{FAC}}\\ -{\phi }_{\text{CR}\to \text{PCR}}-{\phi }_{\text{ATP}\to \text{ADP}}-{\phi }_{\text{AMP}\to \text{ADP}}\end{array}$
ADP	$\begin{array}{c}{V}_{\text{c}}\frac{d{C}_{\text{c,ADP}}}{dt}={\phi }_{\text{GLU}\to \text{G6P}}+{\phi }_{\text{G6P}\to \text{GLY}}+{\phi }_{\text{G6P}\to \text{GA3P}}+7{\phi }_{\text{GLC}\to \text{TGL}}+2{\phi }_{\text{FFA}\to \text{FAC}}\\ +{\phi }_{\text{CR}\to \text{PCR}}+{\phi }_{\text{ATP}\to \text{ADP}}+\text{2}{\phi }_{\text{AMP}\to \text{ADP}}-2{\phi }_{\text{BPG}\to \text{PYR}}-{\phi }_{\text{SCoA}\to \text{SUC}}\\ -5.64{\phi }_{\text{O2}\to \text{H2O}}-{\phi }_{\text{PCR}\to \text{CR}}-2{\phi }_{\text{ADP}\to \text{AMP}}\end{array}$
AMP	$V_{\text{c}}\frac{d{C}_{\text{c,AMP}}}{dt}={\phi }_{\text{ADP}\to \text{AMP}}-{\phi }_{\text{AMP}\to \text{ADP}}$