. 2020 Jul 22;8:762. doi: 10.3389/fbioe.2020.00762

Table 2.

The processes of metabolic reactions and rate functions in the fructose model.

	Key enzymes/reactions	Abbreviation	Rate functions
(1)	Fructokinase	KHK	$ℝ_{K H K} = V_{K H K} * \frac{F r u^{n F r u}}{{K m_{K H K}}^{n F r u} + F r u^{n F r u}} * \frac{A T P^{n A T P}}{{K m_{A T P}}^{n A T P} + A T P^{n A T P}}$
(2)	Aldolase B	aldB	$ℝ_{a l d B} = V_{a l d B} * \frac{{F 1 P}^{n F 1 P}}{{K m_{F 1 P}}^{n F 1 P} + {F 1 P}^{n F 1 P}}$
(3)	Triose phosphate isomerase	TPI	$\begin{array}{l} ℝ_{T P I_D H A P} = V_{T P I_D H A P} * \frac{D H A P^{n D H A P}}{{K m_{D H A P}}^{n D H A P} + D H A P^{n D H A P}} \\ ℝ_{T P I_G A 3 P} = V_{T P I_G A 3 P} * \frac{{G A 3 P}^{n G A 3 P}}{{K m_{T P I G A 3 P}}^{n G A 3 P} + {G A 3 P}^{n G A 3 P}} \end{array}$
(4)	Triokinase	Tri	$ℝ_{T r i} = V_{T r i} * \frac{G A^{n G A}}{{K m_{G A}}^{n G A} + G A^{n G A}} * \frac{{A T P_{M g^{2 -}}}^{n A T P_{M g^{2 -}}}}{{K m_{A T P_{M g^{2 -}}}}^{n A T P_{M g^{2 -}}} + {A T P_{M g^{2 -}}}^{n A T P_{M g^{2 -}}}} * (1 - β_{A T P} \frac{A T P}{K_{i}^{A T P} + A T P}) (1 - β_{A D P} \frac{A D P}{K_{i}^{A D P} + A D P})$
(5)	Pyruvate kinase	PK	$ℝ_{P K} = V_{P K} * \frac{{G A 3 P}^{n G A 3 P}}{{K m_{G A 3 P}}^{n G A 3 P} + {G A 3 P}^{n G A 3 P}} * \frac{A D P^{n A D P p k}}{{K m_{A D P p k}}^{n A D P p k} + A D P^{n A D P p k}} * (1 - β_{A C o A - P K} \frac{A C o A}{K_{i}^{A C o A - P K} + A C o A})$
(6)	Phosphoenolpyruvate carboxykinase	PEPCK	$ℝ_{P E P C K} = V_{P E P C K} * \frac{P y r}{K_{m}^{P E P C K} + P y r} * \frac{A T P}{K_{m}^{A T P p e p c k} + A T P} * \frac{G T P}{K_{m}^{G T P} + G T P}$
(7)	Pyruvate oxidation	PDC	$ℝ_{P D C} = V_{P D C} * \frac{P y r}{K_{m}^{P y r} + P y r} * (1 - β_{A C o A - P D C} \frac{A C o A}{A C o A + k_{i}^{C o A - p y r}})$
(8)	Fatty acid synthesis	FAS	$ℝ_{F A S} {= V}_{F A S} * \frac{A C o A}{K_{m}^{A C o A} + A C o A} * \frac{A T P}{K_{m}^{A T P f a s} + A T P} * (1 - β_{F A} \frac{F A}{F A + k_{i}^{F A - i n h i b}})$
(9)	Beta-oxidation	boxi	$ℝ_{b o x i} {= V}_{b o x i} * \frac{F A}{K_{m}^{b o x i} + F A} * \frac{A T P}{K_{m}^{A T P b o x i} + A T P} * (1 - β_{b o x i} \frac{A C o A}{A C o A + k_{i}^{C o A - b o x i}}) * (1 - β_{P P A R α} \frac{F 1 P}{F 1 P + k_{i}^{F 1 P - i n h i b}})$
(10)	Triglyceride synthesis	TGS	${ℝ_{T G S} = V}_{T G S} * \frac{F A}{K_{m}^{F A} + F A} * \frac{G A 3 P}{K_{m}^{T G S G A 3 P} + G A 3 P}$
(11)	Lipolysis	Lply	$ℝ_{L p l y} = V_{L p l y} * \frac{T G}{K_{m}^{T G} + T G}$