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

Table 4.

The relevant equations of glucose feeding [simplified from Ashworth et al. (2016)].

Hepatic variables	Rate equations
Glucose (Glu)	$\frac{d G l u}{d t} = T_{G l u} - ℝ_{G K} + ℝ_{G 6 P a s e}$
Glucose-6-phosphate (G6P)	$\frac{d G 6 P}{d t} = ℝ_{G K} - ℝ_{G 6 P a s e} + ℝ_{F B P} - ℝ_{P F K}$
Key enzymes/reactions
T_Glu – Glucose transportation	$T_{G l u} = V_{G L U T G}^{p u m p} * \frac{G l u_{S H B}}{K_{m}^{G L U T G - p u m p} + G l u_{S H B}} + V_{G L U T G}^{e x} * \frac{G l u_{S H B} - G l u_{S H}}{K_{m}^{G L U T G - e x} + G l u_{S H B} + G l u_{S H}}$
Glucokinase (GK)	$ℝ_{G K} = V_{G K} * \frac{G l u^{n G l u}}{{K m_{G l u}}^{n G l u} + G l u^{n G l u}} * \frac{A T P^{n A T P}}{{K m_{A T P g k}}^{n A T P} + A T P^{n A T P}} * (1 - \frac{G 6 P}{G 6 P + k_{i}^{G 6 P}})$
Glucose-6-phosphatase (G6Pase)	$ℝ_{G 6 P a s e} = V_{G 6 P a s e} * \frac{G 6 P}{K_{m}^{G 6 P a s e} + G 6 P}$
Fructose-bisphosphatase (FBP)	$ℝ_{F B P} = V_{F B P} * \frac{G A 3 P}{K_{m}^{F B P} + G A 3 P}$
Phosphofructokinase (PFK)	$ℝ_{P F K} = V_{P F K} * \frac{G 6 P}{K_{m}^{P F K} + G 6 P} * \frac{A T P}{K m_{A T P p f k} + A T P} * (1 - \frac{A T P}{A T P + k_{i}^{A T P f p k}} * \frac{A D P}{A D P + k_{i}^{A D P f p k}}) * (1 - β_{P F K} \frac{G A 3 P}{G A 3 P + k_{i}^{G A 3 P p f k}})$