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

Table 3.

The transport and exchange rates between Section Hepatic Bloodstream (SHB) and Section Hepatocytes (SH).

Transport variables	Rate functions for cross-membrane transportation
Fructose	$T_{F r u} = V_{G L U T 2}^{p u m p} * \frac{F r u_{S H B}}{K_{m}^{G L U T 2 - p u m p} + F r u_{S H B}} + V_{G L U T 2}^{e x} * \frac{F r u_{S H B} - F r u_{S H}}{K_{m}^{G L U T 2 - e x} + F r u_{S H B} + F r u_{S H}} + V_{G L U T 5}^{p u m p} * \frac{F r u_{S H B}}{K_{m}^{G L U T 5 - p u m p} + F r u_{S H B}} + V_{G L U T 5}^{e x} * \frac{F r u_{S H B} - F r u_{S H}}{K_{m}^{G L U T 5 - e x} + F r u_{S H B} + F r u_{S H}}$
Pyruvate/lactate [simplified from Ashworth et al. (2016)]	$T_{P y r} = V_{P y r}^{e x} * \frac{P y r_{S H B} - P y r_{S H}}{K_{m}^{P y r - e x} + P y r_{S H B} + P y r_{S H}}$
Fatty acids (palmitate) [simplified from Ashworth et al. (2016)]	$T_{F A} = V_{F A}^{e x} * \frac{F A_{S H B} - F A_{S H}}{K_{m}^{F A - e x} + F A_{S H B} + F F A_{S H}} + V_{a c t i v e} * \frac{F A_{S H B}}{(K_{m}^{a c t i v e} + F A_{S H B})} (1 + \frac{I n s}{I n s_{r e f}^{a c t i v e}})$
Triglyceride [simplified from Ashworth et al. (2016)]	$T_{T G} = V_{T G}^{e x} * \frac{(T G_{S H B} - \frac{T G_{S H}}{T G_{r e f}})}{K_{m}^{T G - e x} + T G_{S H B} + \frac{T G_{S H}}{T G_{r e f}}} - V_{o u t} * \frac{T G_{S H}}{(K_{m}^{o u t} + T G_{S H})}$