Component: global_variables

Component: volumes

Component: Glc_o

Component: Glc_i

$d Glc_i d time = V_glucose_transport − V_HK$

Component: Glc_6_P_g

$Glc_6_P_g = hexose_P_g / Keq_PGI Keq_PGI = Fru_6_P_g / Glc_6_P_g$

Component: Fru_6_P_g

$Fru_6_P_g = hexose_P_g / Glc_6_P_g$

Component: hexose_P_g

$d hexose_P_g d time = V_HK − V_PFK$

Component: Fru_1_6_BP_g

$d Fru_1_6_BP_g d time = V_PFK − V_ALD$

Component: GA_3_P_g

$GA_3_P_g = Keq_TIM DHAP_g$

Component: triose_P

$d triose_P d time = 2.0 V_ALD + V_GPO − V_GAPDH + V_GDH$

Component: one_three_BPGA_g

$d one_three_BPGA_g d time = V_GAPDH − V_PGK$

Component: three_PGA

$three_PGA = N (1.0 + Vc / Vg) / (1.0 + (1.0 + Keq_PGM + Keq_PGM Keq_ENO) Vc / Vg)$

Component: two_PGA_c

$two_PGA_c = Keq_PGM three_PGA$

Component: N

$d N d time = V_PGK − V_PYK$

Component: PEP_c

$PEP_c = Keq_ENO two_PGA_c$

Component: PYR_c

$d PYR_c d time = V_PYK − V_pyruvate_transport$

Component: pyruvate_o

Component: glycerol_g

Component: DHAP_c

$DHAP_c = (− (Q (1.0 + Keq_TIM) + Vc / Vg C5 − triose_P (1.0 + Vc / Vg) Keq_TIM) + ((Q (1.0 + Keq_TIM) + Vc / Vg C5 − triose_P (1.0 + Vc / Vg) Keq_TIM) 2.0 − 4.0 Keq_TIM Vc / Vg − triose_P (1.0 + Vc / Vg + C5)) 0.5) / 2.0 Keq_TIM Vc / Vg$

Component: DHAP_g

$DHAP_g = Q DHAP_c / (C5 + Keq_TIM DHAP_c)$

Component: Q

$Q = DHAP_g + GA_3_P_g + Gly_3_P_g$

Component: Gly_3_P_c

$Gly_3_P_c = C5 − DHAP_c$

Component: Gly_3_P_g

$Gly_3_P_g = Q − DHAP_g + GA_3_P_g$

Component: H2O

Component: O2

Component: NAD_g

$NAD_g = C3 − NADH_g$

Component: NADH_g

$d NADH_g d time = V_GAPDH − V_GDH$

Component: P_g

$d P_g d time = V_PGK + V_GK − V_HK + V_PFK$

Component: P_c

$d P_c d time = V_PYK − V_ATP_utilisation$

Component: ATP_g

$ATP_g = (C1 − − (P_g (1.0 − 4.0 Keq_AK)) + ((C1 − − (P_g (1.0 − 4.0 Keq_AK))) 2.0 − 4.0 (1.0 − 4.0 Keq_AK) − Keq_AK P_g 2.0) 0.5) / 2.0 (1.0 − 4.0 Keq_AK)$

Component: ATP_c

$ATP_c = (C1 − − (P_c (1.0 − 4.0 Keq_AK)) + ((C1 − − (P_c (1.0 − 4.0 Keq_AK))) 2.0 − 4.0 (1.0 − 4.0 Keq_AK) − Keq_AK P_c 2.0) 0.5) / 2.0 (1.0 − 4.0 Keq_AK)$

Component: ADP_g

$ADP_g = P_g − 2.0 ATP_g$

Component: ADP_c

$ADP_c = P_c − 2.0 ATP_c$

Component: AMP_g

$AMP_g = C1 − ATP_g + ADP_g$

Component: AMP_c

$AMP_c = C2 − ATP_c + ADP_c$

Component: C1

$C1 = ATP_g + ADP_g + AMP_g$

Component: C2

$C2 = ATP_c + ADP_c + AMP_c$

Component: C3

$C3 = NADH_g + NAD_g$

Component: C4

$C4 = Gly_3_P_g + DHAP_g + Glc_6_P_g + Fru_6_P_g + 2.0 Fru_1_6_BP_g + GA_3_P_g + one_three_BPGA_g + 2.0 ATP_g + ADP_g$

Component: C5

$C5 = Gly_3_P_c + DHAP_c$

Component: V_glucose_transport

$V_glucose_transport = V_glucose_transport_max (Glc_o − Glc_i) / (K_Glc + Glc_o + Glc_i + alpha Glc_o Glc_i / K_Glc)$

Component: V_pyruvate_transport

$V_pyruvate_transport = V_pyruvate_transport_max PYR_c / K_pyruvate (1.0 + PYR_c / K_pyruvate)$

Component: V_GPO

$V_GPO = V_GPO_max Gly_3_P_c / K_Gly_3_P (1.0 + Gly_3_P_c / K_Gly_3_P)$

Component: V_HK

$V_HK = V_HK_max Glc_i / K_Glc_i / (1.0 + Glc_i / K_Glc_i + Glc_6_P_g / K_Glc_6_P_g) ATP_g / K_ATP / (1.0 + ATP_g / K_ATP + ADP_g / K_ADP)$

Component: V_GAPDH

$V_GAPDH = V_GAPDH_max_plus GA_3_P_g / K_GA_3_P (NAD_g / K_NAD − V_GAPDH_max_ratio) one_three_BPGA_g / K_1_3_BPGA NADH_g / K_NADH / (1.0 + GA_3_P_g / K_GA_3_P + one_three_BPGA_g / K_1_3_BPGA) (1.0 + NAD_g / K_NAD + NADH_g / K_NADH)$

Component: V_PGK

$V_PGK = V_PGK_max_plus one_three_BPGA_g / K_1_3_BPGA (ADP_g / K_ADP − V_PGK_max_ratio) three_PGA / K_3_PGA ATP_g / K_ATP / (1.0 + one_three_BPGA_g / K_1_3_BPGA + three_PGA / K_3_PGA) (1.0 + ADP_g / K_ADP + ATP_g / K_ATP)$

Component: V_GK

$V_GK = V_GK_max_plus Gly_3_P_g / K_Gly_3_P (ADP_g / K_ADP − V_GK_max_ratio) glycerol_g / K_glycerol ATP_g / K_ATP / (1.0 + Gly_3_P_g / K_Gly_3_P + glycerol_g / K_glycerol) (1.0 + ADP_g / K_ADP + ATP_g / K_ATP)$

Component: V_GDH

$V_GDH = V_GDH_max_plus DHAP_g / K_DHAP (NADH_g / K_NADH − V_GDH_max_ratio) Gly_3_P_g / K_Gly_3_P NAD_g / K_NAD / (1.0 + DHAP_g / K_DHAP + Gly_3_P_g / K_Gly_3_P) (1.0 + NADH_g / K_NADH + NAD_g / K_NAD)$

Component: V_PFK

$V_PFK = V_PFK_max Ki_1 / (Fru_1_6_BP_g + Ki_1) Fru_6_P_g / Km_Fru_6_P / (1.0 + Fru_6_P_g / Km_Fru_6_P + Fru_1_6_BP_g / Ki_2) ATP_g / Km_ATP / (1.0 + ATP_g / Km_ATP)$

Component: V_PYK

$V_PYK = V_PYK_max (PEP_c / Km_PEP) n / (1.0 + (PEP_c / Km_PEP) n) ADP_c / Km_ADP / (1.0 + ADP_c / Km_ADP) Km_PEP = 0.34 (1.0 + ATP_c / 0.57 + ADP_c / 0.64)$

Component: V_ALD

$V_ALD = V_ALD_max_plus (Fru_1_6_BP_g / Km_Fru_1_6_BP − V_ALD_max_ratio GA_3_P_g / DHAP_g Km_GA_3_P Km_DHAP) / (1.0 + Fru_1_6_BP_g / Km_Fru_1_6_BP + GA_3_P_g / Km_GA_3_P + DHAP_g / Km_DHAP + Fru_1_6_BP_g GA_3_P_g / Km_Fru_1_6_BP Ki_GA_3_P + DHAP_g GA_3_P_g / Km_DHAP Km_GA_3_P) Km_Fru_1_6_BP = 9.0E-3 (1.0 + ATP_g / 0.68 + ADP_g / 1.51 + AMP_g / 3.65)$

Component: V_ATP_utilisation

$V_ATP_utilisation = k ATP_c / ADP_c$