Model Mathematics

Component: environment

Component: volume_ratio

Component: Glc_o

Component: Glc_i

ddtimeGlc_i=V_glucose_transport-V_HK

Component: Glc_6_P_g

Glc_6_P_g=hexose_P_gKeq_PGI

Component: Fru_6_P_g

Fru_6_P_g=hexose_P_g-Glc_6_P_g

Component: hexose_P_g

ddtimehexose_P_g=V_HK-V_PFK

Component: Fru_1_6_BP_g

ddtimeFru_1_6_BP_g=V_PFK-V_ALD

Component: GA_3_P_g

GA_3_P_g=Keq_TIMDHAP_g

Component: triose_P

ddtimetriose_P= 2.0 V_ALD+V_GPO-V_GAPDH+V_GDH

Component: one_three_BPGA_g

ddtimeone_three_BPGA_g=V_GAPDH-V_PGK

Component: three_PGA

three_PGA=N 1.0 +Vc_Vg 1.0 + 1.0 +Keq_PGM+Keq_PGMKeq_ENOVc_Vg

Component: two_PGA_c

two_PGA_c=Keq_PGMthree_PGA

Component: N

ddtimeN=V_PGK-V_PYK

Component: PEP_c

PEP_c=Keq_ENOtwo_PGA_c

Component: PYR_c

ddtimePYR_c=V_PYK-V_pyruvate_transport

Component: glycerol_g

Component: DHAP

DHAP=triose_P 1.0 +Vc_Vg 1.0 +Vc_Vg+Keq_TIM

Component: DHAP_c

DHAP_c=DHAP

Component: DHAP_g

DHAP_g=DHAP

Component: Gly_3_P

Gly_3_P=C4-Glc_6_P_g+Fru_6_P_g+ 2 Fru_1_6_BP_g+GA_3_P_g+one_three_BPGA_g+ 2 ATP_g+ADP_g 1 +Vc_Vg-DHAP

Component: Gly_3_P_c

Gly_3_P_c=Gly_3_P

Component: Gly_3_P_g

Gly_3_P_g=Gly_3_P

Component: NAD_g

NAD_g=C3-NADH_g

Component: NADH_g

ddtimeNADH_g=V_GAPDH-V_GDH

Component: P_g

ddtimeP_g=V_PGK+V_GK-V_HK+V_PFK

Component: P_c

ddtimeP_c=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_AKP_g 2.0 0.5 2.0 1.0 - 4.0 Keq_AK

Component: ATP_c

ATP_c=C2--P_c 1.0 - 4.0 Keq_AK+C2--P_c 1.0 - 4.0 Keq_AK 2.0 - 4.0 1.0 - 4.0 Keq_AK-Keq_AKP_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

Component: C2

Component: C3

Component: C4

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 ATP_g K_ATP Glc_i K_Glc_i 1.0 + ATP_g K_ATP + ADP_g K_ADP 1.0 + Glc_i K_Glc_i

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 Fru_6_P_g Km_Fru_6_P n ATP_g Km_ATP 1.0 + Fru_6_P_g Km_Fru_6_P n 1.0 + ATP_g Km_ATP

Component: V_PYK

V_PYK = V_PYK_max PEP_c Km_PEP n ADP_c Km_ADP 1.0 + PEP_c Km_PEP n 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 =9e-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