Model Mathematics

Component: environment

Component: GLY

ddtimeGLY=-flux_GP

Component: G1P

ddtimeG1P=flux_GP-V_PGLM

Component: G6P

ddtimeG6P=V_PGLM-V_PGI

Component: F6P

ddtimeF6P=V_PGI-V_PFK

Component: FBP

ddtimeFBP=V_PFK-V_ALD

Component: DHAP

ddtimeDHAP=V_ALD+V_TPI

Component: GAP

ddtimeGAP=V_ALD-V_TPI+V_GAPDH

Component: Thirteen_BPG

ddtimeThirteen_BPG=V_GAPDH-V_PGK

Component: three_PG

ddtimethree_PG=V_PGK-V_PGM

Component: two_PG

ddtimetwo_PG=V_PGM-V_ENOL

Component: PEP

ddtimePEP=V_ENOL-V_PK

Component: PYR

ddtimePYR=V_PK-V_LDH

Component: LAC

ddtimeLAC=V_LDH-output output= 0.2 LAC

Component: Pi

ddtimePi=V_ATPase-flux_GP+V_GAPDH

Component: ADP

ddtimeADP=V_PFK+ 2.0 V_ADK+V_CK+V_ATPase+-V_PGK+V_PK

Component: ATP

ddtimeATP=V_PGK+V_PK+-V_PFK+V_ADK+V_CK+V_ATPase

Component: AMP

ddtimeAMP=-V_ADK

Component: PCr

ddtimePCr=V_CK

Component: Cr

ddtimeCr=-V_CK

Component: NADH

ddtimeNADH=V_GAPDH-V_LDH

Component: NAD

ddtimeNAD=V_LDH-V_GAPDH

Component: flux_GP

flux_GP = frac_a V_GPa + frac_b V_GPb

Component: V_GPa

V_GPa = V_max_f GLY Pi Ki_GLY_f K_Pi - V_max_r GLY G1P Ki_GLY_b Ki_G1P 1.0 + GLY Ki_GLY_f + Pi Ki_Pi + GLY Ki_GLY_b + G1P Ki_G1P + GLY Pi K_GLY_f Ki_Pi + GLY G1P K_GLY_b Ki_G1P V_max_r = V_max_f K_GLY_b Ki_G1P Ki_GLY_f K_Pi Keq_GP

Component: V_GPb

V_GPb = V_max_f GLY Pi Ki_GLY_f K_Pi - V_max_r GLY G1P Ki_GLY_b Ki_G1P 1.0 + GLY Ki_GLY_f + Pi Ki_Pi + GLY Ki_GLY_b + G1P Ki_G1P + GLY Pi K_GLY_f Ki_Pi + GLY G1P K_GLY_b Ki_G1P AMP nH K_AMP 1.0 + AMP nH K_AMP V_max_r = V_max_f Ki_GLY_b K_G1P K_GLY_f Ki_Pi Keq_GP

Component: V_PGLM

V_PGLM = V_max_f G1P K_G1P - V_max_r G6P K_G6P 1.0 + G1P K_G1P + G6P K_G6P V_max_r = V_max_f K_G6P K_G1P Keq_PGLM

Component: V_PGI

V_PGI = V_max_f G6P K_G6P - V_max_r F6P K_F6P 1.0 + G6P K_G6P + F6P K_F6P V_max_f = V_max_r K_G6P Keq_PGI K_F6P

Component: V_PFK

V_PFK = V_max_f ATP F6P K_ATP K_F6P - V_max_r ADP FBP K_ADP K_FBP delta 1.0 + alpha L delta_ delta 3.0 1.0 + L delta_ delta 4.0 delta = 1.0 + F6P K_F6P 1.0 + ATP K_ATP + ADP K_ADP + FBP K_FBP 1.0 + ADP K_ADP delta_ = 1.0 + F6P K_F6P_ 1.0 + ATP K_ATP_ + ADP K_ADP_ + FBP K_FBP_ 1.0 + ADP K_ADP_ alpha = K_F6P K_ATP K_F6P_ K_ATP_ L = Lo 1.0 + ATP Ki_ATP 1.0 + d ATP Ki_ATP 1.0 + var_e AMP Ka_AMP 1.0 + AMP Ka_AMP 4.0 V_max_r = V_max_f K_ADP K_FBP K_ATP K_F6P

Component: V_ALD

V_ALD = V_max_f FBP K_FBP - V_max_r DHAP GAP K_DHAP K_GAP 1.0 + FBP K_FBP + DHAP K_DHAP + GAP K_GAP V_max_r = V_max_f K_DHAP K_GAP K_FBP Keq_ALD

Component: V_TPI

V_TPI = V_max_f GAP K_GAP - V_max_r DHAP K_DHAP 1.0 + DHAP K_DHAP + GAP K_GAP V_max_r = V_max_f K_DHAP K_GAP Keq_TPI

Component: V_GAPDH

V_GAPDH = V_max_f GAP NAD Pi K_GAP K_NAD K_Pi - V_max_r Thirteen_BPG NADH K_Thirteen_BPG K_NADH D_GAPDH D_GAPDH = 1.0 + GAP K_GAP + NAD K_NAD + Pi K_Pi + GAP NAD K_GAP K_NAD + GAP NAD Pi K_GAP K_NAD K_Pi + Thirteen_BPG K_Thirteen_BPG + NADH K_NADH + Thirteen_BPG NADH K_Thirteen_BPG K_NADH V_max_r = V_max_f 1 K_Thirteen_BPG K_NADH K_GAP K_NAD K_Pi Keq_GAPDH

Component: V_PGK

V_PGK = V_max_f Thirteen_BPG ADP K_Thirteen_BPG K_ADP - V_max_r three_PG ATP K_three_PG K_ATP 1.0 + Thirteen_BPG K_Thirteen_BPG + ADP K_ADP + Thirteen_BPG ADP K_Thirteen_BPG K_ADP + three_PG K_three_PG + ATP K_ATP + three_PG ATP K_three_PG K_ATP V_max_f = V_max_r K_Thirteen_BPG K_ADP Keq_PGK K_three_PG K_ATP

Component: V_PGM

V_PGM = V_max_f three_PG K_three_PG - V_max_r two_PG K_two_PG 1.0 + three_PG K_three_PG + two_PG K_two_PG V_max_r = V_max_f K_two_PG K_three_PG Keq_PGM

Component: V_ENOL

V_ENOL = V_max_f two_PG K_two_PG - V_max_r PEP K_PEP 1.0 + two_PG K_two_PG + PEP K_PEP V_max_r = V_max_f K_PEP K_two_PG Keq_ENOL

Component: V_PK

V_PK = V_max_f PEP ADP K_PEP K_ADP - V_max_r PYR ATP K_PYR K_ATP 1.0 + PEP K_PEP + ADP K_ADP + PEP ADP K_PEP K_ADP + PYR K_PYR + ATP K_ATP + PYR ATP K_PYR K_ATP V_max_r = V_max_f K_ATP K_PYR K_PEP K_ADP Keq_PK

Component: V_LDH

V_LDH = V_max_f PYR NADH K_PYR K_NADH - V_max_r LAC NAD K_LAC K_NAD 1.0 + PYR K_PYR + NADH K_NADH + PYR NADH K_PYR K_NADH + LAC K_LAC + NAD K_NAD + LAC NAD K_LAC K_NAD V_max_r = V_max_f K_LAC K_NAD K_PYR K_NADH Keq_LDH

Component: V_CK

V_CK = V_max_f ATP Cr Ki_ATP K_Cr - V_max_r ADP PCr Ki_ADP K_PCr 1.0 + ADP Ki_ADP + PCr Ki_PCr + ADP PCr Ki_ADP K_PCr + ATP Ki_ATP + ATP Cr Ki_ATP K_Cr V_max_f = V_max_r Ki_ATP K_Cr Keq_CK Ki_ADP K_PCr

Component: V_ADK

V_ADK = V_max_f ATP AMP K_ATP K_AMP - V_max_r ADP 2.0 K_ADP 2.0 1.0 + ATP K_ATP + AMP K_AMP + ATP AMP K_ATP K_AMP + 2.0 ADP K_ADP + ADP 2.0 K_ADP 2.0 V_max_r = V_max_f K_ADP 2.0 K_ATP K_AMP Keq_ADK

Component: V_ATPase