arnold11

The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000393) Biomodels notes: The steady state concentration of the metabolites involved are reproduced here. This is the reproduction of the Table S7 (referring Zhu 2007) of the reference (supp. material) publication. The simulation was done using Copasi v4.7 (Build 34). JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.

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A quantitative comparison of Calvin-Benson cycle models.

  • Anne Arnold
  • Zoran Nikoloski
Trends Plant Sci. 2011; 16 (12): 676-683
Abstract
The Calvin-Benson cycle (CBC) provides the precursors for biomass synthesis necessary for plant growth. The dynamic behavior and yield of the CBC depend on the environmental conditions and regulation of the cellular state. Accurate quantitative models hold the promise of identifying the key determinants of the tightly regulated CBC function and their effects on the responses in future climates. We provide an integrative analysis of the largest compendium of existing models for photosynthetic processes. Based on the proposed ranking, our framework facilitates the discovery of best-performing models with regard to metabolomics data and of candidates for metabolic engineering.

Unit definitions have no effect on the numerical analysis of the model. It remains the responsibility of the modeler to ensure the internal numerical consistency of the model. If units are provided, however, the consistency of the model units will be checked.

Name Definition
1.0 litre
0.001 mole
Id Name Spatial dimensions Size
chloroplast chloroplast 3.0 1.0
cytosol cytosol 3.0 1.0
Id Name Initial quantity Compartment Fixed
ADP ADP 0.82 chloroplast (chloroplast)
ADPc ADPc 0.65 cytosol (cytosol)
ATP ATP 0.68 chloroplast (chloroplast)
ATPc ATPc 0.35 cytosol (cytosol)
CO2 CO2 0.009 chloroplast (chloroplast)
DHAP DHAP 0.476190476190476 chloroplast (chloroplast)
DHAPc DHAPc 2.19047619047619 cytosol (cytosol)
DPGA DPGA 0.0011 chloroplast (chloroplast)
E4P E4P 0.05 chloroplast (chloroplast)
F26BPc F26BPc 0.0000078 cytosol (cytosol)
F6P F6P 0.640764257004718 chloroplast (chloroplast)
F6Pc F6Pc 1.68883505322742 cytosol (cytosol)
FBP FBP 0.669999999999999 chloroplast (chloroplast)
FBPc FBPc 2.0 cytosol (cytosol)
G1P G1P 0.0854779518844294 chloroplast (chloroplast)
G1Pc G1Pc 0.226844324349507 cytosol (cytosol)
G6P G6P 1.47375779111085 chloroplast (chloroplast)
G6Pc G6Pc 3.88432062242307 cytosol (cytosol)
GAP GAP 0.0238095238095238 chloroplast (chloroplast)
GAPc GAPc 0.109523809523809 cytosol (cytosol)
GCA GCA 0.36 chloroplast (chloroplast)
GCAc GCAc 0.36 cytosol (cytosol)
GCEA GCEA 0.1812 chloroplast (chloroplast)
GCEAc GCEAc 0.1812 cytosol (cytosol)
GLUc GLUc 24.0 cytosol (cytosol)
GLYc GLYc 1.8 cytosol (cytosol)
GOAc GOAc 0.028 cytosol (cytosol)
HPRc HPRc 0.0035 chloroplast (chloroplast)
HeP HeP 2.2 chloroplast (chloroplast)
HePc HePc 5.8 cytosol (cytosol)
KGc KGc 0.4 cytosol (cytosol)
NAD NAD 0.4 cytosol (cytosol)
NADH NADH 0.47 cytosol (cytosol)
NADP NADP 0.29 chloroplast (chloroplast)
NADPH NADPH 0.21 chloroplast (chloroplast)
O2 O2 0.2646 chloroplast (chloroplast)
PGA PGA 2.4 chloroplast (chloroplast)
PGAc PGAc 0.0 cytosol (cytosol)
PGCA PGCA 0.0029 chloroplast (chloroplast)
PeP PeP 0.25 chloroplast (chloroplast)
Pi Pi 1.4749 chloroplast (chloroplast)
PiPic PiPic 0.00000140022767958214 cytosol (cytosol)
PiTc PiTc 4.0999844 cytosol (cytosol)
Pic Pic 4.09998299977232 cytosol (cytosol)
R5P R5P 0.125186846038864 chloroplast (chloroplast)
Ru5P Ru5P 0.0500747384155456 chloroplast (chloroplast)
RuBP RuBP 2.0 chloroplast (chloroplast)
S7P S7P 2.0 chloroplast (chloroplast)
SBP SBP 0.3 chloroplast (chloroplast)
SERc SERc 7.5 cytosol (cytosol)
SucPc SucPc 0.0 cytosol (cytosol)
Succ Succ 0.0 cytosol (cytosol)
TP TP 0.5 chloroplast (chloroplast)
TPc TPc 2.3 cytosol (cytosol)
UDPGc UDPGc 0.57 cytosol (cytosol)
UDPc UDPc 0.18 cytosol (cytosol)
UTPc UTPc 0.75 cytosol (cytosol)
X5P X5P 0.0747384155455904 chloroplast (chloroplast)

Initial assignments are expressions that are evaluated at time=0. It is not recommended to create initial assignments for all model entities. Restrict the use of initial assignments to cases where a value is expressed in terms of values or sizes of other model entities. Note that it is not permitted to have both an initial assignment and an assignment rule for a single model entity.

Definition
Id Name Objective coefficient Reaction Equation and Kinetic Law Flux bounds
AGPase AGPase HeP + ATP > ∅

chloroplast * function_10(Vm, G1P, ATP, K1, K2, ADP, KR1, Pi, KA1, PGA, KA2, F6P, KA3, FBP)
ATP_S ATP synthetase ADP + Pi = ATP

chloroplast * function_4(ADP, Pi, ATP, q, Ks1, Ks2, Kp1, Vm)
F26BPc_P F26BPc phosphatase F26BPc > HePc + Pic

cytosol * function_16(Vm, F26BPc, Pic, Kr1, F6Pc, Kr2, Ks1)
F6P_TK F6P transketolase HeP + TP = E4P + PeP

chloroplast * function_6(Vm, F6P, GAP, X5P, E4P, Ks1, Ks2, X5P, Kr1, E4P, Kr2, q)
F6Pc_K F6Pc kinase HePc + ATPc = F26BPc + ADPc

cytosol * function_15(Vm, F6Pc, ATPc, F26BPc, ADPc, q, Ks1, F26BPc, Kr1, DHAPc, Kr2, Ks2, ADPc, Kr3)
FBP_A FBP aldolase {2.0}TP = FBP

chloroplast * function_4(GAP, DHAP, FBP, q, Ks1, Ks2, Kp1, Vm)
FBPase FBPase FBP = HeP + Pi

chloroplast * function_5(Vm, FBP, F6P, Pi, q, Ks1, F6P, Kr1, Pi, Kr2)
FBPc_A FBPc aldolase {2.0}TPc = FBPc

cytosol * function_4(GAPc, DHAPc, FBPc, q, Ks1, Ks2, Kp1, Vm)
FBPcase FBPcase FBPc = HePc + Pic

cytosol * function_12(FBPc, F6Pc, Pic, q, K52a, Kp1, Kp2, Vm)
GAP_DH GAP dehydrogenase DPGA + NADPH > TP + NADP

chloroplast * function_3(Vm, DPGA, NADPH, K1, K2)
GCAc_Ox GCAc oxidase GCAc > GOAc

cytosol * function_17(GCAc, Km, V)
GCEA_DH GCEA dehydrogenase HPRc + NADH = GCEAc + NAD

function_21(Vm, HPRc, NADH, GCEAc, NAD, q, Ks1, HPRc, Kr1)
GCEA_K GCEA kinase ATP + GCEA = PGA + ADP

chloroplast * function_20(Vm, ATP, GCEA, PGA, ADP, q, Ks1, PGA, Kr1, Ks2)
GLUcGOAc_AT GLUc:GOAc aminotransferase GLUc + GOAc = KGc + GLYc

cytosol * function_20(Vm, GLUc, GOAc, KGc, GLYc, q, Ks1, GLYc, Kr1, Ks2)
GLYc_DC GLYc decarboxylase {2.0}GLYc > SERc

cytosol * function_22(Vm, GLYc, Ks1, SERc, Kr1)
GPT_GCA GPT - GCA GCA > GCAc

function_18(GCA, GCEA, Km, V, Ki)
GPT_GCAc GPT - GCAc GCAc > GCA

function_18(GCAc, GCEAc, Km, V, Ki)
GPT_GCEA GPT - GCEA GCEA > GCEAc

function_18(GCEA, GCA, Km, V, Ki)
GPT_GCEAc GPT - GCEAc GCEAc > GCEA

function_18(GCEAc, GCAc, Km, V, Ki)
PGA_K PGA kinase PGA + ATP > DPGA + ADP

chloroplast * function_2(Vm, PGA, ATP, Ks1, Ks2, ADP, Kr1)
PGAc_Deg PGAc degradation PGAc > ∅

cytosol * function_17(PGAc, Km, V)
PGCA_P PGCA phosphatase PGCA > GCA

chloroplast * function_19(Vm, PGCA, Ks1, GCA, Kr1, Pi, Kr2)
Ru5P_K Ru5P kinase PeP + ATP = RuBP + ADP

chloroplast * function_9(Vm, Ru5P, ATP, RuBP, ADP, q, Ks1, PGA, Kr1, RuBP, Kr2, Pi, Kr3, ADP, Kr41, Ks2, Kr42)
RuBisCO_CO2 RuBisCO - CO2 RuBP > {2.0}PGA

chloroplast * function_1(Wc_min, RuBP, K, PGA, KR1, FBP, KR2, SBP, KR3, Pi, KR4, NADPH, KR5)
RuBisCO_O2 RuBisC0 - O2 RuBP > PGA + PGCA

chloroplast * function_1(Wo_min, RuBP, K, PGA, KR1, FBP, KR2, SBP, KR3, Pi, KR4, NADPH, KR5)
S7P_TK S7P transketolase TP + S7P = {2.0}PeP

chloroplast * function_6(Vm, GAP, S7P, X5P, R5P, Ks1, Ks2, X5P, Kr1, R5P, Kr2, q)
SBP_A SBP aldolase TP + E4P = SBP

chloroplast * function_7(Vm, DHAP, E4P, SBP, q, Ks1, Ks2)
SBPase SBPase SBP = S7P + Pi

chloroplast * function_8(Vm, SBP, S7P, Pi, q, Ks1, Pi, Kr1)
SERcGOAc_AT SERc:GOAc aminotransferase SERc + GOAc = HPRc + GLYc

function_20(Vm, SERc, GOAc, HPRc, GLYc, q, Ks1, GLYc, Kr1, Ks2)
SucPc_P SucPc phosphatase SucPc = Succ + Pic

cytosol * function_8(Vm, SucPc, Succ, Pic, q, Ks1, Succ, Kr1)
SucPc_S SucPc synthase HePc + UDPGc = SucPc + UDPc

cytosol * function_14(Vm, F6Pc, UDPGc, SucPc, UDPc, q, Ks1, FBPc, Kr1, Ks2, UDPc, Kr2, SucPc, Kr3, Succ, Kr4, Pic, Kr5)
Succ_Deg Succ degradation Succ > ∅

cytosol * function_17(Succ, Km, V)
TPT_DHAP TPT - DHAP TP > TPc

function_11(Vm, DHAP, KA, Pic, K, Pi, KR1, PGA, KR2, GAP, KR3)
TPT_GAP TPT - GAP TP > TPc

function_11(Vm, GAP, KA, Pic, K, Pi, KR1, PGA, KR2, DHAP, KR3)
TPT_PGA TPT - PGA PGA > PGAc

function_11(Vm, PGA, KA, Pic, K, Pi, KR1, GAP, KR2, DHAP, KR3)
UGPase UGPase HePc + UTPc = UDPGc + PiPic

cytosol * function_13(G1Pc, UTPc, UDPGc, PiPic, q, Ks1, Ks2, Kp1, Kp2, Vm)

Global parameters

Id Value
E 1.456965457
K52a 0.00277857142857143
Wc_min 0.76667245633627
Wo_min 0.280229143229506
cA 1.5
cAc 1.0
cNc 0.87
cP 15.0
cPc 15.0
cUc 1.5

Local parameters

Id Value Reaction
K 0.02 RuBisCO_CO2 (RuBisCO - CO2)
KR1 0.84 RuBisCO_CO2 (RuBisCO - CO2)
KR2 0.04 RuBisCO_CO2 (RuBisCO - CO2)
KR3 0.075 RuBisCO_CO2 (RuBisCO - CO2)
KR4 0.9 RuBisCO_CO2 (RuBisCO - CO2)
KR5 0.07 RuBisCO_CO2 (RuBisCO - CO2)
Vm 30.1408 PGA_K (PGA kinase)
Ks1 0.24 PGA_K (PGA kinase)
Ks2 0.39 PGA_K (PGA kinase)
Kr1 0.23 PGA_K (PGA kinase)
Vm 4.03948 GAP_DH (GAP dehydrogenase)
K1 0.004 GAP_DH (GAP dehydrogenase)
K2 0.1 GAP_DH (GAP dehydrogenase)
q 7.1 FBP_A (FBP aldolase)
Ks1 0.3 FBP_A (FBP aldolase)
Ks2 0.4 FBP_A (FBP aldolase)
Kp1 0.02 FBP_A (FBP aldolase)
Vm 1.21889 FBP_A (FBP aldolase)
Vm 0.72626 FBPase (FBPase)
q 666000.0 FBPase (FBPase)
Ks1 0.033 FBPase (FBPase)
Kr1 0.7 FBPase (FBPase)
Kr2 12.0 FBPase (FBPase)
Vm 3.12207 F6P_TK (F6P transketolase)
Ks1 0.1 F6P_TK (F6P transketolase)
Ks2 0.1 F6P_TK (F6P transketolase)
Kr1 0.1 F6P_TK (F6P transketolase)
Kr2 0.1 F6P_TK (F6P transketolase)
q 10.0 F6P_TK (F6P transketolase)
Vm 1.21889 SBP_A (SBP aldolase)
q 1.017 SBP_A (SBP aldolase)
Ks1 0.4 SBP_A (SBP aldolase)
Ks2 0.2 SBP_A (SBP aldolase)
Vm 0.324191 SBPase (SBPase)
q 666000.0 SBPase (SBPase)
Ks1 0.05 SBPase (SBPase)
Kr1 12.0 SBPase (SBPase)
Vm 3.12207 S7P_TK (S7P transketolase)
Ks1 0.072 S7P_TK (S7P transketolase)
Ks2 0.46 S7P_TK (S7P transketolase)
Kr1 0.1 S7P_TK (S7P transketolase)
Kr2 1.5 S7P_TK (S7P transketolase)
q 1.17647 S7P_TK (S7P transketolase)
Vm 10.8348 Ru5P_K (Ru5P kinase)
q 6846.0 Ru5P_K (Ru5P kinase)
Ks1 0.05 Ru5P_K (Ru5P kinase)
Kr1 2.0 Ru5P_K (Ru5P kinase)
Kr2 0.7 Ru5P_K (Ru5P kinase)
Kr3 4.0 Ru5P_K (Ru5P kinase)
Kr41 2.5 Ru5P_K (Ru5P kinase)
Ks2 0.059 Ru5P_K (Ru5P kinase)
Kr42 0.4 Ru5P_K (Ru5P kinase)
q 5.734 ATP_S (ATP synthetase)
Ks1 0.014 ATP_S (ATP synthetase)
Ks2 0.3 ATP_S (ATP synthetase)
Kp1 0.3 ATP_S (ATP synthetase)
Vm 15.0 ATP_S (ATP synthetase)
Vm 0.266843 AGPase (AGPase)
K1 0.08 AGPase (AGPase)
K2 0.08 AGPase (AGPase)
KR1 10.0 AGPase (AGPase)
KA1 0.1 AGPase (AGPase)
KA2 0.02 AGPase (AGPase)
KA3 0.02 AGPase (AGPase)
Vm 1.24333 TPT_PGA (TPT - PGA)
KA 0.74 TPT_PGA (TPT - PGA)
K 0.25 TPT_PGA (TPT - PGA)
KR1 0.63 TPT_PGA (TPT - PGA)
KR2 0.075 TPT_PGA (TPT - PGA)
KR3 0.077 TPT_PGA (TPT - PGA)
Vm 1.24333 TPT_GAP (TPT - GAP)
KA 0.74 TPT_GAP (TPT - GAP)
K 0.075 TPT_GAP (TPT - GAP)
KR1 0.63 TPT_GAP (TPT - GAP)
KR2 0.25 TPT_GAP (TPT - GAP)
KR3 0.077 TPT_GAP (TPT - GAP)
Vm 1.24333 TPT_DHAP (TPT - DHAP)
KA 0.74 TPT_DHAP (TPT - DHAP)
K 0.077 TPT_DHAP (TPT - DHAP)
KR1 0.63 TPT_DHAP (TPT - DHAP)
KR2 0.25 TPT_DHAP (TPT - DHAP)
KR3 0.075 TPT_DHAP (TPT - DHAP)
q 12.0 FBPc_A (FBPc aldolase)
Ks1 0.3 FBPc_A (FBPc aldolase)
Ks2 0.4 FBPc_A (FBPc aldolase)
Kp1 0.02 FBPc_A (FBPc aldolase)
Vm 0.107377 FBPc_A (FBPc aldolase)
q 6663.0 FBPcase (FBPcase)
Kp1 0.7 FBPcase (FBPcase)
Kp2 12.0 FBPcase (FBPcase)
Vm 0.063979 FBPcase (FBPcase)
q 0.31 UGPase (UGPase)
Ks1 0.14 UGPase (UGPase)
Ks2 0.1 UGPase (UGPase)
Kp1 0.12 UGPase (UGPase)
Kp2 0.11 UGPase (UGPase)
Vm 0.115403 UGPase (UGPase)
Vm 0.0555034 SucPc_S (SucPc synthase)
q 10.0 SucPc_S (SucPc synthase)
Ks1 0.8 SucPc_S (SucPc synthase)
Kr1 0.8 SucPc_S (SucPc synthase)
Ks2 2.4 SucPc_S (SucPc synthase)
Kr2 0.7 SucPc_S (SucPc synthase)
Kr3 0.4 SucPc_S (SucPc synthase)
Kr4 50.0 SucPc_S (SucPc synthase)
Kr5 11.0 SucPc_S (SucPc synthase)
Vm 0.555034 SucPc_P (SucPc phosphatase)
q 780.0 SucPc_P (SucPc phosphatase)
Ks1 0.35 SucPc_P (SucPc phosphatase)
Kr1 80.0 SucPc_P (SucPc phosphatase)
Vm 0.100915 F6Pc_K (F6Pc kinase)
q 590.0 F6Pc_K (F6Pc kinase)
Ks1 0.5 F6Pc_K (F6Pc kinase)
Kr1 0.021 F6Pc_K (F6Pc kinase)
Kr2 0.7 F6Pc_K (F6Pc kinase)
Ks2 0.5 F6Pc_K (F6Pc kinase)
Kr3 0.16 F6Pc_K (F6Pc kinase)
Vm 0.0168192 F26BPc_P (F26BPc phosphatase)
Kr1 0.5 F26BPc_P (F26BPc phosphatase)
Kr2 0.1 F26BPc_P (F26BPc phosphatase)
Ks1 0.032 F26BPc_P (F26BPc phosphatase)
Km 5.0 Succ_Deg (Succ degradation)
V 2.0 Succ_Deg (Succ degradation)
Km 1.0 PGAc_Deg (PGAc degradation)
V 0.5 PGAc_Deg (PGAc degradation)
Km 0.39 GPT_GCEAc (GPT - GCEAc)
V 5.0 GPT_GCEAc (GPT - GCEAc)
Ki 0.28 GPT_GCEAc (GPT - GCEAc)
Km 0.39 GPT_GCEA (GPT - GCEA)
V 5.0 GPT_GCEA (GPT - GCEA)
Ki 0.28 GPT_GCEA (GPT - GCEA)
Km 0.2 GPT_GCA (GPT - GCA)
V 6.0 GPT_GCA (GPT - GCA)
Ki 0.22 GPT_GCA (GPT - GCA)
Km 0.2 GPT_GCAc (GPT - GCAc)
V 6.0 GPT_GCAc (GPT - GCAc)
Ki 0.22 GPT_GCAc (GPT - GCAc)
K 0.02 RuBisCO_O2 (RuBisC0 - O2)
KR1 0.84 RuBisCO_O2 (RuBisC0 - O2)
KR2 0.04 RuBisCO_O2 (RuBisC0 - O2)
KR3 0.075 RuBisCO_O2 (RuBisC0 - O2)
KR4 0.9 RuBisCO_O2 (RuBisC0 - O2)
KR5 0.07 RuBisCO_O2 (RuBisC0 - O2)
Vm 52.4199 PGCA_P (PGCA phosphatase)
Ks1 0.026 PGCA_P (PGCA phosphatase)
Kr1 94.0 PGCA_P (PGCA phosphatase)
Kr2 2.55 PGCA_P (PGCA phosphatase)
Vm 5.71579 GCEA_K (GCEA kinase)
q 300.0 GCEA_K (GCEA kinase)
Ks1 0.21 GCEA_K (GCEA kinase)
Kr1 0.36 GCEA_K (GCEA kinase)
Ks2 0.25 GCEA_K (GCEA kinase)
Km 0.1 GCAc_Ox (GCAc oxidase)
V 1.45611 GCAc_Ox (GCAc oxidase)
Vm 3.30619 SERcGOAc_AT (SERc:GOAc aminotransferase)
q 0.24 SERcGOAc_AT (SERc:GOAc aminotransferase)
Ks1 2.7 SERcGOAc_AT (SERc:GOAc aminotransferase)
Kr1 33.0 SERcGOAc_AT (SERc:GOAc aminotransferase)
Ks2 0.15 SERcGOAc_AT (SERc:GOAc aminotransferase)
Vm 10.0098 GCEA_DH (GCEA dehydrogenase)
q 250000.0 GCEA_DH (GCEA dehydrogenase)
Ks1 0.09 GCEA_DH (GCEA dehydrogenase)
Kr1 12.0 GCEA_DH (GCEA dehydrogenase)
Vm 2.74582 GLUcGOAc_AT (GLUc:GOAc aminotransferase)
q 607.0 GLUcGOAc_AT (GLUc:GOAc aminotransferase)
Ks1 1.7 GLUcGOAc_AT (GLUc:GOAc aminotransferase)
Kr1 2.0 GLUcGOAc_AT (GLUc:GOAc aminotransferase)
Ks2 0.15 GLUcGOAc_AT (GLUc:GOAc aminotransferase)
Vm 2.49475 GLYc_DC (GLYc decarboxylase)
Ks1 6.0 GLYc_DC (GLYc decarboxylase)
Kr1 4.0 GLYc_DC (GLYc decarboxylase)

Assignment rules

Definition
Ru5P = PeP / (1.0 + 1.0 / 0.4 + 1.0 / 0.67)
Pi = cP - 2.0 * (RuBP + DPGA + FBP + SBP) - (PGA + TP + HeP + E4P + S7P + PeP + ATP + PGCA)
X5P = PeP / 0.67 / (1.0 + 1.0 / 0.4 + 1.0 / 0.67)
G1P = HeP * 0.058 / (1.0 + 1.0 / 2.3 + 0.058)
GAP = 0.05 * TP / (1.0 + 0.05)
DHAP = TP / (1.0 + 0.05)
G6P = HeP / (1.0 + 1.0 / 2.3 + 0.058)
R5P = PeP / 0.4 / (1.0 + 1.0 / 0.4 + 1.0 / 0.67)
K52a = 0.0025 * (1.0 + F26BPc / 7.000000e-05)
ADPc = cAc - ATPc
Wo_min = 0.24 * 2.913930914 * O2 / (O2 + 0.222 * (1.0 + CO2 / 0.0115)) * ((1.0 + RuBP / E - abs(1.0 - RuBP / E)) / 2.0)
UDPc = cUc - UTPc - UDPGc
DHAPc = TPc / (1.0 + 0.05)
G1Pc = HePc * 0.0584 / (1.0 + 1.0 / 2.3 + 0.0584)
Wc_min = 2.913930914 * CO2 / (CO2 + 0.0115 * (1.0 + O2 / 0.222)) * ((1.0 + RuBP / E - abs(1.0 - RuBP / E)) / 2.0)
PiPic = PiTc - Pic
Pic = 12000000.0 / 2.0 * (sqrt(1.0 + 4.0 * PiTc / 12000000.0) - 1.0)
F6Pc = HePc / 2.3 / (1.0 + 1.0 / 2.3 + 0.0584)
PiTc = cPc - 2.0 * (FBPc + F26BPc) - (PGAc + TPc + HePc + SucPc + ATPc + UTPc)
GAPc = 0.05 * TPc / (1.0 + 0.05)
G6Pc = HePc / (1.0 + 1.0 / 2.3 + 0.0584)
ADP = cA - ATP
F6P = HeP / 2.3 / (1.0 + 1.0 / 2.3 + 0.058)

Rate rules

Definition

Algebraic rules

Definition
Definition
function_4(s1, s2, p1, q, Ks1, Ks2, Kp1, Vm) = Vm * (s1 * s2 - p1 / q) / (Ks1 * Ks2 * ((1 + s1 / Ks1) * (1 + s2 / Ks2) + p1 / Kp1))
function_6(Vm, s1, s2, p1, p2, Ks1, Ks2, r1, Kr1, r2, Kr2, q) = Vm * (s1 * s2 - p1 * p2 / q) / ((s1 + Ks1 * (1 + r1 / Kr1 + r2 / Kr2)) * (s2 + Ks2))
function_16(Vm, s1, r1, Kr1, r2, Kr2, Ks1) = Vm * s1 / ((s1 + Ks1) * (1 + r1 / Kr1) * (1 + r2 / Kr2))
function_5(Vm, s1, p1, p2, q, Ks1, r1, Kr1, r2, Kr2) = Vm * (s1 - p1 * p2 / q) / (s1 + Ks1 * (1 + r1 / Kr1 + r2 / Kr2))
function_17(substrate, Km, V) = V * substrate / (Km + substrate)
function_18(substrate, Inhibitor, Km, V, Ki) = V * substrate / (Km + substrate + Km * Inhibitor / Ki)
function_9(Vm, s1, s2, p1, p2, q, Ks1, r1, Kr1, r2, Kr2, r3, Kr3, r4, Kr41, Ks2, Kr42) = Vm * (s1 * s2 - p1 * p2 / q) / ((s1 + Ks1 * (1 + r1 / Kr1 + r2 / Kr2 + r3 / Kr3)) * (s2 * (1 + r4 / Kr41) + Ks2 * (1 + r4 / Kr42)))
function_12(s1, p1, p2, q, Ks1, Kp1, Kp2, Vm) = Vm * (s1 - p1 * p2 / q) / (Ks1 * (s1 / Ks1 + (1 + p1 / Kp1) * (1 + p2 / Kp2)))
function_8(Vm, s1, p1, p2, q, Ks1, r1, Kr1) = Vm * (s1 - p1 * p2 / q) / (s1 + Ks1 * (1 + r1 / Kr1))
function_15(Vm, s1, s2, p1, p2, q, Ks1, r1, Kr1, r2, Kr2, Ks2, r3, Kr3) = Vm * (s1 * s2 - p1 * p2 / q) / ((s1 + Ks1 * (1 + r1 / Kr1) * (1 + r2 / Kr2)) * (s2 + Ks2 * (1 + r3 / Kr3)))
function_21(Vm, s1, s2, p1, p2, q, Ks1, r1, Kr1) = Vm * (s1 * s2 - p1 * p2 / q) / (s1 + Ks1 * (1 + r1 / Kr1))
function_14(Vm, s1, s2, p1, p2, q, Ks1, r1, Kr1, Ks2, r2, Kr2, r3, Kr3, r4, Kr4, r5, Kr5) = Vm * (s1 * s2 - p1 * p2 / q) / ((s1 + Ks1 * (1 + r1 / Kr1)) * (s2 + Ks2 * (1 + r2 / Kr2) * (1 + r3 / Kr3) * (1 + r4 / Kr4) * (1 + r5 / Kr5)))
function_22(Vm, s1, Ks1, r1, Kr1) = Vm * s1 / (s1 + Ks1 * (1 + r1 / Kr1))
function_3(Vm, s1, s2, K1, K2) = Vm * s1 * s2 / ((s1 + K1) * (s2 + K2))
function_1(Vm, S, K, R1, KR1, R2, KR2, R3, KR3, R4, KR4, R5, KR5) = Vm * S / (S + K * (1 + R1 / KR1 + R2 / KR2 + R3 / KR3 + R4 / KR4 + R5 / KR5))
function_20(Vm, s1, s2, p1, p2, q, Ks1, r1, Kr1, Ks2) = Vm * (s1 * s2 - p1 * p2 / q) / ((s1 + Ks1 * (1 + r1 / Kr1)) * (s2 + Ks2))
function_11(Vm, S, KA, A, K, R1, KR1, R2, KR2, R3, KR3) = Vm * S / (S * (1 + KA / A) + K * (1 + (1 + KA / A) * (R1 / KR1 + R2 / KR2 + R3 / KR3)))
function_7(Vm, s1, s2, p1, q, Ks1, Ks2) = Vm * (s1 * s2 - p1 / q) / ((s1 + Ks1) * (s2 + Ks2))
function_19(Vm, s1, Ks1, r1, Kr1, r2, Kr2) = Vm * s1 / (s1 + Ks1 * (1 + r1 / Kr1) * (1 + r2 / Kr2))
function_10(Vm, S1, S2, K1, K2, R1, KR1, R2, KA1, A1, KA2, A2, KA3, A3) = Vm * S1 * S2 / ((S1 + K1) * (1 + R1 / KR1) * (S2 + K2 * (1 + K2 * R2 / (KA1 * A1 + KA2 * A2 + KA3 * A3))))
function_2(Vm, s1, s2, Ks1, Ks2, r1, Kr1) = Vm * s1 * s2 / ((s1 + Ks1) * (s2 + Ks2 * (1 + r1 / Kr1)))
function_13(s1, s2, p1, p2, q, Ks1, Ks2, Kp1, Kp2, Vm) = Vm * (s1 * s2 - p1 * p2 / q) / (Ks1 * Ks2 * ((1 + s1 / Ks1) * (1 + s2 / Ks2) + (1 + p1 / Kp1) * (1 + p2 / Kp2) - 1))
Trigger Assignments