dutoit1

vPFvALD

f16bpPF = dhapPF + gapPF

vPFvATPASE

atpPF = adpPF

vPFvENO

p2gPF = pepPF

vPFvG3PDH

dhapPF + nadhPF = g3pPF + nadPF

vPFvGAPDH

gapPF + nadPF = b13pgPF + nadhPF

vPFvGLCtr

vPFvGLCtr

glcRBCi = glcPF

vPFvGLYtr

vPFvGLYtr

g3pPF = glyEXT

vPFvHK

atpPF + glcPF = adpPF + g6pPF

vPFvLACtr

vPFvLACtr

lacPF = lacRBCi

vPFvLDH

nadhPF + pyrPF = lacPF + nadPF

vPFvPFK

atpPF + f6pPF = adpPF + f16bpPF

vPFvPGI

g6pPF = f6pPF

vPFvPGK

adpPF + b13pgPF = atpPF + p3gPF

vPFvPGM

p3gPF = p2gPF

vPFvPK

adpPF + pepPF = atpPF + pyrPF

vPFvPYRtr

vPFvPYRtr

pyrPF = pyrRBCi

vPFvTPI

dhapPF = gapPF

vRBCivAK

vRBCivAK

adpRBCi + mgadpRBCi = ampRBCi + mgatpRBCi

vRBCivALD

vRBCivALD

f16p2RBCi = dhapRBCi + gapRBCi

vRBCivATPASE

vRBCivATPASE

mgatpRBCi = mgadpRBCi + phosRBCi

vRBCivBPGSP1

vRBCivBPGSP1

b13pgRBCi + bpgspRBCi = bpgspb13pgRBCi

vRBCivBPGSP2

vRBCivBPGSP2

bpgspb13pgRBCi = bpgsppRBCi + p3gRBCi

vRBCivBPGSP3

vRBCivBPGSP3

bpgsppRBCi + p3gRBCi = bpgsppp3gRBCi

vRBCivBPGSP4

vRBCivBPGSP4

bpgsppRBCi + p2gRBCi = bpgsppp2gRBCi

vRBCivBPGSP5

vRBCivBPGSP5

bpgsppp3gRBCi = bpgspb23pgRBCi

vRBCivBPGSP6

vRBCivBPGSP6

bpgsppp2gRBCi = bpgspb23pgRBCi

vRBCivBPGSP7

vRBCivBPGSP7

bpgspb23pgRBCi = b23pgRBCi + bpgspRBCi

vRBCivBPGSP8

vRBCivBPGSP8

bpgsppRBCi + phosRBCi = bpgsppphosRBCi

vRBCivBPGSP9

vRBCivBPGSP9

bpgsppphosRBCi = bpgspRBCi + {2.0}phosRBCi

vRBCivENO

vRBCivENO

p2gRBCi = pepRBCi

vRBCivG6PDH

vRBCivG6PDH

g6pRBCi + nadpRBCi = nadphRBCi + p6glRBCi

vRBCivGAPDH

vRBCivGAPDH

gapRBCi + nadRBCi + phosRBCi = b13pgRBCi + nadhRBCi

vRBCivGLCTRANSPORT

vRBCivGLCTRANSPORT

glcEXT = glcRBCi

vRBCivGSSGR

vRBCivGSSGR

gssgRBCi + nadphRBCi = {2.0}gshRBCi + nadpRBCi

vRBCivHBADP

vRBCivHBADP

adpRBCi + hbRBCi = hbadpRBCi

vRBCivHBATP

vRBCivHBATP

atpRBCi + hbRBCi = hbatpRBCi

vRBCivHBB13PG

vRBCivHBB13PG

b13pgRBCi + hbRBCi = hbb13pgRBCi

vRBCivHBB23PG

vRBCivHBB23PG

b23pgRBCi + hbRBCi = hbb23pgRBCi

vRBCivHBMGATP

vRBCivHBMGATP

hbRBCi + mgatpRBCi = hbmgatpRBCi

vRBCivHK

vRBCivHK

glcRBCi + mgatpRBCi = g6pRBCi + mgadpRBCi

vRBCivLACTRANSPORT

vRBCivLACTRANSPORT

lacRBCi = lacEXT

vRBCivLDH

vRBCivLDH

nadhRBCi + pyrRBCi = lacRBCi + nadRBCi

vRBCivLDHP

vRBCivLDHP

nadphRBCi + pyrRBCi = lacRBCi + nadpRBCi

vRBCivMGADP

vRBCivMGADP

adpRBCi + mgRBCi = mgadpRBCi

vRBCivMGATP

vRBCivMGATP

mgRBCi + atpRBCi = mgatpRBCi

vRBCivMGB13PG

vRBCivMGB13PG

b13pgRBCi + mgRBCi = mgb13pgRBCi

vRBCivMGB23PG

vRBCivMGB23PG

b23pgRBCi + mgRBCi = mgb23pgRBCi

vRBCivMGF16P2

vRBCivMGF16P2

f16p2RBCi + mgRBCi = mgf16p2RBCi

vRBCivMGG16P2

vRBCivMGG16P2

g16p2RBCi + mgRBCi = mgg16p2RBCi

vRBCivMGPHOS

vRBCivMGPHOS

mgRBCi + phosRBCi = mgphosRBCi

vRBCivOX

vRBCivOX

{2.0}gshRBCi = gssgRBCi

vRBCivOXNADH

vRBCivOXNADH

nadhRBCi = nadRBCi

vRBCivP6GDH

vRBCivP6GDH

nadpRBCi + p6gRBCi = nadphRBCi + ru5pRBCi

vRBCivPFK

vRBCivPFK

f6pRBCi + mgatpRBCi = f16p2RBCi + mgadpRBCi

vRBCivPGI

vRBCivPGI

g6pRBCi = f6pRBCi

vRBCivPGK

vRBCivPGK

b13pgRBCi + mgadpRBCi = mgatpRBCi + p3gRBCi

vRBCivPGLHYDROLYSIS

vRBCivPGLHYDROLYSIS

p6glRBCi = p6gRBCi

vRBCivPGM

vRBCivPGM

p3gRBCi = p2gRBCi

vRBCivPHOSTRANSPORT

vRBCivPHOSTRANSPORT

phosRBCi = phosEXT

vRBCivPK

vRBCivPK

mgadpRBCi + pepRBCi = mgatpRBCi + pyrRBCi

vRBCivPYRTRANSPORT

vRBCivPYRTRANSPORT

pyrRBCi = pyrEXT

vRBCivR5PI

vRBCivR5PI

ru5pRBCi = rib5pRBCi

vRBCivRu5PE

vRBCivRu5PE

ru5pRBCi = xu5pRBCi

vRBCivTA

vRBCivTA

gapRBCi + sed7pRBCi = ery4pRBCi + f6pRBCi

vRBCivTIM

vRBCivTIM

gapRBCi = dhapRBCi

vRBCivTK1

vRBCivTK1

tkRBCi + xu5pRBCi = tkxu5pRBCi

vRBCivTK2

vRBCivTK2

tkxu5pRBCi = gapRBCi + tkgRBCi

vRBCivTK3

vRBCivTK3

rib5pRBCi + tkgRBCi = tkgrib5pRBCi

vRBCivTK4

vRBCivTK4

tkgrib5pRBCi = sed7pRBCi + tkRBCi

vRBCivTK5

vRBCivTK5

ery4pRBCi + tkgRBCi = tkgery4pRBCi

vRBCivTK6

vRBCivTK6

tkgery4pRBCi = f6pRBCi + tkRBCi

Global parameters

Assignment rules

LRBCvPK = 1.58489319246111 * pow(10.0, -7.0) * pHConversionFactor * pow(1.0 + atpRBCi / (KtatpRBCvPK * Vrbci), 4.0) / (hRBC * pow(1.0 + f16p2RBCi / (Krf16p2RBCvPK * Vrbci) + g16p2RBCi / (Krg16p2RBCvPK * Vrbci), 4.0) * pow(1.0 + pepRBCi / (KrpepRBCvPK * Vrbci) + pyrRBCi / (KrpyrRBCvPK * Vrbci), 4.0))

KiapppyrRBCvLDH = 0.284747248950801 * (1.0 + 1.58489319246111 * pow(10.0, -7.0) * pow(10.0, phRBC)) * KipyrRBCvLDH

KiapplacRBCvLDH = 0.715252751049199 * (1.0 + 6.30957344480193 * pow(10.0, 6.0) / pow(10.0, phRBC)) * KilacRBCvLDH

KcatfappRBCvGAPDH = KcatfRBCvGAPDH / (1.0 + pow(10.0, -10.0 + phRBC) + 3.16227766016838 * pow(10.0, 7.0) / pow(10.0, phRBC))

KaappRBCvMGF16P2 = CRBCvMGF16P2 * KaRBCvMGF16P2 * (hRBC * KhfRBCvMGF16P2 * KmghfRBCvMGF16P2 + KRBCvMGF16P2) / (1.0 + hRBC * KhfRBCvMGF16P2 + pow(hRBC, 2.0) * Kh2fRBCvMGF16P2 * KhfRBCvMGF16P2 + KkfRBCvMGF16P2 * kRBC + hRBC * KhfRBCvMGF16P2 * KkhfRBCvMGF16P2 * kRBC)

KaappRBCvMGG16P2 = CRBCvMGG16P2 * KaRBCvMGG16P2 * (hRBC * KhfRBCvMGG16P2 * KmghfRBCvMGG16P2 + KRBCvMGG16P2) / (1.0 + hRBC * KhfRBCvMGG16P2 + pow(hRBC, 2.0) * Kh2fRBCvMGG16P2 * KhfRBCvMGG16P2 + KkfRBCvMGG16P2 * kRBC + hRBC * KhfRBCvMGG16P2 * KkhfRBCvMGG16P2 * kRBC)

KeqRBCvPHOSTRANSPORT = (1.0 + pow(10.0, -6.75 + phRBC)) / (pow(10.0, -6.75 + phRBC) / pow(RtvRBC, 2.0) + pow(RtvRBC, -1.0))

K6appRBCvBPGSP4 = 1.75857757502918 * K6RBCvBPGSP4 / (1.0 + 4.78630092322638 * pow(10.0, 28.0) / pow(10.0, 4.0 * phRBC))

KiappgapRBCvGAPDH = KigapRBCvGAPDH / (1.0 + pow(10.0, -10.0 + phRBC) + 3.16227766016838 * pow(10.0, 7.0) / pow(10.0, phRBC))

glyEXT = ConcGlyEXT * vBld

KaappRBCvHBB13PG = HbpHRBC * KaRBCvHBB13PG

hPF = pHConversionFactor / pow(10.0, phPF)

KaappRBCvHBATP = HbpHRBC * KaRBCvHBATP

KaappRBCvHBMGATP = HbpHRBC * KaRBCvHBMGATP

KiappnadhRBCvGAPDH = 6.30957344480193 * pow(10.0, -8.0) * pow(10.0, phRBC) * KinadhRBCvGAPDH

trophToRBC = Vpf / Vrbci

lacEXT = ConcLacEXT * vBld

KaappRBCvHBADP = HbpHRBC * KaRBCvHBADP

KaappRBCvHBBPG = HbpHRBC * KaRBCvHBBPG

KcatrappRBCvHK = KcatrRBCvHK / (1.0 + 1.0471285480509 * pow(10.0, 7.0) / pow(10.0, phRBC) + 2.81838293126445 * pow(10.0, -10.0) * pow(10.0, phRBC))

K4appRBCvBPGSP3 = 1.75857757502918 * K4RBCvBPGSP3 / (1.0 + 4.78630092322638 * pow(10.0, 28.0) / pow(10.0, 4.0 * phRBC))

KaappRBCvMGADP = CRBCvMGADP * KaRBCvMGADP * (hRBC * KhadpRBCvMGADP * KmghadpRBCvMGADP + KRBCvMGADP) / (1.0 + hRBC * KhadpRBCvMGADP + KkadpRBCvMGADP * kRBC)

K2appRBCvAK = K2RBCvAK * (1.0 + hRBC * KhampRBCvAK + KkampRBCvAK * kRBC)

KmapplacRBCvLDH = 0.715252751049199 * (1.0 + 6.30957344480193 * pow(10.0, 6.0) / pow(10.0, phRBC)) * KmlacRBCvLDH

Kiappb13pgRBCvGAPDH = Kib13pgRBCvGAPDH / (1.0 + pow(10.0, -10.0 + phRBC) + 3.16227766016838 * pow(10.0, 7.0) / pow(10.0, phRBC))

KoRBCvPHOSTRANSPORT = KiRBCvPHOSTRANSPORT / KeqRBCvPHOSTRANSPORT

co2RBCi = ConcCo2RBC * Vrbci

phosEXT = ConcPhosEXT * vBld

KoRBCvPYRTRANSPORT = KiRBCvPYRTRANSPORT / RtvRBC

K13appRBCvBPGSP7 = 1.75857757502918 * K13RBCvBPGSP7 / (1.0 + 4.78630092322638 * pow(10.0, 28.0) / pow(10.0, 4.0 * phRBC))

KoRBCvLACTRANSPORT = KiRBCvLACTRANSPORT / KeqRBCvLACTRANSPORT

KmapppyrRBCvLDH = 0.284747248950801 * (1.0 + 1.58489319246111 * pow(10.0, -7.0) * pow(10.0, phRBC)) * KmpyrRBCvLDH

hRBC = pHConversionFactor / pow(10.0, phRBC)

glcEXT = ConcGlcEXT * vBld

pyrEXT = ConcPyrEXT * vBld

KmappnadhRBCvGAPDH = 6.30957344480193 * pow(10.0, -8.0) * pow(10.0, phRBC) * KmnadhRBCvGAPDH

KeqRBCvLACTRANSPORT = (1.0 + pow(10.0, -3.73 + phRBC)) / (1.0 + pow(10.0, -3.73 + phRBC) / RtvRBC)

K1appRBCvBPGSP1 = 3.51188643150958 * K1RBCvBPGSP1 / (1.0 + 1.58489319246111 * pow(10.0, -7.0) * pow(10.0, phRBC))

KcatfappRBCvHK = KcatfRBCvHK / (1.0 + 1.0471285480509 * pow(10.0, 7.0) / pow(10.0, phRBC) + 2.81838293126445 * pow(10.0, -10.0) * pow(10.0, phRBC))

KcatrappRBCvGAPDH = KcatrRBCvGAPDH / (1.0 + pow(10.0, -10.0 + phRBC) + 3.16227766016838 * pow(10.0, 7.0) / pow(10.0, phRBC))

KaappRBCvMGB23PG = CRBCvMGB23PG * KaRBCvMGB23PG * (hRBC * KhbpgRBCvMGB23PG * KmghbpgRBCvMGB23PG + KRBCvMGB23PG) / (1.0 + hRBC * KhbpgRBCvMGB23PG + pow(hRBC, 2.0) * Kh2bpgRBCvMGB23PG * KhbpgRBCvMGB23PG + KkbpgRBCvMGB23PG * kRBC + hRBC * KhbpgRBCvMGB23PG * KkhbpgRBCvMGB23PG * kRBC)

KaappRBCvMGPHOS = KaRBCvMGPHOS * (1.0 + KkphosRBCvMGPHOS * kRBC + 6.30957344480193 * pow(10.0, -8.0) * KhphosRBCvMGPHOS * pHConversionFactor) / (1.0 + hRBC * KhphosRBCvMGPHOS + KkphosRBCvMGPHOS * kRBC)

K3appRBCvBPGSP2 = 1.75857757502918 * K3RBCvBPGSP2 / (1.0 + 4.78630092322638 * pow(10.0, 28.0) / pow(10.0, 4.0 * phRBC))

KaappRBCvMGATP = CRBCvMGATP * KaRBCvMGATP * (hRBC * KhatpRBCvMGATP * KmghatpRBCvMGATP + KRBCvMGATP) / (1.0 + KkatpRBCvMGATP * kRBC + KhatpRBCvMGATP / (pow(10.0, phRBC) * pHConversionFactor))

K1appRBCvAK = K1RBCvAK * (1.0 + KkadpRBCvAK * kRBC + KhadpRBCvAK * pHConversionFactor / pow(10.0, phRBC))

HbpHRBC = (1.0 + 2.51188643150958 * pow(10.0, 14.0) * pow(KahbRBC, 2.0) / pow(pHConversionFactor, 2.0) + 3.16978638492223 * pow(10.0, 7.0) * KahbRBC / pHConversionFactor) / (1.0 + 2.0 * KahbRBC / hRBC + pow(KahbRBC, 2.0) / pow(hRBC, 2.0))

KaappRBCvMGB13PG = CRBCvMGB13PG * KaRBCvMGB13PG * (hRBC * KhbpgRBCvMGB13PG * KmghbpgRBCvMGB13PG + KRBCvMGB13PG) / (1.0 + hRBC * KhbpgRBCvMGB13PG + pow(hRBC, 2.0) * Kh2bpgRBCvMGB13PG * KhbpgRBCvMGB13PG + KkbpgRBCvMGB13PG * kRBC + hRBC * KhbpgRBCvMGB13PG * KkhbpgRBCvMGB13PG * kRBC)

Function definitions

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


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