Nucleus Pulposus Cell Regulatory Network Model


Unit Definitions
ID Units
mole mole (1)
liter litre (1)
second second (1)
molar mole (1); litre (-1)
Compartments
ID Name Size
cell Nucleus Pulposus Cell 1.0
Reactions
ID Reactants/Products Modifiers Math
r_ACAN Reactants:
Products: ACAN
IL_4; IL_10; TGF_beta; IGF1; GDF5; TNF; IL_1beta; IL_6; IL_17A; IL_18; MMP2 1 / (1 + exp(-h * ((IL_4 / (1 + IL_4) + IL_10 / (1 + IL_10) + TGF_beta / (1 + TGF_beta) + IGF1 / (1 + IGF1) + GDF5 / (1 + GDF5) - TNF / (1 + TNF)) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_17A / (1 + IL_17A) + IL_18 / (1 + IL_18) + MMP2 / (1 + MMP2)))) - gamma * ACAN
r_COL1A Reactants:
Products: COL1A
IL_1beta; TNF 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) - TNF / (1 + TNF)))) - gamma * COL1A
r_COL2A Reactants:
Products: COL2A
IL_4; IL_10; TGF_beta; IGF1; GDF5; TNF; IL_1beta; IL_6; IL_17A; IL_18 1 / (1 + exp(-h * ((IL_4 / (1 + IL_4) + IL_10 / (1 + IL_10) + TGF_beta / (1 + TGF_beta) + IGF1 / (1 + IGF1) + GDF5 / (1 + GDF5) - TNF / (1 + TNF)) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_17A / (1 + IL_17A) + IL_18 / (1 + IL_18)))) - gamma * COL2A
r_COL10A1 Reactants:
Products: COL10A1
IL_1beta; IL_10 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) - IL_10 / (1 + IL_10)))) - gamma * COL10A1
r_IFN_gamma Reactants:
Products: IFN_gamma
IL_1beta; IL_4 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) - IL_4 / (1 + IL_4)))) - gamma * IFN_gamma
r_TNF Reactants:
Products: TNF
IL_1beta; IL_6; IL_17A; IL_4; IL_10; TGF_beta; GDF5; TIMP3 1 / (1 + exp(-h * ((IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_17A / (1 + IL_17A) - IL_4 / (1 + IL_4)) + IL_10 / (1 + IL_10) + TGF_beta / (1 + TGF_beta) + GDF5 / (1 + GDF5) + TIMP3 / (1 + TIMP3)))) - gamma * TNF
r_IL_1alpha Reactants:
Products: IL_1alpha
IL_1beta; IL_4; IL_10 1 / (1 + exp(-h * ((IL_1beta / (1 + IL_1beta) - IL_4 / (1 + IL_4)) + IL_10 / (1 + IL_10)))) - gamma * IL_1alpha
r_IL_1beta Reactants:
Products: IL_1beta
TNF; IL_1beta; IL_17A; IL_4; IL_10; TGF_beta; GDF5 1 / (1 + exp(-h * ((TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_17A / (1 + IL_17A) - IL_4 / (1 + IL_4)) + IL_10 / (1 + IL_10) + TGF_beta / (1 + TGF_beta) + GDF5 / (1 + GDF5)))) - gamma * IL_1beta
r_IL_6 Reactants:
Products: IL_6
TNF; IL_1beta; IL_6; IL_8; IL_17A; IL_18; IL_4; IL_10 1 / (1 + exp(-h * (TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_8 / (1 + IL_8) + IL_17A / (1 + IL_17A) + IL_18 / (1 + IL_18) + IL_4 / (1 + IL_4) - IL_10 / (1 + IL_10)))) - gamma * IL_6
r_IL_8 Reactants:
Products: IL_8
TNF; IL_1beta; IL_6; IL_17A; IL_6; IL_4; IL_10 1 / (1 + exp(-h * ((TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_17A / (1 + IL_17A) - IL_6 / (1 + IL_6)) + IL_4 / (1 + IL_4) + IL_10 / (1 + IL_10)))) - gamma * IL_8
r_IL_12A Reactants:
Products: IL_12A
IL_17A; IL_1beta; IL_4; IL_10 1 / (1 + exp(-h * ((IL_17A / (1 + IL_17A) - IL_1beta / (1 + IL_1beta)) + IL_4 / (1 + IL_4) + IL_10 / (1 + IL_10)))) - gamma * IL_12A
r_IL_17A Reactants:
Products: IL_17A
TNF; IL_1beta; IL_4; IL_10; PGRN 1 / (1 + exp(-h * ((TNF / (1 + TNF) - IL_1beta / (1 + IL_1beta)) + IL_4 / (1 + IL_4) + IL_10 / (1 + IL_10) + PGRN / (1 + PGRN)))) - gamma * IL_17A
r_IL_18 Reactants:
Products: IL_18
IL_1beta; IL_4; IL_10 1 / (1 + exp(-h * ((IL_1beta / (1 + IL_1beta) - IL_4 / (1 + IL_4)) + IL_10 / (1 + IL_10)))) - gamma * IL_18
r_IL_1RA Reactants:
Products: IL_1RA
IL_1beta 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) - 0))) - gamma * IL_1RA
r_IL_4 Reactants:
Products: IL_4
IL_1beta; TGF_beta; IL_17A 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) + TGF_beta / (1 + TGF_beta) - IL_17A / (1 + IL_17A)))) - gamma * IL_4
r_IL_10 Reactants:
Products: IL_10
IL_1beta; IL_17A; IL_4; PGRN 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) + IL_17A / (1 + IL_17A) + IL_4 / (1 + IL_4) + PGRN / (1 + PGRN) - 0))) - gamma * IL_10
r_CCL Reactants:
Products: CCL
TNF; IL_1beta; IL_17A; IL_4; IL_10; TGF_beta 1 / (1 + exp(-h * ((TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_17A / (1 + IL_17A) - IL_4 / (1 + IL_4)) + IL_10 / (1 + IL_10) + TGF_beta / (1 + TGF_beta)))) - gamma * CCL
r_CCL22 Reactants:
Products: CCL22
IL_4; IL_1beta; IL_10 1 / (1 + exp(-h * ((IL_4 / (1 + IL_4) - IL_1beta / (1 + IL_1beta)) + IL_10 / (1 + IL_10)))) - gamma * CCL22
r_TGF_beta Reactants:
Products: TGF_beta
TNF; IL_1beta 1 / (1 + exp(-h * ((0 - TNF / (1 + TNF)) + IL_1beta / (1 + IL_1beta)))) - gamma * TGF_beta
r_CCN2 Reactants:
Products: CCN2
TGF_beta 1 / (1 + exp(-h * (TGF_beta / (1 + TGF_beta) - 0))) - gamma * CCN2
r_IGF1 Reactants:
Products: IGF1
IL_4; IL_1beta; IL_6 1 / (1 + exp(-h * ((IL_4 / (1 + IL_4) - IL_1beta / (1 + IL_1beta)) + IL_6 / (1 + IL_6)))) - gamma * IGF1
r_CSF2 Reactants:
Products: CSF2
IL_1beta; IL_10 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) - IL_10 / (1 + IL_10)))) - gamma * CSF2
r_GDF5 Reactants:
Products: GDF5
IL_1beta 1 / (1 + exp(-h * (0 - IL_1beta / (1 + IL_1beta)))) - gamma * GDF5
r_PGRN Reactants:
Products: PGRN
1 / (1 + exp(-h * (0 - 0))) - gamma * PGRN
r_MMP1 Reactants:
Products: MMP1
TNF; IL_1beta; IL_17A; IL_18; MMP3; TGF_beta; TIMP1_2 1 / (1 + exp(-h * ((TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_17A / (1 + IL_17A) + IL_18 / (1 + IL_18) + MMP3 / (1 + MMP3) - TGF_beta / (1 + TGF_beta)) + TIMP1_2 / (1 + TIMP1_2)))) - gamma * MMP1
r_MMP2 Reactants:
Products: MMP2
IL_1beta; TIMP1_2; TGF_beta; IGF1 1 / (1 + exp(-h * ((IL_1beta / (1 + IL_1beta) + TIMP1_2 / (1 + TIMP1_2) - TGF_beta / (1 + TGF_beta)) + IGF1 / (1 + IGF1)))) - gamma * MMP2
r_MMP3 Reactants:
Products: MMP3
TNF; IL_1beta; IL_6; IL_17A; IL_18; IL_1RA; IL_4; TGF_beta; CCN2; IGF1; GDF5; TIMP1_2; TIMP3 1 / (1 + exp(-h * ((TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_17A / (1 + IL_17A) + IL_18 / (1 + IL_18) - IL_1RA / (1 + IL_1RA)) + IL_4 / (1 + IL_4) + TGF_beta / (1 + TGF_beta) + CCN2 / (1 + CCN2) + IGF1 / (1 + IGF1) + GDF5 / (1 + GDF5) + TIMP1_2 / (1 + TIMP1_2) + TIMP3 / (1 + TIMP3)))) - gamma * MMP3
r_MMP9 Reactants:
Products: MMP9
TNF; MMP1; MMP2; TGF_beta 1 / (1 + exp(-h * (TNF / (1 + TNF) + MMP1 / (1 + MMP1) + MMP2 / (1 + MMP2) - TGF_beta / (1 + TGF_beta)))) - gamma * MMP9
r_MMP13 Reactants:
Products: MMP13
IFN_gamma; TNF; IL_1beta; IL_6; IL_8; IL_18; IL_1RA; TGF_beta; CCN2; TIMP1_2 1 / (1 + exp(-h * ((IFN_gamma / (1 + IFN_gamma) + TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_8 / (1 + IL_8) + IL_18 / (1 + IL_18) - IL_1RA / (1 + IL_1RA)) + TGF_beta / (1 + TGF_beta) + CCN2 / (1 + CCN2) + TIMP1_2 / (1 + TIMP1_2)))) - gamma * MMP13
r_ADAMTS4_5 Reactants:
Products: ADAMTS4_5
TNF; IL_1beta; IL_6; VEGF; IL_1RA; TGF_beta; TIMP3 1 / (1 + exp(-h * ((TNF / (1 + TNF) + IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + VEGF / (1 + VEGF) - IL_1RA / (1 + IL_1RA)) + TGF_beta / (1 + TGF_beta) + TIMP3 / (1 + TIMP3)))) - gamma * ADAMTS4_5
r_TIMP1_2 Reactants:
Products: TIMP1_2
IL_6; IL_10; TGF_beta; IGF1; TNF 1 / (1 + exp(-h * (IL_6 / (1 + IL_6) + IL_10 / (1 + IL_10) + TGF_beta / (1 + TGF_beta) + IGF1 / (1 + IGF1) - TNF / (1 + TNF)))) - gamma * TIMP1_2
r_TIMP3 Reactants:
Products: TIMP3
TGF_beta; IL_17A 1 / (1 + exp(-h * (TGF_beta / (1 + TGF_beta) - IL_17A / (1 + IL_17A)))) - gamma * TIMP3
r_VEGF Reactants:
Products: VEGF
IL_1beta; IL_6; IL_17A; MMP3; MMP13; ADAMTS4_5; TIMP3 1 / (1 + exp(-h * (IL_1beta / (1 + IL_1beta) + IL_6 / (1 + IL_6) + IL_17A / (1 + IL_17A) + MMP3 / (1 + MMP3) + MMP13 / (1 + MMP13) + ADAMTS4_5 / (1 + ADAMTS4_5) - TIMP3 / (1 + TIMP3)))) - gamma * VEGF
Simulation Parameters
ID Name Metaid Units Value
gamma second
h dimensionless
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