goldbeter7
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000201) Biomodels notes: Reproduction of fig 4 using SBML odeSolver and xmgrace. 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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| Simulation | |
|---|---|
| goldbeter2008_Fig4 |
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 | |
|---|---|---|
| — | 1e-09 mole | |
| — | 60.0 second | |
| — | 0.016666666666666666 second^(-1.0) | |
| — | 16666666.666666666 mole^(-1.0) litre second^(-1.0) | |
| — | 1.6666666666666667e-11 mole litre^(-1.0) second^(-1.0) | |
| — | 1e-09 mole litre^(-1.0) | |
| — | 1.0 dimensionless | |
| — | 1.0 litre |
| Id | Name | Spatial dimensions | Size | |
|---|---|---|---|---|
| cytosol | — | 3.0 | 1.0 litre |
| Id | Name | Initial quantity | Compartment | Fixed | |
|---|---|---|---|---|---|
| A | Axin2 protein | 0.1 <substance_units>/litre | cytosol | ✘ | |
| AK | Axin2/Gsk3 destruction complex | <assignment rule> <substance_units>/litre | cytosol | ✔ | |
| B | beta-catenin | 0.1 <substance_units>/litre | cytosol | ✘ | |
| BN | nuclear beta-catenin | 0.001 <substance_units>/litre | cytosol | ✘ | |
| Bp | phosph. beta-catenin | 0.1 <substance_units>/litre | cytosol | ✘ | |
| D | Dsh protein | 2.0 <substance_units>/litre | cytosol | ✘ | |
| Dusp | Dusp6 protein | 0.1 <substance_units>/litre | cytosol | ✘ | |
| ERKa | active ERK | 0.2 <substance_units>/litre | cytosol | ✘ | |
| ERKi | inactive ERK | <assignment rule> <substance_units>/litre | cytosol | ✔ | |
| ERKt | ERK total | 2.0 <substance_units>/litre | cytosol | ✘ | |
| F | Lunatic Fringe protein | 0.001 <substance_units>/litre | cytosol | ✘ | |
| Fgf | Fgf | 1.0 <substance_units>/litre | cytosol | ✘ | |
| K | Gsk3 | 3.0 <substance_units>/litre | cytosol | ✘ | |
| Kt | Kt | 3.0 <substance_units>/litre | cytosol | ✘ | |
| MAx | Axin2 mRNA | 0.1 <substance_units>/litre | cytosol | ✘ | |
| MDusp | Dusp6 mRNA | 0.1 <substance_units>/litre | cytosol | ✘ | |
| MF | Lunatic fringe mRNA | 0.1 <substance_units>/litre | cytosol | ✘ | |
| N | Notch protein | 0.5 <substance_units>/litre | cytosol | ✘ | |
| Na | cytosolic NicD | 0.2 <substance_units>/litre | cytosol | ✘ | |
| Nan | nuclear NicD | 0.0 <substance_units>/litre | cytosol | ✘ | |
| Rasa | active Ras | 0.5 <substance_units>/litre | cytosol | ✘ | |
| Rasi | inactive Ras | <assignment rule> <substance_units>/litre | cytosol | ✔ | |
| Rast | Ras total | 2.0 <substance_units>/litre | cytosol | ✘ | |
| Xa | active TF X | 0.1 <substance_units>/litre | cytosol | ✘ | |
| Xi | inactive TF X | <assignment rule> <substance_units>/litre | cytosol | ✔ | |
| Xt | X total | 2.0 <substance_units>/litre | cytosol | ✘ |
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 | |
|---|---|---|---|---|---|
| AK_dissoc | — | AK = A + K theta * cytosol * (d1 * AK - a1 * A * K) | |||
| A_degradation | — | A > ∅ theta * cytosol * vdAx * A / (KdAx + A) | |||
| A_translation | — | ∅ > A theta * cytosol * ksAx * MAx | |||
| BP_dephosphorylation | — | Bp > B theta * cytosol * VMP * Bp / (K2 + Bp) | |||
| B_degradation | — | B > ∅ theta * cytosol * kd1 * B | |||
| B_phosphorylation | — | B > Bp theta * cytosol * VMK * KID / (KID + D) * B / (K1 + B) * AK / Kt | |||
| B_shuttling | — | BN = B theta * cytosol * (kt4 * BN - kt3 * B) | |||
| B_synth | — | ∅ > B theta * cytosol * vsB | |||
| Bp_degradation | — | Bp > ∅ theta * cytosol * kd2 * Bp | |||
| Dusp_degradation | — | Dusp > ∅ eta * cytosol * vdDusp * Dusp / (KdDusp + Dusp) | |||
| Dusp_translation | — | ∅ > Dusp eta * cytosol * ksDusp * MDusp | |||
| Erk_activation | — | ∅ > ERKa eta * cytosol * VMaErk * Rasa / Rast * ERKi / (KaErk + ERKi) | |||
| Erk_inactivation | — | ERKa > ∅ eta * cytosol * kcDusp * Dusp * ERKa / (KdErk + ERKa) | |||
| F_degradation | — | F > ∅ epsilon * cytosol * vdF * F / (KdF + F) | |||
| F_translation | — | ∅ > F epsilon * cytosol * ksF * MF | |||
| MAx_degradation | — | MAx > ∅ theta * cytosol * vmd * MAx / (Kmd + MAx) | |||
| MAx_trans_BN | — | ∅ > MAx theta * cytosol * (vMB * pow(BN, n) / (pow(KaB, n) + pow(BN, n))) | |||
| MAx_trans_Xa | — | ∅ > MAx theta * cytosol * (vMXa * pow(Xa, m) / (pow(KaXa, m) + pow(Xa, m))) | |||
| MAx_trans_basal | — | ∅ > MAx theta * cytosol * v0 | |||
| MDusp_degradation | — | MDusp > ∅ eta * cytosol * VMdMDusp * MDusp / (KdMDusp + MDusp) | |||
| MDusp_transkription | — | ∅ > MDusp eta * cytosol * VMsMDusp * pow(Xa, q) / (pow(KaMDusp, q) + pow(Xa, q)) | |||
| MF_degradation | — | MF > ∅ epsilon * cytosol * vmF * MF / (KdMF + MF) | |||
| MF_transkription | — | ∅ > MF epsilon * cytosol * vsFK * pow(Nan, p) / (pow(KA, p) + pow(Nan, p)) | |||
| N_activation | Notch_activation | N > Na epsilon * cytosol * kc * N * pow(KIF, j) / (pow(KIF, j) + pow(F, j)) | |||
| N_degradation | N_degradation | N > ∅ epsilon * cytosol * vdN * N / (KdN + N) | |||
| Na_degradation | Na_degradation | Na > ∅ epsilon * cytosol * VdNa * Na / (KdNa + Na) | |||
| Na_transport | — | Na = Nan epsilon * cytosol * (kt1 * Na - kt2 * Nan) | |||
| Nan_degradation | — | Nan > ∅ epsilon * cytosol * VdNan * Nan / (KdNan + Nan) | |||
| Ras_activation | — | ∅ > Rasa eta * cytosol * VMaRas * pow(Fgf, r) / (pow(KaFgf, r) + pow(Fgf, r)) * Rasi / (KaRas + Rasi) | |||
| Ras_inactivation | — | Rasa > ∅ eta * cytosol * VMdRas * Rasa / (KdRas + Rasa) | |||
| X_activation | — | ∅ > Xa eta * cytosol * VMaX * ERKa / ERKt * Xi / (KaX + Xi) | |||
| X_inactivation | — | Xa > ∅ eta * cytosol * VMdX * Xa / (KdX + Xa) | |||
| n_synth | Notch_synthesis | ∅ > N cytosol * epsilon * vsN |
| Id | Value | |
|---|---|---|
| K1 | 0.28 nanomolar | |
| K2 | 0.03 nanomolar | |
| KA | 0.05 nanomolar | |
| KID | 0.5 nanomolar | |
| KIF | 0.5 nanomolar | |
| KIG1 | 2.5 nanomolar | |
| KaB | 0.7 nanomolar | |
| KaErk | 0.05 nanomolar | |
| KaFgf | 0.5 nanomolar | |
| KaMDusp | 0.5 nanomolar | |
| KaRas | 0.103 nanomolar | |
| KaX | 0.05 nanomolar | |
| KaXa | 0.05 nanomolar | |
| KdAx | 0.63 nanomolar | |
| KdDusp | 0.5 nanomolar | |
| KdErk | 0.05 nanomolar | |
| KdF | 0.37 nanomolar | |
| KdMDusp | 0.5 nanomolar | |
| KdMF | 0.768 nanomolar | |
| KdN | 1.4 nanomolar | |
| KdNa | 0.001 nanomolar | |
| KdNan | 0.001 nanomolar | |
| KdRas | 0.1 nanomolar | |
| KdX | 0.05 nanomolar | |
| Kmd | 0.48 nanomolar | |
| VMK | 5.08 flux | |
| VMP | 1.0 flux | |
| VMaErk | 3.3 flux | |
| VMaRas | 4.968 flux | |
| VMaX | 1.6 flux | |
| VMdMDusp | 0.5 flux | |
| VMdRas | 0.41 flux | |
| VMdX | 0.5 flux | |
| VMsMDusp | 0.9 flux | |
| VdNa | 0.01 flux | |
| VdNan | 0.1 flux | |
| a1 | 1.8 second_order_rate_constant | |
| d1 | 0.1 first_order_rate_constant | |
| epsilon | 0.3 dimensionless | |
| eta | 0.3 dimensionless | |
| j | 2.0 dimensionless | |
| kc | 3.45 first_order_rate_constant | |
| kcDusp | 1.35 first_order_rate_constant | |
| kd1 | 0.0 first_order_rate_constant | |
| kd2 | 7.062 first_order_rate_constant | |
| ksAx | 0.02 first_order_rate_constant | |
| ksDusp | 0.5 first_order_rate_constant | |
| ksF | 0.3 first_order_rate_constant | |
| kt1 | 0.1 first_order_rate_constant | |
| kt2 | 0.1 first_order_rate_constant | |
| kt3 | 0.7 first_order_rate_constant | |
| kt4 | 1.5 first_order_rate_constant | |
| m | 2.0 dimensionless | |
| n | 2.0 dimensionless | |
| p | 2.0 dimensionless | |
| q | 2.0 dimensionless | |
| r | 2.0 dimensionless | |
| theta | 1.5 dimensionless | |
| v0 | 0.06 flux | |
| vMB | 1.64 flux | |
| vMXa | 0.5 flux | |
| vdAx | 0.6 flux | |
| vdDusp | 2.0 flux | |
| vdF | 0.39 flux | |
| vdN | 2.82 flux | |
| vmF | 1.92 flux | |
| vmd | 0.8 flux | |
| vsB | 0.087 flux | |
| vsF | 3.0 flux | |
| vsFK | <assignment rule> flux | |
| vsN | 0.23 flux |
| Id | Value | Reaction |
|---|
| Definition | |
|---|---|
| Xi = Xt - Xa | |
| ERKi = ERKt - ERKa | |
| Rasi = Rast - Rasa | |
| AK = Kt - K | |
| vsFK = vsF * (KIG1 / (KIG1 + K)) |
| Definition |
|---|
| Definition |
|---|
| Definition |
|---|
| Trigger | Assignments |
|---|