leloup2
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000073) Biomodels notes: This model is according to the paper Toward a detailed computational model for the mammalian circadian clock . In this model only interlocked negative and positive regulation of Per, Cry, Bmal gene are involved. Some initial values were not provided, therefore they were chosen to fit the curve from the paper. 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 | |
|---|---|
| leloup2003_Fig2A |
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 | |
|---|---|---|
| — | 3600.0 second | |
| — | 1e-09 mole |
| Id | Name | Spatial dimensions | Size | |
|---|---|---|---|---|
| cell | cell | 3.0 | 1.0 |
| Id | Name | Initial quantity | Compartment | Fixed | |
|---|---|---|---|---|---|
| species_0 | Mb | 9.0 | cell (cell) | ✘ | |
| species_1 | Bc | 2.0 | cell (cell) | ✘ | |
| species_10 | PCc | 0.0 | cell (cell) | ✘ | |
| species_11 | PCcp | 0.0 | cell (cell) | ✘ | |
| species_12 | PCn | 1.0 | cell (cell) | ✘ | |
| species_13 | Bnp | 0.0 | cell (cell) | ✘ | |
| species_14 | PCnp | 0.0 | cell (cell) | ✘ | |
| species_15 | In | 0.0 | cell (cell) | ✘ | |
| species_2 | Bcp | 0.0 | cell (cell) | ✘ | |
| species_3 | Bn | 1.9 | cell (cell) | ✘ | |
| species_4 | Cc | 0.0 | cell (cell) | ✘ | |
| species_5 | Mc | 1.4 | cell (cell) | ✘ | |
| species_6 | Ccp | 0.0 | cell (cell) | ✘ | |
| species_7 | Mp | 1.6 | cell (cell) | ✘ | |
| species_8 | Pc | 0.0 | cell (cell) | ✘ | |
| species_9 | Pcp | 0.0 | cell (cell) | ✘ |
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 | |
|---|---|---|---|---|---|
| reaction_0 | Mb synthesized | ∅ > species_0 cell * function_0(vsb, K, m, species_3) | |||
| reaction_1 | Mb translated into protein | ∅ > species_1 cell * function_1(k, species_0) | |||
| reaction_10 | Mp translated into protein | ∅ > species_8 cell * function_1(k, species_7) | |||
| reaction_11 | Pcp specific degradation | species_9 > ∅ cell * function_2(V, species_9, Km) | |||
| reaction_12 | Pc phosphorylation | species_8 > species_9 cell * function_2(V, species_8, Km) | |||
| reaction_13 | Cc and Pc produce complex Per_Cry | species_4 + species_8 = species_10 cell * (k1 * species_4 * species_8 - k2 * species_10) | |||
| reaction_14 | PCc phosphorylation | species_10 > species_11 cell * function_2(V, species_10, Km) | |||
| reaction_15 | PCcp specific degradation | species_11 > ∅ cell * function_2(V, species_11, Km) | |||
| reaction_16 | PCc transfered into nuclear | species_10 = species_12 cell * (k1 * species_10 - k2 * species_12) | |||
| reaction_17 | PCnp nonspecific degradation | species_14 > ∅ cell * k1 * species_14 | |||
| reaction_18 | Bcp nonspecific degradation | species_2 > ∅ cell * k1 * species_2 | |||
| reaction_19 | Bnp nonspecific degradation | species_13 > ∅ cell * k1 * species_13 | |||
| reaction_2 | Mb nonspecific degradation | species_0 > ∅ cell * k1 * species_0 | |||
| reaction_20 | Mc synthesis | ∅ > species_5 cell * function_3(Vs, species_3, n, K) | |||
| reaction_21 | PCn phosphorylation | species_12 > species_14 cell * function_2(V, species_12, Km) | |||
| reaction_22 | Mp nonspecific degradation | species_7 > ∅ cell * k1 * species_7 | |||
| reaction_23 | Per_Cry and Clock_Bmal form inactive complex | species_12 + species_3 = species_15 cell * (k1 * species_12 * species_3 - k2 * species_15) | |||
| reaction_24 | Mb specific degradation | species_0 > ∅ cell * function_2(V, species_0, Km) | |||
| reaction_25 | Mc specific degradation | species_5 > ∅ cell * function_2(V, species_5, Km) | |||
| reaction_26 | Mp specific degradation | species_7 > ∅ cell * function_2(V, species_7, Km) | |||
| reaction_27 | Pc nonspecific degradation | species_8 > ∅ cell * k1 * species_8 | |||
| reaction_28 | Cc nonspecific degradation | species_4 > ∅ cell * k1 * species_4 | |||
| reaction_29 | Pcp nonspecific degradation | species_9 > ∅ cell * k1 * species_9 | |||
| reaction_3 | Bc phosphorylation | species_1 > species_2 cell * function_2(V, species_1, Km) | |||
| reaction_30 | Ccp nonspecific degradation | species_6 > ∅ cell * k1 * species_6 | |||
| reaction_31 | PCcp nonspecific degradation | species_11 > ∅ cell * k1 * species_11 | |||
| reaction_32 | PCc nonspecific degradation | species_10 > ∅ cell * k1 * species_10 | |||
| reaction_33 | PCnp specific degradation | species_14 > ∅ cell * function_2(V, species_14, Km) | |||
| reaction_34 | Bc nonspecific degradation | species_1 > ∅ cell * k1 * species_1 | |||
| reaction_35 | Bcp specific degradation | species_2 > ∅ cell * function_2(V, species_2, Km) | |||
| reaction_36 | Bn phosphorylation | species_3 > species_13 cell * function_2(V, species_3, Km) | |||
| reaction_37 | Bnp specific degradation | species_13 > ∅ cell * function_2(V, species_13, Km) | |||
| reaction_38 | In nonspecific degration | species_15 > ∅ cell * k1 * species_15 | |||
| reaction_39 | In specific degradation | species_15 > ∅ cell * function_2(V, species_15, Km) | |||
| reaction_4 | Bc transfered from cytosolic to nuclear | species_1 = species_3 cell * (k1 * species_1 - k2 * species_3) | |||
| reaction_40 | Bn nonspecific degradation | species_3 > ∅ cell * k1 * species_3 | |||
| reaction_41 | Bcp dephosphorylation | species_2 > species_1 cell * function_2(V, species_2, Km) | |||
| reaction_42 | Bnp dephosphorylation | species_13 > species_3 cell * function_2(V, species_13, Km) | |||
| reaction_43 | Ccp dephosphorylation | species_6 > species_4 cell * function_2(V, species_6, Km) | |||
| reaction_44 | Pcp dephosphorylation | species_9 > species_8 cell * function_2(V, species_9, Km) | |||
| reaction_45 | PCnp dephosphorylation | species_14 > species_12 cell * function_2(V, species_14, Km) | |||
| reaction_46 | PCn nonspecific degradation | species_12 > ∅ cell * k1 * species_12 | |||
| reaction_47 | PCcp dephosphorylation | species_11 > species_10 cell * function_2(V, species_11, Km) | |||
| reaction_5 | Mc translated into protein | ∅ > species_4 cell * function_1(k, species_5) | |||
| reaction_6 | Mc nonspecific degradation | species_5 > ∅ cell * k1 * species_5 | |||
| reaction_7 | Cc phosphorylation | species_4 > species_6 cell * function_2(V, species_4, Km) | |||
| reaction_8 | Ccp specific degradation | species_6 > ∅ cell * function_2(V, species_6, Km) | |||
| reaction_9 | Mp synthesis | ∅ > species_7 cell * function_3(Vs, species_3, n, K) |
| Id | Value |
|---|
| Id | Value | Reaction | |
|---|---|---|---|
| vsb | 1.0 | reaction_0 (Mb synthesized) | |
| K | 2.2 | reaction_0 (Mb synthesized) | |
| m | 2.0 | reaction_0 (Mb synthesized) | |
| k | 0.12 | reaction_1 (Mb translated into protein) | |
| k1 | 0.01 | reaction_2 (Mb nonspecific degradation) | |
| V | 0.5 | reaction_3 (Bc phosphorylation) | |
| Km | 0.1 | reaction_3 (Bc phosphorylation) | |
| k1 | 0.4 | reaction_4 (Bc transfered from cytosolic to nuclear) | |
| k2 | 0.2 | reaction_4 (Bc transfered from cytosolic to nuclear) | |
| k | 1.6 | reaction_5 (Mc translated into protein) | |
| k1 | 0.01 | reaction_6 (Mc nonspecific degradation) | |
| V | 0.6 | reaction_7 (Cc phosphorylation) | |
| Km | 0.1 | reaction_7 (Cc phosphorylation) | |
| V | 0.7 | reaction_8 (Ccp specific degradation) | |
| Km | 0.3 | reaction_8 (Ccp specific degradation) | |
| Vs | 1.5 | reaction_9 (Mp synthesis) | |
| n | 4.0 | reaction_9 (Mp synthesis) | |
| K | 0.7 | reaction_9 (Mp synthesis) | |
| k | 0.6 | reaction_10 (Mp translated into protein) | |
| V | 0.7 | reaction_11 (Pcp specific degradation) | |
| Km | 0.3 | reaction_11 (Pcp specific degradation) | |
| V | 0.4 | reaction_12 (Pc phosphorylation) | |
| Km | 0.1 | reaction_12 (Pc phosphorylation) | |
| k1 | 0.4 | reaction_13 (Cc and Pc produce complex Per_Cry) | |
| k2 | 0.2 | reaction_13 (Cc and Pc produce complex Per_Cry) | |
| V | 0.4 | reaction_14 (PCc phosphorylation) | |
| Km | 0.1 | reaction_14 (PCc phosphorylation) | |
| V | 0.7 | reaction_15 (PCcp specific degradation) | |
| Km | 0.3 | reaction_15 (PCcp specific degradation) | |
| k1 | 0.4 | reaction_16 (PCc transfered into nuclear) | |
| k2 | 0.2 | reaction_16 (PCc transfered into nuclear) | |
| k1 | 0.01 | reaction_17 (PCnp nonspecific degradation) | |
| k1 | 0.01 | reaction_18 (Bcp nonspecific degradation) | |
| k1 | 0.01 | reaction_19 (Bnp nonspecific degradation) | |
| Vs | 1.1 | reaction_20 (Mc synthesis) | |
| n | 4.0 | reaction_20 (Mc synthesis) | |
| K | 0.6 | reaction_20 (Mc synthesis) | |
| V | 0.4 | reaction_21 (PCn phosphorylation) | |
| Km | 0.1 | reaction_21 (PCn phosphorylation) | |
| k1 | 0.01 | reaction_22 (Mp nonspecific degradation) | |
| k1 | 0.5 | reaction_23 (Per_Cry and Clock_Bmal form inactive complex) | |
| k2 | 0.1 | reaction_23 (Per_Cry and Clock_Bmal form inactive complex) | |
| V | 0.8 | reaction_24 (Mb specific degradation) | |
| Km | 0.4 | reaction_24 (Mb specific degradation) | |
| V | 1.0 | reaction_25 (Mc specific degradation) | |
| Km | 0.4 | reaction_25 (Mc specific degradation) | |
| V | 1.1 | reaction_26 (Mp specific degradation) | |
| Km | 0.31 | reaction_26 (Mp specific degradation) | |
| k1 | 0.01 | reaction_27 (Pc nonspecific degradation) | |
| k1 | 0.12 | reaction_28 (Cc nonspecific degradation) | |
| k1 | 0.01 | reaction_29 (Pcp nonspecific degradation) | |
| k1 | 0.01 | reaction_30 (Ccp nonspecific degradation) | |
| k1 | 0.01 | reaction_31 (PCcp nonspecific degradation) | |
| k1 | 0.01 | reaction_32 (PCc nonspecific degradation) | |
| Km | 0.3 | reaction_35 (Bcp specific degradation) | |
| V | 0.7 | reaction_33 (PCnp specific degradation) | |
| Km | 0.3 | reaction_33 (PCnp specific degradation) | |
| k1 | 0.01 | reaction_34 (Bc nonspecific degradation) | |
| V | 0.5 | reaction_35 (Bcp specific degradation) | |
| V | 0.5 | reaction_36 (Bn phosphorylation) | |
| Km | 0.1 | reaction_36 (Bn phosphorylation) | |
| V | 0.6 | reaction_37 (Bnp specific degradation) | |
| Km | 0.3 | reaction_37 (Bnp specific degradation) | |
| k1 | 0.01 | reaction_38 (In nonspecific degration) | |
| V | 0.8 | reaction_39 (In specific degradation) | |
| Km | 0.3 | reaction_39 (In specific degradation) | |
| k1 | 0.01 | reaction_40 (Bn nonspecific degradation) | |
| V | 0.1 | reaction_41 (Bcp dephosphorylation) | |
| Km | 0.1 | reaction_41 (Bcp dephosphorylation) | |
| V | 0.2 | reaction_42 (Bnp dephosphorylation) | |
| Km | 0.1 | reaction_42 (Bnp dephosphorylation) | |
| V | 0.1 | reaction_43 (Ccp dephosphorylation) | |
| Km | 0.1 | reaction_43 (Ccp dephosphorylation) | |
| V | 0.3 | reaction_44 (Pcp dephosphorylation) | |
| Km | 0.1 | reaction_44 (Pcp dephosphorylation) | |
| V | 0.1 | reaction_45 (PCnp dephosphorylation) | |
| Km | 0.1 | reaction_45 (PCnp dephosphorylation) | |
| k1 | 0.01 | reaction_46 (PCn nonspecific degradation) | |
| V | 0.1 | reaction_47 (PCcp dephosphorylation) | |
| Km | 0.1 | reaction_47 (PCcp dephosphorylation) |
| Definition |
|---|
| Definition |
|---|
| Definition |
|---|
| Definition | |
|---|---|
| function_0(vsb, K, m, Bn) = vsb * pow(K, m) / (pow(K, m) + pow(Bn, m)) | |
| function_1(k, mRNA) = k * mRNA | |
| function_2(V, substrate, Km) = V * substrate / (Km + substrate) | |
| function_3(Vs, B, n, K) = Vs * pow(B, n) / (pow(K, n) + pow(B, n)) |
| Trigger | Assignments |
|---|