leloup3
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000074) This is model in continous darkness (DD) described in the article Toward a detailed computational model for the mammalian circadian clock This model features the full interlocked negative and positive regulation of Per,Cry,Bmal and REV-ERBalpha. The model exhibits robust oscillations quite independent of the initial conditions for teh parameters given. Each species is assigned zero as initial value, and the graph started at time=120h. Simulation results could be reproduced using Copasi 4.0.19(development) and roadRunner online. 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_Fig8A |
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 | |
|---|---|---|---|---|
| compartment_0 | cell | 3.0 | 1.0 |
| Id | Name | Initial quantity | Compartment | Fixed | |
|---|---|---|---|---|---|
| species_0 | Mb | 0.0 | compartment_0 (cell) | ✘ | |
| species_1 | Bc | 0.0 | compartment_0 (cell) | ✘ | |
| species_10 | PCc | 0.0 | compartment_0 (cell) | ✘ | |
| species_11 | PCcp | 0.0 | compartment_0 (cell) | ✘ | |
| species_12 | PCn | 0.0 | compartment_0 (cell) | ✘ | |
| species_13 | Bnp | 0.0 | compartment_0 (cell) | ✘ | |
| species_14 | PCnp | 0.0 | compartment_0 (cell) | ✘ | |
| species_15 | In | 0.0 | compartment_0 (cell) | ✘ | |
| species_16 | Mr | 0.0 | compartment_0 (cell) | ✘ | |
| species_17 | Rc | 0.0 | compartment_0 (cell) | ✘ | |
| species_18 | Rn | 0.0 | compartment_0 (cell) | ✘ | |
| species_2 | Bcp | 0.0 | compartment_0 (cell) | ✘ | |
| species_3 | Bn | 0.0 | compartment_0 (cell) | ✘ | |
| species_4 | Cc | 0.0 | compartment_0 (cell) | ✘ | |
| species_5 | Mc | 0.0 | compartment_0 (cell) | ✘ | |
| species_6 | Ccp | 0.0 | compartment_0 (cell) | ✘ | |
| species_7 | Mp | 0.0 | compartment_0 (cell) | ✘ | |
| species_8 | Pc | 0.0 | compartment_0 (cell) | ✘ | |
| species_9 | Pcp | 0.0 | compartment_0 (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 compartment_0 * function_0(vsb, K, m, species_18) | |||
| reaction_1 | Mb translated into protein | ∅ > species_1 compartment_0 * function_1(k, species_0) | |||
| reaction_10 | Mp translated into protein | ∅ > species_8 compartment_0 * function_1(k, species_7) | |||
| reaction_11 | Pcp specific degradation | species_9 > ∅ compartment_0 * function_2(V, species_9, Km) | |||
| reaction_12 | Pc phospholation | species_8 > species_9 compartment_0 * function_2(V, species_8, Km) | |||
| reaction_13 | Cc and Pc produce PCc | species_4 + species_8 = species_10 compartment_0 * (k1 * species_4 * species_8 - k2 * species_10) | |||
| reaction_14 | PCc phospholation | species_10 > species_11 compartment_0 * function_2(V, species_10, Km) | |||
| reaction_15 | PCcp specific degradation | species_11 > ∅ compartment_0 * function_2(V, species_11, Km) | |||
| reaction_16 | PCc transfered into nuclear | species_10 = species_12 compartment_0 * (k1 * species_10 - k2 * species_12) | |||
| reaction_17 | PCnp nonspecific degradation | species_14 > ∅ compartment_0 * k1 * species_14 | |||
| reaction_18 | Bcp nonspecific degradation | species_2 > ∅ compartment_0 * k1 * species_2 | |||
| reaction_19 | Bnp nonspecific degradation | species_13 > ∅ compartment_0 * k1 * species_13 | |||
| reaction_2 | Mb nonspecific degradation | species_0 > ∅ compartment_0 * k1 * species_0 | |||
| reaction_20 | Mc synthesis | ∅ > species_5 compartment_0 * function_3(Vs, species_3, n, K) | |||
| reaction_21 | PCn phospholation | species_12 > species_14 compartment_0 * function_2(V, species_12, Km) | |||
| reaction_22 | Mp nonspecific degradation | species_7 > ∅ compartment_0 * k1 * species_7 | |||
| reaction_23 | Per_Cry and Clock_Bmal form inactive complex | species_12 + species_3 = species_15 compartment_0 * (k1 * species_12 * species_3 - k2 * species_15) | |||
| reaction_24 | Mb specific degradation | species_0 > ∅ compartment_0 * function_2(V, species_0, Km) | |||
| reaction_25 | Mc specific degradation | species_5 > ∅ compartment_0 * function_2(V, species_5, Km) | |||
| reaction_26 | Mp specific degradation | species_7 > ∅ compartment_0 * function_2(V, species_7, Km) | |||
| reaction_27 | Pc nonspecific degradation | species_8 > ∅ compartment_0 * k1 * species_8 | |||
| reaction_28 | Cc nonspecific degradation | species_4 > ∅ compartment_0 * k1 * species_4 | |||
| reaction_29 | Pcp nonspecific degradation | species_9 > ∅ compartment_0 * k1 * species_9 | |||
| reaction_3 | Bc phosphorylation | species_1 > species_2 compartment_0 * function_2(V, species_1, Km) | |||
| reaction_30 | Ccp nonspecific degradation | species_6 > ∅ compartment_0 * k1 * species_6 | |||
| reaction_31 | PCcp nonspecific degradation | species_11 > ∅ compartment_0 * k1 * species_11 | |||
| reaction_32 | PCc nonspecific degradation | species_10 > ∅ compartment_0 * k1 * species_10 | |||
| reaction_33 | PCnp specific degradation | species_14 > ∅ compartment_0 * function_2(V, species_14, Km) | |||
| reaction_34 | Bc nonspecific degradation | species_1 > ∅ compartment_0 * k1 * species_1 | |||
| reaction_35 | Bcp specific degradation | species_2 > ∅ compartment_0 * function_2(V, species_2, Km) | |||
| reaction_36 | Bn phospholation | species_3 > species_13 compartment_0 * function_2(V, species_3, Km) | |||
| reaction_37 | Bnp specific degradation | species_13 > ∅ compartment_0 * function_2(V, species_13, Km) | |||
| reaction_38 | In nonspecific degration | species_15 > ∅ compartment_0 * k1 * species_15 | |||
| reaction_39 | In specific degradation | species_15 > ∅ compartment_0 * function_2(V, species_15, Km) | |||
| reaction_4 | Bc transfered from cytosolic to nuclear | species_1 = species_3 compartment_0 * (k1 * species_1 - k2 * species_3) | |||
| reaction_40 | Bn nonspecific degradation | species_3 > ∅ compartment_0 * k1 * species_3 | |||
| reaction_41 | Bcp dephospholation | species_2 > species_1 compartment_0 * function_2(V, species_2, Km) | |||
| reaction_42 | Bnp dephospholation | species_13 > species_3 compartment_0 * function_2(V, species_13, Km) | |||
| reaction_43 | Ccp dephospholation | species_6 > species_4 compartment_0 * function_2(V, species_6, Km) | |||
| reaction_44 | Pcp dephospholation | species_9 > species_8 compartment_0 * function_2(V, species_9, Km) | |||
| reaction_45 | PCnp dephospholation | species_14 > species_12 compartment_0 * function_2(V, species_14, Km) | |||
| reaction_46 | PCn nonspecific degradation | species_12 > ∅ compartment_0 * k1 * species_12 | |||
| reaction_47 | PCcp dephospholation | species_11 > species_10 compartment_0 * function_2(V, species_11, Km) | |||
| reaction_48 | Mr synthesized | ∅ > species_16 compartment_0 * function_3(Vs, species_3, n, K) | |||
| reaction_49 | Mr nonspecific degradation | species_16 > ∅ compartment_0 * k1 * species_16 | |||
| reaction_5 | Mc translated into protein | ∅ > species_4 compartment_0 * function_1(k, species_5) | |||
| reaction_50 | Mr specific degradation | species_16 > ∅ compartment_0 * function_2(V, species_16, Km) | |||
| reaction_51 | Mr translated into protein | ∅ > species_17 compartment_0 * function_1(k, species_16) | |||
| reaction_52 | Rc transfered into nuclear | species_17 = species_18 compartment_0 * (k1 * species_17 - k2 * species_18) | |||
| reaction_53 | Rc specific degradation | species_17 > ∅ compartment_0 * function_2(V, species_17, Km) | |||
| reaction_54 | Rc nonspecific degradation | species_17 > ∅ compartment_0 * k1 * species_17 | |||
| reaction_55 | Rn specific degradation | species_18 > ∅ compartment_0 * function_2(V, species_18, Km) | |||
| reaction_56 | Rn nonspecific degradation | species_18 > ∅ compartment_0 * k1 * species_18 | |||
| reaction_6 | Mc nonspecific degradation | species_5 > ∅ compartment_0 * k1 * species_5 | |||
| reaction_7 | Cc phosphorylation | species_4 > species_6 compartment_0 * function_2(V, species_4, Km) | |||
| reaction_8 | Ccp specific degradation | species_6 > ∅ compartment_0 * function_2(V, species_6, Km) | |||
| reaction_9 | Mp synthesis | ∅ > species_7 compartment_0 * function_3(Vs, species_3, n, K) |
| Id | Value |
|---|
| Id | Value | Reaction | |
|---|---|---|---|
| k1 | 0.02 | reaction_49 (Mr nonspecific degradation) | |
| Km | 0.4 | reaction_24 (Mb specific degradation) | |
| V | 1.6 | reaction_50 (Mr specific degradation) | |
| Km | 0.4 | reaction_50 (Mr specific degradation) | |
| k | 1.7 | reaction_51 (Mr translated into protein) | |
| k1 | 0.8 | reaction_52 (Rc transfered into nuclear) | |
| k2 | 0.4 | reaction_52 (Rc transfered into nuclear) | |
| vsb | 1.8 | reaction_0 (Mb synthesized) | |
| K | 1.0 | reaction_0 (Mb synthesized) | |
| V | 4.4 | reaction_53 (Rc specific degradation) | |
| m | 2.0 | reaction_0 (Mb synthesized) | |
| k | 0.32 | reaction_1 (Mb translated into protein) | |
| k1 | 0.02 | reaction_2 (Mb nonspecific degradation) | |
| V | 1.4 | reaction_3 (Bc phosphorylation) | |
| Km | 1.006 | reaction_3 (Bc phosphorylation) | |
| k1 | 0.8 | reaction_4 (Bc transfered from cytosolic to nuclear) | |
| k2 | 0.4 | reaction_4 (Bc transfered from cytosolic to nuclear) | |
| k | 3.2 | reaction_5 (Mc translated into protein) | |
| k1 | 0.02 | reaction_6 (Mc nonspecific degradation) | |
| Km | 0.3 | reaction_53 (Rc specific degradation) | |
| V | 1.2 | reaction_7 (Cc phosphorylation) | |
| k1 | 0.02 | reaction_54 (Rc nonspecific degradation) | |
| V | 0.8 | reaction_55 (Rn specific degradation) | |
| Km | 1.006 | reaction_7 (Cc phosphorylation) | |
| V | 1.4 | reaction_8 (Ccp specific degradation) | |
| Km | 0.3 | reaction_8 (Ccp specific degradation) | |
| Km | 0.3 | reaction_55 (Rn specific degradation) | |
| Vs | 2.4 | reaction_9 (Mp synthesis) | |
| n | 2.0 | reaction_9 (Mp synthesis) | |
| K | 0.6 | reaction_9 (Mp synthesis) | |
| k | 1.2 | reaction_10 (Mp translated into protein) | |
| V | 3.4 | reaction_11 (Pcp specific degradation) | |
| Km | 0.3 | reaction_11 (Pcp specific degradation) | |
| k1 | 0.02 | reaction_56 (Rn nonspecific degradation) | |
| V | 9.6 | reaction_12 (Pc phospholation) | |
| Km | 1.006 | reaction_12 (Pc phospholation) | |
| k1 | 0.8 | reaction_13 (Cc and Pc produce PCc) | |
| k2 | 0.4 | reaction_13 (Cc and Pc produce PCc) | |
| V | 2.4 | reaction_14 (PCc phospholation) | |
| Km | 1.006 | reaction_14 (PCc phospholation) | |
| V | 1.4 | reaction_15 (PCcp specific degradation) | |
| Km | 0.3 | reaction_15 (PCcp specific degradation) | |
| k1 | 0.8 | reaction_16 (PCc transfered into nuclear) | |
| k2 | 0.4 | reaction_16 (PCc transfered into nuclear) | |
| k1 | 0.02 | reaction_17 (PCnp nonspecific degradation) | |
| k1 | 0.02 | reaction_18 (Bcp nonspecific degradation) | |
| k1 | 0.02 | reaction_19 (Bnp nonspecific degradation) | |
| Vs | 2.2 | reaction_20 (Mc synthesis) | |
| n | 2.0 | reaction_20 (Mc synthesis) | |
| K | 0.6 | reaction_20 (Mc synthesis) | |
| V | 2.4 | reaction_21 (PCn phospholation) | |
| Km | 1.006 | reaction_21 (PCn phospholation) | |
| k1 | 0.02 | reaction_22 (Mp nonspecific degradation) | |
| k1 | 1.0 | reaction_23 (Per_Cry and Clock_Bmal form inactive complex) | |
| k2 | 0.2 | reaction_23 (Per_Cry and Clock_Bmal form inactive complex) | |
| V | 1.3 | reaction_24 (Mb specific degradation) | |
| V | 2.0 | reaction_25 (Mc specific degradation) | |
| Km | 0.4 | reaction_25 (Mc specific degradation) | |
| V | 2.2 | reaction_26 (Mp specific degradation) | |
| Km | 0.3 | reaction_26 (Mp specific degradation) | |
| k1 | 0.02 | reaction_27 (Pc nonspecific degradation) | |
| k1 | 0.02 | reaction_28 (Cc nonspecific degradation) | |
| k1 | 0.02 | reaction_29 (Pcp nonspecific degradation) | |
| k1 | 0.02 | reaction_30 (Ccp nonspecific degradation) | |
| k1 | 0.02 | reaction_31 (PCcp nonspecific degradation) | |
| k1 | 0.02 | reaction_32 (PCc nonspecific degradation) | |
| V | 1.4 | reaction_33 (PCnp specific degradation) | |
| Km | 0.3 | reaction_33 (PCnp specific degradation) | |
| k1 | 0.02 | reaction_34 (Bc nonspecific degradation) | |
| V | 3.0 | reaction_35 (Bcp specific degradation) | |
| Km | 0.3 | reaction_35 (Bcp specific degradation) | |
| V | 1.4 | reaction_36 (Bn phospholation) | |
| Km | 1.006 | reaction_36 (Bn phospholation) | |
| V | 3.0 | reaction_37 (Bnp specific degradation) | |
| Km | 0.3 | reaction_37 (Bnp specific degradation) | |
| k1 | 0.02 | reaction_38 (In nonspecific degration) | |
| V | 1.6 | reaction_39 (In specific degradation) | |
| Km | 0.3 | reaction_39 (In specific degradation) | |
| k1 | 0.02 | reaction_40 (Bn nonspecific degradation) | |
| V | 0.2 | reaction_41 (Bcp dephospholation) | |
| Km | 0.1 | reaction_41 (Bcp dephospholation) | |
| V | 0.4 | reaction_42 (Bnp dephospholation) | |
| Km | 0.1 | reaction_42 (Bnp dephospholation) | |
| V | 0.2 | reaction_43 (Ccp dephospholation) | |
| Km | 0.1 | reaction_43 (Ccp dephospholation) | |
| V | 0.6 | reaction_44 (Pcp dephospholation) | |
| Km | 0.1 | reaction_44 (Pcp dephospholation) | |
| V | 0.2 | reaction_45 (PCnp dephospholation) | |
| Km | 0.1 | reaction_45 (PCnp dephospholation) | |
| k1 | 0.02 | reaction_46 (PCn nonspecific degradation) | |
| V | 0.2 | reaction_47 (PCcp dephospholation) | |
| Km | 0.1 | reaction_47 (PCcp dephospholation) | |
| Vs | 1.6 | reaction_48 (Mr synthesized) | |
| n | 2.0 | reaction_48 (Mr synthesized) | |
| K | 0.6 | reaction_48 (Mr synthesized) |
| 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 |
|---|