middleton1
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000422) Biomodels notes: This model corresponds to the full model that is described in the reference publication. The model parameter corresponds to wild-type and reproduces Figure 4C wild-type with R=1. The simulation runs for 500 time units (minutes) to allow the system to approach its steady state, then adds exogenous hormone for 120 time units, before removing the exogenous hormone until a total time of 800. So, the total run time is 800 minutes, having exogenous hormone between time points 500 and 620 (120 mins). In the paper, time is shifted so that t=0 corresponds to the addition of hormone, i.e. 500mins. The plot here show the time-course simulation between 500 mins(t=0 in the paper) and 800 mins (t=300 in the paper). The y-axis scale in the paper is in nM, whereas in the model it is in ?M. The plot date were obtained by simulating the model using Copasi v4.8 (Build 35). The plot was generated using Gnuplot. 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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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 | |
|---|---|---|
| — | 1.0 mole | |
| — | 1.0 litre | |
| — | 1.0 metre^(2.0) | |
| — | 1.0 metre | |
| — | 1.0 second |
| Id | Name | Spatial dimensions | Size | |
|---|---|---|---|---|
| default | — | 3.0 | 1.0 volume |
| Id | Name | Initial quantity | Compartment | Fixed | |
|---|---|---|---|---|---|
| s1 | GA4 | 0.01 | default | ✘ | |
| s11 | ga20ox_source | 0.0 | default | ✔ | |
| s15 | gid_source | 0.0 | default | ✔ | |
| s16 | DELLA | 0.01 | default | ✘ | |
| s2 | GID | 0.01 | default | ✘ | |
| s22 | DELLA_U | 0.01 | default | ✘ | |
| s23 | GA12 | 0.01 | default | ✘ | |
| s24 | GA15 | 0.01 | default | ✘ | |
| s25 | GA24 | 0.01 | default | ✘ | |
| s26 | GA9 | 0.01 | default | ✘ | |
| s27 | GA20ox | 0.01 | default | ✘ | |
| s28 | GA3ox | 0.01 | default | ✘ | |
| s29 | GA9-GA3ox | 0.01 | default | ✘ | |
| s3 | GA12_source | 0.0 | default | ✔ | |
| s30 | GA24-GA20ox | 0.01 | default | ✘ | |
| s31 | GA15-GA20ox | 0.01 | default | ✘ | |
| s32 | GA12-GA20ox | 0.01 | default | ✘ | |
| s33 | GID_source | 0.0 | default | ✔ | |
| s34 | della_source | 0.0 | default | ✔ | |
| s35 | ga3ox_source | 0.0 | default | ✔ | |
| s36 | GA4-GID-DELLA2 | 0.01 | default | ✘ | |
| s39 | ga20ox | 0.01 | default | ✘ | |
| s40 | della | 0.01 | default | ✘ | |
| s41 | ga3ox | 0.01 | default | ✘ | |
| s42 | gid | 0.01 | default | ✘ | |
| s45 | GA4-GID-DELLA1 | 0.01 | default | ✘ | |
| s5 | GA3ox_source | 0.0 | default | ✔ | |
| s6 | GA20ox_source | 0.0 | default | ✔ | |
| s62 | GA4-GID-closed | 0.01 | default | ✘ | |
| s65 | GA4-GID | 0.01 | default | ✘ | |
| s66 | GA4_source | 0.0 | default | ✔ | |
| s67 | sa5_degraded | 0.0 | default | ✔ | |
| s68 | sa6_degraded | 0.0 | default | ✔ | |
| s69 | sa7_degraded | 0.0 | default | ✔ | |
| s7 | DELLA_source | 0.0 | default | ✔ | |
| s70 | sa8_degraded | 0.0 | default | ✔ | |
| s71 | sa1_degraded | 0.0 | default | ✔ |
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 | |
|---|---|---|---|---|---|
| re1 | GA4-GID association | s1 + s2 > s65 la * s1 * s2 | |||
| re10 | GA15-GA20ox association | s24 + s27 > s31 ka15 * s24 * s27 | |||
| re11 | GA15.GA20ox dissociation | s31 > s24 + s27 kd15 * s31 | |||
| re12 | GA24 production | s31 > s27 + s25 km15 * s31 | |||
| re13 | GA24-GA20ox association | s25 + s27 > s30 ka24 * s25 * s27 | |||
| re14 | GA24.GA20ox dissociation | s30 > s25 + s27 kd24 * s30 | |||
| re15 | GA9 production | s30 > s27 + s26 km24 * s30 | |||
| re16 | GA9-GA3ox association | s26 + s28 > s29 ka9 * s26 * s28 | |||
| re17 | GA9.GA3ox dissociation | s29 > s26 + s28 kd9 * s29 | |||
| re18 | GA4 production | s29 > s28 + s1 km9 * s29 | |||
| re19 | GA4.GID lid closing | s65 > s62 q * s65 | |||
| re2 | GA4.GID dissociation | s65 > s2 + s1 ld * s65 | |||
| re20 | GA4.GID-Closed lid opening | s62 > s65 p * s62 | |||
| re21 | della translation | s7 > s16 deltaDELLA * s40 | |||
| re22 | ga20ox translation | s6 > s27 deltaGA20ox * s39 | |||
| re23 | ga3ox translation | s5 > s28 deltaGA3ox * s41 | |||
| re24 | gid translation | s33 > s2 deltaGID * s42 | |||
| re27 | ga20ox transcription (activated by DELLA) | s11 > s39 muGA20ox * s16 / (s16 + thetaGA20ox) | |||
| re28 | gid transcription (activated by DELLA) | s15 > s42 muGID * s16 / (s16 + thetaGID) | |||
| re29 | della transcription (repressed by DELLA) | s34 > s40 muDELLA * thetaDELLA / (s16 + thetaDELLA) | |||
| re3 | GA4.GID-DELLA1 association | s62 + s16 > s45 ua1 * s62 * s16 | |||
| re30 | ga3ox transcription (activated by DELLA) | s35 > s41 muGA3ox * s16 / (s16 + thetaGA3ox) | |||
| re31 | della decay | s40 > s34 muDELLA * s40 | |||
| re32 | gid decay | s42 > s15 muGID * s42 | |||
| re33 | ga20ox decay | s39 > s11 muGA20ox * s39 | |||
| re34 | ga3ox decay | s41 > s35 muGA3ox * s41 | |||
| re35 | GA20ox decay | s27 > s6 gammaGA20ox * s27 | |||
| re37 | GID decay | s2 > s33 gammaGID * s2 | |||
| re38 | GA3ox decay | s28 > s5 gammaGA3ox * s28 | |||
| re39 | GA4.GID-DELLA2 association | s62 + s16 > s36 ua2 * s62 * s16 | |||
| re4 | GA4.GID.DELLA1 dissociation | s45 > s62 + s16 ud1 * s45 | |||
| re40 | GA4.GID.DELLA2 dissociation | s36 > s62 + s16 ud2 * s36 | |||
| re41 | GA4 supply | s66 > s1 Pmem * A1 * omegaGA4 | |||
| re42 | degradation of GA12 | s23 > s67 muGA * s23 | |||
| re43 | degradation of GA15 | s24 > s68 muGA * s24 | |||
| re44 | degradation of GA24 | s25 > s69 muGA * s25 | |||
| re45 | degradation of GA9 | s26 > s70 muGA * s26 | |||
| re46 | degradation of GA4 | s1 > s71 (muGA + Pmem * B1) * s1 | |||
| re5 | DELLA ubiquitination | s45 > s62 + s22 um * s45 | |||
| re6 | GA12 supply | s3 > s23 omegaGA12 | |||
| re7 | GA12-GA20ox association | s23 + s27 > s32 ka12 * s23 * s27 | |||
| re8 | GA12.GA20ox dissociation | s32 > s23 + s27 kd12 * s32 | |||
| re9 | GA15 production | s32 > s27 + s24 km12 * s32 |
| Id | Value | |
|---|---|---|
| Pmem | 2.66664 substance | |
| R | 1.0 substance | |
| appliedGA4 | 2.0 substance | |
| muDELLA | 0.070794578438414 substance | |
| muGA | 0.290804218727464 substance | |
| muGA20ox | 0.047770755070625 substance | |
| muGA3ox | 0.102600014140148 substance | |
| muGID | 0.045708818961487 substance | |
| omegaGA12 | <assignment rule> substance | |
| omegaGA12ga13 | 0.006602803853512 substance | |
| omegaGA4 | 0.0 substance | |
| tGA4off | 620.0 substance | |
| tGA4on | 500.0 substance |
| Id | Value | Reaction | |
|---|---|---|---|
| la | 1.35 substance | re1 (GA4-GID association) | |
| ld | 2.84315148627376 substance | re2 (GA4.GID dissociation) | |
| ua1 | 10.0 substance | re3 (GA4.GID-DELLA1 association) | |
| ud1 | 0.133045441797809 substance | re4 (GA4.GID.DELLA1 dissociation) | |
| um | 6.92208879449283 substance | re5 (DELLA ubiquitination) | |
| ka12 | 2904.11853677638 substance | re7 (GA12-GA20ox association) | |
| kd12 | 2.67298621993027 substance | re8 (GA12.GA20ox dissociation) | |
| km12 | 198.80427707769 substance | re9 (GA15 production) | |
| ka15 | 2073.22402517968 substance | re10 (GA15-GA20ox association) | |
| kd15 | 0.008827838388125 substance | re11 (GA15.GA20ox dissociation) | |
| km15 | 763.777072066507 substance | re12 (GA24 production) | |
| ka24 | 3099.18915892587 substance | re13 (GA24-GA20ox association) | |
| kd24 | 0.01588492846351 substance | re14 (GA24.GA20ox dissociation) | |
| km24 | 2.58846077319221 substance | re15 (GA9 production) | |
| ka9 | 2073.22402517968 substance | re16 (GA9-GA3ox association) | |
| kd9 | 0.008827838388125 substance | re17 (GA9.GA3ox dissociation) | |
| km9 | 763.777072066507 substance | re18 (GA4 production) | |
| q | 0.025118864315096 substance | re19 (GA4.GID lid closing) | |
| p | 0.077624711662869 substance | re20 (GA4.GID-Closed lid opening) | |
| deltaDELLA | 0.000527749140286577 substance | re21 (della translation) | |
| deltaGA20ox | 0.192990314378105 substance | re22 (ga20ox translation) | |
| deltaGA3ox | 0.019299031437811 substance | re23 (ga3ox translation) | |
| deltaGID | 19.2990314378105 substance | re24 (gid translation) | |
| thetaGA20ox | 0.6383 substance | re27 (ga20ox transcription (activated by DELLA)) | |
| thetaGID | 0.00055995 substance | re28 (gid transcription (activated by DELLA)) | |
| thetaDELLA | 0.01 substance | re29 (della transcription (repressed by DELLA)) | |
| thetaGA3ox | 0.0082 substance | re30 (ga3ox transcription (activated by DELLA)) | |
| gammaGA20ox | 3.514 substance | re35 (GA20ox decay) | |
| gammaGID | 3.514 substance | re37 (GID decay) | |
| gammaGA3ox | 3.514 substance | re38 (GA3ox decay) | |
| ua2 | 316.2278 substance | re39 (GA4.GID-DELLA2 association) | |
| ud2 | 2.8184 substance | re40 (GA4.GID.DELLA2 dissociation) | |
| A1 | 0.0307 substance | re41 (GA4 supply) | |
| B1 | 0.00039795 substance | re46 (degradation of GA4) |
| Definition | |
|---|---|
| omegaGA12 = R * omegaGA12ga13 |
| Definition |
|---|
| Definition |
|---|
| Definition |
|---|
| Trigger | Assignments | |
|---|---|---|
| gt(time, tGA4on) | omegaGA4 = appliedGA4 | |
| gt(time, tGA4off) | omegaGA4 = 0 |