Goldbeter1996 - Cyclin Cdc2 kinase Oscillations
We consider a minimal cascade model previously proposed for the mitotic oscillator driving the embryonic cell division cycle. The model is based on a bicyclic phosphorylation-dephosphorylation cascade involving cyclin and cdc2 kinase. By constructing stability diagrams showing domains of periodic behavior as a function of the maximum rates of the kinases and phosphatases involved in the two cycles of the cascade, we investigate the role of these converter enzymes in the oscillatory mechanism. Oscillations occur when the balance of kinase and phosphatase rates in each cycle is in a range bounded by two critical values. The results suggest ways to arrest the mitotic oscillator by altering the maximum rates of the converter enzymes. These results bear on the control of cell proliferation.
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Arresting the mitotic oscillator and the control of cell proliferation: insights from a cascade model for cdc2 kinase activation.
- Goldbeter A, Guilmot JM
- Experientia , 3/ 1996 , Volume 52 , Issue 3 , pages: 212-216 , PubMed ID: 8631387
- Faculté des Sciences, Université Libre de Bruxelles, Belgium.
- We consider a minimal cascade model previously proposed for the mitotic oscillator driving the embryonic cell division cycle. The model is based on a bicyclic phosphorylation-dephosphorylation cascade involving cyclin and cdc2 kinase. By constructing stability diagrams showing domains of periodic behavior as a function of the maximum rates of the kinases and phosphatases involved in the two cycles of the cascade, we investigate the role of these converter enzymes in the oscillatory mechanism. Oscillations occur when the balance of kinase and phosphatase rates in each cycle is in a range bounded by two critical values. The results suggest ways to arrest the mitotic oscillator by altering the maximum rates of the converter enzymes. These results bear on the control of cell proliferation.
Submitter of this revision: Krishna Kumar Tiwari
Modellers: Ashley Xavier, Krishna Kumar Tiwari
Metadata information
isDescribedBy (1 statement)
hasTaxon (1 statement)
hasProperty (2 statements)
Gene Ontology mitotic cell cycle
Connected external resources
SBGN view in Newt Editor
| Name | Description | Size | Actions |
|---|---|---|---|
Model files |
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| Goldbeter1996.xml | SBML lvl2 file containing the model | 48.16 KB | Preview | Download |
Additional files |
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| Goldbeter1996.cps | Copasi file to generate the plot | 66.16 KB | Preview | Download |
- Model originally submitted by : Ashley Xavier
- Submitted: Dec 12, 2018 2:02:41 PM
- Last Modified: Jul 12, 2019 4:56:51 PM
Revisions
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Version: 4
- Submitted on: Jul 12, 2019 4:56:51 PM
- Submitted by: Krishna Kumar Tiwari
- With comment: updated xml file for bqbiol error flagged
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Version: 3
- Submitted on: Dec 12, 2018 2:02:41 PM
- Submitted by: Ashley Xavier
- With comment: Automatically added model identifier BIOMD0000000729
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: Variable used inside SBML models
| Species | Initial Concentration/Amount |
|---|---|
| C Rate Constant ; Guanidine |
0.0 mmol |
| M Kinase |
0.0 mmol |
| X Phosphatase |
0.0 mmol |
| Reactions | Rate | Parameters |
|---|---|---|
| => C | compartment*vi | vi = 0.05 |
| M => | compartment*V2*M/(K2+M) | V2 = 1.5; K2 = 0.01 |
| => X | compartment*V3*(1-X)/((K3+1)-X) | V3 = 0.0; K3 = 0.01 |
| C => ; X | compartment*vd*X*C/(Kd+C) | Kd = 0.02; vd = 0.25 |
| C => | compartment*kd*C | kd = 0.01 |
| X => | compartment*V4*X/(K4+X) | K4 = 0.01; V4 = 0.5 |
| => M | compartment*V1*(1-M)/((K1+1)-M) | K1 = 0.01; V1 = 0.0 |
(added: 12 Dec 2018, 14:02:27, updated: 12 Dec 2018, 14:02:27)