Goldbeter1996 - Cyclin Cdc2 kinase Oscillations

  public model
Model Identifier
BIOMD0000000729
Short description

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.

Format
SBML (L2V4)
Related Publication
  • 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
  • Facult√© des Sciences, Universit√© 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.
Contributors
Submitter of the first revision: Ashley Xavier
Submitter of this revision: Krishna Kumar Tiwari
Modellers: Ashley Xavier, Krishna Kumar Tiwari

Metadata information

is (2 statements)
BioModels Database BIOMD0000000729
BioModels Database MODEL1812120005

isDescribedBy (1 statement)
PubMed 8631387

hasTaxon (1 statement)
Taxonomy Eukaryota

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Gene Ontology mitotic cell cycle


Curation status
Curated


Tags

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

Goldbeter1996.xml SBML lvl2 file containing the model 48.16 KB Preview | Download

Additional files

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
  • Version: 4 public model Download this version
    • Submitted on: Jul 12, 2019 4:56:51 PM
    • Submitted by: Krishna Kumar Tiwari
    • With comment: updated xml file for bqbiol error flagged
  • Version: 3 public model Download this version
    • Submitted on: Dec 12, 2018 2:02:41 PM
    • Submitted by: Ashley Xavier
    • With comment: Automatically added model identifier BIOMD0000000729

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
C

Rate Constant ; Guanidine
0.0 mmol
M

Kinase
0.0 mmol
X

Phosphatase
0.0 mmol
Reactions
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
Curator's comment:
(added: 12 Dec 2018, 14:02:27, updated: 12 Dec 2018, 14:02:27)
Figures generated in COPASI 4.24 and plotted using R.3.5.1