Model Identifier
BIOMD0000000005
Short description
Tyson1991 - Cell Cycle 6 var

Mathematical model of the interactions of cdc2 and cyclin.

This model is described in the article:

Tyson JJ.
Proc. Natl. Acad. Sci. U.S.A. 1991; 88(16); 7328-32

Abstract:

The proteins cdc2 and cyclin form a heterodimer (maturation promoting factor) that controls the major events of the cell cycle. A mathematical model for the interactions of cdc2 and cyclin is constructed. Simulation and analysis of the model show that the control system can operate in three modes: as a steady state with high maturation promoting factor activity, as a spontaneous oscillator, or as an excitable switch. We associate the steady state with metaphase arrest in unfertilized eggs, the spontaneous oscillations with rapid division cycles in early embryos, and the excitable switch with growth-controlled division cycles typical of nonembryonic cells.

To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

Format
SBML (L2V4)
Related Publication
  • Modeling the cell division cycle: cdc2 and cyclin interactions.
  • Tyson JJ
  • Proceedings of the National Academy of Sciences of the United States of America , 8/ 1991 , Volume 88 , pages: 7328-7332 , PubMed ID: 1831270
  • Department of Biology, Virginia Polytechnic Institute and State University, Blacksburg 24061.
  • The proteins cdc2 and cyclin form a heterodimer (maturation promoting factor) that controls the major events of the cell cycle. A mathematical model for the interactions of cdc2 and cyclin is constructed. Simulation and analysis of the model show that the control system can operate in three modes: as a steady state with high maturation promoting factor activity, as a spontaneous oscillator, or as an excitable switch. We associate the steady state with metaphase arrest in unfertilized eggs, the spontaneous oscillations with rapid division cycles in early embryos, and the excitable switch with growth-controlled division cycles typical of nonembryonic cells.
Contributors
Submitter of the first revision: Nicolas Le Novère
Submitter of this revision: administrator
Modellers: administrator, Nicolas Le Novère

Metadata information

is
BioModels Database MODEL6614644188
BioModels Database BIOMD0000000005
isDescribedBy
PubMed 1831270
hasTaxon
Taxonomy Opisthokonta
hasVersion

Curation status
Curated

Tags

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

BIOMD0000000005_url.xml SBML L2V4 representation of Tyson1991 - Cell Cycle 6 var 26.04 KB Preview | Download

Additional files

BIOMD0000000005-biopax2.owl Auto-generated BioPAX (Level 2) 20.67 KB Preview | Download
BIOMD0000000005-biopax3.owl Auto-generated BioPAX (Level 3) 29.48 KB Preview | Download
BIOMD0000000005.m Auto-generated Octave file 5.66 KB Preview | Download
BIOMD0000000005.pdf Auto-generated PDF file 177.40 KB Preview | Download
BIOMD0000000005.png Auto-generated Reaction graph (PNG) 32.57 KB Preview | Download
BIOMD0000000005.sci Auto-generated Scilab file 2.99 KB Preview | Download
BIOMD0000000005.svg Auto-generated Reaction graph (SVG) 23.72 KB Preview | Download
BIOMD0000000005.vcml Auto-generated VCML file 37.74 KB Preview | Download
BIOMD0000000005.xpp Auto-generated XPP file 3.29 KB Preview | Download
BIOMD0000000005_SED-ML.xml This SED-ML file allows you to reproduce the curation result (Fig 3a), for example, by loading it into SED-ML Web Tools (http://sysbioapps.dyndns.org/SED-ML_Web_Tools/). 2.06 KB Preview | Download
BIOMD0000000005_manual.png Manually generated Reaction graph (PNG) 32.57 KB Preview | Download
BIOMD0000000005_manual.svg Manually generated Reaction graph (SVG) 23.72 KB Preview | Download
BIOMD0000000005_urn.xml Auto-generated SBML file with URNs 25.92 KB Preview | Download

  • Model originally submitted by : Nicolas Le Novère
  • Submitted: Sep 13, 2005 1:31:08 PM
  • Last Modified: Dec 21, 2018 4:56:05 PM
Revisions
  • Version: 3 public model Download this version
    • Submitted on: Dec 21, 2018 4:56:05 PM
    • Submitted by: administrator
    • With comment: Include the additional files provided by the submitter in the original submission: BIOMD0000000005_SED-ML.xml
  • Version: 2 public model Download this version
    • Submitted on: May 16, 2013 3:40:43 PM
    • Submitted by: Nicolas Le Novère
    • With comment: Current version of Tyson1991 - Cell Cycle 6 var
  • Version: 1 public model Download this version
    • Submitted on: Sep 13, 2005 1:31:08 PM
    • Submitted by: Nicolas Le Novère
    • With comment: Original import of Tyson1991_CellCycle_6var

(*) 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
Y

IPR006670
0.0 mol
M

Cyclin-dependent kinase 1 ; IPR006670
0.0 mol
YP

IPR006670
0.0 mol
CT

Cyclin-dependent kinase 1
0.0 mol
C2

Cyclin-dependent kinase 1
0.0 mol
pM

Cyclin-dependent kinase 1 ; IPR006670
0.25 mol
YT

IPR006670
0.0 mol
Reactions
Reactions Rate Parameters
EmptySet => Y cell*k1aa k1aa=0.015
pM => M; CT cell*pM*(k4prime+k4*(M/CT)^2) k4=180.0; k4prime=0.018
Y => EmptySet cell*k2*Y k2=0.0
YP => EmptySet cell*k7*YP k7=0.6
CT = C2+CP+M+pM [] []
C2 => CP cell*C2*k8notP k8notP=1000000.0
M => C2 + YP cell*k6*M k6=1.0
M => pM cell*k5notP*M k5notP=0.0
CP + Y => pM cell*CP*k3*Y k3=200.0
YT = Y+YP+M+pM [] []
Curator's comment:
(added: 08 Feb 2010, 10:29:04, updated: 08 Feb 2010, 10:29:04)
The model reproduces figure 3A of the reference publication. The model was integrated and simulated using Copasi v4.5 (Build 30).