BIOMD0000000006
type: SBMLModel
species: 808249
created:
  W3 CDTF: Tue Feb 08 18:36:17 GMT 2005
length unit: length
volume units: volume
parameter: 175140
reaction: 175122
is described by: http://identifiers.org/pubmed/1831270
rule: 175131
species: 808265
compartment: 000002
reaction: 175123
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Lukas
    family: Endler
is version of: GO:0000278
parameter: 175134
rule: 175129
rule: 175128
area units: area
is: MODEL6614715255
time units: time
modified:
  W3 CDTF: Thu May 16 15:38:56 BST 2013
is: sce04111
reaction: 175121
parameter: 175139
rule: 175132
creator:
  ORG:
    orgname: NASA Jet Propulsion Laboratory
  n:
    given: Bruce
    family: Shapiro
species: 175119
notes: Tyson1991 - Cell Cycle 2 var Mathematical model of the interactions of cdc2 and cyclin. Description taken from the original Cellerator version of the model ( Tyson (1991, 2 variables) at http://www.cellerator.org ). This model is described in the article: Modeling the cell division cycle: cdc2 and cyclin interactions. 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. This is a two variable reduction of the larger 6-variable model published in the same paper. The equations are: u'= k4(v-u)(alpha+u^2)-k6*u v'=kappa-k6*u z= v-u with kappa = k1[aa]/[CT] In the present implementation, an additional variable z is introduced with z = v-u is made, so that the different variables be interpreted as follows: u=[activeMPF]/[CT] v=([cyclin]+[preMPF]+[activeMPF])/[CT] z=([ cyclin]+[preMPF])/[CT] with [CT]=[CDC2]+{CDC2P]+[preMPF]+[aMPF]. The reactions included are only to show the flows between z and u, and do not influence the species, as they all are set to boundaryCondition=True , meaning, that they are only determined by the rate rules (explicit differential equations) and assignment rules. If you set boundaryCondition=False and remove the rate rules for v, u and the the assignment rule for z, you get the more symmetrical, but equivalent, version from the Cellerator repository: u'= k4*z*(alpha+u^2)-k6*u …
parameter: 175136
curated: true
substance units: substance
has version: REACT 152
species: 808285
occurs in: http://identifiers.org/taxonomy/33154
name: Tyson1991 - Cell Cycle 2 var
parameter: 175135

808249
type: Species
is: SBO:0000291
constant: false
boundary condition: true
has only substance units: true
initial concentration: NaN
initial amount: 1.0
in compartment: 000002

000002
type: Compartment
is: GO:0005623
constant: true
size: 1.0
spatial dimensions: 3.0

175140
type: Parameter
constant: false
value: NaN

175122
type: Reaction
kinetic law: 372804
product: 372792
reactant: 372780
is: SBO:0000179
fast: false
reversible: false

372792
type: SpeciesReference
stoichiometry: 1.0
species: 808249

372780
type: SpeciesReference
stoichiometry: 1.0
species: 808265

808265
type: Species
constant: false
initial amount: 0.0
has only substance units: true
has property: GO:0004693
is version of: GO:0031387
in compartment: 000002
is: SBO:0000297
initial concentration: NaN
boundary condition: true

175123
type: Reaction
kinetic law: 372840
product: 372828
reactant: 372816
is: SBO:0000176
fast: false
reversible: false

372828
type: SpeciesReference
stoichiometry: 1.0
species: 808265

372816
type: SpeciesReference
stoichiometry: 1.0
species: 808285

808285
type: Species
has version: P04551
is: SBO:0000297
constant: false
boundary condition: true
has only substance units: true
initial concentration: NaN
initial amount: 0.0
in compartment: 000002

175134
type: Parameter
constant: true
value: 0.015

175121
type: Reaction
kinetic law: 372768
product: 372756
reactant: 372744
is: SBO:0000205
fast: false
reversible: false

372756
type: SpeciesReference
stoichiometry: 1.0
species: 808285

372744
type: SpeciesReference
stoichiometry: 1.0
species: 808249

175139
type: Parameter
constant: true
value: 0.018

175119
type: Species
in compartment: 000002
has only substance units: true
has property: GO:0004693
initial amount: 0.0
boundary condition: true
is: SBO:0000297
has version: GO:0031387
initial concentration: NaN
has version: P04551
constant: false

175136
type: Parameter
constant: true
value: 180.0

175135
type: Parameter
constant: true
value: 1.0