BIOMD0000000319
type: SBMLModel
occurs in: http://identifiers.org/taxonomy/131567
units def: 697208
substance units: 697208
time units: 067600
is: MODEL1102070000
compartment: meta cell
species: 462451
modified:
  W3 CDTF: Fri Mar 09 15:57:51 GMT 2012
reaction: 462458
reaction: 462455
creator:
  ORG:
    orgname: University of Manchester
  n:
    given: Kieran
    family: Smallbone
area units: area
length unit: length
units def: 697256
name: Decroly1982_Enzymatic_Oscillator
curated: true
volume units: 697232
reaction: 462461
units def: 697232
created:
  W3 CDTF: Wed Aug 11 14:53:05 BST 2010
is version of: GO:0048511
is described by: http://identifiers.org/pubmed/6960354
reaction: 462452
notes: This is the scaled model described in the article: Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system Olivier Decroly, Albert Goldbeter, Proc Natl Acad Sci USA 1982 79:6917-6921; PMID: 6960354 ; Abstract: We analyze on a model biochemical system the effect of a coupling between two instability-generating mechanisms. The system considered is that of two allosteric enzymes coupled in series and activated by their respective products. In addition to simple periodic oscillations, the system can exhibit a variety of new modes of dynamic behavior; coexistence between two stable periodic regimes (birhythmicity), random oscillations (chaos), and coexistence of a stable periodic regime with a stable steady state (hard excitation) or with chaos. The relationship between these patterns of temporal self-organization is analyzed as a function of the control parameters of the model. Chaos and birhythmicity appear to be rare events in comparison with simple periodic behavior. We discuss the relevance of these results with respect to the regularity of most biological rhythms. The parameters q1 = 50 and q2 = 0.02 are explicitely included as the stoichiometric coefficients of beta and gamma in the reactions r2 and r3, respectively. Parameter values and initial conditions [ks=1.99/sec, alpha(0)=29.19988, beta(0)=188.8, gamma(0)=0.3367] are for the chaotic regime presented in the upper-curve of Figure 3b.
species: 462445
species: 462448

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meta cell
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462451
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initial concentration: 0.3367
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in compartment: meta cell
name: gamma

462458
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kinetic law: 697364
product: 697352
reactant: 697340
is version of: GO:0003824
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fast: false
reversible: false

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value: 10.0

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units: dimensionless
value: 0.0

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units: dimensionless
value: 100.0

697352
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stoichiometry: 0.02
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462455
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kinetic law: 697328
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reactant: 697304
is version of: GO:0003824
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fast: false
reversible: false

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type: LocalParameter
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value: 10.0

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type: LocalParameter
units: dimensionless
value: 5.0E8

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stoichiometry: 50.0
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value: 0.45

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