Leloup1999_CircClock

  public model
Short description
Format
SBML (L2V1)
Related Publication
  • Chaos and birhythmicity in a model for circadian oscillations of the PER and TIM proteins in drosophila
  • Leloup JC, Goldbeter A
  • Journal of theoretical biology , 6/ 1999 , Volume 198 , pages: 445-459
  • Unite de Chronobiologie Theorique, Faculte des Sciences, Universite Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050 Brussels, Belgium.
  • In Drosophila, circadian oscillations in the levels of two proteins, PER and TIM, result from the negative feedback exerted by a PER-TIM complex on the expression of the per and tim genes which code for these two proteins. On the basis of these experimental observations, we have recently proposed a theoretical model for circadian oscillations of the PER and TIM proteins in Drosophila. Here we show that for constant environmental conditions this model is capable of generating autonomous chaotic oscillations. For other parameter values, the model can also display birhythmicity, i.e. the coexistence between two stable regimes of limit cycle oscillations. We analyse the occurrence of chaos and birhythmicity by means of bifurcation diagrams and locate the different domains of complex oscillatory behavior in parameter space. The relative smallness of these domains raises doubts as to the possible physiological significance of chaos and birhythmicity in regard to circadian rhythm generation. Beyond the particular context of circadian rhythms we discuss the results in the light of other mechanisms underlying chaos and birhythmicity in regulated biological systems. Copyright 1999 Academic Press.
Contributors
Nicolas Le Novère

Metadata information

is
BioModels Database MODEL6617834203
BioModels Database BIOMD0000000021
KEGG Pathway dme04710
isDerivedFrom
BioModels Database BIOMD0000000171
isDescribedBy
PubMed 10366496
hasTaxon
isVersionOf
Curation status
Curated
Name Description Size Actions

Model file

BIOMD0000000021_url.xml SBML L2V1 representation of Leloup1999_CircClock 49.54 KB Preview | Download

Additional files

BIOMD0000000021.vcml Auto-generated VCML file 65.68 KB Preview | Download
BIOMD0000000021.pdf Auto-generated PDF file 226.87 KB Preview | Download
BIOMD0000000021_urn.xml Auto-generated SBML file with URNs 48.47 KB Preview | Download
BIOMD0000000021.png Auto-generated Reaction graph (PNG) 126.76 KB Preview | Download
BIOMD0000000021-biopax2.owl Auto-generated BioPAX (Level 2) 29.66 KB Preview | Download
BIOMD0000000021-biopax3.owl Auto-generated BioPAX (Level 3) 45.69 KB Preview | Download
BIOMD0000000021.sci Auto-generated Scilab file 8.56 KB Preview | Download
BIOMD0000000021.xpp Auto-generated XPP file 7.76 KB Preview | Download
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BIOMD0000000021.svg Auto-generated Reaction graph (SVG) 47.71 KB Preview | Download

  • Model originally submitted by : Nicolas Le Novère
  • Submitted: 13-Sep-2005 14:24:15
  • Last Modified: 25-Feb-2015 13:16:43
Revisions
  • Version: 2 public model Download this version
    • Submitted on: 25-Feb-2015 13:16:43
    • Submitted by: Nicolas Le Novère
    • With comment: Current version of Leloup1999_CircClock
  • Version: 1 public model Download this version
    • Submitted on: 13-Sep-2005 14:24:15
    • Submitted by: Nicolas Le Novère
    • With comment: Original import of Leloup1999_CircClock
Curator's comment:
(added: 19 Oct 2006, 21:49:27, updated: 19 Oct 2006, 21:49:27)
Figure 2A reproduced by COPASI 4 build 19