Leloup1999_CircClock
Model Identifier
BIOMD0000000021
Short description
This model originates from BioModels Database: A Database of Annotated Published Models. It is copyright (c) 2005-2009 The BioModels Team.
For more information see the terms of use.
To cite BioModels Database, please use Le Novère N., Bornstein B., Broicher A., Courtot M., Donizelli M., Dharuri H., Li L., Sauro H., Schilstra M., Shapiro B., Snoep J.L., Hucka M. (2006) BioModels Database: A Free, Centralized Database of Curated, Published, Quantitative Kinetic Models of Biochemical and Cellular Systems Nucleic Acids Res., 34: D689-D691.
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 , PubMed ID: 10366496
- 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
Submitter of the first revision: Nicolas Le Novère
Submitter of this revision: Nicolas Le Novère
Submitter of this revision: Nicolas Le Novère
Metadata information
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isDerivedFrom
isDescribedBy
hasTaxon
isVersionOf
Curation status
Curated
Tags
Connected external resources
SBGN view in Newt Editor
| Name | Description | Size | Actions |
|---|---|---|---|
Model files |
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| BIOMD0000000021_url.xml | SBML L2V1 representation of Leloup1999_CircClock | 49.54 KB | Preview | Download |
Additional files |
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| 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.m | Auto-generated Octave file | 12.62 KB | Preview | Download |
| BIOMD0000000021.pdf | Auto-generated PDF file | 226.87 KB | Preview | Download |
| BIOMD0000000021.png | Auto-generated Reaction graph (PNG) | 126.76 KB | Preview | Download |
| BIOMD0000000021.sci | Auto-generated Scilab file | 8.56 KB | Preview | Download |
| BIOMD0000000021.svg | Auto-generated Reaction graph (SVG) | 47.71 KB | Preview | Download |
| BIOMD0000000021.vcml | Auto-generated VCML file | 65.68 KB | Preview | Download |
| BIOMD0000000021.xpp | Auto-generated XPP file | 7.76 KB | Preview | Download |
| BIOMD0000000021_urn.xml | Auto-generated SBML file with URNs | 48.47 KB | Preview | Download |
- Model originally submitted by : Nicolas Le Novère
- Submitted: Sep 13, 2005 2:24:15 PM
- Last Modified: Feb 25, 2015 1:16:43 PM
Revisions
-
Version: 2
- Submitted on: Feb 25, 2015 1:16:43 PM
- Submitted by: Nicolas Le Novère
- With comment: Current version of Leloup1999_CircClock
-
Version: 1
- Submitted on: Sep 13, 2005 2:24:15 PM
- Submitted by: Nicolas Le Novère
- With comment: Original import of Leloup1999_CircClock
(*) You might be seeing discontinuous
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Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
| Species | Initial Concentration/Amount |
|---|---|
| Mt messenger RNA ; RNA |
0.0 nmol |
| P1 Period circadian protein |
0.0 nmol |
| T2 Protein timeless |
0.0 nmol |
| P0 Period circadian protein |
0.0 nmol |
| Cn Protein timeless ; Period circadian protein |
0.0 nmol |
| Mp messenger RNA ; RNA |
0.0 nmol |
| T1 Protein timeless |
0.0 nmol |
| CC Protein timeless ; Period circadian protein |
0.0 nmol |
| T0 Protein timeless |
0.0 nmol |
Reactions
| Reactions | Rate | Parameters |
|---|---|---|
| => Mt; Cn | Cell*V_sT*K_IT^n/(K_IT^n+Cn^n) | K_IT=1.0; n=4.0; V_sT=1.0 |
| P2 => P1 | Cell*V_4P*P2/(K_4P+P2) | K_4P=2.0; V_4P=1.0 |
| Mt => | Cell*k_d*Mt+Cell*V_mT*Mt/(K_mT+Mt) | V_mT = 0.7; K_mT=0.2; k_d=0.01 |
| P2 + T2 => CC | Cell*k3*P2*T2-Cell*k4*CC | k3=1.2; k4=0.6 |
| P0 => P1 | Cell*V_1P*P0/(K1_P+P0) | V_1P=8.0; K1_P=2.0 |
| T2 => | Cell*k_d*T2+Cell*V_dT*T2/(K_dT+T2) | V_dT = 2.0; K_dT=0.2; k_d=0.01 |
| T1 => T2 | Cell*V_3T*T1/(K_3T+T1) | K_3T=2.0; V_3T=8.0 |
| CC => Cn | Cell*k1*CC-compartment_0000002*k2*Cn | k1=0.6; k2=0.2 |
| => Mp; Cn | Cell*v_sP*K_IP^n/(K_IP^n+Cn^n) | v_sP=1.0; K_IP=1.0; n=4.0 |
| Mp => | Cell*k_d*Mp+Cell*V_mP*Mp/(K_mP+Mp) | V_mP=0.7; K_mP=0.2; k_d=0.01 |
| T1 => | Cell*k_d*T1 | k_d=0.01 |
| T1 => T0 | Cell*V_2T*T1/(K_2T+T1) | V_2T=1.0; K_2T=2.0 |
| P1 => P2 | Cell*V_3P*P1/(K_3P+P1) | V_3P=8.0; K_3P=2.0 |
Curator's comment:
(added: 19 Oct 2006, 21:49:27, updated: 19 Oct 2006, 21:49:27)
(added: 19 Oct 2006, 21:49:27, updated: 19 Oct 2006, 21:49:27)
Figure 2A reproduced by COPASI 4 build 19