On Proving the Absence of Oscillations in Models of Genetic Circuits

@inproceedings{Boulier2007OnPT,
  title={On Proving the Absence of Oscillations in Models of Genetic Circuits},
  author={François Boulier and Marc Lefranc and François Lemaire and Pierre-Emmanuel Morant and Asli {\"U}rg{\"u}pl{\"u}},
  booktitle={AB},
  year={2007}
}
Using computer algebra methods to prove that gene regulatory networks cannot oscillate appears to be easier than expected. We illustrate this claim on a family of models related to historical examples. 

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References

Publications referenced by this paper.
Showing 1-10 of 26 references

Plant circadian rhythms.

The Plant cell • 2006
View 7 Excerpts
Highly Influenced

QEPCAD B: a program for computing with semi-algebraic sets using CADs

C. W. Brown
SIGSAM Bulletin 37(4) • 2003
View 4 Excerpts
Highly Influenced

Oscillateurs génétiques simples

P. E. Morant, C. Vandermoere, +5 authors M. Lefranc
Applications à l’horloge circadienne d’une algue unicellulaire. In: proceedings of the Rencontre du non linéaire, Paris • 2007
View 4 Excerpts
Highly Influenced

Oscillations en biologie

J. P. Françoise
Volume 46 of Mathématiques et Applications. Springer Verlag • 2005
View 1 Excerpt

Biochemical Oscillations and Cellular Rhythms: The Molecular Bases of Periodic and Chaotic Behaviour

A. Goldbeter
Cambridge University Press • 2004
View 1 Excerpt

RAGLib (Real Algebraic Library Maple package)

M. S. El Din
http:// www-calfor.lip6.fr/safey/RAGLib • 2003
View 1 Excerpt

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