Positive circuits and d-dimensional spatial differentiation: Application to the formation of sense organs in Drosophila

BioSystems

Volumn 94, Issue 1-2, 2008, Pages 102-108

  Crumière, Anne ^a   Sablik, Mathieu ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES   (France)

Author keywords

Intercellular genetic interactions; Positive circuit; Regulatory graph; Spatial differentiation

Indexed keywords

CYTOGENETICS; FLY; SENSORY SYSTEM; SPATIAL VARIATION;

ARTICLE; CONTROLLED STUDY; DROSOPHILA; GENE EXPRESSION; GENE INTERACTION; INSECT GENETICS; NONHUMAN; SENSE ORGAN; SPATIAL ORIENTATION;

EID: 53749105166     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2008.05.037     Document Type: Article

References (14)

1. Crumière A. Positive circuits and two-dimensional spatial differentiation: application to the formation of sense organs in Drosophila. Proceedings of the IPCAT. Oxford (2007)
2. Crumière A., and Ruet P. Spatial differentiation and positive circuits in a discrete framework. Proceedings of the DCM (Workshop of ICALP). Wroclaw (2006)
3. Ghysen A., and Thomas R. The formation of sense organs in Drosophila: a logical approach. BioEssays 25 (2003) 802-807
4. González, A., Chaouiya, C., Thieffry, D., 2006. Dynamical analysis of the regulatory network defining the dorsal-ventral boundary of the Drosophila wing imaginal disk. Genetics (Epub ahead of print).
5. Gouzé J.-L. Positive and negative circuits in dynamical systems. Journal of Biological Systems 6 (1998) 11-15
6. Plahte E., Mestl T., and Omholt S.W. Feedback loops, stability and multistationarity in dynamical systems. Journal Biological Systems 3 (1995) 409-413
7. Remy, É., Ruet, P., Thieffry, D., 2008. Graphic requirements for multistability and attractive cycles in a Boolean dynamical framework. Adv. Appl. Math. 41 (3), 335-350.
8. Remy, É., Ruet, P., Thieffry, D., 2006. Positive or negative regulatory circuit inference from multilevel dynamics. In: Positive Systems: Theory and Applications. Springer. LNCIS 341, 263-270.
9. Richard, A., 2006. Modèle formel pour les réseaux de régulation génétique et influence des circuits de rétroaction. Ph.D. Thesis. Universit d'Evry Val d'Essone.
10. Snoussi E.H. Necessary conditions for multistationarity and stable periodicity. Journal of Biological Systems 6 (1998) 3-9
11. Soulé C. Graphic requirements for multistationarity. ComPlexUs 1 (2003) 123-133
12. Soulé, C., 2006. Mathematical approaches to differentiation and gene regulation. C. R. Biologies 329, 13-20.
13. Thomas, R., 1981. On the relation between the logical structure of systems and their ability to generate multiple steady states and sustained oscillations. In: Series in Synergetics, vol. 9. Springer, pp. 180-193.
14. von Neumann J. Theory of Self-reproducing Automata (1966), University of Illinois Press