Genetic regulation networks: circuits, regulons and attractors.
We deal in this paper with the concept of genetic regulation network. The genes expression observed through the bio-array imaging allows the geneticist to obtain the intergenic interaction matrix W of the network. The interaction graph G associated to W presents in general interesting features like connected components, gardens of Eden, positive and negative circuits (or loops), and minimal components having 1 positive and 1 negative loop called regulons. Depending on parameters values like the connectivity coefficient K(W) and the mean inhibition weight I(W), the genetic regulation network can present several dynamical behaviours (fixed configuration, limit cycle of configurations) called attractors, when the observation time increases. We give some examples of such genetic regulation networks and analyse their dynamical properties and their biological consequences.
Demongeot
Jacques
J
Institut universitaire de France & CNRS TIMC-IMAG, Faculty of Medicine, 38700 La Tronche, France. Jacques.Demongeot@imag.fr
Aracena
Julio
J
Thuderoz
Florence
F
Baum
Thierry-Pascal
TP
Cohen
Olivier
O
D000818:Animals; D017360:Arabidopsis / Q000235:genetics / Q000254:growth & development; D010582:Bacteriophage lambda / Q000502:physiology; D004331:Drosophila melanogaster / Q000196:embryology; D005775:Gastrula / Q000502:physiology; D020869:Gene Expression Profiling; D005786:Gene Expression Regulation; D018506:Gene Expression Regulation, Plant; D008242:Lysogeny; D008433:Mathematics; D008957:Models, Genetic; D020411:Oligonucleotide Array Sequence Analysis; D018085:Regulon