Attraction Basins as Gauges of Robustness against Boundary Conditions in Biological Complex Systems
Demongeot
J
author
Goles
E
author
Morvan
M
author
Noual
M
author
Sene
S
author
2010
English
One fundamental concept in the context of biological systems on which researches have flourished in the past decade is that of the apparent robustness of these systems, i.e., their ability to resist to perturbations or constraints induced by external or boundary elements such as electromagnetic fields acting on neural networks, micro-RNAs acting on genetic networks and even hormone flows acting both on neural and genetic networks. Recent studies have shown the importance of addressing the question of the environmental robustness of biological networks such as neural and genetic networks. In some cases, external regulatory elements can be given a relevant formal representation by assimilating them to or modeling them by boundary conditions. This article presents a generic mathematical approach to understand the influence of boundary elements on the dynamics of regulation networks, considering their attraction basins as gauges of their robustness. The application of this method on a real genetic regulation network will point out a mathematical explanation of a biological phenomenon which has only been observed experimentally until now, namely the necessity of the presence of gibberellin for the flower of the plant Arabidopsis thaliana to develop normally.
WOS:000280605400002
exported from refbase (show.php?record=92), last updated on Tue, 24 Aug 2010 07:38:35 -0400
text
files/92_Demongeot_etal2010.pdf
10.1371/journal.pone.0011793
Demongeot_etal2010
Plos One
PLoS One
2010
Public Library Science
continuing
periodical
academic journal
5
8
18 pp
1932-6203