On circuit functionality in boolean networks.

Details

Serval ID
serval:BIB_75F51380A25E
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
On circuit functionality in boolean networks.
Journal
Bulletin of Mathematical Biology
Author(s)
Comet J.P., Noual M., Richard A., Aracena J., Calzone L., Demongeot J., Kaufman M., Naldi A., Snoussi el H, Thieffry D.
ISSN
1522-9602 (Electronic)
ISSN-L
0092-8240
Publication state
Published
Issued date
2013
Volume
75
Number
6
Pages
906-919
Language
english
Abstract
It has been proved, for several classes of continuous and discrete dynamical systems, that the presence of a positive (resp. negative) circuit in the interaction graph of a system is a necessary condition for the presence of multiple stable states (resp. a cyclic attractor). A positive (resp. negative) circuit is said to be functional when it "generates" several stable states (resp. a cyclic attractor). However, there are no definite mathematical frameworks translating the underlying meaning of "generates." Focusing on Boolean networks, we recall and propose some definitions concerning the notion of functionality along with associated mathematical results.
Pubmed
Web of science
Create date
04/08/2013 9:32
Last modification date
20/08/2019 15:33
Usage data