7 citations · 17 across the 12 of their papers we have counts for
5 papers · 1 filter
Boolean automata isolated cycles and tangential double-cycles dynamics
Jacques Demongeot, Tarek Melliti, Mathilde Noual +2
Our daily social and political life is more and more impacted by social networks. The functioning of our living bodies is deeply dependent on biological regulation networks such as…
Asynchronous simulation of Boolean networks by monotone Boolean networks
Tarek Melliti, Damien Regnault, Adrien Richard +1
We prove that the fully asynchronous dynamics of a Boolean network without negative loop can be simulated, in a very specific way, by a monotone Boolean n…
Lost in Self-stabilization
Damien Regnault, Eric Rémila
One of the questions addressed here is How can a twisted thread correct itself?. We consider a theoretical model where the studied mathematical object represents a 2D twisted discr…
Non-monotony and Boolean automata networks
Mathilde Noual, Damien Regnault, Sylvain Sené
This paper aims at setting the keystone of a prospective theoretical study on the role of non-monotone interactions in biological regulation networks. Focusing on discrete models o…
Progresses in the Analysis of Stochastic 2D Cellular Automata: a Study of Asynchronous 2D Minority
Damien Regnault, Nicolas Schabanel, Éric Thierry
Cellular automata are often used to model systems in physics, social sciences, biology that are inherently asynchronous. Over the past 20 years, studies have demonstrated that the…