7 citations · 30 across the 15 of their papers we have counts for
8 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…
Shortest Trajectories and Reversibility in Boolean Automata Networks
Mathilde Noual
The question this research report explores is the following: when does a shortest trajectory between two configurations, or between one configuration and an attractor need to chang…
A combinatorial problem about binary necklaces and attractors of Boolean automata networks
Mathilde Noual
It is known that there are no more Lyndon words of length n than there are periodic necklaces of same length. This paper considers a similar problem where, additionally, the neckla…
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…
Towards a theory of modelling with Boolean automata networks - I. Theorisation and observations
Mathilde Noual, Sylvain Sené
Although models are built on the basis of some observations of reality, the concepts that derive theoretically from their definitions as well as from their characteristics and prop…
General Iteration graphs and Boolean automata circuits
Mathilde Noual
This article is set in the field of regulation networks modeled by discrete dynamical systems. It focuses on Boolean automata networks. In such networks, there are many ways to upd…