Neural and automata networks: dynamical behavior and applications
Neural and automata networks: dynamical behavior and applications
Computing with truly asynchronous threshold logic networks
Theoretical Computer Science
Discrete state neural networks and energies
Neural Networks
Complexity Issues in Neural Network Computations
LATIN '92 Proceedings of the 1st Latin American Symposium on Theoretical Informatics
Fixed points and maximal independent sets in AND-OR networks
Discrete Applied Mathematics
On limit cycles of monotone functions with symmetric connection graph
Theoretical Computer Science - Discrete applied problems, florilegium for E. Goles
Necessary conditions for multistationarity in discrete dynamical systems
Discrete Applied Mathematics
Note: Comparison between parallel and serial dynamics of Boolean networks
Theoretical Computer Science
Interaction Motifs in Regulatory Networks and Structural Robustness
CISIS '08 Proceedings of the 2008 International Conference on Complex, Intelligent and Software Intensive Systems
Combinatorics on update digraphs in Boolean networks
Discrete Applied Mathematics
Local negative circuits and fixed points in non-expansive Boolean networks
Discrete Applied Mathematics
Combinatorics of Boolean automata circuits dynamics
Discrete Applied Mathematics
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This paper aims at presenting motivations and first results of a prospective theoretical study on the role of non-monotone interactions in the modelling process of biological regulation networks. Focusing on discrete models of these networks, namely, Boolean automata networks, we propose to analyse the contribution of non-monotony to the diversity and complexity in their dynamical behaviours. More precisely, in this paper, we start by detailing some motivations, both mathematical and biological, for our interest in non-monotony, and we discuss how it may account for phenomena that cannot be produced by monotony only. Then, to build some understanding in this direction, we show some preliminary results on the dynamical behaviours of some specific non-monotone Boolean automata networks called xor circulant networks.