Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
Decision diagrams for the representation and analysis of logical models of genetic networks
CMSB'07 Proceedings of the 2007 international conference on Computational methods in systems biology
Action-based analysis of discrete regulatory networks with short-term stimuli
Proceedings of the 8th International Conference on Computational Methods in Systems Biology
On the use of temporal formal logic to model gene regulatory networks
CIBB'09 Proceedings of the 6th international conference on Computational intelligence methods for bioinformatics and biostatistics
Petri net representation of multi-valued logical regulatory graphs
Natural Computing: an international journal
An abstraction theory for qualitative models of biological systems
Theoretical Computer Science
Static Analysis of Boolean Networks Based on Interaction Graphs: A Survey
Electronic Notes in Theoretical Computer Science (ENTCS)
Concretizing the process hitting into biological regulatory networks
CMSB'12 Proceedings of the 10th international conference on Computational Methods in Systems Biology
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To cope with the increasing complexity of regulatory networks, we define a reduction method for multi-valued logical models. Starting with a detailed model, this method enables the computation of a reduced model by iteratively "hiding" regulatory components. To keep a consistent behaviour, the logical rules associated with the targets of each hidden node are actualised to account for the (indirect) effects of its regulators. The construction of reduced models ensures the preservation of a number of dynamical properties of the original model. In particular, stable states and more complex attractors are conserved. More generally, we focus on the relationship between the attractor configuration of the original model and that of the reduced model, along with the issue of attractor reachability. The power of the reduction method is illustrated by its application to a multi-valued model of the segment-polarity network Controlling segmentation in the fly Drosophila melanogaster.