Title
Symbolic reachability analysis of genetic regulatory networks using discrete abstractions
Abstract
We use hybrid-systems techniques for the analysis of reachability properties of a class of piecewise-affine (PA) differential equations that are particularly suitable for the modeling of genetic regulatory networks. More specifically, we introduce a hyperrectangular partition of the state space that forms the basis for a discrete abstraction preserving the sign of the derivatives of the state variables. The resulting discrete transition system provides a qualitative description of the network dynamics that is well-adapted to available experimental data and that can be efficiently computed in a symbolic manner from inequality constraints on the parameters.
Year
DOI
Venue
2008
10.1016/j.automatica.2007.08.004
Automatica
Keywords
DocType
Volume
Piecewise-affine differential equations,Qualitative analysis,Discrete abstraction,Hybrid systems,Genetic regulatory networks,Systems biology
Journal
44
Issue
ISSN
Citations 
4
0005-1098
5
PageRank 
References 
Authors
0.62
1
4
Name
Order
Citations
PageRank
Grégory Batt136425.79
Hidde de Jong21328132.83
Michel Page331025.93
Johannes Geiselmann425426.07