Invalidation of the structure of genetic network dynamics: a geometric approach

Ricardo Porreca 1, * Eugenio Cinquemani 2, * John Lygeros 1, * Giancarlo Ferrari-Trecate 3, *
* Corresponding author
2 IBIS - Modeling, simulation, measurement, and control of bacterial regulatory networks
LAPM - Laboratoire Adaptation et pathogénie des micro-organismes [Grenoble], Inria Grenoble - Rhône-Alpes, Institut Jean Roget
Abstract : This work concerns the identification of the structure of a genetic network model from measurements of gene product concentrations and synthesis rates. In earlier work, we developed a data preprocessing algorithm that is able to reject many hypotheses on the network structure by testing certain monotonicity properties for a wide family of network models. Here, we develop a geometric interpretation of the method. Then, for a relevant subclass of genetic network models, we extend our approach to the combined testing of monotonicity and convexity-like properties associated with the network structures. The theoretical aspects and practical performance of the enhanced methods are illustrated by way of numerical results.
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Ricardo Porreca, Eugenio Cinquemani, John Lygeros, Giancarlo Ferrari-Trecate. Invalidation of the structure of genetic network dynamics: a geometric approach. International Journal of Robust and Nonlinear Control, Wiley, 2012, Special Issue: System Identification for Biological Systems, 22 (10), pp.1140-1156. ⟨http://onlinelibrary.wiley.com/doi/10.1002/rnc.2799/abstract⟩. ⟨10.1002/rnc.2799⟩. ⟨hal-00762592⟩

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