Abstraction-Based Parameter Synthesis for Multiaffine Systems

Sergiy Bogomolov (1) , Christian Schilling (2) , Ezio Bartocci (3) , Gregory Batt (4) , Hui Kong (1) , Radu Grosu (3)

1 IST Austria - Institute of Science and Technology [Klosterneuburg, Austria]
2 University of Freiburg [Freiburg]
3 TU Wien - Vienna University of Technology = Technische Universität Wien
4 Lifeware - Computational systems biology and optimization

Multiaffine hybrid automata (MHA) represent a powerful formalism to model complex dynamical systems. This formalism is particularly suited for the representation of biological systems which often exhibit highly non-linear behavior. In this paper, we consider the problem of parameter identification for MHA. We present an abstraction of MHA based on linear hybrid automata, which can be analyzed by the SpaceEx model checker. This abstraction enables a precise handling of time-dependent properties. We demonstrate the potential of our approach on a model of a genetic regulatory network and a myocyte model.

Domaines: Systèmes et contrôle [cs.SY]

Sergiy Bogomolov, Christian Schilling, Ezio Bartocci, Gregory Batt, Hui Kong, et al.. Abstraction-Based Parameter Synthesis for Multiaffine Systems. 11th International Haifa Verification Conference, HVC 2015, Haifa, Israel, November 17-19, 2015, Proceedings, Nov 2015, Haifa, Israel. pp.19-35, ⟨10.1007/978-3-319-26287-1_2⟩. ⟨hal-01242371⟩