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* Corresponding author 1 MAGNOME - Models and Algorithms for the Genome Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800 2 LaBRI - Laboratoire Bordelais de Recherche en Informatique

Abstract : Modeling physycal and biological dynamic systems needs to combine different types of models in a non-ambiguous way. We present an approach to integrate continuous, discrete, stochastic, deterministic and non-deterministic elements by using Transition Systems theory, reuse, composition of models, and the framework BioRica. The systems are described by interacting con- tinuous and discrete models, and in addition continuous models are decomposed into two compo- nents: controlled and controller model. We define Stochastic Switched Systems whose continuous dynamics is modeled by differential equations and its discrete dynamics by transition systems, al- lowing stochastic and non-deterministic behaviours. We illustrated the use of our approach with examples of intrinsically and approximated hybrid systems. Our approach allows us to give a first step to integrate and to extend models of complex systems, such as cell differentiation.

Keywords : Hybrid Systems Transition Systems Switched Systems Cell differentiation

Author: Rodrigo Assar - Alice Garcia - David James Sherman -



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