Modeling Stochastic Switched Systems with BioRica

Rodrigo Assar 1, * Alice Garcia 1 David James Sherman 1, 2
* 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
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.
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Rodrigo Assar, Alice Garcia, David James Sherman. Modeling Stochastic Switched Systems with BioRica. Journées Ouvertes en Biologie, Informatique et Mathématiques JOBIM 2011, Institut Pasteur, Jun 2011, Paris, France. pp.297--304. ⟨inria-00617419⟩

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