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inria-00617419, version 1

Modeling Stochastic Switched Systems with BioRica

Rodrigo Assar (Auteur à contacter de préférence) 1, Alice Garcia () 1, David James Sherman () 1, 2

Journées Ouvertes en Biologie, Informatique et Mathématiques JOBIM 2011 (2011) 297--304

Résumé : 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.

  • 1 :  Magnome (INRIA Bordeaux - Sud-Ouest)
  • CNRS : UMR5800 – INRIA – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)
  • 2 :  Laboratoire Bordelais de Recherche en Informatique (LaBRI)
  • CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II
  • Domaine : Informatique/Bio-informatique
    Sciences du Vivant/Bio-Informatique, Biologie Systémique
  • Mots-clés : Hybrid Systems – Transition Systems – Switched Systems – Cell differentiation
 
  • inria-00617419, version 1
  • http://hal.inria.fr/inria-00617419
  • oai:hal.inria.fr:inria-00617419
  • Contributeur : Rodrigo Assar <>
  • Soumis le : Lundi 29 Août 2011, 00:44:00
  • Dernière modification le : Mardi 13 Décembre 2011, 15:43:14