Multi-formalism Modelling of Cardiac Tissue

Abstract. Many models of the cardiovascular system (e.g. cardiac elec-trical activity, autonomous nervous system,...) have been proposed for the last decades. Research is now focusing on the integration of these dierent models, in order to study more complicated physiopathological states in clinical applications context. To get round the practical limita-tions of existing models, multi-formalism modelling appears as a way to ease the integration of these dierent models together. This paper presents an original methodology allowing to combine dier-ent types of description formalisms. This method has been applied to de ne a multi-formalism model of cardiac action potential propagation on a 2D grid of endocardial cells, combining cellular automata and a set of cells dened by the Beeler-Reuter model. Results, obtained under physiologic and ischemic conditions, highlight the improvements in term of computing compared with mono-formalism systems, while keeping the necessary explanatory strength for a practical clinical use.