Section: New Results

Multi-affine Hybrid Automaton Model of Cardiac Cells

Participant : Grégory Batt.

A fundamental question in the treatment of cardiac disorders, such as tachycardia and fibrillation, is under what circumstances does such a disorder arise? To answer to this question, in collaboration with E. Bartocci and R. Grosu at SUNY, Stony Brook, USA, we develop a multi-affine hybrid automaton (MHA) cardiac-cell model, and restate the original question as one of identification of the parameter ranges under which the MHA model accurately reproduces the disorder [12] . The MHA model is obtained from the minimal cardiac model of one of the authors, Fenton from Cornell University, by first bringing it into the form of a canonical genetic regulatory network, and then linearizing its sigmoidal switches in an optimal way. By leveraging the Rovergene tool for genetic regulatory networks, we are then able to successfully identify the parameter ranges of interest.