Summary: EPJ manuscript No.
(will be inserted by the editor)
Spiral waves on a contractile tissue
and D. Ambrosi2 a
Dipartimento di Elettronica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
MOX-Dipartimento di Matematica, Politecnico di Milano, piazza Leonardo da Vinci 32, 20133 Milano, Italy
Received: date / Revised version: date
Abstract. In a healthy cardiac tissue, electric waves propagate in the form of a travelling pulse, from
the apex to the base, and activate the contraction of the heart. Defects in the propagation can destabilize
travelling fronts and originate possible new periodic solutions, as spiral waves. Spiral waves are quite stable,
but the interplay between currents and strain can distort the periodic pattern, provided the coupling is
strong enough. In this paper we investigate the stability of spiral waves on a contractile medium in a non
standard framework, in which the electrical potential dictates the active strain (not stress) of the muscle.
The role of conducting and contracting fibers is included in the model and periodic boundary conditions
are adopted. A correlation analysis allows to evaluate numerically the range of stability of the parameters
for the spiral waves, depending on the strain of the contracted fibers and on the magnitude of the stretch