Periodic solutions of the monodomain model for the electrical activity of an isolated ventricle

In this paper, we obtain a result of existence of weak periodic solution of the model of monodomain for the electrical activity of an isolated ventricle considering that it is activated periodically. In this regard, this periodic solution has the same period of the activation. We use the Faedo-Galerkin scheme to approximate the periodic solution and we prove that each Faedo-Galerkin system of ordinary differential equations has a periodic solution, via a fixed point theorem. Later, it is proved that this sequence of approximations converges, in a suitable sense, to a weak period solution of the monodomain model.