The current invention concerns systems, devices and methods for the ablation of a vessel's wall from the inside, more specifically to implant devices and to the ablation of the wall of one or more pulmonary veins (PV) from the inside, preferably transmural ablation and preferably at the level of the antrum. Hereby, one or more implant devices can be implanted in the vessels and can subsequently be heated by external energy-providing means.
