A tissue cutting device is disclosed, which is structured and arranged to be inserted through the vascular system into a body vessel adjacent to the heart and/or into the heart, and to be subsequently subjected to a change of shape in order to penetrate into the heart tissue. The tissue cutting device may thus be used for treating disorders to the heart rhythm regulation system. A kit of tissue cutting devices provides a plurality of devices for creating a lesion pattern for treating such disorders. The tissue cutting device is of a biodegradable material, such as hydrolytically degradable material or an enzymatically degradable material.