Apparatus and methods for intraoperatively performing surgery to create transmural channels in tissue, for example, as in transmyocardial revascularization, are provided using a device including a mechanical end effector and means for stabilizing the end effector in contact with the tissue. The end effector is adapted to cooperate with a source of suction to evacuate tissue severed during the channel forming process, and may optionally include an electrode for cauterizing the tissue surrounding the channel.