A flow control apparatus for controlling a flow of fluid and/or other matter in a lumen formed by a tissue wall of a patient's organ. The apparatus comprises a control device adapted to control contraction of the tissue wall to influence the flow in the lumen. The apparatus further comprises an implantable constriction device adapted to gently and simultaneously constrict a series of wall portions comprising three or more wall portions of the tissue wall to influence the flow in the lumen, wherein the constriction device gently constricts the series of wall portions by constricting the series of wall portions to a constricted state in which the blood circulation in the constricted series of wall portions is substantially unrestricted and the flow in the lumen is at least restricted, and an implantable energized stimulation device adapted to individually and independently stimulate a selected wall portion of the series of wall portions, comprising three or more wall portions.