A system and method of use for effecting the bypass or other anastomosis, connection, or port in a portion of a native blood vessel, duct, lumen or other tubular organ within the body of a living being. The system includes a connector assembly and a deployment instrument for carrying the device to the desired position within the vessel, duct, lumen or tubular organ. The system includes a piercer-dilator instrument to form an opening in the wall of the vessel, duct, lumen or tubular organ into which a connector assembly may be deployed by the deployment instrument. The connector assembly may be at least partially formed of a resorbable material and includes movable members for securing it to the tissue of the vessel, duct, lumen or tubular organ contiguous with the opening. Other components may be included in the device for expediting the procedure, with or without the use of sutures.
