An intraluminal device adapted to be positioned in a lumen that experiences peristalsis and method of fixation of an intraluminal device in the lumen, includes a wall configured to the size and shape of a portion of the lumen and at least one core. The at least one core is removably connected with a portion of the device wall. The at least one core is configured to be positioned against the lumen when the wall is positioned in the lumen. In this manner tissue envelopes the core during implantation of the intraluminal device. The at least one core is configured to be axially removable in situ from the tissue enveloping the core after the device has been deployed by disconnecting the core from the portion of the wall in order to explant the intraluminal device from lumen.