An aortic blood pump is described that can be inflated and deflated in response to selective communication with a source of pressurized fluid or air. The pump includes a structure adapted to maintain implant stability in the face of mechanical and fluid forces to which it is exposed in situ. The pump may include a wall adapted to maintain implant stability by connection of the wall to a stiffening element, such as a stent, a brace, a stiffener or any combination of these. Additionally, the pump optionally includes a wall adapted to maintain implant stability by configuring the interior volume to generally follow the contour of the native human aorta.
