An apparatus according to an embodiment is configured to oxygenate and perfuse a bodily tissue for extracorporeal preservation of the bodily tissue. The apparatus includes a pneumatic system, a pumping chamber, and an organ chamber. The pneumatic system is configured for the controlled delivery of fluid to and from the pumping chamber based on a predetermined control scheme. The predetermined control scheme can be, for example, a time-based control scheme or a pressure-based control scheme. The pumping chamber is configured to diffuse a gas into a perfusate and to generate a pulse wave for moving the perfusate through a bodily tissue. The organ chamber is configured to receive the bodily tissue and the perfusate. The organ chamber is configured to substantially automatically purge excess fluid from the organ chamber to the pumping chamber. The pumping chamber is configured to substantially automatically purge excess fluid from the pumping chamber to an area external to the apparatus