A prosthesis can be configured to grasp intralumenal tissue when deployed within a body cavity and prevent axial flow of fluid around an exterior of the prosthesis. The prosthesis can include an expandable frame configured to radially expand and contract for deployment within the body cavity, and an outer skirt positioned annularly around an exterior of the expandable frame. In some embodiments, the outer skirt can extend outward from the frame and be secured to an outwardly extending anchor on the frame to create an axial barrier to fluid flow exterior to the frame when deployed within the body cavity.
