A prosthetic valve includes a tubular frame, a multi-leaflet valve, movable rods, and a flange. The frame includes a lattice, an inflow end portion, and an outflow end portion. The frame is movable between radially collapsed and expanded states. The lattice deflects as the frame moves between the radially collapsed and expanded states. The valve is disposed within and coupled to the frame and is configured to allow one-way blood flow therethrough. The rods are coupled to the lattice of the frame and are configured to facilitate movement of the frame between the radially collapsed and expanded states. The flange is coupled to and extends radially outwardly from the frame and includes deflectable petals. The petals include a first petal having a first length and a second petal having a second length, and the first length is different than the second length.