Abstract: First and second atrial arms and first and second ventricular arms are advanced to the heart. The first ventricular arm is moved distally by applying a pulling force to the first ventricular arm at a first fixed connection point that is at a portion of the first ventricular arm that is farthest from a first articulation site of the first atrial arm and the first ventricular arm, and the second ventricular arm is moved distally by applying a pulling force to the second ventricular arm at a second fixed connection point that is at a portion of the second ventricular arm that is farthest from a second articulation site of the second atrial arm and the second ventricular arm. Subsequently, the first native leaflet is clamped between the first arms, and the second native leaflet is clamped between the second arms. Other embodiments are also described.

Abstract: A prosthetic valve comprises a valve body, comprising a tubular frame and a plurality of leaflets; an upstream support, comprising a second frame; and a flexible sheet that couples the upstream support to the valve body. The prosthetic valve is compressible into a delivery tool such that the prosthetic valve is in a compressed state in which the second frame and the tubular frame are arranged in series within the tool, and the valve body has a compressed body-diameter. The prosthetic valve is deployable from the tool such that the prosthetic valve automatically expands into an expanded state. In the expanded state, the second frame defines an inner perimeter, the sheet extends inwardly from the inner perimeter to the valve body, and the prosthetic valve defines a conduit through the upstream support and the valve body. Other embodiments are also described.