A replacement heart valve system may include a delivery sheath and a replacement heart valve. The replacement heart valve may include a mesh anchor member disposed within the delivery sheath in an elongated delivery configuration, the mesh anchor member being expandable to a deployed configuration when unconstrained by the delivery sheath. The mesh anchor member may include an upstream chamber, a downstream chamber, and a tubular middle portion extending between the upstream chamber and the downstream chamber. The replacement heart valve may include a diaphragm disposed within the downstream chamber of the mesh anchor member, wherein the diaphragm is configured to selectively prevent fluid flow through the replacement heart valve.