The invention relates to a transcatheter heart valve replacement (A61F2/2412), and in particular a device and method for percutaneous annular plication and heart valve deployment for mounting a pressure actuated flow control sleeve, a pinch valve, as a replacement device for a heart valve, whereby the prosthesis has an atrial annular flange or cuff having one or more integral plication tissue anchors for engaging the valve annulus, wherein the is a reciprocating mechanical member that is compressed by pressurized working fluid within the heart during ventricular systole.
