A prosthetic valve delivery system, the system comprising a sequentially deployable prosthetic cardiac valve and an outer sheath to constrain the valve, said valve comprising: a self-expanding frame (600; 700; 800; 900) having a first end, a second end opposite the first end, an atrial region (606; 706; 806; 906) near the second end, and a ventricular region (610; 710; 810; 910) near the first end, wherein the self-expanding frame (600; 700; 800; 900) has an expanded configuration and a collapsed configuration, the expanded configuration adapted to engage heart tissue, and the collapsed configuration adapted to be delivered to a patient's heart; a self-expanding atrial skirt (616; 716; 816; 916) disposed in the atrial region (606; 706; 806; 906); a self-expanding ventricular skirt (628; 728; 828; 928) disposed in the ventricular region (610; 710; 810; 910); a self-expanding annular region (608; 708; 808; 908) disposed between the atrial region (606; 706; 806; 906) and the ventricular region (610; 710; 810; 910); a first self-expanding anterior tab (624; 724; 824; 924) disposed on an anterior portion of the self-expanding frame in the ventricular region (610; 710; 810; 910); and a self-expanding posterior tab (630; 730; 830; 930) on a posterior portion of the self-expanding frame in the ventricular region, wherein the strut length or axial position of the anterior or posterior tabs along the frame is such that, upon removal of the constraint provide by the outer sheath, a portion of the first self-expanding anterior tab and a portion of the self-expanding posterior tab partially self-expand radially outward, the first anterior tab self-expands radially outward before the ventricular skirt self-expands radially outward,the ventricular skirt self-expands radially outward before the posterior tab finishes self-expanding, and the posterior tab finishes self-expanding after the ventricular skirt self-expands. a self-expanding frame (600; 700; 800; 900) having a first end, a second end opposite the first end, an atrial region (606; 706; 806; 906) near the second end, and a ventricular region (610; 710; 810; 910) near the first end, wherein the self-expanding frame (600; 700; 800; 900) has an expanded configuration and a collapsed configuration, the expanded configuration adapted to engage heart tissue, and the collapsed configuration adapted to be delivered to a patient's heart; a self-expanding atrial skirt (616; 716; 816; 916) disposed in the atrial region (606; 706; 806; 906); a self-expanding ventricular skirt (628; 728; 828; 928) disposed in the ventricular region (610; 710; 810; 910); a self-expanding annular region (608; 708; 808; 908) disposed between the atrial region (606; 706; 806; 906) and the ventricular region (610; 710; 810; 910); a first self-expanding anterior tab (624; 724; 824; 924) disposed on an anterior portion of the self-expanding frame in the ventricular region (610; 710; 810; 910); and a self-expanding posterior tab (630; 730; 830; 930) on a posterior portion of the self-expanding frame in the ventricular region, wherein the strut length or axial position of the anterior or posterior tabs along the frame is such that, upon removal of the constraint provide by the outer sheath, a portion of the first self-expanding anterior tab and a portion of the self-expanding posterior tab partially self-expand radially outward, the first anterior tab self-expands radially outward before the ventricular skirt self-expands radially outward,the ventricular skirt self-expands radially outward before the posterior tab finishes self-expanding, and the posterior tab finishes self-expanding after the ventricular skirt self-expands.