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 provided by the outer sheath, the first self-expanding anterior tab, the self-expanding posterior tab, and the ventricular skirt at least partially self-expand radially outward, wherein a portion of the first self-expanding anterior tab and a portion of the self-expanding posterior tab partially self-expand radially outward when the constraint is removed therefrom, wherein the first self-expanding anterior tab fully self-expands radially outward before the posterior tab fully self-expands radially outward when the constraint is removed therefrom, and wherein the self-expanding posterior tab fully self-expands radially outward before the ventricular skirt fully self-expands when the constraint is removed therefrom, and wherein the ventricular skirt fully self-expands last when the constraint is removed. 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 provided by the outer sheath, the first self-expanding anterior tab, the self-expanding posterior tab, and the ventricular skirt at least partially self-expand radially outward, wherein a portion of the first self-expanding anterior tab and a portion of the self-expanding posterior tab partially self-expand radially outward when the constraint is removed therefrom, wherein the first self-expanding anterior tab fully self-expands radially outward before the posterior tab fully self-expands radially outward when the constraint is removed therefrom, and wherein the self-expanding posterior tab fully self-expands radially outward before the ventricular skirt fully self-expands when the constraint is removed therefrom, and wherein the ventricular skirt fully self-expands last when the constraint is removed.