Prosthetic heart valve devices with tethered anchors and associated systems and methods

A heart valve device for implantation in a native mitral valve of a heart, the heart valve device comprising:

• a valve support for carrying a prosthetic valve, wherein the valve support is configured to be implanted at an annulus of the native mitral valve;
• at least one elongated flexible member extending from the valve support in a ventricular direction and configured to extend through an opening in a left ventricle of an apical portion of the heart;
• and
• an anchor coupled to the valve support via the at least one elongated flexible member, wherein the anchor is configured to be deployed outside of the heart over the opening, wherein the anchor is configured such that when deployed the anchor contracts around the apical portion of the heart to limit dilation of the left ventricle.

A heart valve device for implantation in a native mitral valve of a heart, the heart valve device comprising:

• a valve support for carrying a prosthetic valve, wherein the valve support is configured to be implanted at an annulus of the native mitral valve;
• a plurality of separate elongated flexible members including respective first ends coupled to the valve support extending from the valve support in a ventricular direction including at least a first elongated flexible member and a second elongated flexible member, wherein the first and second elongated flexible members are separate from each other, the plurality of elongated flexible members being configured to extend through an opening in an apical portion of the heart;
• and
• an anchor coupled to the valve support via the elongated flexible member, wherein the anchor is shaped to wrap around an exterior area of an apical portion of the heart,
• wherein the first elongate flexible member and the second elongate flexible member include separate respective second ends coupled to the anchor at respective first and second regions of the anchor, wherein the first and second regions of the spaced laterally apart from each other.