An orifice valve device for attachment to a mitral valve, the device comprising: an anchoring and manifold assembly coupleable to a delivery catheter, the anchoring and manifold assembly comprising means for anchoring the orifice valve device to the mitral valve or to a fixation device that is attached to the mitral valve, so as to anchor the orifice valve device to the fixation device or mitral valve during use; a peripheral ring anchoring system secured to the anchoring and manifold assembly, the peripheral ring anchoring system including: at least one expandable anchoring ring (412a and/or 412b) that can be expanded within an orifice of the mitral valve so as to surround a perimeter of the orifice; a helical suture, helically disposeable about each of the at least one expandable anchoring ring (412a and/or 412b), the helical suture being configured to secure the expandable anchoring ring (412a and/or 412b) to leaflet tissue around the perimeter of the orifice of the mitral valve; and for each expandable anchoring ring, a trap door valve hingedly secured to the anchoring and manifold assembly, the peripheral ring anchoring system, or both, the trap door valve including: a trap door body configured to selectively seal against the expandable anchoring ring (412a and/or 412b) when it is extending around the perimeter of the orifice of the mitral valve during the systole portion of a cardiac cycle, the trap door body being configured to selectively unseal relative to the expandable anchoring ring (412a and/or 412b) so as to open the orifice of the mitral valve during the diastole portion of the cardiac cycle, characterized in that the helical suture is pre-shaped into a helical shape. an anchoring and manifold assembly coupleable to a delivery catheter, the anchoring and manifold assembly comprising means for anchoring the orifice valve device to the mitral valve or to a fixation device that is attached to the mitral valve, so as to anchor the orifice valve device to the fixation device or mitral valve during use; a peripheral ring anchoring system secured to the anchoring and manifold assembly, the peripheral ring anchoring system including: at least one expandable anchoring ring (412a and/or 412b) that can be expanded within an orifice of the mitral valve so as to surround a perimeter of the orifice; a helical suture, helically disposeable about each of the at least one expandable anchoring ring (412a and/or 412b), the helical suture being configured to secure the expandable anchoring ring (412a and/or 412b) to leaflet tissue around the perimeter of the orifice of the mitral valve; and for each expandable anchoring ring, at least one expandable anchoring ring (412a and/or 412b) that can be expanded within an orifice of the mitral valve so as to surround a perimeter of the orifice; a helical suture, helically disposeable about each of the at least one expandable anchoring ring (412a and/or 412b), the helical suture being configured to secure the expandable anchoring ring (412a and/or 412b) to leaflet tissue around the perimeter of the orifice of the mitral valve; and for each expandable anchoring ring, a trap door valve hingedly secured to the anchoring and manifold assembly, the peripheral ring anchoring system, or both, the trap door valve including: a trap door body configured to selectively seal against the expandable anchoring ring (412a and/or 412b) when it is extending around the perimeter of the orifice of the mitral valve during the systole portion of a cardiac cycle, the trap door body being configured to selectively unseal relative to the expandable anchoring ring (412a and/or 412b) so as to open the orifice of the mitral valve during the diastole portion of the cardiac cycle, characterized in that the helical suture is pre-shaped into a helical shape. a trap door body configured to selectively seal against the expandable anchoring ring (412a and/or 412b) when it is extending around the perimeter of the orifice of the mitral valve during the systole portion of a cardiac cycle, the trap door body being configured to selectively unseal relative to the expandable anchoring ring (412a and/or 412b) so as to open the orifice of the mitral valve during the diastole portion of the cardiac cycle, characterized in that the helical suture is pre-shaped into a helical shape.