Sinus-Engaging Valve Fixation Member

More specifically, depending on the size of the prosthesis, distance 1843 is between about 1 mm and about 10 mm;

• alternatively between about 1 mm to about 12 mm, or between about 1 mm to about 14 mm;
• alternatively, between about 2 mm and about 9 mm, or between about 2 mm to about 10 mm;
• alternatively between about 3 mm to about 8 mm;
• alternatively between about 4 mm to about 6 mm. The design of support structure 1800 provides a frame that can conform to the patient-specific anatomy, including variability in calcium loads, while maintaining the correct position of the support structure, and therefore ensuring proper valve function.

A valve prosthesis comprising:

• a self-expanding support comprising:
• exactly three engagement arms that meet one another at three respective junctures, wherein the engagement arms are shaped so as to define three troughs;
• three peak complexes at the three respective junctures, each trough disposed between two of the peak complexes and each peak complex comprising three local peaks and two local troughs;
• exactly three support arms;
• exactly three commissure posts, each commissure post disposed at a corresponding one of the three respective junctures;
• wherein a first engagement arm of the exactly three engagement arms includes a first end coupled to a first juncture of the three respective junctures and a second end coupled to a second juncture of the three respective junctures, and a first trough of the three troughs is disposed between the first end and the second end of the first engagement arm,
• wherein a second engagement arm of the exactly three engagement arms includes a first end coupled to the second juncture and a second end coupled to a third juncture of the three respective junctures, and a second trough of the three troughs is disposed between the first end and the second end of the second engagement arm,
• wherein a third engagement arm of the exactly three engagement arms includes a first end coupled to the third juncture and a second end coupled to the first juncture, and a third trough of the three troughs is disposed between the first end and the second end of the third engagement arm,
• wherein a first support arm of the exactly three support arms includes a first end coupled to the first engagement arm between the first juncture and the first trough and a second end coupled to the first engagement arm between the first trough and the second juncture,
• wherein a second support arm of the exactly three support arms includes a first end coupled to the second engagement arm between the second juncture and the second trough and a second end coupled to the second engagement arm between the second trough and the third juncture, and
• wherein a third support arm of the exactly three support arms includes a first end coupled to the third engagement arm between the third juncture and the third trough and a second end coupled to the third engagement arm between the third trough and the first juncture;
• an inflow frame portion including a row of cells, wherein the row of cells defines an inflow end of the inflow frame portion configured to engage a native annulus of a native valve;
• a graft covering coupled to the inflow frame portion;
• three coverings, each covering coupled to a corresponding trough of the three troughs;
• and
• a prosthetic valve coupled to the support;
• wherein the valve prosthesis is configured to be disposed in a native valve complex having three semilunar sinuses and three native commissures, wherein each of the exactly three engagement arms is configured to be at least partially disposed within a respective one of the three semilunar sinuses such that each trough is disposed within the respective one of the three semilunar sinuses.