Tapered heart valve covering

A covering for a prosthetic valve, the covering comprising:

• a first portion configured to couple to an outflow side of the prosthetic valve, the first portion being annular in shape and having a first edge alternating between one or more first tips and one or more first valleys;
• and
• a second portion configured to couple to an inflow side of the prosthetic valve, the second portion being annular in shape and having a second edge alternating between one or more second tips and one or more second valleys, wherein the one or more second tips are configured to couple to the one or more first tips to at least partially cover posts of the prosthetic valve, wherein the one or more second tips have a tapered form, wherein the first portion and the second portion are configured to be coupled together about a frame of the prosthetic valve, and wherein the first portion is configured to couple to the second portion at an interface between a sewing cuff and the frame of the prosthetic valve.

A covering for a prosthetic valve, the covering comprising:

• a first portion configured to couple to an outflow side of the prosthetic valve, the first portion being annular in shape and having a first edge alternating between one or more first tips and one or more first valleys;
• and
• a second portion configured to couple to an inflow side of the prosthetic valve, the second portion being annular in shape and having a second edge alternating between one or more second tips and one or more second valleys, wherein the one or more second tips are configured to couple to the one or more first tips to at least partially cover posts of the prosthetic valve, wherein the one or more second tips have a tapered form, and wherein the first portion includes a fillet operable to limit tissue ingrowth beyond the fillet.