A prosthetic heart valve comprising: an annular supporting structure including: an annular ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100); a stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200) adjacent the ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100), the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200) having a first annular blood-outflow-edge region upstream of a second annular blood-outflow-edge region, the first annular blood outflow edge region being congruent with the second annular blood-outflow-edge region; wherein the annular ring portion is downstream from the stent portion in the direction of blood flow through the valve; wherein the stent portion comprises a plurality of annularly spaced commissure tips at which the stent portion is closest to the ring portion; and strut structures that connect the ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100) to the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200); and a plurality of valve leaflets supported by the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200); wherein a lower edge of each leaflet is attached to the stent portion and an upper edge of each leaflet is not attached to the stent portion, wherein the first annular blood-outflow-edge region and the second annular blood-outflow- edge region extend annularly around the valve in a serpentine pattern; wherein the first annular blood-outflow-edge region and the second annular blood-outflow-edge region are spaced apart by elongated slots, the slots being interrupted by links connecting the first annular blood-outflow-edge region and the second annular blood-outflow-edge region, characterised in that the first annular blood-outflow-edge region and the second annular blood-outflow-edge region are capable of independent movement relative to one another in the vicinity of the commissure tip. an annular ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100); a stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200) adjacent the ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100), the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200) having a first annular blood-outflow-edge region upstream of a second annular blood-outflow-edge region, the first annular blood outflow edge region being congruent with the second annular blood-outflow-edge region; wherein the annular ring portion is downstream from the stent portion in the direction of blood flow through the valve; wherein the stent portion comprises a plurality of annularly spaced commissure tips at which the stent portion is closest to the ring portion; and strut structures that connect the ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100) to the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200); and a plurality of valve leaflets supported by the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200); wherein a lower edge of each leaflet is attached to the stent portion and an upper edge of each leaflet is not attached to the stent portion, wherein the first annular blood-outflow-edge region and the second annular blood-outflow- edge region extend annularly around the valve in a serpentine pattern; wherein the first annular blood-outflow-edge region and the second annular blood-outflow-edge region are spaced apart by elongated slots, the slots being interrupted by links connecting the first annular blood-outflow-edge region and the second annular blood-outflow-edge region, wherein the annular ring portion is downstream from the stent portion in the direction of blood flow through the valve; wherein the stent portion comprises a plurality of annularly spaced commissure tips at which the stent portion is closest to the ring portion; and strut structures that connect the ring portion (100; 1100; 2100; 4100; 5100; 6100; 7100; 8100; 9100; 10100) to the stent portion (200; 1200; 2200; 4200; 5200; 6200; 7200; 8200; 9200; 10200); and