Devices for fluid flow through body passages

1. A device comprising:

a longitudinal axis;

a first end portion having a terminal first end diameter, the first end portion having a first length along the longitudinal axis, the first end portion being self-expanding;

a second end portion having a second end diameter smaller than the terminal first end diameter, the second end portion being substantially cylindrical, the second end portion having a second length along the longitudinal axis, the second end portion being self-expanding;

an intermediate portion between the first end portion and the second end portion, the intermediate portion tapering between the first end portion and the second end portion, the intermediate portion having a third length along the longitudinal axis, the first end portion being frustoconical, the first end portion tapering between the terminal first end diameter and the intermediate portion; and

a graft material coupled to at least the intermediate portion, the device configured to provide fluid flow between a first passage in which the first end portion is anchored and a second passage in which the second end portion is anchored.

2. The device of claim 1 , wherein each of the first end portion, the second end portion, and the intermediate portion comprises cut struts.

3. The device of claim 1 , wherein the first length is between 5 mm and 70 mm.

4. The device of claim 1 , wherein the device has a fourth length including the first length, the second length, and the third length, and wherein the first length is 3% to 47% of the fourth length.

5. The device of claim 1 , wherein the first end portion comprises a first density, the second end portion comprises a second density, and the intermediate portion comprises a third density less than the second density, wherein each of the first end portion, the second end portion, and the intermediate portion are self-expanding, wherein each of the first end portion, the second end portion, and the intermediate portion comprises cut struts, wherein the first length is between 5 mm and 70 mm, wherein the device has a fourth length including the first length, the second length, and the third length, and wherein the first length is 3% to 47% of the fourth length.

6. The device of claim 1 , wherein the terminal first end diameter is between 4 mm and 10 mm.

7. The device of claim 1 , wherein the second end diameter is between 2 mm and 8 mm.

8. The device of claim 1 , wherein the intermediate portion is deformably expandable.

9. The device of claim 1 , wherein each of the first end portion, the second end portion, and the intermediate portion is self-expanding, wherein each of the first end portion, the second end portion, and the intermediate portion comprises cut struts, wherein the first length is between 5 mm and 70 mm, wherein the device has a fourth length including the first length, the second length, and the third length, and wherein the first length is 3% to 47% of the fourth length.

10. A device comprising:

a longitudinal axis;

a first end portion having a terminal first end diameter, the first end portion having a first length along the longitudinal axis;

a second end portion having a second end diameter smaller than the terminal first end diameter, the second end portion being substantially cylindrical, the second end portion having a second length along the longitudinal axis;

an intermediate portion between the first end portion and the second end portion, the intermediate portion tapering between the first end portion and the second end portion, the intermediate portion having a third length along the longitudinal axis, the first end portion being frustoconical, the first end portion tapering between the terminal first end diameter and the intermediate portion,

the device configured to provide fluid flow between a first passage in which the first end portion is anchored and a second passage in which the second end portion is anchored.

11. The device of claim 10 , further comprising a graft material coupled to at least the intermediate portion.

12. The device of claim 10 , wherein each of the first end portion, the second end portion, and the intermediate portion are self-expanding.

13. The device of claim 10 , wherein each of the first end portion, the second end portion, and the intermediate portion comprises cut struts.

14. The device of claim 10 , wherein the first length is between 5 mm and 70 mm.

15. The device of claim 10 , wherein the device has a fourth length including the first length, the second length, and the third length, and wherein the first length is 3% to 47% of the fourth length.

16. The device of claim 10 , wherein the first end portion comprises a first density, the second end portion comprises a second density, and the intermediate portion comprises a third density less than the second density, wherein each of the first end portion, the second end portion, and the intermediate portion are self-expanding, wherein each of the first end portion, the second end portion, and the intermediate portion comprises cut struts, wherein the first length is between 5 mm and 70 mm, wherein the device has a fourth length including the first length, the second length, and the third length, and wherein the first length is 3% to 47% of the fourth length.

17. The device of claim 10 , wherein the terminal first end diameter is between 4 mm and 10 mm.

18. The device of claim 10 , wherein the second end diameter is between 2 mm and 8 mm.

19. The device of claim 10 , wherein the intermediate portion is deformably expandable.

20. The device of claim 10 , wherein each of the first end portion, the second end portion, and the intermediate portion is self-expanding, wherein each of the first end portion, the second end portion, and the intermediate portion comprises cut struts, wherein the first length is between 5 mm and 70 mm, wherein the device has a fourth length including the first length, the second length, and the third length, and wherein the first length is 3% to 47% of the fourth length.