I went though this game using the least cells possible, and here is how many cells I used:

Level 1: 1 cell

Level 2: 3 cells

Level 3: 2 cells

Level 4: 2 cells

Level 5: 3 cells

Level 6: 2 cells

Level 7: 5 cells

Level 8: 3 cells

Level 9: 3 cells

Level 10: 2 cells

Level 11: 6 cells

Level 12: 3 cells

Level 13: 5 cells

Level 14: 4 cells

Level 15: 8 cells

Level 16: 4 cells

Level 17: 4 cells

See if you can beat any of these!