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!