Why even compare those items? Doran's is the clear winner, because it gives more health and regen while also having a passive that doesn't go to waste just because you're solo laning. Effective health from potions is nice, but doesn't help in a situation where you're getting ganked or bursted by your enemy top laner if it's someone with high early damage (think Riven or Renekton).
Edit: oh good I see you edited that in yourself.
Edit: oh good I see you edited that in yourself.
Thanks to MissMaw for the signature!
Well, the more important comparison is face of the mountain vs Spirit of the Ancient Golem on top laners (especially considering the PBE changes which removes the regen from Spirit of the Ancient Golem).
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50+6/5*x+150*3=100+10/5*x+150
x=312.5
This means, after 312.5 seconds or 5.2083333... minutes Doran's Shield will start to outscale Relic Shield sustain wise. Of course, this doesn't factor in the passive of Doran's Shield or the saved gold. On Mundo, it wouldn't be that great as a start item because of his passive, he is best with Doran's Shield.