well, untill someone who remembers better than me posts, I'll do what I can.
SPOILER!!
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As I recall, the one fire that heals your wounds also resets the trap. You must go through the first fire, then all the others except the healing one in the middle. Is this the path with the switches in the alcoves? If so you must flip them both, and pass through all the flames (but the healing one!). As you hit the last flame patch, the gate should open and stay that way. If it's the other path, then I think I recall that you have to go forward and backward through the first fire (not the center one). Try it... what do you have to lose! Who knows, I might even remember what I'm talking about