I would mention this incidence to your doctor, yes, it could very well have been hyperventilation or hydration, but, it is best to get something like this looked into.
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I think the EMT may have been right because when you rested and breathed into the bag it went away.
Were you sweating? I'm wondering if maybe you got over heated.
Did you drink enough water before you took the run?
I think the best thing to do is see your Dr just to be safe. You could just call and tell them what happened. They'll let you know if you need to come in for a check up. Remar