Grom,
My trainer/coach dude said that he believes people
A) Don't warm up slowly enough
B) Don't train at high heart rates very often
So when you get on one of those hills, without a long warmup and you send your heart rate up 20-30 beats quickly, boom, your lungs freak out. What he suggests is a good long warmup, and don't attack the hill. Let your heart rate build slowly.
I have exercise-induced wheezing, but thankfully never what I think you'd call a full-blown attack. I always keep the albuterol with, especially on cold/dusty/bad air quality days, but the goal (if it's only exercise-induced) is to train the lungs so you don't need the inhaler.
Sometimes if it's cold, I'll do a puff before I leave the house, but then really focus on keeping the heart rate low (115-130) for about 10 minutes before ratcheting up to my normal ride pace (140-150).



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