I had a bad nose bleed years ago before I was on Avonex and also more recently after having been on Avonex for ~7 years. Both nose bleeds were very similar, i.e., dripping like a bad leaky faucet as you described. In both cases I was overly tired. The first incident happened while I was in college working in the computer lab one night and the other time happened later in the evening after I had been up the entire preceding night (I know, I'm not supposed to physically stress my body out by depriving it of sleep but sometimes old patterns are hard to break). Anyways, I take both fish oil and r-lipoic acid as well as natural vitamin E. I started these supplements after I was diagnosed with MS so they weren't a factor with the first nose bleed. I used to have bad allergies especially to pollen however these haven't been much of a problem for me anymore since I've been on Avonex. I used to get nose bleeds when I took decongestants during successive days so I have to be careful to take allergy medicine with an antihistamine when my allergies are a problem. I actually attribute both nose bleeds to being overtired (my blood pressure was likely all out of whack especially after being up the prior night when the second incident occurred) so I don't suspect the supplements I take at this time and the nose bleed has not reoccurred. Anyways, if you continue to have bleeding problems you should most certainly see a doctor and get your blood tested. Though one thing to keep in mind is that different brands of supplements will have different additives so it might be that the supplements are a problem, just not the active ingredient. Still, getting your blood tested sounds like the best course of action if you're concerned about the nose bleeds.