I know what a bank run is, why it occurs and how it is being prevented (probably better than your average bear) and I see no correlation between that and bitcoin.

The only problem I see, if you could even call it that, is that bitcoin "banks" (exchanges?) are restricted to being 100% warehousing operations since there is nobody to bail them out if (when?) they decide they can make more profit earning interest by loaning out the funds they are contractually obligated to hold.

If you want to avoid a run on your bitcoin exchange then simply don't engage in fractional reserve banking...or, I suppose, don't lose all your holdings to hackers.