Bitcoin is a conveyor machine, meaning that there are no liabilities or debts associated with it. You can't get loan from it , or you can't get profit through interest. If you hold it, its yours. And as such, there can be no run on a bitcoin bank. It's Independent.
Exchanges are the new banks. You can even lend your bitcoins to margin traders and make small gains. There may not be any run on exchanges, but there is always the equivalent of a bank-robbery (hacking of an exchange).
I am trying to write good article and trying to research more to build good article. Really dreaming to get first MERIT. Thanks you guys. (Forgive me for any mistake) 
This may be construed as begging for merit. Not a good idea.