In as much as most countries are against the use of Bitcoin, I think it would be very beneficial to the healthcare system of countries that's adopted it's use, bitcoin is known for it's security and could ensure that there are no breaches in patients data. It would help Medical institutions ensure that those data's are safe and there would be no illegal access by unauthorised personalities.

 The blockchain could also help manufacturers keep good tracks of of substances used in producing drugs  and prevent drug traffickers from getting access to those substances they'll use in producing fake drugs that could be hazardous to the human health. Over the years many individuals have been victims of fake and counterfeit drugs and I think with the help of blockchain, it could keep track of the substances used for the produce of those fake drugs by drug traffickers.

 Also, medical institutions could benefit from the blockchain technology by using it to also keep track of not only those substances for producing drugs bit for the credentials of their staff, working for them. It could also help in the verification process of employees working for a medical institution. The blockchain could also ensure that the software of an institution is highly secured and safe from being easily accessed or penetrated by hackers.

 Well since several institutions are now accepting Bitcoin as a mode of payment, I think it could also provide a safe and faster means of carrying out transactions in a medical institution, thereby helping to increase the speed of transaction. It could also help in making sure that there's not much cost in transactions, thereby taking of the third party system that the banks and other financial institutions operates on.