I am not an electrical engineer but rather an anesthesiologist who tinkers in electronics. Ten milliamps applied in the right spot can put a patient into cardiac arrest (this would have to be done via an open break in the skin or via an invasive line providing some sort of conductive path). Most ORs in the US have line isolation monitors that measure leakage current (though they are no longer required by code. See:
https://vam.anest.ufl.edu/simulations/orelectric.php). Electrical isolation is critical.
There is no standard connector for medical equipment though some monitors are somewhat standardized, most often they are not interchangeable. Most sensors do not get routinely autoclaved, they are either thrown away, reprocessed, or wiped down with disinfectant.
Some equipment needs to non-ferromagnetic and/or able to operate around high magnetic fields (i.e. in an MRI scanner). Hope this helps.
ISO 13845 and 60601 apply to medical device safety, you may be able get access to them through your university. If you want to bring prototype or experimental equipment into a patient care area, you will have to go through the healthcare facility's biomedical department (if your facility has one).
Good luck with your project.