Biosafety level 4
The Galveston National Laboratory BSL-4 (P4) lab on the Campus of the University of Texas Medical Branch
This level is required for work with dangerous and exotic agents that pose a high individual risk of aerosol-transmitted laboratory infections, agents which cause severe to fatal disease in humans for which vaccines or other treatments are not available, such as Bolivian and Argentine hemorrhagic fevers, Marburg virus, Ebola virus, Lassa virus, Crimean-Congo hemorrhagic fever, and various other hemorrhagic diseases. This level is also used for work with agents such as smallpox that are considered dangerous enough to require the additional safety measures, regardless of vaccination availability.
When dealing with biological hazards at this level the use of a positive pressure personnel suit, with a segregated air supply is mandatory. The entrance and exit of a level four biolab will contain multiple showers, a vacuum room, an ultraviolet light room, and other safety precautions designed to destroy all traces of the biohazard. Multiple airlocks are employed and are electronically secured to prevent both doors from opening at the same time. All air and water service going to and coming from a biosafety level 4 (or P4) lab will undergo similar decontamination procedures to eliminate the possibility of an accidental release. (wiki)
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Hospital personnel are not expected to come into contact with a level 4 virus.
You are exactly right--this is a very unusual situation and it is wrong to castigate the hospital for negligence. It's what they do NOW that counts.
It does indicate a nationwide problem with inexperience in dealing with "exotic" diseases.