Final answer:
The Pseudomonas bacteria colonization in a bile duct post-liver transplant is an example of a nosocomial infection, which can be difficult to treat due to the protective nature of biofilms.
Step-by-step explanation:
The colonization of the bile duct by Pseudomonas bacteria following a liver transplant surgery is an example of a nosocomial infection. This type of infection is acquired in a hospital setting, and it can be particularly dangerous because the pathogens involved may be resistant to multiple antibiotics. The presence of Pseudomonas aeruginosa on hospital sinks even after 10 years indicates the bacterium's ability to survive and persist in hospital environments, potentially leading to new infections. Biofilm-producing bacteria like this are of concern because biofilms protect bacteria from antibiotics and the host's immune system, making infections difficult to treat and clear.