Final answer:
A patient treated with fluphenazine displaying drooling and pill-rolling finger movements likely has EPS symptoms resembling parkinsonism due to medication effects on the brain's dopamine system.
Step-by-step explanation:
The patient who has been treated with fluphenazine (Prolixin) and exhibits drooling and a slight pill-rolling movement of the fingers is likely experiencing symptoms of extrapyramidal side effects (EPS), specifically parkinsonism. These symptoms resemble those found in Parkinson's disease, such as tremors, slowed movement, and rigidity, and are associated with the effects of medications like fluphenazine on the dopamine system in the brain, particularly in the basal nuclei of the extrapyramidal motor system.