How is this the trolley problem for someone with a terminal disease? I assume the sick population are the people in the trolley and the experimental patient is the person on the track? In this scenario, by not pulling the lever you just extend the life of the people on the trolley to the end of the ride for a dangerous drug. Where as, pulling the level could save the life of the person on the track and the people in the trolley if the drug is successful.
What am I missing? For non-terminal diseases, it's a bit murkier, but still I don't follow the analogy.