Let's talk about like a bit first. Like can be used two ways. First, as a preposition, which is how we use it in comparisons.
That coat is like this one.
It is often like this on Sundays.
Some rules for that version of like. You CANNOT use it before a clause. In other words, you cannot say:
Dave lives in a stucco house, like Nancy does.
You can't say that because "does" is a verb, so the part after the "like" is a clause. You must use AS before a clause.
Researchers are using computer images to help surgeons plan difficult operations and to develop programs that will work for doctors and nurses in the same way that flight simulators do for pilots, letting medical personnel practice their techniques and test their reflexes before they ever see a patient.
C.to plan difficult operations and to develop programs that will work for doctors and nurses like flight simulators
PROBLEM: The reason "like" is wrong here is that it's unclear what the heck we're comparing. The meaning we want is that the program will work must as flight simulators WORK ("do" would also work). But if we don't repeat the verb, it sounds like this thing works for a particular kind of nurse, the kind of nurse WHO IS like a flight simulator. I know that doesn't make any sense, but that's how this reads. This is why we would prefer "as" in this sentence ("in the same way AS"). We want to compare the action work to work (do), not nurses to flight simulators.
E.to plan difficult operations and developing programs that will work for doctors and nurses like flight simulators do
PROBLEM: Once you have the verb "do," you need AS, not like (it's a clause).
Clearer?
-t