The general advice is to edit your original question only if you're clarifying a point for that specific question (or to fix spelling/grammar/tags/etc).
A new question, even if it's somewhat/wholly related to another, deserves its own post. That way both questions have a distinct focus, can be useful to future visitors, will attract the specific niche expertise required to answer them, and won't get muddied with answers/comments that refer to (potentially) different disciplines.
Referring back to the original question in the new one, by way of a link, is probably the best thing to do; to make sure the new question stands on its own, I'd include some of the context from the original too. Not all of it, of course, but enough to give users who haven't seen the original question a chance to understand what you need.