Continued my work by/with/on analysing
Which preposition is correct in the following sentence?
The first paper of my thesis indicated issues in these patients' ongoing care. Therefore, I continued my work by/with/on analysing these patients' rehabilitation.
I continued my work on X implies that X was already the theme and you carried on with it.
Your paragraph suggests that initial research prompted you to study a new aspect of the topic, so I think by would be the best option.