Identity problem: will my model be me?
We don't know. There are some reason to expect that it will, because if not, some bizarre theories about human mind must be true. Because of this uncertainty, digital immortality is only plan C of my plan to reaching immortality, where plan A is fighting aging, plan B is cryonics and plan D is so-called "quantum immortality". More in the immortality roadmap
Read more about identity here
(plus an article on the topic is coming).