Honestly I'd like to have my mind copied, but may only be 'simulated' once the current me is dead. From my perspective I'll be dead and there's no changing that, but from the clone's perspective, life just goes on.

Physical continuity, in the sense that there is no break so significant that at any point one could say, "Before this, smeej0, and after this, smeej1." Unlike the ship of the famous thought experiment, there is and can be no reconstructing of the replaced parts such that smeej0 could ever be reconstituted, so the analogy breaks down in any attempt to apply it to humans.

Change is ssential to human nature. A human exists--and the same human exists--fron fertilization to death. Fertilization is a change before which we can say "not smeej" and after which, "smeej." And death is also a change before which we can say "smeej" and after which, "not smeej." There will be vastly, vastly more cells at death than there were at fertilization (assuming smeej made it out of the womb and to an observable state), and the original fertilized cell will no longer exist, but there is no other point along the existence of smeej in which a change happens of such significance as to alter whether or not the same thing is present.